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• Nishi aggarwal
• Raman mangla
• Parth kansal
• Aashi
• Shivam dhawan
• Samarth goyal
• Abhishek rawat
• Neha jalan
• I WOULD LIKE TO THANK DR. VANDANA SARIN WALIA FOR
PROVIDING OUR TEAM A WONDERFUL OPPORTUNITY TO
APPLY THE KNOWLEDGE , IN PRACTICAL TERMS .
THROUGH THIS PROJECT WE WERE ABLE TO GET THE
ABSOLUTE PRACTICAL IDEA .
WITH HER HELP AND CONTINOUS GUIDENCE WE WERE ABLE
TO COMPLETE THIS PROJECT,
WE HOPE THAT WE ARE ABLE TO MAKE THIS PROJECT UPTO
HER EXPECTATIONS .
THANK YOU !
A time series is a sequence of DATA
POINTS, measured typically at successive
points in time spaced at uniform time
intervals.
 Time series analysis comprises methods for
analyzing time series data in order to extract
meaningful statistics and other characteristics of
the data.
 Examples of data could be: stock market prices,
currency values, item prices, daily temperatures,
weekly rainfall, population growth ETC.
COMPONENTS OF TIME SERIES
• RANDOM• CYCLICAL
• TREND• SEASONAL
ANALYSIS OF
SERIESTIME
MONT
HS 1996 1997 1998 1999 2000 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010 2011 2012 2013 2014
JAN
97.861
1598
102.46
2175
108.71
2753
102.89
9106
112.91
5022
104.21
599
128.20
5549
123.21
29685
93.294
27368
100.03
885
100.54
11201
111.20
8917
102.77
92365
107.46
66035
101.48
0888
96.416
92951
98.936
8017
101.77
97778
FEB
104.05
7193
95.791
333
109.14
4706
96.789
4195
92.745
7724
116.69
1027
102.45
8813
92.310
7854
115.70
16164
115.97
20052
96.670
78553
105.61
16624
101.88
2193
97.901
36545
90.115
30764
120.46
66422
106.57
8335
109.27
29624
102.36
07515
MAR
109.18
8206
103.16
9179
103.46
0856
108.82
9864
92.456
5036
136.26
0039
129.85
1304
125.36
3323
112.47
45804
149.39
65192
98.466
14564
96.379
27348
117.32
4576
110.51
45735
97.262
60455
96.325
25764
103.07
33073
110.80
0654
104.82
27466
APR
111.46
7358
107.52
3474
108.68
5963
101.70
5941
112.80
5
113.50
192
98.107
838
110.55
6573
91.890
61965
105.94
28705
98.945
42937
105.48
47536
100.23
96874
106.78
47235
104.19
07575
103.34
68631
102.53
18664
107.97
1589
104.79
88516
MAY
98.354
7344
104.20
0004
101.10
8533
99.353
67
121.78
7312
116.61
3733
109.72
9608
97.857
1429
101.61
01616
93.251
7426
99.982
50722
103.62
21724
106.80
62445
98.200
15036
106.02
97769
94.941
939
91.850
67263
107.80
42611
98.593
67805
JUN
107.49
1011
93.535
968
101.96
9916
109.04
6708
103.76
3807
113.10
2922
99.993
7058
105.02
7737
105.50
78774
85.306
84141
83.210
23757
105.46
88557
107.34
16357
91.880
57282
113.89
57628
109.56
34916
126.05
48007
109.52
11966
99.949
69939
JUL
94.347
5539
117.22
5696
118.64
9883
95.010
734
94.206
1948
115.93
8644
102.83
2549
104.19
9099
107.96
68122
80.100
35413
110.29
6768
122.14
59576
101.22
02795
87.653
77641
108.41
94228
106.01
92056
106.54
93933
96.853
97141
93.826
68712
AUG
99.962
0817
110.86
5179
93.345
3668
106.97
1995
97.645
4776
81.477
5583
97.571
4264
105.80
9378
94.106
701
101.16
33653
113.13
18083
107.75
94356
79.056
91875
116.90
47752
87.478
59737
97.660
46358
95.589
85776
106.20
56848
98.100
99101
SEP
100.22
1906
95.734
1079
98.472
7703
95.834
3489
92.962
3777
73.611
3589
98.287
3275
98.712
8089
96.334
93304
98.894
90362
105.75
201
83.843
29843
81.633
60869
123.27
66146
91.882
94875
125.93
82608
103.14
30662
94.030
11396
100.37
23134
OCT
89.644
6009
90.192
4588
86.763
1147
109.77
8531
104.14
8502
73.350
7636
98.021
3187
106.78
9359
102.20
79219
108.82
60817
117.91
08385
94.409
13759
98.469
64728
111.80
07663
103.77
03587
86.422
74926
97.997
78197
89.063
33726
94.957
39465
NOV
100.27
2324
84.094
2712
98.900
6928
65.709
7627
95.885
1095
110.00
1652
77.619
3267
79.050
4096
77.653
06122
107.89
92566
89.876
44788
107.30
52098
93.791
1478
100.15
61673
75.792
58414
66.006
58468
86.337
36045
76.810
46066
98.049
58
DEC
91.345
0809
85.049
8819
89.650
6632
99.618
0627
84.846
6544
91.364
8069
89.505
0336
88.194
8017
95.916
62706
96.576
58067
85.144
77189
88.540
69045
89.263
36513
87.800
69473
87.920
08259
111.16
11531
89.519
86208
96.603
13316
107.15
44987
GRAPH
0
200
400
600
800
1000
1200
1400
1600
Sep-95
Apr-96
Nov-96
Jun-97
Jan-98
Aug-98
Mar-99
Oct-99
May-00
Dec-00
Jul-01
Feb-02
Sep-02
Apr-03
Nov-03
Jun-04
Jan-05
Aug-05
Mar-06
Oct-06
May-07
Dec-07
Jul-08
Feb-09
Sep-09
Apr-10
Nov-10
Jun-11
Jan-12
Aug-12
Mar-13
Oct-13
May-14
Dec-14
Jul-15
Prices of Oranges
Prices of Oranges
COMPONENTS OF TIME SERIES
SECULAR TREND
• The component responsible for the general
behaviour of time series is called trend
• It is a long term tendency of any particular activity to
grow or to decline.
• Trend may be upward or downward.
• Linear or non linear trend.
RANDOM COMPONENT
•Random, irregular, erratic in nature
•Cannot be foreseen
•No reasons , no causes can be attributed
•Causes- strikes,fire,femines etc
PERIODIC COMPONENT
PERODIC MOVEMENT
RECCUR AFTER A TIME
PERIOD OF LESS THAN
ONE YEAR
THE PERIOD OF
OSCCILATION IS MORE
THAN ONE YEAR
THE CYLCES CAN BE
OF DIFFERENT
INTENSITY AND
PERIODICITY
THERE ARE TWO TYPES OF MODELS
ADDITIVE MODEL
• This is used when the components are independent
• Yt = Tt + St + Ct + Rt
MULTIPLICATIVE MODEL
• This used when components are inter-dependent.
• Yt = Tt * St* Ct* Rt
• logYt = LogTt + LogSt + LogCt + LogRt
Advantages of ANALYSING TIME SERIES .
• Understanding the phenomenon under
consideration
• Gaining knowledge about the Past behaviour.
• Evaluate Current behaviour of the time series.
• Preparing and projecting the future of time
series.
METHODS FOR MEASURING TRENDS
 Free hand curve method
• Plot the given T.S on a graph taking a time variable t on X axis .
• Join the plotted points with dotted lines
• Draw a smooth line by the inspection of above graph
 Method of semi averages
• Divide the time series into equal halves with respect to time
• Calculate the average of each halve
• Semi averages are plotted against the mid points
• Join the two averages.
METHOD OF MOVING AVERAGES
 Moving average represents the central tendency of data in parts.
The extent of moving average is determined by the period of oscillation
whenever the oscillatory movement is regular or average of period of
oscillations when it is irregular.
 It is appropriate to use this method when
• Trend is approximately linear.
• Oscillatory movement is regular.
 METHOD OF FITTING MATHEMATICAL CURVES
There are many mathematical curves that can be fitted to a time series
data. An examination of the plotted data often provides an adequate
basis for deciding upon which type of trend to use.
The different types of curves are
• A straight line
• Second degree parabola
• Kth degree polynomial
• Exponential curves
• Growth curves
 Modified exponential curve
 Gompertz curve
 Logistic curve
Months yt log yt Δyt log10 yt Δ(log yt) Δ2(log yt) Δyt/Δyt-1 Δ(log yt)/Δ(log yt-1)
Sep-95 537.550 6.288 2.730
Oct-95 546.210 6.304 8.660 2.737 0.007 1.003
Nov-95 564.240 6.336 18.030 2.751 0.014 0.007 2.032 1.005
Dec-95 443.230 6.095 -121.010 2.647 -0.105 -0.119 -7.433 0.962
Months yt log yt Δyt log10 yt Δ(log yt) Δ2(log yt) Δyt/Δyt-1 Δ(log yt)/Δ(log yt-1)
Jan-96 417.530 6.035 -25.700 2.621 -0.026 0.079 0.247 0.990
Feb-96 434.470 6.075 16.940 2.638 0.017 0.043 -0.666 1.007
Mar-96 474.390 6.163 39.920 2.676 0.038 0.021 2.210 1.014
Apr-96 528.790 6.271 54.400 2.723 0.047 0.009 1.235 1.018
May-96 520.090 6.255 -8.700 2.716 -0.007 -0.054 -0.153 0.997
Jun-96 559.050 6.327 38.960 2.747 0.031 0.039 -4.354 1.012
Jul-96 527.450 6.269 -31.600 2.722 -0.025 -0.057 -0.805 0.991
Aug-96 527.250 6.268 -0.200 2.722 0.000 0.025 0.007 1.000
Sep-96 528.420 6.271 1.170 2.723 0.001 0.001 -5.845 1.000
Oct-96 473.700 6.161 -54.720 2.676 -0.047 -0.048 -49.317 0.983
Nov-96 474.990 6.164 1.290 2.677 0.001 0.049 -0.025 1.000
Dec-96 433.880 6.073 -41.110 2.637 -0.039 -0.040 -33.287 0.985
Months yt log yt Δyt log10 yt Δ(log yt) Δ2(log yt) Δyt/Δyt-1 Δ(log yt)/Δ(log yt-1)
Jan-97 424.600 6.052 -9.280 2.628 -0.009 0.030 0.239 0.996
Feb-97 406.730 6.009 -17.870 2.609 -0.019 -0.009 1.989 0.993
Mar-97 419.620 6.040 12.890 2.623 0.014 0.032 -0.726 1.005
Apr-97 451.190 6.113 31.570 2.654 0.032 0.018 2.325 1.012
May-97 470.140 6.154 18.950 2.672 0.018 -0.014 0.567 1.007
Jun-97 439.750 6.087 -30.390 2.643 -0.029 -0.047 -1.624 0.989
Jul-97 515.500 6.246 75.750 2.712 0.069 0.098 -2.378 1.026
Aug-97 571.510 6.349 56.010 2.757 0.045 -0.024 0.649 1.017
Sep-97 547.130 6.305 -24.380 2.738 -0.019 -0.064 -0.423 0.993
Oct-97 493.470 6.202 -53.660 2.693 -0.045 -0.026 2.368 0.984
Nov-97 414.980 6.029 -78.490 2.618 -0.075 -0.030 1.678 0.972
Dec-97 352.940 5.867 -62.040 2.548 -0.070 0.005 0.935 0.973
Months yt log yt Δyt log10 yt Δ(log yt) Δ2(log yt) Δyt/Δyt-1 Δ(log yt)/Δ(log yt-1)
Jan-98 361.630 5.891 8.690 2.558 0.011 0.081 -0.150 1.004
Feb-98 394.700 5.979 33.070 2.596 0.038 0.027 3.598 1.015
Mar-98 408.360 6.013 13.660 2.611 0.015 -0.023 0.389 1.006
Apr-98 443.830 6.096 35.470 2.647 0.036 0.021 2.448 1.014
May-98 448.750 6.107 4.920 2.652 0.005 -0.031 0.132 1.002
Jun-98 457.590 6.127 8.840 2.660 0.008 0.004 1.770 1.003
Jul-98 542.930 6.298 85.340 2.735 0.074 0.066 8.766 1.028
Aug-98 506.800 6.229 -36.130 2.705 -0.030 -0.104 -0.403 0.989
Sep-98 499.060 6.213 -7.740 2.698 -0.007 0.023 0.223 0.998
Oct-98 433.000 6.071 -66.060 2.636 -0.062 -0.055 9.226 0.977
Nov-98 428.240 6.060 -4.760 2.632 -0.005 0.057 0.078 0.998
Dec-98 383.920 5.951 -44.320 2.584 -0.047 -0.043 9.883 0.982
Months yt log yt Δyt log10 yt Δ(log yt) Δ2(log yt) Δyt/Δyt-1 Δ(log yt)/Δ(log yt-1)
Jan-99 417.370 6.035 33.450 2.621 0.036 0.084 -0.765 1.014
Feb-99 403.970 6.002 -13.400 2.606 -0.014 -0.050 -0.391 0.995
Mar-99 439.640 6.087 35.670 2.643 0.037 0.051 -2.593 1.014
Apr-99 447.140 6.104 7.500 2.650 0.007 -0.029 0.200 1.003
May-99 444.250 6.097 -2.890 2.648 -0.003 -0.010 -0.383 0.999
Jun-99 484.440 6.184 40.190 2.685 0.038 0.040 -13.356 1.014
Jul-99 460.270 6.132 -24.170 2.663 -0.022 -0.060 -0.591 0.992
Aug-99 492.360 6.200 32.090 2.692 0.029 0.051 -1.317 1.011
Sep-99 471.850 6.157 -20.510 2.674 -0.018 -0.048 -0.631 0.993
Oct-99 517.990 6.251 46.140 2.714 0.041 0.059 -2.193 1.015
Nov-99 340.370 5.831 -177.620 2.532 -0.182 -0.223 -4.501 0.933
Dec-99 339.070 5.827 -1.300 2.530 -0.002 0.181 0.009 0.999
Months yt log yt Δyt log10 yt Δ(log yt) Δ2(log yt) Δyt/Δyt-1 Δ(log yt)/Δ(log yt-1)
Jan-00 348.900 5.855 9.830 2.543 0.012 0.014 -7.468 1.005
Feb-00 323.590 5.780 -25.310 2.510 -0.033 -0.045 -2.635 0.987
Mar-00 299.180 5.702 -24.410 2.476 -0.034 -0.001 1.041 0.986
Apr-00 337.490 5.822 38.310 2.528 0.052 0.086 -1.536 1.021
May-00 411.020 6.019 73.530 2.614 0.086 0.033 1.636 1.034
Jun-00 426.490 6.056 15.470 2.630 0.016 -0.070 0.187 1.006
Jul-00 401.780 5.997 -24.710 2.604 -0.026 -0.042 -1.615 0.990
Aug-00 392.320 5.973 -9.460 2.594 -0.010 0.016 0.399 0.996
Sep-00 364.710 5.900 -27.610 2.562 -0.032 -0.021 3.063 0.988
Oct-00 379.840 5.940 15.130 2.580 0.018 0.049 -0.557 1.007
Nov-00 364.210 5.898 -15.630 2.561 -0.018 -0.036 -1.034 0.993
Dec-00 309.020 5.734 -55.190 2.490 -0.071 -0.053 3.911 0.972
Months yt log yt Δyt log10 yt Δ(log yt) Δ2(log yt) Δyt/Δyt-1 Δ(log yt)/Δ(log yt-1)
Jan-01 348.930 5.855 39.910 2.543 0.053 0.124 -0.739 1.021
Feb-01 407.170 6.010 58.240 2.610 0.067 0.014 1.271 1.026
Mar-01 554.810 6.319 147.640 2.744 0.134 0.067 2.004 1.051
Apr-01 629.720 6.446 74.910 2.799 0.055 -0.079 0.409 1.020
May-01 734.340 6.600 104.620 2.866 0.067 0.012 1.214 1.024
Jun-01 830.560 6.723 96.220 2.919 0.053 -0.013 0.801 1.019
Jul-01 962.940 6.871 132.380 2.984 0.064 0.011 1.201 1.022
Aug-01 784.580 6.666 -178.360 2.895 -0.089 -0.153 -1.385 0.970
Sep-01 577.540 6.359 -207.040 2.762 -0.133 -0.044 1.496 0.954
Oct-01 423.630 6.049 -153.910 2.627 -0.135 -0.002 1.012 0.951
Nov-01 466.000 6.145 42.370 2.668 0.041 0.176 -0.308 1.016
Dec-01 425.760 6.055 -40.240 2.629 -0.039 -0.081 -0.947 0.985
Months yt log yt Δyt log10 yt Δ(log yt) Δ2(log yt) Δyt/Δyt-1 Δ(log yt)/Δ(log yt-1)
Jan-02 443.710 6.096 17.950 2.647 0.018 0.057 -0.457 1.007
Feb-02 454.620 6.120 10.910 2.658 0.011 -0.007 0.588 1.004
Mar-02 590.330 6.381 135.710 2.771 0.113 0.103 10.754 1.043
Apr-02 579.160 6.362 -11.170 2.763 -0.008 -0.122 -0.073 0.997
May-02 635.510 6.455 56.350 2.803 0.040 0.049 -4.860 1.015
Jun-02 635.470 6.455 -0.040 2.803 0.000 -0.040 -0.001 1.000
Jul-02 653.470 6.483 18.000 2.815 0.012 0.012 -443.759 1.004
Aug-02 637.600 6.458 -15.870 2.805 -0.011 -0.023 -0.880 0.996
Sep-02 626.680 6.441 -10.920 2.797 -0.008 0.003 0.703 0.997
Oct-02 614.280 6.421 -12.400 2.788 -0.009 -0.001 1.157 0.997
Nov-02 476.800 6.168 -137.480 2.678 -0.110 -0.101 12.677 0.961
Dec-02 426.760 6.057 -50.040 2.630 -0.048 0.062 0.438 0.982
Months yt log yt Δyt log10 yt Δ(log yt) Δ2(log yt) Δyt/Δyt-1 Δ(log yt)/Δ(log yt-1)
Jan-03 547.130 6.305 120.370 2.738 0.108 0.156 -2.241 1.041
Feb-03 505.060 6.225 -42.070 2.703 -0.035 -0.143 -0.322 0.987
Mar-03 633.160 6.451 128.100 2.802 0.098 0.133 -2.825 1.036
Apr-03 700.000 6.552 66.840 2.845 0.044 -0.055 0.444 1.016
May-03 685.000 6.530 -15.000 2.836 -0.009 -0.053 -0.216 0.997
Jun-03 719.440 6.579 34.440 2.857 0.021 0.031 -2.265 1.008
Jul-03 749.650 6.620 30.210 2.875 0.018 -0.003 0.839 1.006
Aug-03 793.200 6.677 43.550 2.899 0.025 0.007 1.373 1.009
Sep-03 782.990 6.664 -10.210 2.894 -0.006 -0.030 -0.229 0.998
Oct-03 836.150 6.730 53.160 2.922 0.029 0.034 -5.070 1.010
Nov-03 660.980 6.494 -175.170 2.820 -0.102 -0.131 -3.579 0.965
Dec-03 582.950 6.369 -78.030 2.766 -0.055 0.048 0.534 0.981
Months yt log yt Δyt log10 yt Δ(log yt) Δ2(log yt) Δyt/Δyt-1 Δ(log yt)/Δ(log yt-1)
Jan-04 718.270 6.578 135.320 2.856 0.091 0.145 -1.662 1.033
Feb-04 831.050 6.723 112.780 2.920 0.063 -0.027 0.699 1.022
Mar-04 934.720 6.841 103.670 2.971 0.051 -0.012 0.806 1.017
Apr-04 858.920 6.756 -75.800 2.934 -0.037 -0.088 -0.719 0.988
May-04 872.750 6.772 13.830 2.941 0.007 0.044 -0.189 1.002
Jun-04 920.820 6.826 48.070 2.964 0.023 0.016 3.357 1.008
Jul-04 994.180 6.903 73.360 2.997 0.033 0.010 1.430 1.011
Aug-04 935.590 6.842 -58.590 2.971 -0.026 -0.060 -0.792 0.991
Sep-04 901.300 6.805 -34.290 2.955 -0.016 0.010 0.615 0.995
Oct-04 921.200 6.826 19.900 2.964 0.009 0.026 -0.585 1.003
Nov-04 715.340 6.573 -205.860 2.855 -0.110 -0.119 -11.581 0.963
Dec-04 686.130 6.532 -29.210 2.836 -0.018 0.092 0.165 0.994
Months yt log yt Δyt log10 yt Δ(log yt) Δ2(log yt) Δyt/Δyt-1 Δ(log yt)/Δ(log yt-1)
Jan-05 640.120 6.462 -46.010 2.806 -0.030 -0.012 1.665 0.989
Feb-05 742.360 6.611 102.240 2.871 0.064 0.094 -2.135 1.023
Mar-05 1109.060 7.012 366.700 3.045 0.174 0.110 2.709 1.061
Apr-05 1174.970 7.070 65.910 3.070 0.025 -0.149 0.144 1.008
May-05 1095.680 7.000 -79.290 3.040 -0.030 -0.055 -1.210 0.990
Jun-05 934.690 6.841 -160.990 2.971 -0.069 -0.039 2.275 0.977
Jul-05 748.690 6.619 -186.000 2.874 -0.096 -0.027 1.396 0.968
Aug-05 757.400 6.631 8.710 2.879 0.005 0.101 -0.052 1.002
Sep-05 749.030 6.619 -8.370 2.874 -0.005 -0.010 -0.961 0.998
Oct-05 815.140 6.704 66.110 2.911 0.037 0.042 -7.611 1.013
Nov-05 879.530 6.780 64.390 2.944 0.033 -0.004 0.899 1.011
Dec-05 849.420 6.745 -30.110 2.929 -0.015 -0.048 -0.458 0.995
Months yt log yt Δyt log10 yt Δ(log yt) Δ2(log yt) Δyt/Δyt-1 Δ(log yt)/Δ(log yt-1)
Jan-06 849.750 6.746 0.330 2.929 0.000 0.015 -0.011 1.000
Feb-06 821.460 6.712 -28.290 2.915 -0.015 -0.015 -87.170 0.995
Mar-06 808.860 6.696 -12.600 2.908 -0.007 0.008 0.457 0.998
Apr-06 800.330 6.686 -8.530 2.903 -0.005 0.002 0.686 0.998
May-06 800.190 6.686 -0.140 2.903 0.000 0.005 0.017 1.000
Jun-06 665.840 6.502 -134.350 2.823 -0.080 -0.080 1050.626 0.973
Jul-06 734.400 6.600 68.560 2.866 0.043 0.122 -0.533 1.015
Aug-06 830.840 6.723 96.440 2.920 0.054 0.011 1.259 1.019
Sep-06 878.630 6.779 47.790 2.944 0.024 -0.029 0.453 1.008
Oct-06 1036.000 6.944 157.370 3.015 0.072 0.047 2.946 1.024
Nov-06 931.120 6.837 -104.880 2.969 -0.046 -0.118 -0.648 0.985
Dec-06 792.800 6.676 -138.320 2.899 -0.070 -0.023 1.507 0.976
Months yt log yt Δyt log10 yt Δ(log yt) Δ2(log yt) Δyt/Δyt-1 Δ(log yt)/Δ(log yt-1)
Jan-07 797.090 6.682 4.290 2.902 0.002 0.072 -0.034 1.001
Feb-07 841.820 6.736 44.730 2.925 0.024 0.021 10.117 1.008
Mar-07 811.340 6.699 -30.480 2.909 -0.016 -0.040 -0.675 0.995
Apr-07 855.840 6.753 44.500 2.932 0.023 0.039 -1.448 1.008
May-07 886.840 6.788 31.000 2.948 0.015 -0.008 0.666 1.005
Jun-07 935.340 6.842 48.500 2.971 0.023 0.008 1.496 1.008
Jul-07 1142.480 7.042 207.140 3.058 0.087 0.064 3.757 1.029
Aug-07 1231.130 7.116 88.650 3.090 0.032 -0.054 0.374 1.011
Sep-07 1032.220 6.940 -198.910 3.014 -0.077 -0.109 -2.358 0.975
Oct-07 974.510 6.883 -57.710 2.989 -0.025 0.052 0.326 0.992
Nov-07 1045.700 6.953 71.190 3.019 0.031 0.056 -1.226 1.010
Dec-07 925.870 6.831 -119.830 2.967 -0.053 -0.083 -1.726 0.982
Months yt log yt Δyt log10 yt Δ(log yt) Δ2(log yt) Δyt/Δyt-1 Δ(log yt)/Δ(log yt-1)
Jan-08 1029.650 6.938 103.780 3.013 0.046 0.099 -0.873 1.016
Feb-08 1049.030 6.956 19.380 3.021 0.008 -0.038 0.176 1.003
Mar-08 1230.770 7.116 181.740 3.090 0.069 0.061 8.568 1.023
Apr-08 1233.720 7.119 2.950 3.091 0.001 -0.068 0.015 1.000
May-08 1317.690 7.184 83.970 3.120 0.029 0.028 27.505 1.009
Jun-08 1414.430 7.255 96.740 3.151 0.031 0.002 1.076 1.010
Jul-08 1431.690 7.267 17.260 3.156 0.005 -0.026 0.171 1.002
Aug-08 1131.850 7.032 -299.840 3.054 -0.102 -0.107 -19.375 0.968
Sep-08 923.970 6.829 -207.880 2.966 -0.088 0.014 0.864 0.971
Oct-08 909.830 6.814 -14.140 2.959 -0.007 0.081 0.076 0.998
Nov-08 853.340 6.750 -56.490 2.931 -0.028 -0.021 4.156 0.991
Dec-08 761.720 6.636 -91.620 2.882 -0.049 -0.021 1.772 0.983
Months yt log yt Δyt log10 yt Δ(log yt) Δ2(log yt) Δyt/Δyt-1 Δ(log yt)/Δ(log yt-1)
Jan-09 782.890 6.664 21.170 2.894 0.012 0.061 -0.241 1.004
Feb-09 766.460 6.642 -16.430 2.884 -0.009 -0.021 -0.774 0.997
Mar-09 847.050 6.742 80.590 2.928 0.043 0.053 -4.714 1.015
Apr-09 904.520 6.808 57.470 2.956 0.029 -0.015 0.657 1.010
May-09 888.240 6.790 -16.280 2.949 -0.008 -0.036 -0.277 0.997
Jun-09 816.120 6.705 -72.120 2.912 -0.037 -0.029 4.662 0.988
Jul-09 715.360 6.573 -100.760 2.855 -0.057 -0.020 1.556 0.980
Aug-09 836.290 6.730 120.930 2.922 0.068 0.125 -1.185 1.024
Sep-09 1030.950 6.939 194.660 3.013 0.091 0.023 1.340 1.031
Oct-09 1152.610 7.051 121.660 3.062 0.048 -0.042 0.533 1.016
Nov-09 1154.410 7.052 1.800 3.062 0.001 -0.048 0.014 1.000
Dec-09 1013.580 6.922 -140.830 3.006 -0.057 -0.057 -83.374 0.982
Months yt log yt Δyt log10 yt Δ(log yt) Δ2(log yt) Δyt/Δyt-1 Δ(log yt)/Δ(log yt-1)
Jan-10 1089.260 6.994 75.680 3.037 0.031 0.088 -0.553 1.010
Feb-10 981.590 6.890 -107.670 2.992 -0.045 -0.076 -1.445 0.985
Mar-10 954.720 6.862 -26.870 2.980 -0.012 0.033 0.267 0.996
Apr-10 994.730 6.903 40.010 2.998 0.018 0.030 -1.479 1.006
May-10 1054.710 6.962 59.980 3.023 0.025 0.008 1.426 1.008
Jun-10 1201.270 7.092 146.560 3.080 0.057 0.031 2.222 1.019
Jul-10 1302.410 7.173 101.140 3.115 0.035 -0.021 0.621 1.011
Aug-10 1139.330 7.039 -163.080 3.057 -0.058 -0.093 -1.655 0.981
Sep-10 1046.850 6.954 -92.480 3.020 -0.037 0.021 0.633 0.988
Oct-10 1086.320 6.991 39.470 3.036 0.016 0.053 -0.437 1.005
Nov-10 823.350 6.714 -262.970 2.916 -0.120 -0.136 -7.489 0.960
Dec-10 723.890 6.585 -99.460 2.860 -0.056 0.064 0.464 0.981
Months yt log yt Δyt log10 yt Δ(log yt) Δ2(log yt) Δyt/Δyt-1 Δ(log yt)/Δ(log yt-1)
Jan-11 734.610 6.600 10.720 2.866 0.006 0.062 -0.114 1.002
Feb-11 884.960 6.786 150.350 2.947 0.081 0.074 12.667 1.028
Mar-11 852.440 6.749 -32.520 2.931 -0.016 -0.097 -0.201 0.994
Apr-11 880.970 6.782 28.530 2.945 0.014 0.031 -0.879 1.005
May-11 836.410 6.730 -44.560 2.922 -0.023 -0.037 -1.577 0.992
Jun-11 916.400 6.821 79.990 2.962 0.040 0.062 -1.760 1.014
Jul-11 971.560 6.880 55.160 2.987 0.025 -0.014 0.640 1.009
Aug-11 948.830 6.856 -22.730 2.977 -0.010 -0.036 -0.405 0.997
Sep-11 1194.940 7.087 246.110 3.077 0.100 0.110 -9.742 1.034
Oct-11 1032.700 6.941 -162.240 3.014 -0.063 -0.164 -0.633 0.979
Nov-11 681.650 6.525 -351.050 2.834 -0.180 -0.117 2.847 0.940
Dec-11 757.730 6.631 76.080 2.880 0.046 0.226 -0.255 1.016
Months yt log yt Δyt log10 yt Δ(log yt) Δ2(log yt) Δyt/Δyt-1 Δ(log yt)/Δ(log yt-1)
Jan-12 730.580 6.595 -27.150 2.864 -0.016 -0.062 -0.345 0.994
Feb-12 778.640 6.658 48.060 2.891 0.028 0.044 -1.746 1.010
Mar-12 802.570 6.689 23.930 2.904 0.013 -0.015 0.475 1.005
Apr-12 822.890 6.714 20.320 2.915 0.011 -0.002 0.826 1.004
May-12 755.830 6.629 -67.060 2.878 -0.037 -0.048 -3.400 0.987
Jun-12 952.760 6.860 196.930 2.979 0.101 0.137 -2.724 1.035
Jul-12 1015.160 6.924 62.400 3.007 0.028 -0.073 0.274 1.009
Aug-12 970.390 6.878 -44.770 2.987 -0.020 -0.047 -0.711 0.993
Sep-12 1000.890 6.909 30.500 3.000 0.013 0.033 -0.686 1.004
Oct-12 980.850 6.889 -20.040 2.992 -0.009 -0.022 -0.654 0.997
Nov-12 846.840 6.742 -134.010 2.928 -0.064 -0.055 7.264 0.979
Dec-12 758.090 6.631 -88.750 2.880 -0.048 0.016 0.754 0.984
Months yt log yt Δyt log10 yt Δ(log yt) Δ2(log yt) Δyt/Δyt-1 Δ(log yt)/Δ(log yt-1)
Jan-13 750.030 6.621 -8.060 2.875 -0.005 0.043 0.097 0.998
Feb-13 819.580 6.709 69.550 2.914 0.039 0.043 -8.296 1.013
Mar-13 908.100 6.812 88.520 2.958 0.045 0.006 1.157 1.015
Apr-13 980.490 6.889 72.390 2.991 0.033 -0.011 0.748 1.011
May-13 1057.010 6.964 76.520 3.024 0.033 -0.001 0.980 1.011
Jun-13 1157.650 7.055 100.640 3.064 0.039 0.007 1.210 1.013
Jul-13 1121.230 7.023 -36.420 3.050 -0.014 -0.053 -0.351 0.995
Aug-13 1190.810 7.083 69.580 3.076 0.026 0.040 -1.883 1.009
Sep-13 1119.720 7.022 -71.090 3.049 -0.027 -0.053 -1.022 0.991
Oct-13 997.260 6.906 -122.460 2.999 -0.050 -0.024 1.882 0.984
Nov-13 766.000 6.642 -231.260 2.884 -0.115 -0.064 2.278 0.962
Dec-13 739.980 6.607 -26.020 2.869 -0.015 0.100 0.131 0.995
Months yt log yt Δyt log10 yt Δ(log yt) Δ2(log yt) Δyt/Δyt-1 Δ(log yt)/Δ(log yt-1)
Jan-14 753.150 6.625 13.170 2.877 0.008 0.023 -0.510 1.003
Feb-14 770.930 6.648 17.780 2.887 0.010 0.002 1.323 1.004
Mar-14 808.110 6.695 37.180 2.907 0.020 0.010 2.019 1.007
Apr-14 846.890 6.742 38.780 2.928 0.020 0.000 0.995 1.007
May-14 834.980 6.728 -11.910 2.922 -0.006 -0.027 -0.302 0.998
Jun-14 834.560 6.728 -0.420 2.921 0.000 0.006 0.036 1.000
Jul-14 783.040 6.664 -51.520 2.894 -0.028 -0.027 126.648 0.991
Aug-14 768.170 6.645 -14.870 2.885 -0.008 0.019 0.301 0.997
Sep-14 771.030 6.648 2.860 2.887 0.002 0.010 -0.194 1.001
Oct-14 732.150 6.597 -38.880 2.865 -0.022 -0.024 -13.923 0.992
Nov-14 717.870 6.577 -14.280 2.856 -0.009 0.014 0.381 0.997
Dec-14 769.230 6.646 51.360 2.886 0.030 0.039 -3.508 1.011
Months yt log yt Δyt log10 yt Δ(log yt) Δ2(log yt) Δyt/Δyt-1 Δ(log yt)/Δ(log yt-1)
Jan-15 758.020 6.631 -11.210 2.880 -0.006 -0.036 -0.212 0.998
Feb-15 704.170 6.558 -53.850 2.848 -0.032 -0.026 5.020 0.989
Mar-15 633.290 6.452 -70.880 2.802 -0.046 -0.014 1.440 0.984
Apr-15 612.130 6.418 -21.160 2.787 -0.015 0.031 0.320 0.995
May-15 608.640 6.412 -3.490 2.784 -0.002 0.012 0.168 0.999
Jun-15 629.900 6.446 21.260 2.799 0.015 0.017 -6.005 1.005
Jul-15 640.110 6.462 10.210 2.806 0.007 -0.008 0.468 1.002
Aug-15 684.280 6.529 44.170 2.835 0.029 0.022 4.150 1.010
Sep-15 631.910 6.449 -52.370 2.801 -0.035 -0.064 -1.193 0.988
Gompertz curve can be fitted by two method. These are :
 Method of 3 selected points
 Method of partial sums :
In this method the time series data is divided into 3 equal parts. For this purpose
one or two values may be ignored from the data depending upon the relevance of
future or past data.
Now the sums of values of 3 equal parts namely S1 ,S2 and S3 are used to estimate
values of k , A and b as shown below.
S1 490.6460564
S2 538.1634728
S3 541.2514735
K 6.768326256
A -1.889290886
b 0.966407534
k 869.8547604
a 0.151178974
Months K+Abt Trend Values
Jan-96 5.176 176.929
Feb-96 5.229 186.652
Mar-96 5.281 196.556
Apr-96 5.331 206.627
May-96 5.379 216.849
Jun-96 5.426 227.208
Jul-96 5.471 237.689
Aug-96 5.515 248.276
Sep-96 5.557 258.957
Oct-96 5.597 269.714
Nov-96 5.637 280.535
Dec-96 5.675 291.405
Months K+Abt Trend Values
Sep-95 4.943 140.120
Oct-95 5.004 148.983
Nov-95 5.063 158.081
Dec-95 5.120 167.401
Months K+Abt Trend Values
Jan-97 5.711 302.309
Feb-97 5.747 313.235
Mar-97 5.781 324.169
Apr-97 5.814 335.098
May-97 5.846 346.009
Jun-97 5.877 356.892
Jul-97 5.907 367.734
Aug-97 5.936 378.525
Sep-97 5.964 389.254
Oct-97 5.991 399.912
Nov-97 6.017 410.489
Dec-97 6.043 420.976
Months K+Abt Trend Values
Jan-98 6.067 431.365
Feb-98 6.091 441.649
Mar-98 6.113 451.821
Apr-98 6.135 461.873
May-98 6.157 471.800
Jun-98 6.177 481.596
Jul-98 6.197 491.257
Aug-98 6.216 500.777
Sep-98 6.235 510.152
Oct-98 6.253 519.379
Nov-98 6.270 528.455
Dec-98 6.287 537.376
Months K+Abt Trend Values
Jan-99 6.303 546.141
Feb-99 6.319 554.748
Mar-99 6.334 563.194
Apr-99 6.348 571.478
May-99 6.362 579.600
Jun-99 6.376 587.559
Jul-99 6.389 595.354
Aug-99 6.402 602.986
Sep-99 6.414 610.454
Oct-99 6.426 617.760
Nov-99 6.438 624.902
Dec-99 6.449 631.884
Months K+Abt Trend Values
Jan-00 6.459 638.705
Feb-00 6.470 645.367
Mar-00 6.480 651.871
Apr-00 6.490 658.219
May-00 6.499 664.412
Jun-00 6.508 670.452
Jul-00 6.517 676.342
Aug-00 6.525 682.084
Sep-00 6.533 687.678
Oct-00 6.541 693.129
Nov-00 6.549 698.437
Dec-00 6.556 703.605
Months K+Abt Trend Values
Jan-01 6.563 708.637
Feb-01 6.570 713.533
Mar-01 6.577 718.297
Apr-01 6.583 722.931
May-01 6.590 727.438
Jun-01 6.596 731.821
Jul-01 6.601 736.081
Aug-01 6.607 740.222
Sep-01 6.612 744.245
Oct-01 6.618 748.154
Nov-01 6.623 751.952
Dec-01 6.628 755.640
Months K+Abt Trend Values
Jan-02 6.632 759.222
Feb-02 6.637 762.699
Mar-02 6.641 766.075
Apr-02 6.646 769.351
May-02 6.650 772.531
Jun-02 6.654 775.616
Jul-02 6.658 778.610
Aug-02 6.661 781.513
Sep-02 6.665 784.330
Oct-02 6.668 787.062
Nov-02 6.672 789.711
Dec-02 6.675 792.279
Months K+Abt Trend Values
Jan-03 6.678 794.769
Feb-03 6.681 797.183
Mar-03 6.684 799.523
Apr-03 6.687 801.790
May-03 6.690 803.988
Jun-03 6.692 806.117
Jul-03 6.695 808.181
Aug-03 6.697 810.180
Sep-03 6.700 812.116
Oct-03 6.702 813.992
Nov-03 6.704 815.809
Dec-03 6.706 817.569
Months K+Abt Trend Values
Jan-04 6.708 819.273
Feb-04 6.710 820.924
Mar-04 6.712 822.522
Apr-04 6.714 824.069
May-04 6.716 825.567
Jun-04 6.718 827.018
Jul-04 6.720 828.422
Aug-04 6.721 829.781
Sep-04 6.723 831.097
Oct-04 6.724 832.370
Nov-04 6.726 833.603
Dec-04 6.727 834.796
Months K+Abt Trend Values
Jan-05 6.729 835.950
Feb-05 6.730 837.068
Mar-05 6.731 838.149
Apr-05 6.732 839.195
May-05 6.734 840.207
Jun-05 6.735 841.186
Jul-05 6.736 842.134
Aug-05 6.737 843.051
Sep-05 6.738 843.937
Oct-05 6.739 844.795
Nov-05 6.740 845.625
Dec-05 6.741 846.428
Months K+Abt Trend Values
Jan-06 6.742 847.205
Feb-06 6.743 847.956
Mar-06 6.744 848.683
Apr-06 6.745 849.385
May-06 6.745 850.065
Jun-06 6.746 850.723
Jul-06 6.747 851.358
Aug-06 6.748 851.973
Sep-06 6.748 852.568
Oct-06 6.749 853.143
Nov-06 6.750 853.699
Dec-06 6.750 854.237
Months K+Abt Trend Values
Jan-07 6.751 854.757
Feb-07 6.751 855.260
Mar-07 6.752 855.746
Apr-07 6.753 856.216
May-07 6.753 856.671
Jun-07 6.754 857.111
Jul-07 6.754 857.536
Aug-07 6.755 857.947
Sep-07 6.755 858.344
Oct-07 6.755 858.728
Nov-07 6.756 859.100
Dec-07 6.756 859.459
Months K+Abt Trend Values
Jan-08 6.757 859.806
Feb-08 6.757 860.142
Mar-08 6.757 860.466
Apr-08 6.758 860.780
May-08 6.758 861.083
Jun-08 6.759 861.376
Jul-08 6.759 861.660
Aug-08 6.759 861.934
Sep-08 6.759 862.199
Oct-08 6.760 862.455
Nov-08 6.760 862.703
Dec-08 6.760 862.942
Months K+Abt Trend Values
Jan-09 6.761 863.173
Feb-09 6.761 863.397
Mar-09 6.761 863.613
Apr-09 6.761 863.822
May-09 6.762 864.024
Jun-09 6.762 864.219
Jul-09 6.762 864.408
Aug-09 6.762 864.590
Sep-09 6.762 864.767
Oct-09 6.763 864.937
Nov-09 6.763 865.102
Dec-09 6.763 865.261
Months K+Abt Trend Values
Jan-10 6.763 865.415
Feb-10 6.763 865.564
Mar-10 6.764 865.707
Apr-10 6.764 865.846
May-10 6.764 865.981
Jun-10 6.764 866.111
Jul-10 6.764 866.236
Aug-10 6.764 866.358
Sep-10 6.764 866.475
Oct-10 6.765 866.588
Nov-10 6.765 866.698
Dec-10 6.765 866.804
Months K+Abt Trend Values
Jan-11 6.765 866.906
Feb-11 6.765 867.005
Mar-11 6.765 867.100
Apr-11 6.765 867.193
May-11 6.765 867.282
Jun-11 6.765 867.368
Jul-11 6.766 867.452
Aug-11 6.766 867.532
Sep-11 6.766 867.610
Oct-11 6.766 867.686
Nov-11 6.766 867.758
Dec-11 6.766 867.829
Months K+Abt Trend Values
Jan-12 6.766 867.897
Feb-12 6.766 867.962
Mar-12 6.766 868.026
Apr-12 6.766 868.087
May-12 6.766 868.147
Jun-12 6.766 868.204
Jul-12 6.766 868.259
Aug-12 6.767 868.313
Sep-12 6.767 868.365
Oct-12 6.767 868.415
Nov-12 6.767 868.463
Dec-12 6.767 868.510
Months K+Abt Trend Values
Jan-13 6.767 868.555
Feb-13 6.767 868.598
Mar-13 6.767 868.641
Apr-13 6.767 868.681
May-13 6.767 868.721
Jun-13 6.767 868.759
Jul-13 6.767 868.796
Aug-13 6.767 868.831
Sep-13 6.767 868.866
Oct-13 6.767 868.899
Nov-13 6.767 868.931
Dec-13 6.767 868.962
Months K+Abt Trend Values
Jan-14 6.767 868.992
Feb-14 6.767 869.021
Mar-14 6.767 869.049
Apr-14 6.767 869.076
May-14 6.767 869.102
Jun-14 6.767 869.127
Jul-14 6.768 869.152
Aug-14 6.768 869.175
Sep-14 6.768 869.198
Oct-14 6.768 869.220
Nov-14 6.768 869.242
Dec-14 6.768 869.262
Months K+Abt Trend Values
Jan-15 6.768 869.282
Feb-15 6.768 869.301
Mar-15 6.768 869.320
Apr-15 6.768 869.338
May-15 6.768 869.355
Jun-15 6.768 869.372
Jul-15 6.768 869.388
Aug-15 6.768 869.404
Sep-15 6.768 869.419
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Prices of Oranges
Trendline
• Seasonal variation is measured in terms of an index, called
a seasonal index. Its an average that can be used to
compare actual observation relative to what it would be if
there were no seasonal variations .
• An index value is attached to each period of time series
within a year.
• The following methods are used
 Method of simple averages
 Ratio to trend method
 Ratio to moving average method
 Link relative method
• This is the simplest method of measuring
seasonal component
• This method assumes that the data does not
contain trend or cyclic component.
• This method is an improvement over the
simple averages method and is based on the
assumption that seasonal variation for any
given month is constant factor of the trend.
• Moving averages completely eliminates the
seasonal movements if the extent of the
moving averages is equal to the oscillatory
movements sought to be eliminated.
• Some of the seasonal indices cannot be
determined.
• This method is based on averaging the link
relatives.
• Link relative is the value of one season
expressed as a percentage of the value of the
preceding season.
Link relative method
Months/Years 1995 1996 1997 1998 1999 2000 2001 2002 2003 2004 2005
Jan 94.20166 97.86116 102.4622 108.7128 102.8991 112.915 104.216 128.2055 123.213 93.29427
Feb 104.0572 95.79133 109.1447 96.78942 92.74577 116.691 102.4588 92.31079 115.7016 115.972
Mar 109.1882 103.1692 103.4609 108.8299 92.4565 136.26 129.8513 125.3633 112.4746 149.3965
Apr 111.4674 107.5235 108.686 101.7059 112.805 113.5019 98.10784 110.5566 91.89062 105.9429
May 98.35473 104.2 101.1085 99.35367 121.7873 116.6137 109.7296 97.85714 101.6102 93.25174
Jun 107.491 93.53597 101.9699 109.0467 103.7638 113.1029 99.99371 105.0277 105.5079 85.30684
Jul 94.34755 117.2257 118.6499 95.01073 94.20619 115.9386 102.8325 104.1991 107.9668 80.10035
Aug 99.96208 110.8652 93.34537 106.972 97.64548 81.47756 97.57143 105.8094 94.1067 101.1634
Sep 100.2219 95.73411 98.47277 95.83435 92.96238 73.61136 98.28733 98.71281 96.33493 98.8949
Oct 101.611 89.6446 90.19246 86.76311 109.7785 104.1485 73.35076 98.02132 106.7894 102.2079 108.8261
Nov 103.3009 100.2723 84.09427 98.90069 65.70976 95.88511 110.0017 77.61933 79.05041 77.65306 107.8993
Dec 78.55345 91.34508 85.04988 89.65066 99.61806 84.84665 91.36481 89.50503 88.1948 95.91663 96.57658
Months/Years 2006 2007 2008 2009 2010 2011 2012 2013 2014 2015
Jan 100.0389 100.5411 111.2089 102.7792 107.4666 101.4809 96.41693 98.9368 101.7798 98.5427
Feb 96.67079 105.6117 101.8822 97.90137 90.11531 120.4666 106.5783 109.273 102.3608 92.89597
Mar 98.46615 96.37927 117.3246 110.5146 97.2626 96.32526 103.0733 110.8007 104.8227 89.93425
Apr 98.94543 105.4848 100.2397 106.7847 104.1908 103.3469 102.5319 107.9716 104.7989 96.65872
May 99.98251 103.6222 106.8062 98.20015 106.0298 94.94194 91.85067 107.8043 98.59368 99.42986
Jun 83.21024 105.4689 107.3416 91.88057 113.8958 109.5635 126.0548 109.5212 99.9497 103.493
Jul 110.2968 122.146 101.2203 87.65378 108.4194 106.0192 106.5494 96.85397 93.82669 101.6209
Aug 113.1318 107.7594 79.05692 116.9048 87.4786 97.66046 95.58986 106.2057 98.10099 106.9004
Sep 105.752 83.8433 81.63361 123.2766 91.88295 125.9383 103.1431 94.03011 100.3723 92.3467
Oct 117.9108 94.40914 98.46965 111.8008 103.7704 86.42275 97.99778 89.06334 94.95739
Nov 89.87645 107.3052 93.79115 100.1562 75.79258 66.00658 86.33736 76.81046 98.04958
Dec 85.14477 88.54069 89.26337 87.80069 87.92008 111.1612 89.51986 96.60313 107.1545
Months Avg Link Relative Chain Relative D Values
Corrected
CR Seasonal Indices
Jan 104.3586238 100 100 87.50457237
Feb 103.2709321 103.2709321 0.60077309 102.0693859 89.31537968
Mar 109.7676881 113.3581147 1.20154618 111.5557954 97.6164217
Apr 104.6570399 118.6372473 1.80231927 116.2341549 101.7102002
May 102.5563952 121.6700842 2.40309236 118.6662187 103.8383672
Jun 103.7562891 126.2403643 3.00386545 122.6357257 107.3118674
Jul 103.2541937 130.3484703 3.60463854 126.1430587 110.380944
Aug 99.8853719 130.1990543 4.20541163 125.3928696 109.7244943
Sep 97.56428889 127.0277815 4.80618472 121.6208237 106.4237817
Oct 98.30678381 124.8769265 5.40695781 118.8691956 104.0159813
Nov 89.7256169 112.0465927 6.0077309 105.4380887 92.26314862
Dec 91.68649486 102.7315934 6.60850399 102.7315934 89.89484152
Average 114.2797425
NEW CHAIN RELATIVE FOR
FIRST MONTH 107.2092771
Residual after trend is eliminated
t Months Yt Trend Values Seasonal Indices Residual= (Yt/Tt)*100 Residual
1 Sep-95 537.55 140.1202958 106.4237817 383.6346455 3.83634646
2 Oct-95 546.21 148.9834567 104.0159813 366.6245985 3.66624599
3 Nov-95 564.24 158.0812077 92.26314862 356.9304714 3.56930471
4 Dec-95 443.23 167.4008658 89.89484152 264.7716293 2.64771629
t Months Yt Trend Values Seasonal Indices Residual= (Yt/Tt)*100 Residual
5 Jan-96 417.53 176.9291779 87.50457237 235.9870796 2.3598708
6 Feb-96 434.47 186.6524081 89.31537968 232.7695659 2.32769566
7 Mar-96 474.39 196.5564243 97.6164217 241.3505443 2.41350544
8 Apr-96 528.79 206.6267836 101.7102002 255.9155163 2.55915516
9 May-96 520.09 216.8488146 103.8383672 239.8399092 2.39839909
10 Jun-96 559.05 227.2076975 107.3118674 246.0524032 2.46052403
11 Jul-96 527.45 237.6885408 110.380944 221.9080475 2.21908048
12 Aug-96 527.25 248.2764534 109.7244943 212.3640776 2.12364078
13 Sep-96 528.42 258.9566136 106.4237817 204.0573487 2.04057349
14 Oct-96 473.7 269.7143327 104.0159813 175.630266 1.75630266
15 Nov-96 474.99 280.5351144 92.26314862 169.3157026 1.69315703
16 Dec-96 433.88 291.4047095 89.89484152 148.8925834 1.48892583
t Months Yt Trend Values Seasonal Indices Residual= (Yt/Tt)*100 Residual
17 Jan-97 424.6 302.3091651 87.50457237 140.452242 1.40452242
18 Feb-97 406.73 313.2348696 89.31537968 129.8482511 1.29848251
19 Mar-97 419.62 324.1685924 97.6164217 129.4449894 1.29444989
20 Apr-97 451.19 335.0975192 101.7102002 134.6443868 1.34644387
21 May-97 470.14 346.009282 103.8383672 135.8749677 1.35874968
22 Jun-97 439.75 356.8919852 107.3118674 123.2165524 1.23216552
23 Jul-97 515.5 367.7342273 110.380944 140.1827629 1.40182763
24 Aug-97 571.51 378.525118 109.7244943 150.9833754 1.50983375
25 Sep-97 547.13 389.2542916 106.4237817 140.5585017 1.40558502
26 Oct-97 493.47 399.9119175 104.0159813 123.3946723 1.23394672
27 Nov-97 414.98 410.4887057 92.26314862 101.0941335 1.01094134
28 Dec-97 352.94 420.9759105 89.89484152 83.83852643 0.83838526
t Months Yt Trend Values Seasonal Indices Residual= (Yt/Tt)*100 Residual
29 Jan-98 361.63 431.3653306 87.50457237 83.83381193 0.83833812
30 Feb-98 394.7 441.6493067 89.31537968 89.36955045 0.8936955
31 Mar-98 408.36 451.8207166 97.6164217 90.38098188 0.90380982
32 Apr-98 443.83 461.8729679 101.7102002 96.09352156 0.96093522
33 May-98 448.75 471.7999893 103.8383672 95.11445743 0.95114457
34 Jun-98 457.59 481.5962196 107.3118674 95.01528071 0.95015281
35 Jul-98 542.93 491.2565955 110.380944 110.518618 1.10518618
36 Aug-98 506.8 500.7765377 109.7244943 101.2028244 1.01202824
37 Sep-98 499.06 510.1519365 106.4237817 97.82575823 0.97825758
38 Oct-98 433 519.379136 104.0159813 83.36877052 0.83368771
39 Nov-98 428.24 528.4549176 92.26314862 81.03624089 0.81036241
40 Dec-98 383.92 537.3764829 89.89484152 71.44339438 0.71443394
t Months Yt Trend Values Seasonal Indices Residual= (Yt/Tt)*100 Residual
41 Jan-99 417.37 546.1414366 87.50457237 76.42159558 0.76421596
42 Feb-99 403.97 554.7477682 89.31537968 72.82048223 0.72820482
43 Mar-99 439.64 563.1938342 97.6164217 78.06193415 0.78061934
44 Apr-99 447.14 571.4783401 101.7102002 78.24268544 0.78242685
45 May-99 444.25 579.6003222 103.8383672 76.64764546 0.76647646
46 Jun-99 484.44 587.5591296 107.3118674 82.44957411 0.82449574
47 Jul-99 460.27 595.3544067 110.380944 77.31025332 0.77310253
48 Aug-99 492.36 602.9860755 109.7244943 81.65362685 0.81653627
49 Sep-99 471.85 610.4543182 106.4237817 77.29489103 0.77294891
50 Oct-99 517.99 617.7595608 104.0159813 83.84977471 0.83849775
51 Nov-99 340.37 624.9024566 92.26314862 54.46770074 0.54467701
52 Dec-99 339.07 631.8838701 89.89484152 53.66017651 0.53660177
t Months Yt Trend Values Seasonal Indices Residual= (Yt/Tt)*100 Residual
53 Jan-00 348.9 638.7048617 87.50457237 54.62616945 0.54626169
54 Feb-00 323.59 645.3666728 89.31537968 50.14048813 0.50140488
55 Mar-00 299.18 651.8707115 97.6164217 45.89560394 0.45895604
56 Apr-00 337.49 658.2185387 101.7102002 51.27324439 0.51273244
57 May-00 411.02 664.4118547 103.8383672 61.86223155 0.61862232
58 Jun-00 426.49 670.4524869 107.3118674 63.61226311 0.63612263
59 Jul-00 401.78 676.3423773 110.380944 59.40482417 0.59404824
60 Aug-00 392.32 682.0835712 109.7244943 57.51787853 0.57517879
61 Sep-00 364.71 687.6782064 106.4237817 53.03498011 0.5303498
62 Oct-00 379.84 693.1285024 104.0159813 54.80080515 0.54800805
63 Nov-00 364.21 698.4367507 92.26314862 52.14645416 0.52146454
64 Dec-00 309.02 703.6053056 89.89484152 43.91950964 0.4391951
t Months Yt Trend Values Seasonal Indices Residual= (Yt/Tt)*100 Residual
65 Jan-01 348.93 708.6365756 87.50457237 49.23962607 0.49239626
66 Feb-01 407.17 713.5330147 89.31537968 57.0639328 0.57063933
67 Mar-01 554.81 718.2971148 97.6164217 77.2396253 0.77239625
68 Apr-01 629.72 722.9313988 101.7102002 87.10646696 0.87106467
69 May-01 734.34 727.4384133 103.8383672 100.948752 1.00948752
70 Jun-01 830.56 731.8207226 107.3118674 113.4922768 1.13492277
71 Jul-01 962.94 736.0809025 110.380944 130.8198592 1.30819859
72 Aug-01 784.58 740.2215354 109.7244943 105.9925931 1.05992593
73 Sep-01 577.54 744.2452043 106.4237817 77.60076876 0.77600769
74 Oct-01 423.63 748.154489 104.0159813 56.62333198 0.56623332
75 Nov-01 466 751.9519611 92.26314862 61.97204398 0.61972044
76 Dec-01 425.76 755.6401805 89.89484152 56.34427747 0.56344278
t Months Yt Trend Values Seasonal Indices Residual= (Yt/Tt)*100 Residual
77 Jan-02 443.71 759.2216915 87.50457237 58.44274538 0.58442745
78 Feb-02 454.62 762.6990193 89.31537968 59.60673719 0.59606737
79 Mar-02 590.33 766.0746674 97.6164217 77.05906815 0.77059068
80 Apr-02 579.16 769.3511144 101.7102002 75.27902269 0.75279023
81 May-02 635.51 772.5308118 103.8383672 82.26338552 0.82263386
82 Jun-02 635.47 775.6161815 107.3118674 81.93098792 0.81930988
83 Jul-02 653.47 778.6096141 110.380944 83.92781032 0.8392781
84 Aug-02 637.6 781.5134667 109.7244943 81.58528639 0.81585286
85 Sep-02 626.68 784.3300617 106.4237817 79.90003579 0.79900036
86 Oct-02 614.28 787.0616853 104.0159813 78.04724985 0.7804725
87 Nov-02 476.8 789.7105861 92.26314862 60.37654913 0.60376549
88 Dec-02 426.76 792.2789743 89.89484152 53.86486501 0.53864865
t Months Yt Trend Values Seasonal Indices Residual= (Yt/Tt)*100 Residual
89 Jan-03 547.13 794.7690208 87.50457237 68.84138482 0.68841385
90 Feb-03 505.06 797.1828562 89.31537968 63.3556023 0.63355602
91 Mar-03 633.16 799.5225706 97.6164217 79.19226089 0.79192261
92 Apr-03 700 801.7902129 101.7102002 87.30463265 0.87304633
93 May-03 685 803.9877904 103.8383672 85.20029883 0.85200299
94 Jun-03 719.44 806.1172688 107.3118674 89.24756085 0.89247561
95 Jul-03 749.65 808.1805719 110.380944 92.75773585 0.92757736
96 Aug-03 793.2 810.1795813 109.7244943 97.90422004 0.9790422
97 Sep-03 782.99 812.1161371 106.4237817 96.41355025 0.9641355
98 Oct-03 836.15 813.9920374 104.0159813 102.7221351 1.02722135
99 Nov-03 660.98 815.8090387 92.26314862 81.02141171 0.81021412
100 Dec-03 582.95 817.5688562 89.89484152 71.30286282 0.71302863
t Months Yt Trend Values Seasonal Indices Residual= (Yt/Tt)*100 Residual
101 Jan-04 718.27 819.273164 87.50457237 87.67161327 0.87671613
102 Feb-04 831.05 820.9235957 89.31537968 101.233538 1.01233538
103 Mar-04 934.72 822.5217443 97.6164217 113.6407647 1.13640765
104 Apr-04 858.92 824.0691634 101.7102002 104.2291155 1.04229116
105 May-04 872.75 825.5673668 103.8383672 105.7151766 1.05715177
106 Jun-04 920.82 827.01783 107.3118674 111.3422186 1.11342219
107 Jul-04 994.18 828.4219899 110.380944 120.0088858 1.20008886
108 Aug-04 935.59 829.7812459 109.7244943 112.7514034 1.12751403
109 Sep-04 901.3 831.0969601 106.4237817 108.4470336 1.08447034
110 Oct-04 921.2 832.3704586 104.0159813 110.6718758 1.10671876
111 Nov-04 715.34 833.6030312 92.26314862 85.8130277 0.85813028
112 Dec-04 686.13 834.7959328 89.89484152 82.19134438 0.82191344
t Months Yt Trend Values Seasonal Indices Residual= (Yt/Tt)*100 Residual
113 Jan-05 640.12 835.950384 87.50457237 76.5739226 0.76573923
114 Feb-05 742.36 837.0675712 89.31537968 88.68579139 0.88685791
115 Mar-05 1109.06 838.148648 97.6164217 132.3225901 1.3232259
116 Apr-05 1174.97 839.1947354 101.7102002 140.0116028 1.40011603
117 May-05 1095.68 840.2069226 103.8383672 130.4059715 1.30405972
118 Jun-05 934.69 841.186268 107.3118674 111.1156988 1.11115699
119 Jul-05 748.69 842.1337994 110.380944 88.90392483 0.88903925
120 Aug-05 757.4 843.050515 109.7244943 89.84040535 0.89840405
121 Sep-05 749.03 843.9373841 106.4237817 88.75421496 0.88754215
122 Oct-05 815.14 844.7953475 104.0159813 96.48964124 0.96489641
123 Nov-05 879.53 845.6253186 92.26314862 104.0094213 1.04009421
124 Dec-05 849.42 846.4281836 89.89484152 100.3534637 1.00353464
t Months Yt Trend Values Seasonal Indices Residual= (Yt/Tt)*100 Residual
125 Jan-06 849.75 847.2048027 87.50457237 100.3004229 1.00300423
126 Feb-06 821.46 847.9560103 89.31537968 96.87530839 0.96875308
127 Mar-06 808.86 848.6826159 97.6164217 95.30771396 0.95307714
128 Apr-06 800.33 849.3854047 101.7102002 94.2246 0.942246
129 May-06 800.19 850.0651379 103.8383672 94.13278633 0.94132786
130 Jun-06 665.84 850.7225542 107.3118674 78.26758521 0.78267585
131 Jul-06 734.4 851.3583693 110.380944 86.26214606 0.86262146
132 Aug-06 830.84 851.9732773 109.7244943 97.5194906 0.97519491
133 Sep-06 878.63 852.567951 106.4237817 103.0568882 1.03056888
134 Oct-06 1036 853.1430426 104.0159813 121.4333293 1.21433329
135 Nov-06 931.12 853.699184 92.26314862 109.0688638 1.09068864
136 Dec-06 792.8 854.2369877 89.89484152 92.80796915 0.92807969
t Months Yt Trend Values Seasonal Indices Residual= (Yt/Tt)*100 Residual
137 Jan-07 797.09 854.7570472 87.50457237 93.25339904 0.93253399
138 Feb-07 841.82 855.2599374 89.31537968 98.42855525 0.98428555
139 Mar-07 811.34 855.7462155 97.6164217 94.81081953 0.9481082
140 Apr-07 855.84 856.2164209 101.7102002 99.95603671 0.99956037
141 May-07 886.84 856.6710765 103.8383672 103.5216461 1.03521646
142 Jun-07 935.34 857.1106885 107.3118674 109.1270955 1.09127096
143 Jul-07 1142.48 857.5357472 110.380944 133.2282653 1.33228265
144 Aug-07 1231.13 857.9467274 109.7244943 143.4972546 1.43497255
145 Sep-07 1032.22 858.344089 106.4237817 120.2571339 1.20257134
146 Oct-07 974.51 858.728277 104.0159813 113.4829289 1.13482929
147 Nov-07 1045.7 859.0997226 92.26314862 121.7204444 1.21720444
148 Dec-07 925.87 859.4588431 89.89484152 107.7270898 1.0772709
t Months Yt Trend Values Seasonal Indices Residual= (Yt/Tt)*100 Residual
149 Jan-08 1029.65 859.8060425 87.50457237 119.7537525 1.19753753
150 Feb-08 1049.03 860.1417119 89.31537968 121.9601358 1.21960136
151 Mar-08 1230.77 860.4662298 97.6164217 143.0352473 1.43035247
152 Apr-08 1233.72 860.7799627 101.7102002 143.325827 1.43325827
153 May-08 1317.69 861.0832653 103.8383672 153.027013 1.53027013
154 Jun-08 1414.43 861.3764807 107.3118674 164.2057836 1.64205784
155 Jul-08 1431.69 861.6599411 110.380944 166.1548752 1.66154875
156 Aug-08 1131.85 861.9339681 109.7244943 131.3151636 1.31315164
157 Sep-08 923.97 862.1988726 106.4237817 107.1643712 1.07164371
158 Oct-08 909.83 862.4549557 104.0159813 105.4930456 1.05493046
159 Nov-08 853.34 862.7025085 92.26314862 98.91474657 0.98914747
160 Dec-08 761.72 862.941813 89.89484152 88.2701462 0.88270146
t Months Yt Trend Values Seasonal Indices Residual= (Yt/Tt)*100 Residual
161 Jan-09 782.89 863.1731418 87.50457237 90.6990686 0.90699069
162 Feb-09 766.46 863.3967585 89.31537968 88.77262886 0.88772629
163 Mar-09 847.05 863.6129185 97.6164217 98.08213633 0.98082136
164 Apr-09 904.52 863.8218685 101.7102002 104.7114032 1.04711403
165 May-09 888.24 864.0238474 103.8383672 102.8027181 1.02802718
166 Jun-09 816.12 864.2190862 107.3118674 94.43438741 0.94434387
167 Jul-09 715.36 864.4078084 110.380944 82.75723484 0.82757235
168 Aug-09 836.29 864.5902301 109.7244943 96.72674648 0.96726747
169 Sep-09 1030.95 864.7665604 106.4237817 119.2171445 1.19217145
170 Oct-09 1152.61 864.9370015 104.0159813 133.2594164 1.33259416
171 Nov-09 1154.41 865.101749 92.26314862 133.4421068 1.33442107
172 Dec-09 1013.58 865.260992 89.89484152 117.1415341 1.17141534
t Months Yt Trend Values Seasonal Indices Residual= (Yt/Tt)*100 Residual
173 Jan-10 1089.26 865.4149135 87.50457237 125.8656377 1.25865638
174 Feb-10 981.59 865.5636904 89.31537968 113.4047108 1.13404711
175 Mar-10 954.72 865.7074938 97.6164217 110.2820533 1.10282053
176 Apr-10 994.73 865.8464893 101.7102002 114.8852611 1.14885261
177 May-10 1054.71 865.9808367 103.8383672 121.7936882 1.21793688
178 Jun-10 1201.27 866.1106909 107.3118674 138.6970525 1.38697053
179 Jul-10 1302.41 866.2362014 110.380944 150.3527557 1.50352756
180 Aug-10 1139.33 866.357513 109.7244943 131.5080648 1.31508065
181 Sep-10 1046.85 866.4747657 106.4237817 120.8171365 1.20817137
182 Oct-10 1086.32 866.5880945 104.0159813 125.3559802 1.2535598
183 Nov-10 823.35 866.6976305 92.26314862 94.99852901 0.94998529
184 Dec-10 723.89 866.8035001 89.89484152 83.51258387 0.83512584
t Months Yt Trend Values Seasonal Indices Residual= (Yt/Tt)*100 Residual
185 Jan-11 734.61 866.9058255 87.50457237 84.73930829 0.84739308
186 Feb-11 884.96 867.004725 89.31537968 102.0709547 1.02070955
187 Mar-11 852.44 867.100313 97.6164217 98.3092714 0.98309271
188 Apr-11 880.97 867.1926999 101.7102002 101.5887242 1.01588724
189 May-11 836.41 867.2819927 103.8383672 96.4403743 0.96440374
190 Jun-11 916.4 867.3682947 107.3118674 105.652928 1.05652928
191 Jul-11 971.56 867.4517057 110.380944 112.0016242 1.12001624
192 Aug-11 948.83 867.5323224 109.7244943 109.3711411 1.09371141
193 Sep-11 1194.94 867.6102381 106.4237817 137.7277431 1.37727743
194 Oct-11 1032.7 867.685543 104.0159813 119.0177719 1.19017772
195 Nov-11 681.65 867.7583245 92.26314862 78.55297734 0.78552977
196 Dec-11 757.73 867.8286669 89.89484152 87.31331758 0.87313318
t Months Yt Trend Values Seasonal Indices Residual= (Yt/Tt)*100 Residual
197 Jan-12 730.58 867.8966517 87.50457237 84.17822544 0.84178225
198 Feb-12 778.64 867.9623578 89.31537968 89.7089595 0.8970896
199 Mar-12 802.57 868.0258614 97.6164217 92.45922682 0.92459227
200 Apr-12 822.89 868.0872361 101.7102002 94.79346841 0.94793468
201 May-12 755.83 868.1465533 103.8383672 87.06248929 0.87062489
202 Jun-12 952.76 868.2038817 107.3118674 109.7392007 1.09739201
203 Jul-12 1015.16 868.2592879 110.380944 116.9189912 1.16918991
204 Aug-12 970.39 868.3128362 109.7244943 111.755805 1.11755805
205 Sep-12 1000.89 868.3645889 106.4237817 115.2614942 1.15261494
206 Oct-12 980.85 868.4146059 104.0159813 112.9472021 1.12947202
207 Nov-12 846.84 868.4629456 92.26314862 97.51020517 0.97510205
208 Dec-12 758.09 868.5096639 89.89484152 87.28630567 0.87286306
t Months Yt Trend Values Seasonal Indices Residual= (Yt/Tt)*100 Residual
209 Jan-13 750.03 868.5548152 87.50457237 86.35378987 0.8635379
210 Feb-13 819.58 868.598452 89.31537968 94.3566038 0.94356604
211 Mar-13 908.1 868.6406251 97.6164217 104.5426582 1.04542658
212 Apr-13 980.49 868.6813833 101.7102002 112.8710732 1.12871073
213 May-13 1057.01 868.7207743 103.8383672 121.6743091 1.21674309
214 Jun-13 1157.65 868.7588436 107.3118674 133.2533198 1.3325332
215 Jul-13 1121.23 868.7956358 110.380944 129.0556667 1.29055667
216 Aug-13 1190.81 868.8311934 109.7244943 137.0588451 1.37058845
217 Sep-13 1119.72 868.865558 106.4237817 128.8714911 1.28871491
218 Oct-13 997.26 868.8987695 104.0159813 114.7728637 1.14772864
219 Nov-13 766 868.9308665 92.26314862 88.15430888 0.88154309
220 Dec-13 739.98 868.9618865 89.89484152 85.15678438 0.85156784
t Months Yt Trend Values Seasonal Indices Residual= (Yt/Tt)*100 Residual
221 Jan-14 753.15 868.9918654 87.50457237 86.66939588 0.86669396
222 Feb-14 770.93 869.0208383 89.31537968 88.71248721 0.88712487
223 Mar-14 808.11 869.0488388 97.6164217 92.98786948 0.9298787
224 Apr-14 846.89 869.0758996 101.7102002 97.44718504 0.97447185
225 May-14 834.98 869.1020521 103.8383672 96.07387279 0.96073873
226 Jun-14 834.56 869.1273269 107.3118674 96.02275457 0.96022755
227 Jul-14 783.04 869.1517533 110.380944 90.09243749 0.90092438
228 Aug-14 768.17 869.1753598 109.7244943 88.37917359 0.88379174
229 Sep-14 771.03 869.1981739 106.4237817 88.70589276 0.88705893
230 Oct-14 732.15 869.2202222 104.0159813 84.23066805 0.84230668
231 Nov-14 717.87 869.2415304 92.26314862 82.58579174 0.82585792
232 Dec-14 769.23 869.2621233 89.89484152 88.49229471 0.88492295
t Months Yt Trend Values Seasonal Indices Residual= (Yt/Tt)*100 Residual
233 Jan-15 758.02 869.2820249 87.50457237 87.20069877 0.87200699
234 Feb-15 704.17 869.3012584 89.31537968 81.00413904 0.81004139
235 Mar-15 633.29 869.3198462 97.6164217 72.84890628 0.72848906
236 Apr-15 612.13 869.3378099 101.7102002 70.4133644 0.70413364
237 May-15 608.64 869.3551706 103.8383672 70.01051131 0.70010511
238 Jun-15 629.9 869.3719484 107.3118674 72.45460372 0.72454604
239 Jul-15 640.11 869.3881629 110.380944 73.62764152 0.73627642
240 Aug-15 684.28 869.403833 109.7244943 78.70680736 0.78706807
241 Sep-15 631.91 869.4189769 106.4237817 72.68187339 0.72681873
0
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31
36
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46
51
56
61
66
71
76
81
86
91
96
101
106
111
116
121
126
131
136
141
146
151
156
161
166
171
176
181
186
191
196
201
206
211
216
221
226
231
236
241
Residuals
Residuals
t Months yt Trend Values Seasonal Indices yt/st*100 Residuals
1 Sep-95 537.55 140.1202958 106.4237817 505.1032689 5.051032689
2 Oct-95 546.21 148.9834567 104.0159813 525.1212296 5.251212296
3 Nov-95 564.24 158.0812077 92.26314862 611.55511 6.1155511
4 Dec-95 443.23 167.4008658 89.89484152 493.0538755 4.930538755
t Months yt Trend Values Seasonal Indices yt/st*100 Residuals
5 Jan-96 417.53 176.9291779 87.50457237 477.152209 4.77152209
6 Feb-96 434.47 186.6524081 89.31537968 486.4447775 4.864447775
7 Mar-96 474.39 196.5564243 97.6164217 485.9735603 4.859735603
8 Apr-96 528.79 206.6267836 101.7102002 519.8986915 5.198986915
9 May-96 520.09 216.8488146 103.8383672 500.8649633 5.008649633
10 Jun-96 559.05 227.2076975 107.3118674 520.9582256 5.209582256
11 Jul-96 527.45 237.6885408 110.380944 477.8451612 4.778451612
12 Aug-96 527.25 248.2764534 109.7244943 480.5216951 4.805216951
13 Sep-96 528.42 258.9566136 106.4237817 496.5243593 4.965243593
14 Oct-96 473.7 269.7143327 104.0159813 455.4107879 4.554107879
15 Nov-96 474.99 280.5351144 92.26314862 514.8209303 5.148209303
16 Dec-96 433.88 291.4047095 89.89484152 482.6528337 4.826528337
t Months yt Trend Values Seasonal Indices yt/st*100 Residuals
17 Jan-97 424.6 302.3091651 87.50457237 485.2317868 4.852317868
18 Feb-97 406.73 313.2348696 89.31537968 455.3862968 4.553862968
19 Mar-97 419.62 324.1685924 97.6164217 429.8661974 4.298661974
20 Apr-97 451.19 335.0975192 101.7102002 443.6034921 4.436034921
21 May-97 470.14 346.009282 103.8383672 452.7613564 4.527613564
22 Jun-97 439.75 356.8919852 107.3118674 409.7869237 4.097869237
23 Jul-97 515.5 367.7342273 110.380944 467.0190172 4.670190172
24 Aug-97 571.51 378.525118 109.7244943 520.8590877 5.208590877
25 Sep-97 547.13 389.2542916 106.4237817 514.1050163 5.141050163
26 Oct-97 493.47 399.9119175 104.0159813 474.4174826 4.744174826
27 Nov-97 414.98 410.4887057 92.26314862 449.7787104 4.497787104
28 Dec-97 352.94 420.9759105 89.89484152 392.6142969 3.926142969
t Months yt Trend Values Seasonal Indices yt/st*100 Residuals
29 Jan-98 361.63 431.3653306 87.50457237 413.2698329 4.132698329
30 Feb-98 394.7 441.6493067 89.31537968 441.917172 4.41917172
31 Mar-98 408.36 451.8207166 97.6164217 418.331253 4.18331253
32 Apr-98 443.83 461.8729679 101.7102002 436.3672464 4.363672464
33 May-98 448.75 471.7999893 103.8383672 432.1620341 4.321620341
34 Jun-98 457.59 481.5962196 107.3118674 426.4113665 4.264113665
35 Jul-98 542.93 491.2565955 110.380944 491.869321 4.91869321
36 Aug-98 506.8 500.7765377 109.7244943 461.8841064 4.618841064
37 Sep-98 499.06 510.1519365 106.4237817 468.9365405 4.689365405
38 Oct-98 433 519.379136 104.0159813 416.2821853 4.162821853
39 Nov-98 428.24 528.4549176 92.26314862 464.1506456 4.641506456
40 Dec-98 383.92 537.3764829 89.89484152 427.076786 4.27076786
t Months yt Trend Values Seasonal Indices yt/st*100 Residuals
41 Jan-99 417.37 546.1414366 87.50457237 476.9693614 4.769693614
42 Feb-99 403.97 554.7477682 89.31537968 452.2961235 4.522961235
43 Mar-99 439.64 563.1938342 97.6164217 450.3750418 4.503750418
44 Apr-99 447.14 571.4783401 101.7102002 439.6215906 4.396215906
45 May-99 444.25 579.6003222 103.8383672 427.8283758 4.278283758
46 Jun-99 484.44 587.5591296 107.3118674 451.4318984 4.514318984
47 Jul-99 460.27 595.3544067 110.380944 416.9832066 4.169832066
48 Aug-99 492.36 602.9860755 109.7244943 448.7238726 4.487238726
49 Sep-99 471.85 610.4543182 106.4237817 443.3689469 4.433689469
50 Oct-99 517.99 617.7595608 104.0159813 497.9907833 4.979907833
51 Nov-99 340.37 624.9024566 92.26314862 368.9121877 3.689121877
52 Dec-99 339.07 631.8838701 89.89484152 377.185158 3.77185158
t Months yt Trend Values Seasonal Indices yt/st*100 Residuals
53 Jan-00 348.9 638.7048617 87.50457237 398.7220217 3.987220217
54 Feb-00 323.59 645.3666728 89.31537968 362.3004248 3.623004248
55 Mar-00 299.18 651.8707115 97.6164217 306.4853175 3.064853175
56 Apr-00 337.49 658.2185387 101.7102002 331.8152941 3.318152941
57 May-00 411.02 664.4118547 103.8383672 395.826717 3.95826717
58 Jun-00 426.49 670.4524869 107.3118674 397.4304152 3.974304152
59 Jul-00 401.78 676.3423773 110.380944 363.9939878 3.639939878
60 Aug-00 392.32 682.0835712 109.7244943 357.5500643 3.575500643
61 Sep-00 364.71 687.6782064 106.4237817 342.6959598 3.426959598
62 Oct-00 379.84 693.1285024 104.0159813 365.1746542 3.651746542
63 Nov-00 364.21 698.4367507 92.26314862 394.7513232 3.947513232
64 Dec-00 309.02 703.6053056 89.89484152 343.7572109 3.437572109
t Months yt Trend Values Seasonal Indices yt/st*100 Residuals
65 Jan-01 348.93 708.6365756 87.50457237 398.7563056 3.987563056
66 Feb-01 407.17 713.5330147 89.31537968 455.8789331 4.558789331
67 Mar-01 554.81 718.2971148 97.6164217 568.3572398 5.683572398
68 Apr-01 629.72 722.9313988 101.7102002 619.1316099 6.191316099
69 May-01 734.34 727.4384133 103.8383672 707.1952492 7.071952492
70 Jun-01 830.56 731.8207226 107.3118674 773.9684533 7.739684533
71 Jul-01 962.94 736.0809025 110.380944 872.3788407 8.723788407
72 Aug-01 784.58 740.2215354 109.7244943 715.0454463 7.150454463
73 Sep-01 577.54 744.2452043 106.4237817 542.6794566 5.426794566
74 Oct-01 423.63 748.154489 104.0159813 407.2739542 4.072739542
75 Nov-01 466 751.9519611 92.26314862 505.0770616 5.050770616
76 Dec-01 425.76 755.6401805 89.89484152 473.6200574 4.736200574
t Months yt Trend Values Seasonal Indices yt/st*100 Residuals
77 Jan-02 443.71 759.2216915 87.50457237 507.0706456 5.070706456
78 Feb-02 454.62 762.6990193 89.31537968 509.0052818 5.090052818
79 Mar-02 590.33 766.0746674 97.6164217 604.7445601 6.047445601
80 Apr-02 579.16 769.3511144 101.7102002 569.4217481 5.694217481
81 May-02 635.51 772.5308118 103.8383672 612.018483 6.12018483
82 Jun-02 635.47 775.6161815 107.3118674 592.1712255 5.921712255
83 Jul-02 653.47 778.6096141 110.380944 592.0134183 5.920134183
84 Aug-02 637.6 781.5134667 109.7244943 581.0917645 5.810917645
85 Sep-02 626.68 784.3300617 106.4237817 588.8533467 5.888533467
86 Oct-02 614.28 787.0616853 104.0159813 590.5630965 5.905630965
87 Nov-02 476.8 789.7105861 92.26314862 516.7827103 5.167827103
88 Dec-02 426.76 792.2789743 89.89484152 474.7324683 4.747324683
t Months yt Trend Values Seasonal Indices yt/st*100 Residuals
89 Jan-03 547.13 794.7690208 87.50457237 625.2587553 6.252587553
90 Feb-03 505.06 797.1828562 89.31537968 565.4793181 5.654793181
91 Mar-03 633.16 799.5225706 97.6164217 648.6203745 6.486203745
92 Apr-03 700 801.7902129 101.7102002 688.229891 6.88229891
93 May-03 685 803.9877904 103.8383672 659.6790938 6.596790938
94 Jun-03 719.44 806.1172688 107.3118674 670.4197939 6.704197939
95 Jul-03 749.65 808.1805719 110.380944 679.1480237 6.791480237
96 Aug-03 793.2 810.1795813 109.7244943 722.9014861 7.229014861
97 Sep-03 782.99 812.1161371 106.4237817 735.7284132 7.357284132
98 Oct-03 836.15 813.9920374 104.0159813 803.8668574 8.038668574
99 Nov-03 660.98 815.8090387 92.26314862 716.4073738 7.164073738
100 Dec-03 582.95 817.5688562 89.89484152 648.479924 6.48479924
t Months yt Trend Values Seasonal Indices yt/st*100 Residuals
101 Jan-04 718.27 819.273164 87.50457237 820.8371066 8.208371066
102 Feb-04 831.05 820.9235957 89.31537968 930.4668501 9.304668501
103 Mar-04 934.72 822.5217443 97.6164217 957.5438064 9.575438064
104 Apr-04 858.92 824.0691634 101.7102002 844.4777399 8.444777399
105 May-04 872.75 825.5673668 103.8383672 840.4889476 8.404889476
106 Jun-04 920.82 827.01783 107.3118674 858.0784425 8.580784425
107 Jul-04 994.18 828.4219899 110.380944 900.6808273 9.006808273
108 Aug-04 935.59 829.7812459 109.7244943 852.6719635 8.526719635
109 Sep-04 901.3 831.0969601 106.4237817 846.8971747 8.468971747
110 Oct-04 921.2 832.3704586 104.0159813 885.6331388 8.856331388
111 Nov-04 715.34 833.6030312 92.26314862 775.3258053 7.753258053
112 Dec-04 686.13 834.7959328 89.89484152 763.2584789 7.632584789
t Months yt Trend Values Seasonal Indices yt/st*100 Residuals
113 Jan-05 640.12 835.950384 87.50457237 731.5274879 7.315274879
114 Feb-05 742.36 837.0675712 89.31537968 831.1670427 8.311670427
115 Mar-05 1109.06 838.148648 97.6164217 1136.140806 11.36140806
116 Apr-05 1174.97 839.1947354 101.7102002 1155.213536 11.55213536
117 May-05 1095.68 840.2069226 103.8383672 1055.178379 10.55178379
118 Jun-05 934.69 841.186268 107.3118674 871.0033876 8.710033876
119 Jul-05 748.69 842.1337994 110.380944 678.2783084 6.782783084
120 Aug-05 757.4 843.050515 109.7244943 690.2743137 6.902743137
121 Sep-05 749.03 843.9373841 106.4237817 703.8182522 7.038182522
122 Oct-05 815.14 844.7953475 104.0159813 783.6680382 7.836680382
123 Nov-05 879.53 845.6253186 92.26314862 953.2841803 9.532841803
124 Dec-05 849.42 846.4281836 89.89484152 944.9040519 9.449040519
t Months yt Trend Values Seasonal Indices yt/st*100 Residuals
125 Jan-06 849.75 847.2048027 87.50457237 971.0921121 9.710921121
126 Feb-06 821.46 847.9560103 89.31537968 919.7296176 9.197296176
127 Mar-06 808.86 848.6826159 97.6164217 828.610582 8.28610582
128 Apr-06 800.33 849.3854047 101.7102002 786.872898 7.86872898
129 May-06 800.19 850.0651379 103.8383672 770.6111154 7.706111154
130 Jun-06 665.84 850.7225542 107.3118674 620.4719165 6.204719165
131 Jul-06 734.4 851.3583693 110.380944 665.3322332 6.653322332
132 Aug-06 830.84 851.9732773 109.7244943 757.2055859 7.572055859
133 Sep-06 878.63 852.567951 106.4237817 825.5955449 8.255955449
134 Oct-06 1036 853.1430426 104.0159813 996.0007944 9.960007944
135 Nov-06 931.12 853.699184 92.26314862 1009.20033 10.0920033
136 Dec-06 792.8 854.2369877 89.89484152 881.9193477 8.819193477
t Months yt Trend Values Seasonal Indices yt/st*100 Residuals
137 Jan-07 797.09 854.7570472 87.50457237 910.9123997 9.109123997
138 Feb-07 841.82 855.2599374 89.31537968 942.5252437 9.425252437
139 Mar-07 811.34 855.7462155 97.6164217 831.1511381 8.311511381
140 Apr-07 855.84 856.2164209 101.7102002 841.4495284 8.414495284
141 May-07 886.84 856.6710765 103.8383672 854.0581132 8.540581132
142 Jun-07 935.34 857.1106885 107.3118674 871.6090988 8.716090988
143 Jul-07 1142.48 857.5357472 110.380944 1035.033728 10.35033728
144 Aug-07 1231.13 857.9467274 109.7244943 1122.019297 11.22019297
145 Sep-07 1032.22 858.344089 106.4237817 969.9147916 9.699147916
146 Oct-07 974.51 858.728277 104.0159813 936.8848785 9.368848785
147 Nov-07 1045.7 859.0997226 92.26314862 1133.388591 11.33388591
148 Dec-07 925.87 859.4588431 89.89484152 1029.947864 10.29947864
t Months yt Trend Values Seasonal Indices yt/st*100 Residuals
149 Jan-08 1029.65 859.8060425 87.50457237 1176.681369 11.76681369
150 Feb-08 1049.03 860.1417119 89.31537968 1174.523362 11.74523362
151 Mar-08 1230.77 860.4662298 97.6164217 1260.822696 12.60822696
152 Apr-08 1233.72 860.7799627 101.7102002 1212.975687 12.12975687
153 May-08 1317.69 861.0832653 103.8383672 1268.981818 12.68981818
154 Jun-08 1414.43 861.3764807 107.3118674 1318.055528 13.18055528
155 Jul-08 1431.69 861.6599411 110.380944 1297.044533 12.97044533
156 Aug-08 1131.85 861.9339681 109.7244943 1031.538133 10.31538133
157 Sep-08 923.97 862.1988726 106.4237817 868.1988045 8.681988045
158 Oct-08 909.83 862.4549557 104.0159813 874.7021262 8.747021262
159 Nov-08 853.34 862.7025085 92.26314862 924.8979823 9.248979823
160 Dec-08 761.72 862.941813 89.89484152 847.3456175 8.473456175
t Months yt Trend Values Seasonal Indices yt/st*100 Residuals
161 Jan-09 782.89 863.1731418 87.50457237 894.6846763 8.946846763
162 Feb-09 766.46 863.3967585 89.31537968 858.1500776 8.581500776
163 Mar-09 847.05 863.6129185 97.6164217 867.7330978 8.677330978
164 Apr-09 904.52 863.8218685 101.7102002 889.3110014 8.893110014
165 May-09 888.24 864.0238474 103.8383672 855.4063624 8.554063624
166 Jun-09 816.12 864.2190862 107.3118674 760.512346 7.60512346
167 Jul-09 715.36 864.4078084 110.380944 648.082879 6.48082879
168 Aug-09 836.29 864.5902301 109.7244943 762.1725717 7.621725717
169 Sep-09 1030.95 864.7665604 106.4237817 968.7214493 9.687214493
170 Oct-09 1152.61 864.9370015 104.0159813 1108.108567 11.08108567
171 Nov-09 1154.41 865.101749 92.26314862 1251.214615 12.51214615
172 Dec-09 1013.58 865.260992 89.89484152 1127.517422 11.27517422
t Months yt Trend Values Seasonal Indices yt/st*100 Residuals
173 Jan-10 1089.26 865.4149135 87.50457237 1244.803523 12.44803523
174 Feb-10 981.59 865.5636904 89.31537968 1099.015649 10.99015649
175 Mar-10 954.72 865.7074938 97.6164217 978.0321624 9.780321624
176 Apr-10 994.73 865.8464893 101.7102002 978.0041706 9.780041706
177 May-10 1054.71 865.9808367 103.8383672 1015.722828 10.15722828
178 Jun-10 1201.27 866.1106909 107.3118674 1119.419529 11.19419529
179 Jul-10 1302.41 866.2362014 110.380944 1179.922867 11.79922867
180 Aug-10 1139.33 866.357513 109.7244943 1038.355207 10.38355207
181 Sep-10 1046.85 866.4747657 106.4237817 983.661719 9.83661719
182 Oct-10 1086.32 866.5880945 104.0159813 1044.377976 10.44377976
183 Nov-10 823.35 866.6976305 92.26314862 892.3931302 8.923931302
t Months yt Trend Values Seasonal Indices yt/st*100 Residuals
185 Jan-11 734.61 866.9058255 87.50457237 839.5104166 8.395104166
186 Feb-11 884.96 867.004725 89.31537968 990.8259957 9.908259957
187 Mar-11 852.44 867.100313 97.6164217 873.2547097 8.732547097
188 Apr-11 880.97 867.1926999 101.7102002 866.1569815 8.661569815
189 May-11 836.41 867.2819927 103.8383672 805.4922494 8.054922494
190 Jun-11 916.4 867.3682947 107.3118674 853.9596063 8.539596063
191 Jul-11 971.56 867.4517057 110.380944 880.1881597 8.801881597
192 Aug-11 948.83 867.5323224 109.7244943 864.738549 8.64738549
193 Sep-11 1194.94 867.6102381 106.4237817 1122.812948 11.22812948
194 Oct-11 1032.7 867.685543 104.0159813 992.828205 9.92828205
195 Nov-11 681.65 867.7583245 92.26314862 738.8106847 7.388106847
196 Dec-11 757.73 867.8286669 89.89484152 842.9070981 8.429070981
t Months yt Trend Values Seasonal Indices yt/st*100 Residuals
197 Jan-12 730.58 867.8966517 87.50457237 834.9049429 8.349049429
198 Feb-12 778.64 867.9623578 89.31537968 871.7871466 8.717871466
199 Mar-12 802.57 868.0258614 97.6164217 822.166994 8.22166994
200 Apr-12 822.89 868.0872361 101.7102002 809.0535642 8.090535642
201 May-12 755.83 868.1465533 103.8383672 727.8908751 7.278908751
202 Jun-12 952.76 868.2038817 107.3118674 887.842159 8.87842159
203 Jul-12 1015.16 868.2592879 110.380944 919.6877312 9.196877312
204 Aug-12 970.39 868.3128362 109.7244943 884.3877624 8.843877624
205 Sep-12 1000.89 868.3645889 106.4237817 940.4758828 9.404758828
206 Oct-12 980.85 868.4146059 104.0159813 942.9800957 9.429800957
207 Nov-12 846.84 868.4629456 92.26314862 917.852916 9.17852916
208 Dec-12 758.09 868.5096639 89.89484152 843.307566 8.43307566
t Months yt Trend Values Seasonal Indices yt/st*100 Residuals
209 Jan-13 750.03 868.5548152 87.50457237 857.1323529 8.571323529
210 Feb-13 819.58 868.598452 89.31537968 917.624717 9.17624717
211 Mar-13 908.1 868.6406251 97.6164217 930.2738045 9.302738045
212 Apr-13 980.49 868.6813833 101.7102002 964.0036083 9.640036083
213 May-13 1057.01 868.7207743 103.8383672 1017.937809 10.17937809
214 Jun-13 1157.65 868.7588436 107.3118674 1078.771648 10.78771648
215 Jul-13 1121.23 868.7956358 110.380944 1015.782217 10.15782217
216 Aug-13 1190.81 868.8311934 109.7244943 1085.272716 10.85272716
217 Sep-13 1119.72 868.865558 106.4237817 1052.133257 10.52133257
218 Oct-13 997.26 868.8987695 104.0159813 958.7565176 9.587565176
219 Nov-13 766 868.9308665 92.26314862 830.2339683 8.302339683
220 Dec-13 739.98 868.9618865 89.89484152 823.1618049 8.231618049
t Months yt Trend Values Seasonal Indices yt/st*100 Residuals
221 Jan-14 753.15 868.9918654 87.50457237 860.6978808 8.606978808
222 Feb-14 770.93 869.0208383 89.31537968 863.1548147 8.631548147
223 Mar-14 808.11 869.0488388 97.6164217 827.8422686 8.278422686
224 Apr-14 846.89 869.0758996 101.7102002 832.6500176 8.326500176
225 May-14 834.98 869.1020521 103.8383672 804.1151091 8.041151091
226 Jun-14 834.56 869.1273269 107.3118674 777.6959069 7.776959069
227 Jul-14 783.04 869.1517533 110.380944 709.3978103 7.093978103
228 Aug-14 768.17 869.1753598 109.7244943 700.0898066 7.000898066
229 Sep-14 771.03 869.1981739 106.4237817 724.4903235 7.244903235
230 Oct-14 732.15 869.2202222 104.0159813 703.8822216 7.038822216
231 Nov-14 717.87 869.2415304 92.26314862 778.0679619 7.780679619
232 Dec-14 769.23 869.2621233 89.89484152 855.6998232 8.556998232
t Months yt Trend Values Seasonal Indices yt/st*100 Residuals
233 Jan-15 758.02 869.2820249 87.50457237 866.2633043 8.662633043
234 Feb-15 704.17 869.3012584 89.31537968 788.4084494 7.884084494
235 Mar-15 633.29 869.3198462 97.6164217 648.7535488 6.487535488
236 Apr-15 612.13 869.3378099 101.7102002 601.8373759 6.018373759
237 May-15 608.64 869.3551706 103.8383672 586.1417279 5.861417279
238 Jun-15 629.9 869.3719484 107.3118674 586.9807464 5.869807464
239 Jul-15 640.11 869.3881629 110.380944 579.9098799 5.799098799
240 Aug-15 684.28 869.403833 109.7244943 623.634681 6.23634681
241 Sep-15 631.91 869.4189769 106.4237817 593.7676619 5.937676619
0
2
4
6
8
10
12
14
1
7
13
19
25
31
37
43
49
55
61
67
73
79
85
91
97
103
109
115
121
127
133
139
145
151
157
163
169
175
181
187
193
199
205
211
217
223
229
235
241
Residuals
Residuals
t Months yt Trend Values Seasonal Indices yt*100/(Tt*st) Residuals
1 Sep-95 537.55 140.1202958 106.4237817 3.604783062 0.036047831
2 Oct-95 546.21 148.9834567 104.0159813 3.524694897 0.035246949
3 Nov-95 564.24 158.0812077 92.26314862 3.868613599 0.038686136
4 Dec-95 443.23 167.4008658 89.89484152 2.945348419 0.029453484
t Months yt Trend Values Seasonal Indices yt*100/(Tt*st) Residuals
5 Jan-96 417.53 176.9291779 87.50457237 2.69685427 0.026968543
6 Feb-96 434.47 186.6524081 89.31537968 2.606153237 0.026061532
7 Mar-96 474.39 196.5564243 97.6164217 2.472437937 0.024724379
8 Apr-96 528.79 206.6267836 101.7102002 2.516124398 0.025161244
9 May-96 520.09 216.8488146 103.8383672 2.309742686 0.023097427
10 Jun-96 559.05 227.2076975 107.3118674 2.292872254 0.022928723
11 Jul-96 527.45 237.6885408 110.380944 2.010383671 0.020103837
12 Aug-96 527.25 248.2764534 109.7244943 1.935429996 0.0193543
13 Sep-96 528.42 258.9566136 106.4237817 1.917403663 0.019174037
14 Oct-96 473.7 269.7143327 104.0159813 1.688493094 0.016884931
15 Nov-96 474.99 280.5351144 92.26314862 1.835139003 0.01835139
16 Dec-96 433.88 291.4047095 89.89484152 1.656297301 0.016562973
t Months yt Trend Values Seasonal Indices yt*100/(Tt*st) Residuals
17 Jan-97 424.6 302.3091651 87.50457237 1.605084605 0.016050846
18 Feb-97 406.73 313.2348696 89.31537968 1.453817378 0.014538174
19 Mar-97 419.62 324.1685924 97.6164217 1.326057513 0.013260575
20 Apr-97 451.19 335.0975192 101.7102002 1.323804167 0.013238042
21 May-97 470.14 346.009282 103.8383672 1.30852373 0.013085237
22 Jun-97 439.75 356.8919852 107.3118674 1.148209937 0.011482099
23 Jul-97 515.5 367.7342273 110.380944 1.269990614 0.012699906
24 Aug-97 571.51 378.525118 109.7244943 1.376022523 0.013760225
25 Sep-97 547.13 389.2542916 106.4237817 1.320743348 0.013207433
26 Oct-97 493.47 399.9119175 104.0159813 1.186304938 0.011863049
27 Nov-97 414.98 410.4887057 92.26314862 1.09571519 0.010957152
28 Dec-97 352.94 420.9759105 89.89484152 0.932628892 0.009326289
t Months yt Trend Values Seasonal Indices yt*100/(Tt*st) Residuals
29 Jan-98 361.63 431.3653306 87.50457237 0.958050644 0.009580506
30 Feb-98 394.7 441.6493067 89.31537968 1.000606511 0.010006065
31 Mar-98 408.36 451.8207166 97.6164217 0.925878867 0.009258789
32 Apr-98 443.83 461.8729679 101.7102002 0.944777627 0.009447776
33 May-98 448.75 471.7999893 103.8383672 0.91598568 0.009159857
34 Jun-98 457.59 481.5962196 107.3118674 0.885412611 0.008854126
35 Jul-98 542.93 491.2565955 110.380944 1.001247262 0.010012473
36 Aug-98 506.8 500.7765377 109.7244943 0.922335756 0.009223358
37 Sep-98 499.06 510.1519365 106.4237817 0.919209567 0.009192096
38 Oct-98 433 519.379136 104.0159813 0.80149963 0.008014996
39 Nov-98 428.24 528.4549176 92.26314862 0.878316447 0.008783164
40 Dec-98 383.92 537.3764829 89.89484152 0.794744094 0.007947441
t Months yt Trend Values Seasonal Indices yt*100/(Tt*st) Residuals
41 Jan-99 417.37 546.1414366 87.50457237 0.873344027 0.00873344
42 Feb-99 403.97 554.7477682 89.31537968 0.815318509 0.008153185
43 Mar-99 439.64 563.1938342 97.6164217 0.799680349 0.007996803
44 Apr-99 447.14 571.4783401 101.7102002 0.769270784 0.007692708
45 May-99 444.25 579.6003222 103.8383672 0.738143785 0.007381438
46 Jun-99 484.44 587.5591296 107.3118674 0.768317392 0.007683174
47 Jul-99 460.27 595.3544067 110.380944 0.700394928 0.007003949
48 Aug-99 492.36 602.9860755 109.7244943 0.744169544 0.007441695
49 Sep-99 471.85 610.4543182 106.4237817 0.726293408 0.007262934
50 Oct-99 517.99 617.7595608 104.0159813 0.80612396 0.00806124
51 Nov-99 340.37 624.9024566 92.26314862 0.590351636 0.005903516
52 Dec-99 339.07 631.8838701 89.89484152 0.596921643 0.005969216
t Months yt Trend Values Seasonal Indices yt*100/(Tt*st) Residuals
53 Jan-00 348.9 638.7048617 87.50457237 0.624266458 0.006242665
54 Feb-00 323.59 645.3666728 89.31537968 0.561386945 0.005613869
55 Mar-00 299.18 651.8707115 97.6164217 0.470162736 0.004701627
56 Apr-00 337.49 658.2185387 101.7102002 0.504111134 0.005041111
57 May-00 411.02 664.4118547 103.8383672 0.595755049 0.00595755
58 Jun-00 426.49 670.4524869 107.3118674 0.592779389 0.005927794
59 Jul-00 401.78 676.3423773 110.380944 0.53818007 0.005381801
60 Aug-00 392.32 682.0835712 109.7244943 0.524202722 0.005242027
61 Sep-00 364.71 687.6782064 106.4237817 0.498337677 0.004983377
62 Oct-00 379.84 693.1285024 104.0159813 0.52684986 0.005268499
63 Nov-00 364.21 698.4367507 92.26314862 0.565192658 0.005651927
64 Dec-00 309.02 703.6053056 89.89484152 0.488565405 0.004885654
t Months yt Trend Values Seasonal Indices yt*100/(Tt*st) Residuals
65 Jan-01 348.93 708.6365756 87.50457237 0.562709179 0.005627092
66 Feb-01 407.17 713.5330147 89.31537968 0.63890377 0.006389038
67 Mar-01 554.81 718.2971148 97.6164217 0.79125647 0.007912565
68 Apr-01 629.72 722.9313988 101.7102002 0.856418204 0.008564182
69 May-01 734.34 727.4384133 103.8383672 0.972171989 0.00972172
70 Jun-01 830.56 731.8207226 107.3118674 1.057592973 0.01057593
71 Jul-01 962.94 736.0809025 110.380944 1.185167062 0.011851671
72 Aug-01 784.58 740.2215354 109.7244943 0.96598844 0.009659884
73 Sep-01 577.54 744.2452043 106.4237817 0.729167556 0.007291676
74 Oct-01 423.63 748.154489 104.0159813 0.544371464 0.005443715
75 Nov-01 466 751.9519611 92.26314862 0.671687937 0.006716879
76 Dec-01 425.76 755.6401805 89.89484152 0.626779874 0.006267799
t Months yt Trend Values Seasonal Indices yt*100/(Tt*st) Residuals
77 Jan-02 443.71 759.2216915 87.50457237 0.667882189 0.006678822
78 Feb-02 454.62 762.6990193 89.31537968 0.66737372 0.006673737
79 Mar-02 590.33 766.0746674 97.6164217 0.789406811 0.007894068
80 Apr-02 579.16 769.3511144 101.7102002 0.74013248 0.007401325
81 May-02 635.51 772.5308118 103.8383672 0.792225337 0.007922253
82 Jun-02 635.47 775.6161815 107.3118674 0.763484878 0.007634849
83 Jul-02 653.47 778.6096141 110.380944 0.760346915 0.007603469
84 Aug-02 637.6 781.5134667 109.7244943 0.743546707 0.007435467
85 Sep-02 626.68 784.3300617 106.4237817 0.750772379 0.007507724
86 Oct-02 614.28 787.0616853 104.0159813 0.750339024 0.00750339
87 Nov-02 476.8 789.7105861 92.26314862 0.654395065 0.006543951
t Months yt Trend Values Seasonal Indices yt*100/(Tt*st) Residuals
89 Jan-03 547.13 794.7690208 87.50457237 0.786717573 0.007867176
90 Feb-03 505.06 797.1828562 89.31537968 0.709347064 0.007093471
91 Mar-03 633.16 799.5225706 97.6164217 0.811259617 0.008112596
92 Apr-03 700 801.7902129 101.7102002 0.85836654 0.008583665
93 May-03 685 803.9877904 103.8383672 0.820508846 0.008205088
94 Jun-03 719.44 806.1172688 107.3118674 0.831665342 0.008316653
95 Jul-03 749.65 808.1805719 110.380944 0.840341933 0.008403419
96 Aug-03 793.2 810.1795813 109.7244943 0.892273149 0.008922731
97 Sep-03 782.99 812.1161371 106.4237817 0.905939901 0.009059399
98 Oct-03 836.15 813.9920374 104.0159813 0.987561082 0.009875611
99 Nov-03 660.98 815.8090387 92.26314862 0.87815572 0.008781557
100 Dec-03 582.95 817.5688562 89.89484152 0.793180806 0.007931808
t Months yt Trend Values Seasonal Indices yt*100/(Tt*st) Residuals
101 Jan-04 718.27 819.273164 87.50457237 1.001908939 0.010019089
102 Feb-04 831.05 820.9235957 89.31537968 1.133439038 0.01133439
103 Mar-04 934.72 822.5217443 97.6164217 1.164156222 0.011641562
104 Apr-04 858.92 824.0691634 101.7102002 1.024765611 0.010247656
105 May-04 872.75 825.5673668 103.8383672 1.018074334 0.010180743
106 Jun-04 920.82 827.01783 107.3118674 1.037557367 0.010375574
107 Jul-04 994.18 828.4219899 110.380944 1.087224673 0.010872247
108 Aug-04 935.59 829.7812459 109.7244943 1.027586448 0.010275864
109 Sep-04 901.3 831.0969601 106.4237817 1.019011277 0.010190113
110 Oct-04 921.2 832.3704586 104.0159813 1.063989153 0.010639892
111 Nov-04 715.34 833.6030312 92.26314862 0.930089954 0.0093009
112 Dec-04 686.13 834.7959328 89.89484152 0.914305459 0.009143055
t Months yt Trend Values Seasonal Indices yt*100/(Tt*st) Residuals
113 Jan-05 640.12 835.950384 87.50457237 0.875084816 0.008750848
114 Feb-05 742.36 837.0675712 89.31537968 0.992950953 0.00992951
115 Mar-05 1109.06 838.148648 97.6164217 1.355536167 0.013555362
116 Apr-05 1174.97 839.1947354 101.7102002 1.376573859 0.013765739
117 May-05 1095.68 840.2069226 103.8383672 1.255855374 0.012558554
118 Jun-05 934.69 841.186268 107.3118674 1.035446513 0.010354465
119 Jul-05 748.69 842.1337994 110.380944 0.805428198 0.008054282
120 Aug-05 757.4 843.050515 109.7244943 0.818781676 0.008187817
121 Sep-05 749.03 843.9373841 106.4237817 0.833969754 0.008339698
122 Oct-05 815.14 844.7953475 104.0159813 0.927642465 0.009276425
123 Nov-05 879.53 845.6253186 92.26314862 1.127312723 0.011273127
124 Dec-05 849.42 846.4281836 89.89484152 1.116342851 0.011163429
t Months yt Trend Values Seasonal Indices yt*100/(Tt*st) Residuals
125 Jan-06 849.75 847.2048027 87.50457237 1.14623065 0.011462307
126 Feb-06 821.46 847.9560103 89.31537968 1.084643079 0.010846431
127 Mar-06 808.86 848.6826159 97.6164217 0.976349187 0.009763492
128 Apr-06 800.33 849.3854047 101.7102002 0.92640266 0.009264027
129 May-06 800.19 850.0651379 103.8383672 0.906531842 0.009065318
130 Jun-06 665.84 850.7225542 107.3118674 0.729346969 0.00729347
131 Jul-06 734.4 851.3583693 110.380944 0.781494911 0.007814949
132 Aug-06 830.84 851.9732773 109.7244943 0.888766827 0.008887668
133 Sep-06 878.63 852.567951 106.4237817 0.968363336 0.009683633
134 Oct-06 1036 853.1430426 104.0159813 1.167448768 0.011674488
135 Nov-06 931.12 853.699184 92.26314862 1.182149812 0.011821498
136 Dec-06 792.8 854.2369877 89.89484152 1.032405949 0.010324059
t Months yt Trend Values Seasonal Indices yt*100/(Tt*st) Residuals
137 Jan-07 797.09 854.7570472 87.50457237 1.065697443 0.010656974
138 Feb-07 841.82 855.2599374 89.31537968 1.102033665 0.011020337
139 Mar-07 811.34 855.7462155 97.6164217 0.971258912 0.009712589
140 Apr-07 855.84 856.2164209 101.7102002 0.982753318 0.009827533
141 May-07 886.84 856.6710765 103.8383672 0.996949864 0.009969499
142 Jun-07 935.34 857.1106885 107.3118674 1.016915447 0.010169154
143 Jul-07 1142.48 857.5357472 110.380944 1.206986101 0.012069861
144 Aug-07 1231.13 857.9467274 109.7244943 1.307795999 0.01307796
145 Sep-07 1032.22 858.344089 106.4237817 1.129983656 0.011299837
146 Oct-07 974.51 858.728277 104.0159813 1.091014356 0.010910144
147 Nov-07 1045.7 859.0997226 92.26314862 1.319274772 0.013192748
148 Dec-07 925.87 859.4588431 89.89484152 1.198367871 0.011983679
t Months yt Trend Values Seasonal Indices yt*100/(Tt*st) Residuals
149 Jan-08 1029.65 859.8060425 87.50457237 1.3685428 0.013685428
150 Feb-08 1049.03 860.1417119 89.31537968 1.36549983 0.013654998
151 Mar-08 1230.77 860.4662298 97.6164217 1.465278534 0.014652785
152 Apr-08 1233.72 860.7799627 101.7102002 1.409158832 0.014091588
153 May-08 1317.69 861.0832653 103.8383672 1.47370396 0.01473704
154 Jun-08 1414.43 861.3764807 107.3118674 1.530173574 0.015301736
155 Jul-08 1431.69 861.6599411 110.380944 1.505285868 0.015052859
156 Aug-08 1131.85 861.9339681 109.7244943 1.196771645 0.011967716
157 Sep-08 923.97 862.1988726 106.4237817 1.006958872 0.010069589
158 Oct-08 909.83 862.4549557 104.0159813 1.01420036 0.010142004
159 Nov-08 853.34 862.7025085 92.26314862 1.072093767 0.010720938
160 Dec-08 761.72 862.941813 89.89484152 0.981926712 0.009819267
t Months yt Trend Values Seasonal Indices yt*100/(Tt*st) Residuals
161 Jan-09 782.89 863.1731418 87.50457237 1.036506621 0.010365066
162 Feb-09 766.46 863.3967585 89.31537968 0.99392321 0.009939232
163 Mar-09 847.05 863.6129185 97.6164217 1.004770863 0.010047709
164 Apr-09 904.52 863.8218685 101.7102002 1.029507395 0.010295074
165 May-09 888.24 864.0238474 103.8383672 0.990026334 0.009900263
166 Jun-09 816.12 864.2190862 107.3118674 0.879999479 0.008799995
167 Jul-09 715.36 864.4078084 110.380944 0.749742046 0.00749742
168 Aug-09 836.29 864.5902301 109.7244943 0.881541966 0.00881542
169 Sep-09 1030.95 864.7665604 106.4237817 1.120211504 0.011202115
170 Oct-09 1152.61 864.9370015 104.0159813 1.281143673 0.012811437
171 Nov-09 1154.41 865.101749 92.26314862 1.446320756 0.014463208
172 Dec-09 1013.58 865.260992 89.89484152 1.303095173 0.013030952
t Months yt Trend Values Seasonal Indices yt*100/(Tt*st) Residuals
173 Jan-10 1089.26 865.4149135 87.50457237 1.438389267 0.014383893
174 Feb-10 981.59 865.5636904 89.31537968 1.269710897 0.012697109
175 Mar-10 954.72 865.7074938 97.6164217 1.129748985 0.01129749
176 Apr-10 994.73 865.8464893 101.7102002 1.129535296 0.011295353
177 May-10 1054.71 865.9808367 103.8383672 1.172916056 0.011729161
178 Jun-10 1201.27 866.1106909 107.3118674 1.292467049 0.01292467
179 Jul-10 1302.41 866.2362014 110.380944 1.362126018 0.01362126
180 Aug-10 1139.33 866.357513 109.7244943 1.198529696 0.011985297
181 Sep-10 1046.85 866.4747657 106.4237817 1.135245662 0.011352457
182 Oct-10 1086.32 866.5880945 104.0159813 1.205160771 0.012051608
183 Nov-10 823.35 866.6976305 92.26314862 1.029647594 0.010296476
184 Dec-10 723.89 866.8035001 89.89484152 0.929003071 0.009290031
t Months yt Trend Values Seasonal Indices yt*100/(Tt*st) Residuals
185 Jan-11 734.61 866.9058255 87.50457237 0.968398633 0.009683986
186 Feb-11 884.96 867.004725 89.31537968 1.142814989 0.01142815
187 Mar-11 852.44 867.100313 97.6164217 1.007097676 0.010070977
188 Apr-11 880.97 867.1926999 101.7102002 0.998805665 0.009988057
189 May-11 836.41 867.2819927 103.8383672 0.928754726 0.009287547
190 Jun-11 916.4 867.3682947 107.3118674 0.984540952 0.00984541
191 Jul-11 971.56 867.4517057 110.380944 1.014682609 0.010146826
192 Aug-11 948.83 867.5323224 109.7244943 0.996779632 0.009967796
193 Sep-11 1194.94 867.6102381 106.4237817 1.294144419 0.012941444
194 Oct-11 1032.7 867.685543 104.0159813 1.144225823 0.011442258
195 Nov-11 681.65 867.7583245 92.26314862 0.851401437 0.008514014
196 Dec-11 757.73 867.8286669 89.89484152 0.971282847 0.009712828
t Months yt Trend Values Seasonal Indices yt*100/(Tt*st) Residuals
197 Jan-12 730.58 867.8966517 87.50457237 0.961986593 0.009619866
198 Feb-12 778.64 867.9623578 89.31537968 1.00440663 0.010044066
199 Mar-12 802.57 868.0258614 97.6164217 0.947168778 0.009471688
200 Apr-12 822.89 868.0872361 101.7102002 0.931995692 0.009319957
201 May-12 755.83 868.1465533 103.8383672 0.838442395 0.008384424
202 Jun-12 952.76 868.2038817 107.3118674 1.02261943 0.010226194
203 Jul-12 1015.16 868.2592879 110.380944 1.059231665 0.010592317
204 Aug-12 970.39 868.3128362 109.7244943 1.018512828 0.010185128
205 Sep-12 1000.89 868.3645889 106.4237817 1.083042647 0.010830426
206 Oct-12 980.85 868.4146059 104.0159813 1.085863929 0.010858639
207 Nov-12 846.84 868.4629456 92.26314862 1.056870556 0.010568706
208 Dec-12 758.09 868.5096639 89.89484152 0.970982363 0.009709824
t Months yt Trend Values Seasonal Indices yt*100/(Tt*st) Residuals
209 Jan-13 750.03 868.5548152 87.50457237 0.986848887 0.009868489
210 Feb-13 819.58 868.598452 89.31537968 1.056442957 0.01056443
211 Mar-13 908.1 868.6406251 97.6164217 1.0709536 0.010709536
212 Apr-13 980.49 868.6813833 101.7102002 1.109732091 0.011097321
213 May-13 1057.01 868.7207743 103.8383672 1.171766393 0.011717664
214 Jun-13 1157.65 868.7588436 107.3118674 1.241738897 0.012417389
215 Jul-13 1121.23 868.7956358 110.380944 1.169184299 0.011691843
216 Aug-13 1190.81 868.8311934 109.7244943 1.249118039 0.01249118
217 Sep-13 1119.72 868.865558 106.4237817 1.210927568 0.012109276
218 Oct-13 997.26 868.8987695 104.0159813 1.10341567 0.011034157
219 Nov-13 766 868.9308665 92.26314862 0.955466079 0.009554661
220 Dec-13 739.98 868.9618865 89.89484152 0.947293337 0.009472933
t Months yt Trend Values Seasonal Indices yt*100/(Tt*st) Residuals
221 Jan-14 753.15 868.9918654 87.50457237 0.990455625 0.009904556
222 Feb-14 770.93 869.0208383 89.31537968 0.993249847 0.009932498
223 Mar-14 808.11 869.0488388 97.6164217 0.952584287 0.009525843
224 Apr-14 846.89 869.0758996 101.7102002 0.95808665 0.009580867
225 May-14 834.98 869.1020521 103.8383672 0.925225187 0.009252252
226 Jun-14 834.56 869.1273269 107.3118674 0.894800891 0.008948009
227 Jul-14 783.04 869.1517533 110.380944 0.81619557 0.008161956
228 Aug-14 768.17 869.1753598 109.7244943 0.805464396 0.008054644
229 Sep-14 771.03 869.1981739 106.4237817 0.833515699 0.008335157
230 Oct-14 732.15 869.2202222 104.0159813 0.809785833 0.008097858
231 Nov-14 717.87 869.2415304 92.26314862 0.895111352 0.008951114
232 Dec-14 769.23 869.2621233 89.89484152 0.984397917 0.009843979
t Months yt Trend Values Seasonal Indices yt*100/(Tt*st) Residuals
233 Jan-15 758.02 869.2820249 87.50457237 0.99652734 0.009965273
234 Feb-15 704.17 869.3012584 89.31537968 0.906945023 0.00906945
235 Mar-15 633.29 869.3198462 97.6164217 0.746277163 0.007462772
236 Apr-15 612.13 869.3378099 101.7102002 0.69229403 0.00692294
237 May-15 608.64 869.3551706 103.8383672 0.674225849 0.006742258
238 Jun-15 629.9 869.3719484 107.3118674 0.675177923 0.006751779
239 Jul-15 640.11 869.3881629 110.380944 0.667032178 0.006670322
240 Aug-15 684.28 869.403833 109.7244943 0.717313011 0.00717313
241 Sep-15 631.91 869.4189769 106.4237817 0.682947667 0.006829477
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Series1
t yt ∆yt ∆2yt ∆3yt ∆4yt ∆5yt ∆6yt ∆7yt ∆8yt ∆9yt ∆10yt ∆11yt
Sep-95 537.55 8.66
Oct-95 546.21 18.03 9.37 -148.41
Nov-95 564.24 -121.01 -139.04 234.35 382.76 -669.78
Dec-95 443.23 -25.7 95.31 -52.67 -287.02 320.03 989.81
-
1331.69
t yt ∆yt ∆2yt ∆3yt ∆4yt ∆5yt ∆6yt ∆7yt ∆8yt ∆9yt ∆10yt ∆11yt
Jan-96 417.53 16.94 42.64 -19.66 33.01 -21.85 -341.88 283.49 1615.18 -1502.62
Feb-96 434.47 39.92 22.98 -8.5 11.16 -80.24 -58.39 396.05 112.56 -1521.01 -18.39 5501.47
Mar-96 474.39 54.4 14.48 -77.58 -69.08 257.42 337.66 -1012.4 -1408.45 3962.07 5483.08 -15207.8
Apr-96 528.79 -8.7 -63.1 110.76 188.34 -417.32 -674.74 1541.22 2553.62 -5762.65 -9724.7221622.47
May-96 520.09 38.96 47.66 -118.22 -228.98 449.16 866.48 -1667.81 -3209.03 6135.1 11897.75 -22582.5
Jun-96 559.05 -31.6 -70.56 101.96 220.18 -352.17 -801.33 1258.26 2926.07 -4549.63 -10684.716555.73
Jul-96 527.45 -0.2 31.4 -30.03 -131.99 104.76 456.93 -365.3 -1623.56 1321.37 5871 -4884.41
Aug-96 527.25 1.17 1.37 -57.26 -27.23 196.39 91.63 -667.49 -302.19 2307.96 986.59 -8071.26
Sep-96 528.42 -54.72 -55.89 111.9 169.16 -379.47 -575.86 1338.28 2005.77 -4776.71 -7084.6717216.93
Oct-96 473.7 1.29 56.01 -98.41 -210.31 382.95 762.42 -1432.66 -2770.94 5355.5510132.26 -20031.7
Nov-96 474.99 -41.11 -42.4 74.23 172.64 -287.29 -670.24 1151.95 2584.61 -4543.89 -9899.4417698.97
Dec-96 433.88 -9.28 31.83 -40.42 -114.65 194.42 481.71 -807.33 -1959.28 3255.64 7799.53 -13022.4
t yt ∆yt ∆2yt ∆3yt ∆4yt ∆5yt ∆6yt ∆7yt ∆8yt ∆9yt ∆10yt ∆11yt
Jan-97 424.6 -17.87 -8.59 39.35 79.77 -131.2 -325.62 489.03 1296.36 -1967.21 -5222.85 8244.96
Feb-97 406.73 12.89 30.76 -12.08 -51.43 32.21 163.41 -181.82 -670.85 1054.9 3022.11 -5518.29
Mar-97 419.62 31.57 18.68 -31.3 -19.22 13.8 -18.41 202.23 384.05 -1441.28 -2496.18 7341.02
Apr-97 451.19 18.95 -12.62 -36.72 -5.42 197.62 183.82 -855 -1057.23 3403.56 4844.84 -13206.3
May-97 470.14 -30.39 -49.34 155.48 192.2 -473.56 -671.18 1491.33 2346.33 -4957.87 -8361.4317146.16
Jun-97 439.75 75.75 106.14 -125.88 -281.36 346.59 820.15 -1120.21 -2611.54 3826.86 8784.73 -13475.2
Jul-97 515.5 56.01 -19.74 -60.65 65.23 46.53 -300.06 95.11 1215.32 -863.57 -4690.43 4406.16
Aug-97 571.51 -24.38 -80.39 51.11 111.76 -158.42 -204.95 446.86 351.75 -1147.84 -284.27 2594.95
Sep-97 547.13 -53.66 -29.28 4.45 -46.66 83.49 241.91 -349.23 -796.09 1162.84 2310.68 -3551.17
Oct-97 493.47 -78.49 -24.83 41.28 36.83 -23.83 -107.32 17.52 366.75 -77.65 -1240.49 484.86
Nov-97 414.98 -62.04 16.45 54.28 13 -113.63 -89.8 306.62 289.1 -833.28 -755.63 2130.35
Dec-97 352.94 8.69 70.73 -46.35 -100.63 103.19 216.82 -237.56 -544.18 541.44 1374.72 -1053.08
t yt ∆yt ∆2yt ∆3yt ∆4yt ∆5yt ∆6yt ∆7yt ∆8yt ∆9yt ∆10yt ∆11yt
Jan-98 361.63 33.07 24.38 -43.79 2.56 82.45 -20.74 -240.3 -2.74 863.08 321.64 -3253.23
Feb-98 394.7 13.66 -19.41 41.22 85.01 -178.59 -261.04 620.04 860.34 -2068.51 -2931.59 6765.59
Mar-98 408.36 35.47 21.81 -52.36 -93.58 180.41 359 -588.13 -1208.17 1765.49 3834 -4939.02
Apr-98 443.83 4.92 -30.55 34.47 86.83 -48.72 -229.13 -30.81 557.32 660.47 -1105.02 -4090.04
May-98 448.75 8.84 3.92 72.58 38.11 -308.66 -259.94 1186.98 1217.79 -4534.59 -5195.0617406.35
Jun-98 457.59 85.34 76.5 -197.97 -270.55 618.38 927.04 -2129.82 -3316.8 7676.7 12211.29 -28375
Jul-98 542.93 -36.13 -121.47 149.86 347.83 -584.4 -1202.78 2230.08 4359.9 -8486.99 -16163.732409.97
Aug-98 506.8 -7.74 28.39 -86.71 -236.57 442.9 1027.3 -1897.01 -4127.09 7759.2916246.28 -31137.3
Sep-98 499.06 -66.06 -58.32 119.62 206.33 -426.81 -869.71 1735.19 3632.2 -7131.68 -14891 29107.86
Oct-98 433 -4.76 61.3 -100.86 -220.48 438.67 865.48 -1764.29 -3499.48 7085.2114216.89 -28488.1
Nov-98 428.24 -44.32 -39.56 117.33 218.19 -460.14 -898.81 1821.44 3585.73 -7185.99 -14271.228354.34
Dec-98 383.92 33.45 77.77 -124.62 -241.95 462.49 922.63 -1778.82 -3600.26 6897.1514083.14 -26784.6
t yt ∆yt ∆2yt ∆3yt ∆4yt ∆5yt ∆6yt ∆7yt ∆8yt ∆9yt ∆10yt ∆11yt
Jan-99 417.37 -13.4 -46.85 95.92 220.54 -393.7 -856.19 1518.07 3296.89 -5804.35 -12701.522192.94
Feb-99 403.97 35.67 49.07 -77.24 -173.16 268.18 661.88 -989.39 -2507.46 3687.09 9491.44 -13825.6
Mar-99 439.64 7.5 -28.17 17.78 95.02 -59.33 -327.51 190.24 1179.63 -647.03 -4334.12 2293.63
Apr-99 447.14 -2.89 -10.39 53.47 35.69 -196.6 -137.27 722.84 532.6 -2687.52 -2040.4910076.65
May-99 444.25 40.19 43.08 -107.44 -160.91 388.97 585.57 -1432.08 -2154.92 5348.64 8036.16 -20350.7
Jun-99 484.44 -24.17 -64.36 120.62 228.06 -457.54 -846.51 1761.64 3193.72 -6965.85 -12314.527896.24
Jul-99 460.27 32.09 56.26 -108.86 -229.48 457.59 915.13 -2010.49 -3772.13 8615.9 15581.75 -35968.5
Aug-99 492.36 -20.51 -52.6 119.25 228.11 -637.77 -1095.36 2833.28 4843.77 -11770.9 -20386.847474.46
Sep-99 471.85 46.14 66.65 -290.41 -409.66 1100.15 1737.92 -4093.83 -6927.11 15316.827087.68 -57750.8
Oct-99 517.99 -177.62 -223.76 400.08 690.49 -1255.76 -2355.91 4295.86 8389.69 -15346.3 -30663.156327.64
Nov-99 340.37 -1.3 176.32 -165.19 -565.27 684.19 1939.95 -2660.75 -6956.61 10318.24 25664.54 -40083.9
Dec-99 339.07 9.83 11.13 -46.27 118.92 -36.61 -720.8 700.88 3361.63 -4101.16 -14419.419495.95
t yt ∆yt ∆2yt ∆3yt ∆4yt ∆5yt ∆6yt ∆7yt ∆8yt ∆9yt ∆10yt ∆11yt
Jan-00 348.9 -25.31 -35.14 36.04 82.31 -56.53 -19.92 -38.65 -739.53 975.39 5076.55 -6470.25
Feb-00 323.59 -24.41 0.9 61.82 25.78 -115.1 -58.57 197.21 235.86 -418.31 -1393.7 1575.75
Mar-00 299.18 38.31 62.72 -27.5 -89.32 23.54 138.64 14.76 -182.45 -236.26 182.05 1074.65
Apr-00 337.49 73.53 35.22 -93.28 -65.78 176.94 153.4 -403.95 -418.71 1020.44 1256.7 -2714.38
May-00 411.02 15.47 -58.06 17.88 111.16 -73.61 -250.55 197.78 601.73 -437.24 -1457.68 646.86
Jun-00 426.49 -24.71 -40.18 55.43 37.55 -126.38 -52.77 362.27 164.49 -1248.06 -810.82 4703.32
Jul-00 401.78 -9.46 15.25 -33.4 -88.83 183.12 309.5 -721.3 -1083.57 2644.44 3892.5 -9485.48
Aug-00 392.32 -27.61 -18.15 60.89 94.29 -228.68 -411.8 839.57 1560.87 -2948.54 -5592.9810163.97
Sep-00 364.71 15.13 42.74 -73.5 -134.39 199.09 427.77 -548.1 -1387.67 1622.45 4570.99 -4967.09
Oct-00 379.84 -15.63 -30.76 -8.8 64.7 78.76 -120.33 -313.32 234.78 1226.35 -396.1 -4893.66
Nov-00 364.21 -55.19 -39.56 134.66 143.46 -354.89 -433.65 1147.81 1461.13 -4063.41 -5289.7615029.04
Dec-00 309.02 39.91 95.1 -76.77 -211.43 359.27 714.16 -1454.47 -2602.28 5675.87 9739.28 -21889.6
t yt ∆yt ∆2yt ∆3yt ∆4yt ∆5yt ∆6yt ∆7yt ∆8yt ∆9yt ∆10yt ∆11yt
Jan-01 348.93 58.24 18.33 71.07 147.84 -381.04 -740.31 1619.12 3073.59 -6474.41 -12150.325338.44
Feb-01 407.17 147.64 89.4 -162.13 -233.2 497.77 878.81 -1781.7 -3400.82 6713.7513188.16 -26071.8
Mar-01 554.81 74.91 -72.73 102.44 264.57 -405.12 -902.89 1531.23 3312.93 -6169.85 -12883.625427.96
Apr-01 629.72 104.62 29.71 -38.11 -140.55 223.22 628.34 -1325.69 -2856.92 6374.5112544.36 -27972.5
May-01 734.34 96.22 -8.4 44.56 82.67 -474.13 -697.35 2191.9 3517.59 -9053.67 -15428.236302.54
Jun-01 830.56 132.38 36.16 -346.9 -391.46 1020.42 1494.55 -3344.18 -5536.08 11820.69 20874.36 -43755.9
Jul-01 962.94 -178.36 -310.74 282.06 628.96 -829.21 -1849.63 2940.43 6284.61 -11060.8 -22881.542624.36
Aug-01 784.58 -207.04 -28.68 81.81 -200.25 261.59 1090.8 -1835.77 -4776.2 8682.0519742.86 -37193.4
Sep-01 577.54 -153.91 53.13 143.15 61.34 -483.38 -744.97 2070.08 3905.85 -8768.49 -17450.5 36370.5
Oct-01 423.63 42.37 196.28 -278.89 -422.04 841.73 1325.11 -2792.56 -4862.64 10151.47 18919.96 -38889
Nov-01 466 -40.24 -82.61 140.8 419.69 -625.72 -1467.45 2496.27 5288.83 -9817.61 -19969.138841.86
Dec-01 425.76 17.95 58.19 -65.23 -206.03 403.1 1028.82 -2032.51 -4528.78 9055.1718872.78 -38152.4
t yt ∆yt ∆2yt ∆3yt ∆4yt ∆5yt ∆6yt ∆7yt ∆8yt ∆9yt ∆10yt ∆11yt
Jan-02 443.71 10.91 -7.04 131.84 197.07 -600.59 -1003.69 2493.88 4526.39 -10224.5 -19279.641481.34
Feb-02 454.62 135.71 124.8 -271.68 -403.52 889.6 1490.19 -3204.18 -5698.06 11977.27 22201.72 -45755.6
Mar-02 590.33 -11.17 -146.88 214.4 486.08 -824.39 -1713.99 3075.03 6279.21 -11576.6 -23553.944053.34
Apr-02 579.16 56.35 67.52 -123.91 -338.31 536.65 1361.04 -2222.37 -5297.4 8922.8520499.46 -35345.6
May-02 635.51 -0.04 -56.39 74.43 198.34 -324.68 -861.33 1403.08 3625.45 -5923.33 -14846.2 24379.3
Jun-02 635.47 18 18.04 -51.91 -126.34 217.07 541.75 -894.8 -2297.88 3609.79 9533.12 -14410.8
Jul-02 653.47 -15.87 -33.87 38.82 90.73 -135.98 -353.05 417.11 1311.91 -1267.87 -4877.66 4196.17
Aug-02 637.6 -10.92 4.95 -6.43 -45.25 -71.92 64.06 461.15 44.04 -1949.36 -681.49 7078.7
Sep-02 626.68 -12.4 -1.48 -123.6 -117.17 453.29 525.21 -1444.17 -1905.32 4447.85 6397.21 -13297.8
Oct-02 614.28 -137.48 -125.08 212.52 336.12 -465.67 -918.96 1098.36 2542.53 -2452.74 -6900.59 4397.06
Nov-02 476.8 -50.04 87.44 82.97 -129.55 -286.27 179.4 1188.15 89.79 -4956.27 -2503.5320319.78
Dec-02 426.76 120.37 170.41 -332.85 -415.82 1081.28 1367.55 -3678.33 -4866.48 12859.98 17816.25 -45823.2
t yt ∆yt ∆2yt ∆3yt ∆4yt ∆5yt ∆6yt ∆7yt ∆8yt ∆9yt ∆10yt ∆11yt
Jan-03 547.13 -42.07 -162.44 332.61 665.46 -1229.5 -2310.78 4315.17 7993.5 -15146.9 -28006.953701.63
Feb-03 505.06 128.1 170.17 -231.43 -564.04 774.89 2004.39 -2838.27 -7153.44 10547.77 25694.71 -39322.1
Mar-03 633.16 66.84 -61.26 -20.58 210.85 -58.99 -833.88 556.06 3394.33 -3079.57 -13627.314516.23
Apr-03 700 -15 -81.84 131.28 151.86 -336.81 -277.82 870.82 314.76 -2190.68 888.89 5019.72
May-03 685 34.44 49.44 -53.67 -184.95 256.19 593 -1005.1 -1875.92 3717.93 5908.61 -13592.2
Jun-03 719.44 30.21 -4.23 17.57 71.24 -155.91 -412.1 836.91 1842.01 -3965.69 -7683.6217540.78
Jul-03 749.65 43.55 13.34 -67.1 -84.67 268.9 424.81 -1286.77 -2123.68 5891.47 9857.16 -25468.9
Aug-03 793.2 -10.21 -53.76 117.13 184.23 -593.06 -861.96 2481.02 3767.79 -9720.3 -15611.837292.09
Sep-03 782.99 53.16 63.37 -291.7 -408.83 1026 1619.06 -3471.49 -5952.51 11960.02 21680.32 -42123.2
Oct-03 836.15 -175.17 -228.33 325.47 617.17 -826.43 -1852.43 2536.02 6007.51 -8482.86 -20442.929561.63
Nov-03 660.98 -78.03 97.14 116.21 -209.26 -142.84 683.59 60.67 -2475.35 635.89 9118.75 -4045.5
Dec-03 582.95 135.32 213.35 -235.89 -352.1 601.42 744.26 -1778.79 -1839.46 5709.14 5073.25 -19186.5
t yt ∆yt ∆2yt ∆3yt ∆4yt ∆5yt ∆6yt ∆7yt ∆8yt ∆9yt ∆10yt ∆11yt
Jan-04 718.27 112.78 -22.54 13.43 249.32 -433.11 -1034.53 2090.89 3869.68 -8404.13 -14113.332017.49
Feb-04 831.05 103.67 -9.11 -170.36 -183.79 623.25 1056.36 -2443.56 -4534.45 9500.0917904.22 -36592.6
Mar-04 934.72 -75.8 -179.47 269.1 439.46 -763.95 -1387.2 2522.08 4965.64 -9188.26 -18688.435021.94
Apr-04 858.92 13.83 89.63 -55.39 -324.49 370.93 1134.88 -1700.54 -4222.62 7145.3316333.59 -29181.9
May-04 872.75 48.07 34.24 -8.95 46.44 -194.73 -565.66 1222.17 2922.71 -5703.02 -12848.424047.82
Jun-04 920.82 73.36 25.29 -157.24 -148.29 461.78 656.51 -1558.14 -2780.31 5496.4511199.47 -19650.8
Jul-04 994.18 -58.59 -131.95 156.25 313.49 -439.85 -901.63 1158 2716.14 -2954.83 -8451.28 7279.39
Aug-04 935.59 -34.29 24.3 29.89 -126.36 -183.48 256.37 919.31 -238.69 -4126.72 -1171.8917613.12
Sep-04 901.3 19.9 54.19 -279.95 -309.84 992.2 1175.68 -3446.1 -4365.41 12314.51 16441.23 -44802.1
Oct-04 921.2 -205.86 -225.76 402.41 682.36 -1278.22 -2270.42 4503 7949.1 -16046.4 -28360.957235.25
Nov-04 715.34 -29.21 176.65 -193.45 -595.86 954.36 2232.58 -3594.28 -8097.28 12827.98 28874.36 -45309.3
Dec-04 686.13 -46.01 -16.8 165.05 358.5 -407.34 -1361.7 1136.42 4730.7 -3606.92 -16434.912407.69
Time series analysis
Time series analysis
Time series analysis
Time series analysis
Time series analysis
Time series analysis
Time series analysis
Time series analysis
Time series analysis
Time series analysis
Time series analysis
Time series analysis
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Time series analysis

  • 1.
  • 2.
  • 3. • Nishi aggarwal • Raman mangla • Parth kansal • Aashi • Shivam dhawan • Samarth goyal • Abhishek rawat • Neha jalan
  • 4. • I WOULD LIKE TO THANK DR. VANDANA SARIN WALIA FOR PROVIDING OUR TEAM A WONDERFUL OPPORTUNITY TO APPLY THE KNOWLEDGE , IN PRACTICAL TERMS . THROUGH THIS PROJECT WE WERE ABLE TO GET THE ABSOLUTE PRACTICAL IDEA . WITH HER HELP AND CONTINOUS GUIDENCE WE WERE ABLE TO COMPLETE THIS PROJECT, WE HOPE THAT WE ARE ABLE TO MAKE THIS PROJECT UPTO HER EXPECTATIONS . THANK YOU !
  • 5. A time series is a sequence of DATA POINTS, measured typically at successive points in time spaced at uniform time intervals.  Time series analysis comprises methods for analyzing time series data in order to extract meaningful statistics and other characteristics of the data.  Examples of data could be: stock market prices, currency values, item prices, daily temperatures, weekly rainfall, population growth ETC.
  • 6. COMPONENTS OF TIME SERIES • RANDOM• CYCLICAL • TREND• SEASONAL ANALYSIS OF SERIESTIME
  • 7.
  • 8. MONT HS 1996 1997 1998 1999 2000 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010 2011 2012 2013 2014 JAN 97.861 1598 102.46 2175 108.71 2753 102.89 9106 112.91 5022 104.21 599 128.20 5549 123.21 29685 93.294 27368 100.03 885 100.54 11201 111.20 8917 102.77 92365 107.46 66035 101.48 0888 96.416 92951 98.936 8017 101.77 97778 FEB 104.05 7193 95.791 333 109.14 4706 96.789 4195 92.745 7724 116.69 1027 102.45 8813 92.310 7854 115.70 16164 115.97 20052 96.670 78553 105.61 16624 101.88 2193 97.901 36545 90.115 30764 120.46 66422 106.57 8335 109.27 29624 102.36 07515 MAR 109.18 8206 103.16 9179 103.46 0856 108.82 9864 92.456 5036 136.26 0039 129.85 1304 125.36 3323 112.47 45804 149.39 65192 98.466 14564 96.379 27348 117.32 4576 110.51 45735 97.262 60455 96.325 25764 103.07 33073 110.80 0654 104.82 27466 APR 111.46 7358 107.52 3474 108.68 5963 101.70 5941 112.80 5 113.50 192 98.107 838 110.55 6573 91.890 61965 105.94 28705 98.945 42937 105.48 47536 100.23 96874 106.78 47235 104.19 07575 103.34 68631 102.53 18664 107.97 1589 104.79 88516 MAY 98.354 7344 104.20 0004 101.10 8533 99.353 67 121.78 7312 116.61 3733 109.72 9608 97.857 1429 101.61 01616 93.251 7426 99.982 50722 103.62 21724 106.80 62445 98.200 15036 106.02 97769 94.941 939 91.850 67263 107.80 42611 98.593 67805 JUN 107.49 1011 93.535 968 101.96 9916 109.04 6708 103.76 3807 113.10 2922 99.993 7058 105.02 7737 105.50 78774 85.306 84141 83.210 23757 105.46 88557 107.34 16357 91.880 57282 113.89 57628 109.56 34916 126.05 48007 109.52 11966 99.949 69939 JUL 94.347 5539 117.22 5696 118.64 9883 95.010 734 94.206 1948 115.93 8644 102.83 2549 104.19 9099 107.96 68122 80.100 35413 110.29 6768 122.14 59576 101.22 02795 87.653 77641 108.41 94228 106.01 92056 106.54 93933 96.853 97141 93.826 68712 AUG 99.962 0817 110.86 5179 93.345 3668 106.97 1995 97.645 4776 81.477 5583 97.571 4264 105.80 9378 94.106 701 101.16 33653 113.13 18083 107.75 94356 79.056 91875 116.90 47752 87.478 59737 97.660 46358 95.589 85776 106.20 56848 98.100 99101 SEP 100.22 1906 95.734 1079 98.472 7703 95.834 3489 92.962 3777 73.611 3589 98.287 3275 98.712 8089 96.334 93304 98.894 90362 105.75 201 83.843 29843 81.633 60869 123.27 66146 91.882 94875 125.93 82608 103.14 30662 94.030 11396 100.37 23134 OCT 89.644 6009 90.192 4588 86.763 1147 109.77 8531 104.14 8502 73.350 7636 98.021 3187 106.78 9359 102.20 79219 108.82 60817 117.91 08385 94.409 13759 98.469 64728 111.80 07663 103.77 03587 86.422 74926 97.997 78197 89.063 33726 94.957 39465 NOV 100.27 2324 84.094 2712 98.900 6928 65.709 7627 95.885 1095 110.00 1652 77.619 3267 79.050 4096 77.653 06122 107.89 92566 89.876 44788 107.30 52098 93.791 1478 100.15 61673 75.792 58414 66.006 58468 86.337 36045 76.810 46066 98.049 58 DEC 91.345 0809 85.049 8819 89.650 6632 99.618 0627 84.846 6544 91.364 8069 89.505 0336 88.194 8017 95.916 62706 96.576 58067 85.144 77189 88.540 69045 89.263 36513 87.800 69473 87.920 08259 111.16 11531 89.519 86208 96.603 13316 107.15 44987
  • 11. SECULAR TREND • The component responsible for the general behaviour of time series is called trend • It is a long term tendency of any particular activity to grow or to decline. • Trend may be upward or downward. • Linear or non linear trend. RANDOM COMPONENT •Random, irregular, erratic in nature •Cannot be foreseen •No reasons , no causes can be attributed •Causes- strikes,fire,femines etc
  • 12. PERIODIC COMPONENT PERODIC MOVEMENT RECCUR AFTER A TIME PERIOD OF LESS THAN ONE YEAR THE PERIOD OF OSCCILATION IS MORE THAN ONE YEAR THE CYLCES CAN BE OF DIFFERENT INTENSITY AND PERIODICITY
  • 13. THERE ARE TWO TYPES OF MODELS ADDITIVE MODEL • This is used when the components are independent • Yt = Tt + St + Ct + Rt MULTIPLICATIVE MODEL • This used when components are inter-dependent. • Yt = Tt * St* Ct* Rt • logYt = LogTt + LogSt + LogCt + LogRt
  • 14. Advantages of ANALYSING TIME SERIES . • Understanding the phenomenon under consideration • Gaining knowledge about the Past behaviour. • Evaluate Current behaviour of the time series. • Preparing and projecting the future of time series.
  • 15. METHODS FOR MEASURING TRENDS  Free hand curve method • Plot the given T.S on a graph taking a time variable t on X axis . • Join the plotted points with dotted lines • Draw a smooth line by the inspection of above graph  Method of semi averages • Divide the time series into equal halves with respect to time • Calculate the average of each halve • Semi averages are plotted against the mid points • Join the two averages.
  • 16. METHOD OF MOVING AVERAGES  Moving average represents the central tendency of data in parts. The extent of moving average is determined by the period of oscillation whenever the oscillatory movement is regular or average of period of oscillations when it is irregular.  It is appropriate to use this method when • Trend is approximately linear. • Oscillatory movement is regular.
  • 17.  METHOD OF FITTING MATHEMATICAL CURVES There are many mathematical curves that can be fitted to a time series data. An examination of the plotted data often provides an adequate basis for deciding upon which type of trend to use. The different types of curves are • A straight line • Second degree parabola • Kth degree polynomial • Exponential curves • Growth curves  Modified exponential curve  Gompertz curve  Logistic curve
  • 18. Months yt log yt Δyt log10 yt Δ(log yt) Δ2(log yt) Δyt/Δyt-1 Δ(log yt)/Δ(log yt-1) Sep-95 537.550 6.288 2.730 Oct-95 546.210 6.304 8.660 2.737 0.007 1.003 Nov-95 564.240 6.336 18.030 2.751 0.014 0.007 2.032 1.005 Dec-95 443.230 6.095 -121.010 2.647 -0.105 -0.119 -7.433 0.962
  • 19. Months yt log yt Δyt log10 yt Δ(log yt) Δ2(log yt) Δyt/Δyt-1 Δ(log yt)/Δ(log yt-1) Jan-96 417.530 6.035 -25.700 2.621 -0.026 0.079 0.247 0.990 Feb-96 434.470 6.075 16.940 2.638 0.017 0.043 -0.666 1.007 Mar-96 474.390 6.163 39.920 2.676 0.038 0.021 2.210 1.014 Apr-96 528.790 6.271 54.400 2.723 0.047 0.009 1.235 1.018 May-96 520.090 6.255 -8.700 2.716 -0.007 -0.054 -0.153 0.997 Jun-96 559.050 6.327 38.960 2.747 0.031 0.039 -4.354 1.012 Jul-96 527.450 6.269 -31.600 2.722 -0.025 -0.057 -0.805 0.991 Aug-96 527.250 6.268 -0.200 2.722 0.000 0.025 0.007 1.000 Sep-96 528.420 6.271 1.170 2.723 0.001 0.001 -5.845 1.000 Oct-96 473.700 6.161 -54.720 2.676 -0.047 -0.048 -49.317 0.983 Nov-96 474.990 6.164 1.290 2.677 0.001 0.049 -0.025 1.000 Dec-96 433.880 6.073 -41.110 2.637 -0.039 -0.040 -33.287 0.985
  • 20. Months yt log yt Δyt log10 yt Δ(log yt) Δ2(log yt) Δyt/Δyt-1 Δ(log yt)/Δ(log yt-1) Jan-97 424.600 6.052 -9.280 2.628 -0.009 0.030 0.239 0.996 Feb-97 406.730 6.009 -17.870 2.609 -0.019 -0.009 1.989 0.993 Mar-97 419.620 6.040 12.890 2.623 0.014 0.032 -0.726 1.005 Apr-97 451.190 6.113 31.570 2.654 0.032 0.018 2.325 1.012 May-97 470.140 6.154 18.950 2.672 0.018 -0.014 0.567 1.007 Jun-97 439.750 6.087 -30.390 2.643 -0.029 -0.047 -1.624 0.989 Jul-97 515.500 6.246 75.750 2.712 0.069 0.098 -2.378 1.026 Aug-97 571.510 6.349 56.010 2.757 0.045 -0.024 0.649 1.017 Sep-97 547.130 6.305 -24.380 2.738 -0.019 -0.064 -0.423 0.993 Oct-97 493.470 6.202 -53.660 2.693 -0.045 -0.026 2.368 0.984 Nov-97 414.980 6.029 -78.490 2.618 -0.075 -0.030 1.678 0.972 Dec-97 352.940 5.867 -62.040 2.548 -0.070 0.005 0.935 0.973
  • 21. Months yt log yt Δyt log10 yt Δ(log yt) Δ2(log yt) Δyt/Δyt-1 Δ(log yt)/Δ(log yt-1) Jan-98 361.630 5.891 8.690 2.558 0.011 0.081 -0.150 1.004 Feb-98 394.700 5.979 33.070 2.596 0.038 0.027 3.598 1.015 Mar-98 408.360 6.013 13.660 2.611 0.015 -0.023 0.389 1.006 Apr-98 443.830 6.096 35.470 2.647 0.036 0.021 2.448 1.014 May-98 448.750 6.107 4.920 2.652 0.005 -0.031 0.132 1.002 Jun-98 457.590 6.127 8.840 2.660 0.008 0.004 1.770 1.003 Jul-98 542.930 6.298 85.340 2.735 0.074 0.066 8.766 1.028 Aug-98 506.800 6.229 -36.130 2.705 -0.030 -0.104 -0.403 0.989 Sep-98 499.060 6.213 -7.740 2.698 -0.007 0.023 0.223 0.998 Oct-98 433.000 6.071 -66.060 2.636 -0.062 -0.055 9.226 0.977 Nov-98 428.240 6.060 -4.760 2.632 -0.005 0.057 0.078 0.998 Dec-98 383.920 5.951 -44.320 2.584 -0.047 -0.043 9.883 0.982
  • 22. Months yt log yt Δyt log10 yt Δ(log yt) Δ2(log yt) Δyt/Δyt-1 Δ(log yt)/Δ(log yt-1) Jan-99 417.370 6.035 33.450 2.621 0.036 0.084 -0.765 1.014 Feb-99 403.970 6.002 -13.400 2.606 -0.014 -0.050 -0.391 0.995 Mar-99 439.640 6.087 35.670 2.643 0.037 0.051 -2.593 1.014 Apr-99 447.140 6.104 7.500 2.650 0.007 -0.029 0.200 1.003 May-99 444.250 6.097 -2.890 2.648 -0.003 -0.010 -0.383 0.999 Jun-99 484.440 6.184 40.190 2.685 0.038 0.040 -13.356 1.014 Jul-99 460.270 6.132 -24.170 2.663 -0.022 -0.060 -0.591 0.992 Aug-99 492.360 6.200 32.090 2.692 0.029 0.051 -1.317 1.011 Sep-99 471.850 6.157 -20.510 2.674 -0.018 -0.048 -0.631 0.993 Oct-99 517.990 6.251 46.140 2.714 0.041 0.059 -2.193 1.015 Nov-99 340.370 5.831 -177.620 2.532 -0.182 -0.223 -4.501 0.933 Dec-99 339.070 5.827 -1.300 2.530 -0.002 0.181 0.009 0.999
  • 23. Months yt log yt Δyt log10 yt Δ(log yt) Δ2(log yt) Δyt/Δyt-1 Δ(log yt)/Δ(log yt-1) Jan-00 348.900 5.855 9.830 2.543 0.012 0.014 -7.468 1.005 Feb-00 323.590 5.780 -25.310 2.510 -0.033 -0.045 -2.635 0.987 Mar-00 299.180 5.702 -24.410 2.476 -0.034 -0.001 1.041 0.986 Apr-00 337.490 5.822 38.310 2.528 0.052 0.086 -1.536 1.021 May-00 411.020 6.019 73.530 2.614 0.086 0.033 1.636 1.034 Jun-00 426.490 6.056 15.470 2.630 0.016 -0.070 0.187 1.006 Jul-00 401.780 5.997 -24.710 2.604 -0.026 -0.042 -1.615 0.990 Aug-00 392.320 5.973 -9.460 2.594 -0.010 0.016 0.399 0.996 Sep-00 364.710 5.900 -27.610 2.562 -0.032 -0.021 3.063 0.988 Oct-00 379.840 5.940 15.130 2.580 0.018 0.049 -0.557 1.007 Nov-00 364.210 5.898 -15.630 2.561 -0.018 -0.036 -1.034 0.993 Dec-00 309.020 5.734 -55.190 2.490 -0.071 -0.053 3.911 0.972
  • 24. Months yt log yt Δyt log10 yt Δ(log yt) Δ2(log yt) Δyt/Δyt-1 Δ(log yt)/Δ(log yt-1) Jan-01 348.930 5.855 39.910 2.543 0.053 0.124 -0.739 1.021 Feb-01 407.170 6.010 58.240 2.610 0.067 0.014 1.271 1.026 Mar-01 554.810 6.319 147.640 2.744 0.134 0.067 2.004 1.051 Apr-01 629.720 6.446 74.910 2.799 0.055 -0.079 0.409 1.020 May-01 734.340 6.600 104.620 2.866 0.067 0.012 1.214 1.024 Jun-01 830.560 6.723 96.220 2.919 0.053 -0.013 0.801 1.019 Jul-01 962.940 6.871 132.380 2.984 0.064 0.011 1.201 1.022 Aug-01 784.580 6.666 -178.360 2.895 -0.089 -0.153 -1.385 0.970 Sep-01 577.540 6.359 -207.040 2.762 -0.133 -0.044 1.496 0.954 Oct-01 423.630 6.049 -153.910 2.627 -0.135 -0.002 1.012 0.951 Nov-01 466.000 6.145 42.370 2.668 0.041 0.176 -0.308 1.016 Dec-01 425.760 6.055 -40.240 2.629 -0.039 -0.081 -0.947 0.985
  • 25. Months yt log yt Δyt log10 yt Δ(log yt) Δ2(log yt) Δyt/Δyt-1 Δ(log yt)/Δ(log yt-1) Jan-02 443.710 6.096 17.950 2.647 0.018 0.057 -0.457 1.007 Feb-02 454.620 6.120 10.910 2.658 0.011 -0.007 0.588 1.004 Mar-02 590.330 6.381 135.710 2.771 0.113 0.103 10.754 1.043 Apr-02 579.160 6.362 -11.170 2.763 -0.008 -0.122 -0.073 0.997 May-02 635.510 6.455 56.350 2.803 0.040 0.049 -4.860 1.015 Jun-02 635.470 6.455 -0.040 2.803 0.000 -0.040 -0.001 1.000 Jul-02 653.470 6.483 18.000 2.815 0.012 0.012 -443.759 1.004 Aug-02 637.600 6.458 -15.870 2.805 -0.011 -0.023 -0.880 0.996 Sep-02 626.680 6.441 -10.920 2.797 -0.008 0.003 0.703 0.997 Oct-02 614.280 6.421 -12.400 2.788 -0.009 -0.001 1.157 0.997 Nov-02 476.800 6.168 -137.480 2.678 -0.110 -0.101 12.677 0.961 Dec-02 426.760 6.057 -50.040 2.630 -0.048 0.062 0.438 0.982
  • 26. Months yt log yt Δyt log10 yt Δ(log yt) Δ2(log yt) Δyt/Δyt-1 Δ(log yt)/Δ(log yt-1) Jan-03 547.130 6.305 120.370 2.738 0.108 0.156 -2.241 1.041 Feb-03 505.060 6.225 -42.070 2.703 -0.035 -0.143 -0.322 0.987 Mar-03 633.160 6.451 128.100 2.802 0.098 0.133 -2.825 1.036 Apr-03 700.000 6.552 66.840 2.845 0.044 -0.055 0.444 1.016 May-03 685.000 6.530 -15.000 2.836 -0.009 -0.053 -0.216 0.997 Jun-03 719.440 6.579 34.440 2.857 0.021 0.031 -2.265 1.008 Jul-03 749.650 6.620 30.210 2.875 0.018 -0.003 0.839 1.006 Aug-03 793.200 6.677 43.550 2.899 0.025 0.007 1.373 1.009 Sep-03 782.990 6.664 -10.210 2.894 -0.006 -0.030 -0.229 0.998 Oct-03 836.150 6.730 53.160 2.922 0.029 0.034 -5.070 1.010 Nov-03 660.980 6.494 -175.170 2.820 -0.102 -0.131 -3.579 0.965 Dec-03 582.950 6.369 -78.030 2.766 -0.055 0.048 0.534 0.981
  • 27. Months yt log yt Δyt log10 yt Δ(log yt) Δ2(log yt) Δyt/Δyt-1 Δ(log yt)/Δ(log yt-1) Jan-04 718.270 6.578 135.320 2.856 0.091 0.145 -1.662 1.033 Feb-04 831.050 6.723 112.780 2.920 0.063 -0.027 0.699 1.022 Mar-04 934.720 6.841 103.670 2.971 0.051 -0.012 0.806 1.017 Apr-04 858.920 6.756 -75.800 2.934 -0.037 -0.088 -0.719 0.988 May-04 872.750 6.772 13.830 2.941 0.007 0.044 -0.189 1.002 Jun-04 920.820 6.826 48.070 2.964 0.023 0.016 3.357 1.008 Jul-04 994.180 6.903 73.360 2.997 0.033 0.010 1.430 1.011 Aug-04 935.590 6.842 -58.590 2.971 -0.026 -0.060 -0.792 0.991 Sep-04 901.300 6.805 -34.290 2.955 -0.016 0.010 0.615 0.995 Oct-04 921.200 6.826 19.900 2.964 0.009 0.026 -0.585 1.003 Nov-04 715.340 6.573 -205.860 2.855 -0.110 -0.119 -11.581 0.963 Dec-04 686.130 6.532 -29.210 2.836 -0.018 0.092 0.165 0.994
  • 28. Months yt log yt Δyt log10 yt Δ(log yt) Δ2(log yt) Δyt/Δyt-1 Δ(log yt)/Δ(log yt-1) Jan-05 640.120 6.462 -46.010 2.806 -0.030 -0.012 1.665 0.989 Feb-05 742.360 6.611 102.240 2.871 0.064 0.094 -2.135 1.023 Mar-05 1109.060 7.012 366.700 3.045 0.174 0.110 2.709 1.061 Apr-05 1174.970 7.070 65.910 3.070 0.025 -0.149 0.144 1.008 May-05 1095.680 7.000 -79.290 3.040 -0.030 -0.055 -1.210 0.990 Jun-05 934.690 6.841 -160.990 2.971 -0.069 -0.039 2.275 0.977 Jul-05 748.690 6.619 -186.000 2.874 -0.096 -0.027 1.396 0.968 Aug-05 757.400 6.631 8.710 2.879 0.005 0.101 -0.052 1.002 Sep-05 749.030 6.619 -8.370 2.874 -0.005 -0.010 -0.961 0.998 Oct-05 815.140 6.704 66.110 2.911 0.037 0.042 -7.611 1.013 Nov-05 879.530 6.780 64.390 2.944 0.033 -0.004 0.899 1.011 Dec-05 849.420 6.745 -30.110 2.929 -0.015 -0.048 -0.458 0.995
  • 29. Months yt log yt Δyt log10 yt Δ(log yt) Δ2(log yt) Δyt/Δyt-1 Δ(log yt)/Δ(log yt-1) Jan-06 849.750 6.746 0.330 2.929 0.000 0.015 -0.011 1.000 Feb-06 821.460 6.712 -28.290 2.915 -0.015 -0.015 -87.170 0.995 Mar-06 808.860 6.696 -12.600 2.908 -0.007 0.008 0.457 0.998 Apr-06 800.330 6.686 -8.530 2.903 -0.005 0.002 0.686 0.998 May-06 800.190 6.686 -0.140 2.903 0.000 0.005 0.017 1.000 Jun-06 665.840 6.502 -134.350 2.823 -0.080 -0.080 1050.626 0.973 Jul-06 734.400 6.600 68.560 2.866 0.043 0.122 -0.533 1.015 Aug-06 830.840 6.723 96.440 2.920 0.054 0.011 1.259 1.019 Sep-06 878.630 6.779 47.790 2.944 0.024 -0.029 0.453 1.008 Oct-06 1036.000 6.944 157.370 3.015 0.072 0.047 2.946 1.024 Nov-06 931.120 6.837 -104.880 2.969 -0.046 -0.118 -0.648 0.985 Dec-06 792.800 6.676 -138.320 2.899 -0.070 -0.023 1.507 0.976
  • 30. Months yt log yt Δyt log10 yt Δ(log yt) Δ2(log yt) Δyt/Δyt-1 Δ(log yt)/Δ(log yt-1) Jan-07 797.090 6.682 4.290 2.902 0.002 0.072 -0.034 1.001 Feb-07 841.820 6.736 44.730 2.925 0.024 0.021 10.117 1.008 Mar-07 811.340 6.699 -30.480 2.909 -0.016 -0.040 -0.675 0.995 Apr-07 855.840 6.753 44.500 2.932 0.023 0.039 -1.448 1.008 May-07 886.840 6.788 31.000 2.948 0.015 -0.008 0.666 1.005 Jun-07 935.340 6.842 48.500 2.971 0.023 0.008 1.496 1.008 Jul-07 1142.480 7.042 207.140 3.058 0.087 0.064 3.757 1.029 Aug-07 1231.130 7.116 88.650 3.090 0.032 -0.054 0.374 1.011 Sep-07 1032.220 6.940 -198.910 3.014 -0.077 -0.109 -2.358 0.975 Oct-07 974.510 6.883 -57.710 2.989 -0.025 0.052 0.326 0.992 Nov-07 1045.700 6.953 71.190 3.019 0.031 0.056 -1.226 1.010 Dec-07 925.870 6.831 -119.830 2.967 -0.053 -0.083 -1.726 0.982
  • 31. Months yt log yt Δyt log10 yt Δ(log yt) Δ2(log yt) Δyt/Δyt-1 Δ(log yt)/Δ(log yt-1) Jan-08 1029.650 6.938 103.780 3.013 0.046 0.099 -0.873 1.016 Feb-08 1049.030 6.956 19.380 3.021 0.008 -0.038 0.176 1.003 Mar-08 1230.770 7.116 181.740 3.090 0.069 0.061 8.568 1.023 Apr-08 1233.720 7.119 2.950 3.091 0.001 -0.068 0.015 1.000 May-08 1317.690 7.184 83.970 3.120 0.029 0.028 27.505 1.009 Jun-08 1414.430 7.255 96.740 3.151 0.031 0.002 1.076 1.010 Jul-08 1431.690 7.267 17.260 3.156 0.005 -0.026 0.171 1.002 Aug-08 1131.850 7.032 -299.840 3.054 -0.102 -0.107 -19.375 0.968 Sep-08 923.970 6.829 -207.880 2.966 -0.088 0.014 0.864 0.971 Oct-08 909.830 6.814 -14.140 2.959 -0.007 0.081 0.076 0.998 Nov-08 853.340 6.750 -56.490 2.931 -0.028 -0.021 4.156 0.991 Dec-08 761.720 6.636 -91.620 2.882 -0.049 -0.021 1.772 0.983
  • 32. Months yt log yt Δyt log10 yt Δ(log yt) Δ2(log yt) Δyt/Δyt-1 Δ(log yt)/Δ(log yt-1) Jan-09 782.890 6.664 21.170 2.894 0.012 0.061 -0.241 1.004 Feb-09 766.460 6.642 -16.430 2.884 -0.009 -0.021 -0.774 0.997 Mar-09 847.050 6.742 80.590 2.928 0.043 0.053 -4.714 1.015 Apr-09 904.520 6.808 57.470 2.956 0.029 -0.015 0.657 1.010 May-09 888.240 6.790 -16.280 2.949 -0.008 -0.036 -0.277 0.997 Jun-09 816.120 6.705 -72.120 2.912 -0.037 -0.029 4.662 0.988 Jul-09 715.360 6.573 -100.760 2.855 -0.057 -0.020 1.556 0.980 Aug-09 836.290 6.730 120.930 2.922 0.068 0.125 -1.185 1.024 Sep-09 1030.950 6.939 194.660 3.013 0.091 0.023 1.340 1.031 Oct-09 1152.610 7.051 121.660 3.062 0.048 -0.042 0.533 1.016 Nov-09 1154.410 7.052 1.800 3.062 0.001 -0.048 0.014 1.000 Dec-09 1013.580 6.922 -140.830 3.006 -0.057 -0.057 -83.374 0.982
  • 33. Months yt log yt Δyt log10 yt Δ(log yt) Δ2(log yt) Δyt/Δyt-1 Δ(log yt)/Δ(log yt-1) Jan-10 1089.260 6.994 75.680 3.037 0.031 0.088 -0.553 1.010 Feb-10 981.590 6.890 -107.670 2.992 -0.045 -0.076 -1.445 0.985 Mar-10 954.720 6.862 -26.870 2.980 -0.012 0.033 0.267 0.996 Apr-10 994.730 6.903 40.010 2.998 0.018 0.030 -1.479 1.006 May-10 1054.710 6.962 59.980 3.023 0.025 0.008 1.426 1.008 Jun-10 1201.270 7.092 146.560 3.080 0.057 0.031 2.222 1.019 Jul-10 1302.410 7.173 101.140 3.115 0.035 -0.021 0.621 1.011 Aug-10 1139.330 7.039 -163.080 3.057 -0.058 -0.093 -1.655 0.981 Sep-10 1046.850 6.954 -92.480 3.020 -0.037 0.021 0.633 0.988 Oct-10 1086.320 6.991 39.470 3.036 0.016 0.053 -0.437 1.005 Nov-10 823.350 6.714 -262.970 2.916 -0.120 -0.136 -7.489 0.960 Dec-10 723.890 6.585 -99.460 2.860 -0.056 0.064 0.464 0.981
  • 34. Months yt log yt Δyt log10 yt Δ(log yt) Δ2(log yt) Δyt/Δyt-1 Δ(log yt)/Δ(log yt-1) Jan-11 734.610 6.600 10.720 2.866 0.006 0.062 -0.114 1.002 Feb-11 884.960 6.786 150.350 2.947 0.081 0.074 12.667 1.028 Mar-11 852.440 6.749 -32.520 2.931 -0.016 -0.097 -0.201 0.994 Apr-11 880.970 6.782 28.530 2.945 0.014 0.031 -0.879 1.005 May-11 836.410 6.730 -44.560 2.922 -0.023 -0.037 -1.577 0.992 Jun-11 916.400 6.821 79.990 2.962 0.040 0.062 -1.760 1.014 Jul-11 971.560 6.880 55.160 2.987 0.025 -0.014 0.640 1.009 Aug-11 948.830 6.856 -22.730 2.977 -0.010 -0.036 -0.405 0.997 Sep-11 1194.940 7.087 246.110 3.077 0.100 0.110 -9.742 1.034 Oct-11 1032.700 6.941 -162.240 3.014 -0.063 -0.164 -0.633 0.979 Nov-11 681.650 6.525 -351.050 2.834 -0.180 -0.117 2.847 0.940 Dec-11 757.730 6.631 76.080 2.880 0.046 0.226 -0.255 1.016
  • 35. Months yt log yt Δyt log10 yt Δ(log yt) Δ2(log yt) Δyt/Δyt-1 Δ(log yt)/Δ(log yt-1) Jan-12 730.580 6.595 -27.150 2.864 -0.016 -0.062 -0.345 0.994 Feb-12 778.640 6.658 48.060 2.891 0.028 0.044 -1.746 1.010 Mar-12 802.570 6.689 23.930 2.904 0.013 -0.015 0.475 1.005 Apr-12 822.890 6.714 20.320 2.915 0.011 -0.002 0.826 1.004 May-12 755.830 6.629 -67.060 2.878 -0.037 -0.048 -3.400 0.987 Jun-12 952.760 6.860 196.930 2.979 0.101 0.137 -2.724 1.035 Jul-12 1015.160 6.924 62.400 3.007 0.028 -0.073 0.274 1.009 Aug-12 970.390 6.878 -44.770 2.987 -0.020 -0.047 -0.711 0.993 Sep-12 1000.890 6.909 30.500 3.000 0.013 0.033 -0.686 1.004 Oct-12 980.850 6.889 -20.040 2.992 -0.009 -0.022 -0.654 0.997 Nov-12 846.840 6.742 -134.010 2.928 -0.064 -0.055 7.264 0.979 Dec-12 758.090 6.631 -88.750 2.880 -0.048 0.016 0.754 0.984
  • 36. Months yt log yt Δyt log10 yt Δ(log yt) Δ2(log yt) Δyt/Δyt-1 Δ(log yt)/Δ(log yt-1) Jan-13 750.030 6.621 -8.060 2.875 -0.005 0.043 0.097 0.998 Feb-13 819.580 6.709 69.550 2.914 0.039 0.043 -8.296 1.013 Mar-13 908.100 6.812 88.520 2.958 0.045 0.006 1.157 1.015 Apr-13 980.490 6.889 72.390 2.991 0.033 -0.011 0.748 1.011 May-13 1057.010 6.964 76.520 3.024 0.033 -0.001 0.980 1.011 Jun-13 1157.650 7.055 100.640 3.064 0.039 0.007 1.210 1.013 Jul-13 1121.230 7.023 -36.420 3.050 -0.014 -0.053 -0.351 0.995 Aug-13 1190.810 7.083 69.580 3.076 0.026 0.040 -1.883 1.009 Sep-13 1119.720 7.022 -71.090 3.049 -0.027 -0.053 -1.022 0.991 Oct-13 997.260 6.906 -122.460 2.999 -0.050 -0.024 1.882 0.984 Nov-13 766.000 6.642 -231.260 2.884 -0.115 -0.064 2.278 0.962 Dec-13 739.980 6.607 -26.020 2.869 -0.015 0.100 0.131 0.995
  • 37. Months yt log yt Δyt log10 yt Δ(log yt) Δ2(log yt) Δyt/Δyt-1 Δ(log yt)/Δ(log yt-1) Jan-14 753.150 6.625 13.170 2.877 0.008 0.023 -0.510 1.003 Feb-14 770.930 6.648 17.780 2.887 0.010 0.002 1.323 1.004 Mar-14 808.110 6.695 37.180 2.907 0.020 0.010 2.019 1.007 Apr-14 846.890 6.742 38.780 2.928 0.020 0.000 0.995 1.007 May-14 834.980 6.728 -11.910 2.922 -0.006 -0.027 -0.302 0.998 Jun-14 834.560 6.728 -0.420 2.921 0.000 0.006 0.036 1.000 Jul-14 783.040 6.664 -51.520 2.894 -0.028 -0.027 126.648 0.991 Aug-14 768.170 6.645 -14.870 2.885 -0.008 0.019 0.301 0.997 Sep-14 771.030 6.648 2.860 2.887 0.002 0.010 -0.194 1.001 Oct-14 732.150 6.597 -38.880 2.865 -0.022 -0.024 -13.923 0.992 Nov-14 717.870 6.577 -14.280 2.856 -0.009 0.014 0.381 0.997 Dec-14 769.230 6.646 51.360 2.886 0.030 0.039 -3.508 1.011
  • 38. Months yt log yt Δyt log10 yt Δ(log yt) Δ2(log yt) Δyt/Δyt-1 Δ(log yt)/Δ(log yt-1) Jan-15 758.020 6.631 -11.210 2.880 -0.006 -0.036 -0.212 0.998 Feb-15 704.170 6.558 -53.850 2.848 -0.032 -0.026 5.020 0.989 Mar-15 633.290 6.452 -70.880 2.802 -0.046 -0.014 1.440 0.984 Apr-15 612.130 6.418 -21.160 2.787 -0.015 0.031 0.320 0.995 May-15 608.640 6.412 -3.490 2.784 -0.002 0.012 0.168 0.999 Jun-15 629.900 6.446 21.260 2.799 0.015 0.017 -6.005 1.005 Jul-15 640.110 6.462 10.210 2.806 0.007 -0.008 0.468 1.002 Aug-15 684.280 6.529 44.170 2.835 0.029 0.022 4.150 1.010 Sep-15 631.910 6.449 -52.370 2.801 -0.035 -0.064 -1.193 0.988
  • 39. Gompertz curve can be fitted by two method. These are :  Method of 3 selected points  Method of partial sums : In this method the time series data is divided into 3 equal parts. For this purpose one or two values may be ignored from the data depending upon the relevance of future or past data. Now the sums of values of 3 equal parts namely S1 ,S2 and S3 are used to estimate values of k , A and b as shown below.
  • 40. S1 490.6460564 S2 538.1634728 S3 541.2514735 K 6.768326256 A -1.889290886 b 0.966407534 k 869.8547604 a 0.151178974
  • 41. Months K+Abt Trend Values Jan-96 5.176 176.929 Feb-96 5.229 186.652 Mar-96 5.281 196.556 Apr-96 5.331 206.627 May-96 5.379 216.849 Jun-96 5.426 227.208 Jul-96 5.471 237.689 Aug-96 5.515 248.276 Sep-96 5.557 258.957 Oct-96 5.597 269.714 Nov-96 5.637 280.535 Dec-96 5.675 291.405 Months K+Abt Trend Values Sep-95 4.943 140.120 Oct-95 5.004 148.983 Nov-95 5.063 158.081 Dec-95 5.120 167.401
  • 42. Months K+Abt Trend Values Jan-97 5.711 302.309 Feb-97 5.747 313.235 Mar-97 5.781 324.169 Apr-97 5.814 335.098 May-97 5.846 346.009 Jun-97 5.877 356.892 Jul-97 5.907 367.734 Aug-97 5.936 378.525 Sep-97 5.964 389.254 Oct-97 5.991 399.912 Nov-97 6.017 410.489 Dec-97 6.043 420.976
  • 43. Months K+Abt Trend Values Jan-98 6.067 431.365 Feb-98 6.091 441.649 Mar-98 6.113 451.821 Apr-98 6.135 461.873 May-98 6.157 471.800 Jun-98 6.177 481.596 Jul-98 6.197 491.257 Aug-98 6.216 500.777 Sep-98 6.235 510.152 Oct-98 6.253 519.379 Nov-98 6.270 528.455 Dec-98 6.287 537.376
  • 44. Months K+Abt Trend Values Jan-99 6.303 546.141 Feb-99 6.319 554.748 Mar-99 6.334 563.194 Apr-99 6.348 571.478 May-99 6.362 579.600 Jun-99 6.376 587.559 Jul-99 6.389 595.354 Aug-99 6.402 602.986 Sep-99 6.414 610.454 Oct-99 6.426 617.760 Nov-99 6.438 624.902 Dec-99 6.449 631.884
  • 45. Months K+Abt Trend Values Jan-00 6.459 638.705 Feb-00 6.470 645.367 Mar-00 6.480 651.871 Apr-00 6.490 658.219 May-00 6.499 664.412 Jun-00 6.508 670.452 Jul-00 6.517 676.342 Aug-00 6.525 682.084 Sep-00 6.533 687.678 Oct-00 6.541 693.129 Nov-00 6.549 698.437 Dec-00 6.556 703.605
  • 46. Months K+Abt Trend Values Jan-01 6.563 708.637 Feb-01 6.570 713.533 Mar-01 6.577 718.297 Apr-01 6.583 722.931 May-01 6.590 727.438 Jun-01 6.596 731.821 Jul-01 6.601 736.081 Aug-01 6.607 740.222 Sep-01 6.612 744.245 Oct-01 6.618 748.154 Nov-01 6.623 751.952 Dec-01 6.628 755.640
  • 47. Months K+Abt Trend Values Jan-02 6.632 759.222 Feb-02 6.637 762.699 Mar-02 6.641 766.075 Apr-02 6.646 769.351 May-02 6.650 772.531 Jun-02 6.654 775.616 Jul-02 6.658 778.610 Aug-02 6.661 781.513 Sep-02 6.665 784.330 Oct-02 6.668 787.062 Nov-02 6.672 789.711 Dec-02 6.675 792.279
  • 48. Months K+Abt Trend Values Jan-03 6.678 794.769 Feb-03 6.681 797.183 Mar-03 6.684 799.523 Apr-03 6.687 801.790 May-03 6.690 803.988 Jun-03 6.692 806.117 Jul-03 6.695 808.181 Aug-03 6.697 810.180 Sep-03 6.700 812.116 Oct-03 6.702 813.992 Nov-03 6.704 815.809 Dec-03 6.706 817.569
  • 49. Months K+Abt Trend Values Jan-04 6.708 819.273 Feb-04 6.710 820.924 Mar-04 6.712 822.522 Apr-04 6.714 824.069 May-04 6.716 825.567 Jun-04 6.718 827.018 Jul-04 6.720 828.422 Aug-04 6.721 829.781 Sep-04 6.723 831.097 Oct-04 6.724 832.370 Nov-04 6.726 833.603 Dec-04 6.727 834.796
  • 50. Months K+Abt Trend Values Jan-05 6.729 835.950 Feb-05 6.730 837.068 Mar-05 6.731 838.149 Apr-05 6.732 839.195 May-05 6.734 840.207 Jun-05 6.735 841.186 Jul-05 6.736 842.134 Aug-05 6.737 843.051 Sep-05 6.738 843.937 Oct-05 6.739 844.795 Nov-05 6.740 845.625 Dec-05 6.741 846.428
  • 51. Months K+Abt Trend Values Jan-06 6.742 847.205 Feb-06 6.743 847.956 Mar-06 6.744 848.683 Apr-06 6.745 849.385 May-06 6.745 850.065 Jun-06 6.746 850.723 Jul-06 6.747 851.358 Aug-06 6.748 851.973 Sep-06 6.748 852.568 Oct-06 6.749 853.143 Nov-06 6.750 853.699 Dec-06 6.750 854.237
  • 52. Months K+Abt Trend Values Jan-07 6.751 854.757 Feb-07 6.751 855.260 Mar-07 6.752 855.746 Apr-07 6.753 856.216 May-07 6.753 856.671 Jun-07 6.754 857.111 Jul-07 6.754 857.536 Aug-07 6.755 857.947 Sep-07 6.755 858.344 Oct-07 6.755 858.728 Nov-07 6.756 859.100 Dec-07 6.756 859.459
  • 53. Months K+Abt Trend Values Jan-08 6.757 859.806 Feb-08 6.757 860.142 Mar-08 6.757 860.466 Apr-08 6.758 860.780 May-08 6.758 861.083 Jun-08 6.759 861.376 Jul-08 6.759 861.660 Aug-08 6.759 861.934 Sep-08 6.759 862.199 Oct-08 6.760 862.455 Nov-08 6.760 862.703 Dec-08 6.760 862.942
  • 54. Months K+Abt Trend Values Jan-09 6.761 863.173 Feb-09 6.761 863.397 Mar-09 6.761 863.613 Apr-09 6.761 863.822 May-09 6.762 864.024 Jun-09 6.762 864.219 Jul-09 6.762 864.408 Aug-09 6.762 864.590 Sep-09 6.762 864.767 Oct-09 6.763 864.937 Nov-09 6.763 865.102 Dec-09 6.763 865.261
  • 55. Months K+Abt Trend Values Jan-10 6.763 865.415 Feb-10 6.763 865.564 Mar-10 6.764 865.707 Apr-10 6.764 865.846 May-10 6.764 865.981 Jun-10 6.764 866.111 Jul-10 6.764 866.236 Aug-10 6.764 866.358 Sep-10 6.764 866.475 Oct-10 6.765 866.588 Nov-10 6.765 866.698 Dec-10 6.765 866.804
  • 56. Months K+Abt Trend Values Jan-11 6.765 866.906 Feb-11 6.765 867.005 Mar-11 6.765 867.100 Apr-11 6.765 867.193 May-11 6.765 867.282 Jun-11 6.765 867.368 Jul-11 6.766 867.452 Aug-11 6.766 867.532 Sep-11 6.766 867.610 Oct-11 6.766 867.686 Nov-11 6.766 867.758 Dec-11 6.766 867.829
  • 57. Months K+Abt Trend Values Jan-12 6.766 867.897 Feb-12 6.766 867.962 Mar-12 6.766 868.026 Apr-12 6.766 868.087 May-12 6.766 868.147 Jun-12 6.766 868.204 Jul-12 6.766 868.259 Aug-12 6.767 868.313 Sep-12 6.767 868.365 Oct-12 6.767 868.415 Nov-12 6.767 868.463 Dec-12 6.767 868.510
  • 58. Months K+Abt Trend Values Jan-13 6.767 868.555 Feb-13 6.767 868.598 Mar-13 6.767 868.641 Apr-13 6.767 868.681 May-13 6.767 868.721 Jun-13 6.767 868.759 Jul-13 6.767 868.796 Aug-13 6.767 868.831 Sep-13 6.767 868.866 Oct-13 6.767 868.899 Nov-13 6.767 868.931 Dec-13 6.767 868.962
  • 59. Months K+Abt Trend Values Jan-14 6.767 868.992 Feb-14 6.767 869.021 Mar-14 6.767 869.049 Apr-14 6.767 869.076 May-14 6.767 869.102 Jun-14 6.767 869.127 Jul-14 6.768 869.152 Aug-14 6.768 869.175 Sep-14 6.768 869.198 Oct-14 6.768 869.220 Nov-14 6.768 869.242 Dec-14 6.768 869.262
  • 60. Months K+Abt Trend Values Jan-15 6.768 869.282 Feb-15 6.768 869.301 Mar-15 6.768 869.320 Apr-15 6.768 869.338 May-15 6.768 869.355 Jun-15 6.768 869.372 Jul-15 6.768 869.388 Aug-15 6.768 869.404 Sep-15 6.768 869.419
  • 62.
  • 63. • Seasonal variation is measured in terms of an index, called a seasonal index. Its an average that can be used to compare actual observation relative to what it would be if there were no seasonal variations . • An index value is attached to each period of time series within a year. • The following methods are used  Method of simple averages  Ratio to trend method  Ratio to moving average method  Link relative method
  • 64. • This is the simplest method of measuring seasonal component • This method assumes that the data does not contain trend or cyclic component.
  • 65. • This method is an improvement over the simple averages method and is based on the assumption that seasonal variation for any given month is constant factor of the trend.
  • 66. • Moving averages completely eliminates the seasonal movements if the extent of the moving averages is equal to the oscillatory movements sought to be eliminated. • Some of the seasonal indices cannot be determined.
  • 67. • This method is based on averaging the link relatives. • Link relative is the value of one season expressed as a percentage of the value of the preceding season.
  • 69. Months/Years 1995 1996 1997 1998 1999 2000 2001 2002 2003 2004 2005 Jan 94.20166 97.86116 102.4622 108.7128 102.8991 112.915 104.216 128.2055 123.213 93.29427 Feb 104.0572 95.79133 109.1447 96.78942 92.74577 116.691 102.4588 92.31079 115.7016 115.972 Mar 109.1882 103.1692 103.4609 108.8299 92.4565 136.26 129.8513 125.3633 112.4746 149.3965 Apr 111.4674 107.5235 108.686 101.7059 112.805 113.5019 98.10784 110.5566 91.89062 105.9429 May 98.35473 104.2 101.1085 99.35367 121.7873 116.6137 109.7296 97.85714 101.6102 93.25174 Jun 107.491 93.53597 101.9699 109.0467 103.7638 113.1029 99.99371 105.0277 105.5079 85.30684 Jul 94.34755 117.2257 118.6499 95.01073 94.20619 115.9386 102.8325 104.1991 107.9668 80.10035 Aug 99.96208 110.8652 93.34537 106.972 97.64548 81.47756 97.57143 105.8094 94.1067 101.1634 Sep 100.2219 95.73411 98.47277 95.83435 92.96238 73.61136 98.28733 98.71281 96.33493 98.8949 Oct 101.611 89.6446 90.19246 86.76311 109.7785 104.1485 73.35076 98.02132 106.7894 102.2079 108.8261 Nov 103.3009 100.2723 84.09427 98.90069 65.70976 95.88511 110.0017 77.61933 79.05041 77.65306 107.8993 Dec 78.55345 91.34508 85.04988 89.65066 99.61806 84.84665 91.36481 89.50503 88.1948 95.91663 96.57658
  • 70. Months/Years 2006 2007 2008 2009 2010 2011 2012 2013 2014 2015 Jan 100.0389 100.5411 111.2089 102.7792 107.4666 101.4809 96.41693 98.9368 101.7798 98.5427 Feb 96.67079 105.6117 101.8822 97.90137 90.11531 120.4666 106.5783 109.273 102.3608 92.89597 Mar 98.46615 96.37927 117.3246 110.5146 97.2626 96.32526 103.0733 110.8007 104.8227 89.93425 Apr 98.94543 105.4848 100.2397 106.7847 104.1908 103.3469 102.5319 107.9716 104.7989 96.65872 May 99.98251 103.6222 106.8062 98.20015 106.0298 94.94194 91.85067 107.8043 98.59368 99.42986 Jun 83.21024 105.4689 107.3416 91.88057 113.8958 109.5635 126.0548 109.5212 99.9497 103.493 Jul 110.2968 122.146 101.2203 87.65378 108.4194 106.0192 106.5494 96.85397 93.82669 101.6209 Aug 113.1318 107.7594 79.05692 116.9048 87.4786 97.66046 95.58986 106.2057 98.10099 106.9004 Sep 105.752 83.8433 81.63361 123.2766 91.88295 125.9383 103.1431 94.03011 100.3723 92.3467 Oct 117.9108 94.40914 98.46965 111.8008 103.7704 86.42275 97.99778 89.06334 94.95739 Nov 89.87645 107.3052 93.79115 100.1562 75.79258 66.00658 86.33736 76.81046 98.04958 Dec 85.14477 88.54069 89.26337 87.80069 87.92008 111.1612 89.51986 96.60313 107.1545
  • 71. Months Avg Link Relative Chain Relative D Values Corrected CR Seasonal Indices Jan 104.3586238 100 100 87.50457237 Feb 103.2709321 103.2709321 0.60077309 102.0693859 89.31537968 Mar 109.7676881 113.3581147 1.20154618 111.5557954 97.6164217 Apr 104.6570399 118.6372473 1.80231927 116.2341549 101.7102002 May 102.5563952 121.6700842 2.40309236 118.6662187 103.8383672 Jun 103.7562891 126.2403643 3.00386545 122.6357257 107.3118674 Jul 103.2541937 130.3484703 3.60463854 126.1430587 110.380944 Aug 99.8853719 130.1990543 4.20541163 125.3928696 109.7244943 Sep 97.56428889 127.0277815 4.80618472 121.6208237 106.4237817 Oct 98.30678381 124.8769265 5.40695781 118.8691956 104.0159813 Nov 89.7256169 112.0465927 6.0077309 105.4380887 92.26314862 Dec 91.68649486 102.7315934 6.60850399 102.7315934 89.89484152 Average 114.2797425 NEW CHAIN RELATIVE FOR FIRST MONTH 107.2092771
  • 72. Residual after trend is eliminated
  • 73. t Months Yt Trend Values Seasonal Indices Residual= (Yt/Tt)*100 Residual 1 Sep-95 537.55 140.1202958 106.4237817 383.6346455 3.83634646 2 Oct-95 546.21 148.9834567 104.0159813 366.6245985 3.66624599 3 Nov-95 564.24 158.0812077 92.26314862 356.9304714 3.56930471 4 Dec-95 443.23 167.4008658 89.89484152 264.7716293 2.64771629
  • 74. t Months Yt Trend Values Seasonal Indices Residual= (Yt/Tt)*100 Residual 5 Jan-96 417.53 176.9291779 87.50457237 235.9870796 2.3598708 6 Feb-96 434.47 186.6524081 89.31537968 232.7695659 2.32769566 7 Mar-96 474.39 196.5564243 97.6164217 241.3505443 2.41350544 8 Apr-96 528.79 206.6267836 101.7102002 255.9155163 2.55915516 9 May-96 520.09 216.8488146 103.8383672 239.8399092 2.39839909 10 Jun-96 559.05 227.2076975 107.3118674 246.0524032 2.46052403 11 Jul-96 527.45 237.6885408 110.380944 221.9080475 2.21908048 12 Aug-96 527.25 248.2764534 109.7244943 212.3640776 2.12364078 13 Sep-96 528.42 258.9566136 106.4237817 204.0573487 2.04057349 14 Oct-96 473.7 269.7143327 104.0159813 175.630266 1.75630266 15 Nov-96 474.99 280.5351144 92.26314862 169.3157026 1.69315703 16 Dec-96 433.88 291.4047095 89.89484152 148.8925834 1.48892583
  • 75. t Months Yt Trend Values Seasonal Indices Residual= (Yt/Tt)*100 Residual 17 Jan-97 424.6 302.3091651 87.50457237 140.452242 1.40452242 18 Feb-97 406.73 313.2348696 89.31537968 129.8482511 1.29848251 19 Mar-97 419.62 324.1685924 97.6164217 129.4449894 1.29444989 20 Apr-97 451.19 335.0975192 101.7102002 134.6443868 1.34644387 21 May-97 470.14 346.009282 103.8383672 135.8749677 1.35874968 22 Jun-97 439.75 356.8919852 107.3118674 123.2165524 1.23216552 23 Jul-97 515.5 367.7342273 110.380944 140.1827629 1.40182763 24 Aug-97 571.51 378.525118 109.7244943 150.9833754 1.50983375 25 Sep-97 547.13 389.2542916 106.4237817 140.5585017 1.40558502 26 Oct-97 493.47 399.9119175 104.0159813 123.3946723 1.23394672 27 Nov-97 414.98 410.4887057 92.26314862 101.0941335 1.01094134 28 Dec-97 352.94 420.9759105 89.89484152 83.83852643 0.83838526
  • 76. t Months Yt Trend Values Seasonal Indices Residual= (Yt/Tt)*100 Residual 29 Jan-98 361.63 431.3653306 87.50457237 83.83381193 0.83833812 30 Feb-98 394.7 441.6493067 89.31537968 89.36955045 0.8936955 31 Mar-98 408.36 451.8207166 97.6164217 90.38098188 0.90380982 32 Apr-98 443.83 461.8729679 101.7102002 96.09352156 0.96093522 33 May-98 448.75 471.7999893 103.8383672 95.11445743 0.95114457 34 Jun-98 457.59 481.5962196 107.3118674 95.01528071 0.95015281 35 Jul-98 542.93 491.2565955 110.380944 110.518618 1.10518618 36 Aug-98 506.8 500.7765377 109.7244943 101.2028244 1.01202824 37 Sep-98 499.06 510.1519365 106.4237817 97.82575823 0.97825758 38 Oct-98 433 519.379136 104.0159813 83.36877052 0.83368771 39 Nov-98 428.24 528.4549176 92.26314862 81.03624089 0.81036241 40 Dec-98 383.92 537.3764829 89.89484152 71.44339438 0.71443394
  • 77. t Months Yt Trend Values Seasonal Indices Residual= (Yt/Tt)*100 Residual 41 Jan-99 417.37 546.1414366 87.50457237 76.42159558 0.76421596 42 Feb-99 403.97 554.7477682 89.31537968 72.82048223 0.72820482 43 Mar-99 439.64 563.1938342 97.6164217 78.06193415 0.78061934 44 Apr-99 447.14 571.4783401 101.7102002 78.24268544 0.78242685 45 May-99 444.25 579.6003222 103.8383672 76.64764546 0.76647646 46 Jun-99 484.44 587.5591296 107.3118674 82.44957411 0.82449574 47 Jul-99 460.27 595.3544067 110.380944 77.31025332 0.77310253 48 Aug-99 492.36 602.9860755 109.7244943 81.65362685 0.81653627 49 Sep-99 471.85 610.4543182 106.4237817 77.29489103 0.77294891 50 Oct-99 517.99 617.7595608 104.0159813 83.84977471 0.83849775 51 Nov-99 340.37 624.9024566 92.26314862 54.46770074 0.54467701 52 Dec-99 339.07 631.8838701 89.89484152 53.66017651 0.53660177
  • 78. t Months Yt Trend Values Seasonal Indices Residual= (Yt/Tt)*100 Residual 53 Jan-00 348.9 638.7048617 87.50457237 54.62616945 0.54626169 54 Feb-00 323.59 645.3666728 89.31537968 50.14048813 0.50140488 55 Mar-00 299.18 651.8707115 97.6164217 45.89560394 0.45895604 56 Apr-00 337.49 658.2185387 101.7102002 51.27324439 0.51273244 57 May-00 411.02 664.4118547 103.8383672 61.86223155 0.61862232 58 Jun-00 426.49 670.4524869 107.3118674 63.61226311 0.63612263 59 Jul-00 401.78 676.3423773 110.380944 59.40482417 0.59404824 60 Aug-00 392.32 682.0835712 109.7244943 57.51787853 0.57517879 61 Sep-00 364.71 687.6782064 106.4237817 53.03498011 0.5303498 62 Oct-00 379.84 693.1285024 104.0159813 54.80080515 0.54800805 63 Nov-00 364.21 698.4367507 92.26314862 52.14645416 0.52146454 64 Dec-00 309.02 703.6053056 89.89484152 43.91950964 0.4391951
  • 79. t Months Yt Trend Values Seasonal Indices Residual= (Yt/Tt)*100 Residual 65 Jan-01 348.93 708.6365756 87.50457237 49.23962607 0.49239626 66 Feb-01 407.17 713.5330147 89.31537968 57.0639328 0.57063933 67 Mar-01 554.81 718.2971148 97.6164217 77.2396253 0.77239625 68 Apr-01 629.72 722.9313988 101.7102002 87.10646696 0.87106467 69 May-01 734.34 727.4384133 103.8383672 100.948752 1.00948752 70 Jun-01 830.56 731.8207226 107.3118674 113.4922768 1.13492277 71 Jul-01 962.94 736.0809025 110.380944 130.8198592 1.30819859 72 Aug-01 784.58 740.2215354 109.7244943 105.9925931 1.05992593 73 Sep-01 577.54 744.2452043 106.4237817 77.60076876 0.77600769 74 Oct-01 423.63 748.154489 104.0159813 56.62333198 0.56623332 75 Nov-01 466 751.9519611 92.26314862 61.97204398 0.61972044 76 Dec-01 425.76 755.6401805 89.89484152 56.34427747 0.56344278
  • 80. t Months Yt Trend Values Seasonal Indices Residual= (Yt/Tt)*100 Residual 77 Jan-02 443.71 759.2216915 87.50457237 58.44274538 0.58442745 78 Feb-02 454.62 762.6990193 89.31537968 59.60673719 0.59606737 79 Mar-02 590.33 766.0746674 97.6164217 77.05906815 0.77059068 80 Apr-02 579.16 769.3511144 101.7102002 75.27902269 0.75279023 81 May-02 635.51 772.5308118 103.8383672 82.26338552 0.82263386 82 Jun-02 635.47 775.6161815 107.3118674 81.93098792 0.81930988 83 Jul-02 653.47 778.6096141 110.380944 83.92781032 0.8392781 84 Aug-02 637.6 781.5134667 109.7244943 81.58528639 0.81585286 85 Sep-02 626.68 784.3300617 106.4237817 79.90003579 0.79900036 86 Oct-02 614.28 787.0616853 104.0159813 78.04724985 0.7804725 87 Nov-02 476.8 789.7105861 92.26314862 60.37654913 0.60376549 88 Dec-02 426.76 792.2789743 89.89484152 53.86486501 0.53864865
  • 81. t Months Yt Trend Values Seasonal Indices Residual= (Yt/Tt)*100 Residual 89 Jan-03 547.13 794.7690208 87.50457237 68.84138482 0.68841385 90 Feb-03 505.06 797.1828562 89.31537968 63.3556023 0.63355602 91 Mar-03 633.16 799.5225706 97.6164217 79.19226089 0.79192261 92 Apr-03 700 801.7902129 101.7102002 87.30463265 0.87304633 93 May-03 685 803.9877904 103.8383672 85.20029883 0.85200299 94 Jun-03 719.44 806.1172688 107.3118674 89.24756085 0.89247561 95 Jul-03 749.65 808.1805719 110.380944 92.75773585 0.92757736 96 Aug-03 793.2 810.1795813 109.7244943 97.90422004 0.9790422 97 Sep-03 782.99 812.1161371 106.4237817 96.41355025 0.9641355 98 Oct-03 836.15 813.9920374 104.0159813 102.7221351 1.02722135 99 Nov-03 660.98 815.8090387 92.26314862 81.02141171 0.81021412 100 Dec-03 582.95 817.5688562 89.89484152 71.30286282 0.71302863
  • 82. t Months Yt Trend Values Seasonal Indices Residual= (Yt/Tt)*100 Residual 101 Jan-04 718.27 819.273164 87.50457237 87.67161327 0.87671613 102 Feb-04 831.05 820.9235957 89.31537968 101.233538 1.01233538 103 Mar-04 934.72 822.5217443 97.6164217 113.6407647 1.13640765 104 Apr-04 858.92 824.0691634 101.7102002 104.2291155 1.04229116 105 May-04 872.75 825.5673668 103.8383672 105.7151766 1.05715177 106 Jun-04 920.82 827.01783 107.3118674 111.3422186 1.11342219 107 Jul-04 994.18 828.4219899 110.380944 120.0088858 1.20008886 108 Aug-04 935.59 829.7812459 109.7244943 112.7514034 1.12751403 109 Sep-04 901.3 831.0969601 106.4237817 108.4470336 1.08447034 110 Oct-04 921.2 832.3704586 104.0159813 110.6718758 1.10671876 111 Nov-04 715.34 833.6030312 92.26314862 85.8130277 0.85813028 112 Dec-04 686.13 834.7959328 89.89484152 82.19134438 0.82191344
  • 83. t Months Yt Trend Values Seasonal Indices Residual= (Yt/Tt)*100 Residual 113 Jan-05 640.12 835.950384 87.50457237 76.5739226 0.76573923 114 Feb-05 742.36 837.0675712 89.31537968 88.68579139 0.88685791 115 Mar-05 1109.06 838.148648 97.6164217 132.3225901 1.3232259 116 Apr-05 1174.97 839.1947354 101.7102002 140.0116028 1.40011603 117 May-05 1095.68 840.2069226 103.8383672 130.4059715 1.30405972 118 Jun-05 934.69 841.186268 107.3118674 111.1156988 1.11115699 119 Jul-05 748.69 842.1337994 110.380944 88.90392483 0.88903925 120 Aug-05 757.4 843.050515 109.7244943 89.84040535 0.89840405 121 Sep-05 749.03 843.9373841 106.4237817 88.75421496 0.88754215 122 Oct-05 815.14 844.7953475 104.0159813 96.48964124 0.96489641 123 Nov-05 879.53 845.6253186 92.26314862 104.0094213 1.04009421 124 Dec-05 849.42 846.4281836 89.89484152 100.3534637 1.00353464
  • 84. t Months Yt Trend Values Seasonal Indices Residual= (Yt/Tt)*100 Residual 125 Jan-06 849.75 847.2048027 87.50457237 100.3004229 1.00300423 126 Feb-06 821.46 847.9560103 89.31537968 96.87530839 0.96875308 127 Mar-06 808.86 848.6826159 97.6164217 95.30771396 0.95307714 128 Apr-06 800.33 849.3854047 101.7102002 94.2246 0.942246 129 May-06 800.19 850.0651379 103.8383672 94.13278633 0.94132786 130 Jun-06 665.84 850.7225542 107.3118674 78.26758521 0.78267585 131 Jul-06 734.4 851.3583693 110.380944 86.26214606 0.86262146 132 Aug-06 830.84 851.9732773 109.7244943 97.5194906 0.97519491 133 Sep-06 878.63 852.567951 106.4237817 103.0568882 1.03056888 134 Oct-06 1036 853.1430426 104.0159813 121.4333293 1.21433329 135 Nov-06 931.12 853.699184 92.26314862 109.0688638 1.09068864 136 Dec-06 792.8 854.2369877 89.89484152 92.80796915 0.92807969
  • 85. t Months Yt Trend Values Seasonal Indices Residual= (Yt/Tt)*100 Residual 137 Jan-07 797.09 854.7570472 87.50457237 93.25339904 0.93253399 138 Feb-07 841.82 855.2599374 89.31537968 98.42855525 0.98428555 139 Mar-07 811.34 855.7462155 97.6164217 94.81081953 0.9481082 140 Apr-07 855.84 856.2164209 101.7102002 99.95603671 0.99956037 141 May-07 886.84 856.6710765 103.8383672 103.5216461 1.03521646 142 Jun-07 935.34 857.1106885 107.3118674 109.1270955 1.09127096 143 Jul-07 1142.48 857.5357472 110.380944 133.2282653 1.33228265 144 Aug-07 1231.13 857.9467274 109.7244943 143.4972546 1.43497255 145 Sep-07 1032.22 858.344089 106.4237817 120.2571339 1.20257134 146 Oct-07 974.51 858.728277 104.0159813 113.4829289 1.13482929 147 Nov-07 1045.7 859.0997226 92.26314862 121.7204444 1.21720444 148 Dec-07 925.87 859.4588431 89.89484152 107.7270898 1.0772709
  • 86. t Months Yt Trend Values Seasonal Indices Residual= (Yt/Tt)*100 Residual 149 Jan-08 1029.65 859.8060425 87.50457237 119.7537525 1.19753753 150 Feb-08 1049.03 860.1417119 89.31537968 121.9601358 1.21960136 151 Mar-08 1230.77 860.4662298 97.6164217 143.0352473 1.43035247 152 Apr-08 1233.72 860.7799627 101.7102002 143.325827 1.43325827 153 May-08 1317.69 861.0832653 103.8383672 153.027013 1.53027013 154 Jun-08 1414.43 861.3764807 107.3118674 164.2057836 1.64205784 155 Jul-08 1431.69 861.6599411 110.380944 166.1548752 1.66154875 156 Aug-08 1131.85 861.9339681 109.7244943 131.3151636 1.31315164 157 Sep-08 923.97 862.1988726 106.4237817 107.1643712 1.07164371 158 Oct-08 909.83 862.4549557 104.0159813 105.4930456 1.05493046 159 Nov-08 853.34 862.7025085 92.26314862 98.91474657 0.98914747 160 Dec-08 761.72 862.941813 89.89484152 88.2701462 0.88270146
  • 87. t Months Yt Trend Values Seasonal Indices Residual= (Yt/Tt)*100 Residual 161 Jan-09 782.89 863.1731418 87.50457237 90.6990686 0.90699069 162 Feb-09 766.46 863.3967585 89.31537968 88.77262886 0.88772629 163 Mar-09 847.05 863.6129185 97.6164217 98.08213633 0.98082136 164 Apr-09 904.52 863.8218685 101.7102002 104.7114032 1.04711403 165 May-09 888.24 864.0238474 103.8383672 102.8027181 1.02802718 166 Jun-09 816.12 864.2190862 107.3118674 94.43438741 0.94434387 167 Jul-09 715.36 864.4078084 110.380944 82.75723484 0.82757235 168 Aug-09 836.29 864.5902301 109.7244943 96.72674648 0.96726747 169 Sep-09 1030.95 864.7665604 106.4237817 119.2171445 1.19217145 170 Oct-09 1152.61 864.9370015 104.0159813 133.2594164 1.33259416 171 Nov-09 1154.41 865.101749 92.26314862 133.4421068 1.33442107 172 Dec-09 1013.58 865.260992 89.89484152 117.1415341 1.17141534
  • 88. t Months Yt Trend Values Seasonal Indices Residual= (Yt/Tt)*100 Residual 173 Jan-10 1089.26 865.4149135 87.50457237 125.8656377 1.25865638 174 Feb-10 981.59 865.5636904 89.31537968 113.4047108 1.13404711 175 Mar-10 954.72 865.7074938 97.6164217 110.2820533 1.10282053 176 Apr-10 994.73 865.8464893 101.7102002 114.8852611 1.14885261 177 May-10 1054.71 865.9808367 103.8383672 121.7936882 1.21793688 178 Jun-10 1201.27 866.1106909 107.3118674 138.6970525 1.38697053 179 Jul-10 1302.41 866.2362014 110.380944 150.3527557 1.50352756 180 Aug-10 1139.33 866.357513 109.7244943 131.5080648 1.31508065 181 Sep-10 1046.85 866.4747657 106.4237817 120.8171365 1.20817137 182 Oct-10 1086.32 866.5880945 104.0159813 125.3559802 1.2535598 183 Nov-10 823.35 866.6976305 92.26314862 94.99852901 0.94998529 184 Dec-10 723.89 866.8035001 89.89484152 83.51258387 0.83512584
  • 89. t Months Yt Trend Values Seasonal Indices Residual= (Yt/Tt)*100 Residual 185 Jan-11 734.61 866.9058255 87.50457237 84.73930829 0.84739308 186 Feb-11 884.96 867.004725 89.31537968 102.0709547 1.02070955 187 Mar-11 852.44 867.100313 97.6164217 98.3092714 0.98309271 188 Apr-11 880.97 867.1926999 101.7102002 101.5887242 1.01588724 189 May-11 836.41 867.2819927 103.8383672 96.4403743 0.96440374 190 Jun-11 916.4 867.3682947 107.3118674 105.652928 1.05652928 191 Jul-11 971.56 867.4517057 110.380944 112.0016242 1.12001624 192 Aug-11 948.83 867.5323224 109.7244943 109.3711411 1.09371141 193 Sep-11 1194.94 867.6102381 106.4237817 137.7277431 1.37727743 194 Oct-11 1032.7 867.685543 104.0159813 119.0177719 1.19017772 195 Nov-11 681.65 867.7583245 92.26314862 78.55297734 0.78552977 196 Dec-11 757.73 867.8286669 89.89484152 87.31331758 0.87313318
  • 90. t Months Yt Trend Values Seasonal Indices Residual= (Yt/Tt)*100 Residual 197 Jan-12 730.58 867.8966517 87.50457237 84.17822544 0.84178225 198 Feb-12 778.64 867.9623578 89.31537968 89.7089595 0.8970896 199 Mar-12 802.57 868.0258614 97.6164217 92.45922682 0.92459227 200 Apr-12 822.89 868.0872361 101.7102002 94.79346841 0.94793468 201 May-12 755.83 868.1465533 103.8383672 87.06248929 0.87062489 202 Jun-12 952.76 868.2038817 107.3118674 109.7392007 1.09739201 203 Jul-12 1015.16 868.2592879 110.380944 116.9189912 1.16918991 204 Aug-12 970.39 868.3128362 109.7244943 111.755805 1.11755805 205 Sep-12 1000.89 868.3645889 106.4237817 115.2614942 1.15261494 206 Oct-12 980.85 868.4146059 104.0159813 112.9472021 1.12947202 207 Nov-12 846.84 868.4629456 92.26314862 97.51020517 0.97510205 208 Dec-12 758.09 868.5096639 89.89484152 87.28630567 0.87286306
  • 91. t Months Yt Trend Values Seasonal Indices Residual= (Yt/Tt)*100 Residual 209 Jan-13 750.03 868.5548152 87.50457237 86.35378987 0.8635379 210 Feb-13 819.58 868.598452 89.31537968 94.3566038 0.94356604 211 Mar-13 908.1 868.6406251 97.6164217 104.5426582 1.04542658 212 Apr-13 980.49 868.6813833 101.7102002 112.8710732 1.12871073 213 May-13 1057.01 868.7207743 103.8383672 121.6743091 1.21674309 214 Jun-13 1157.65 868.7588436 107.3118674 133.2533198 1.3325332 215 Jul-13 1121.23 868.7956358 110.380944 129.0556667 1.29055667 216 Aug-13 1190.81 868.8311934 109.7244943 137.0588451 1.37058845 217 Sep-13 1119.72 868.865558 106.4237817 128.8714911 1.28871491 218 Oct-13 997.26 868.8987695 104.0159813 114.7728637 1.14772864 219 Nov-13 766 868.9308665 92.26314862 88.15430888 0.88154309 220 Dec-13 739.98 868.9618865 89.89484152 85.15678438 0.85156784
  • 92. t Months Yt Trend Values Seasonal Indices Residual= (Yt/Tt)*100 Residual 221 Jan-14 753.15 868.9918654 87.50457237 86.66939588 0.86669396 222 Feb-14 770.93 869.0208383 89.31537968 88.71248721 0.88712487 223 Mar-14 808.11 869.0488388 97.6164217 92.98786948 0.9298787 224 Apr-14 846.89 869.0758996 101.7102002 97.44718504 0.97447185 225 May-14 834.98 869.1020521 103.8383672 96.07387279 0.96073873 226 Jun-14 834.56 869.1273269 107.3118674 96.02275457 0.96022755 227 Jul-14 783.04 869.1517533 110.380944 90.09243749 0.90092438 228 Aug-14 768.17 869.1753598 109.7244943 88.37917359 0.88379174 229 Sep-14 771.03 869.1981739 106.4237817 88.70589276 0.88705893 230 Oct-14 732.15 869.2202222 104.0159813 84.23066805 0.84230668 231 Nov-14 717.87 869.2415304 92.26314862 82.58579174 0.82585792 232 Dec-14 769.23 869.2621233 89.89484152 88.49229471 0.88492295
  • 93. t Months Yt Trend Values Seasonal Indices Residual= (Yt/Tt)*100 Residual 233 Jan-15 758.02 869.2820249 87.50457237 87.20069877 0.87200699 234 Feb-15 704.17 869.3012584 89.31537968 81.00413904 0.81004139 235 Mar-15 633.29 869.3198462 97.6164217 72.84890628 0.72848906 236 Apr-15 612.13 869.3378099 101.7102002 70.4133644 0.70413364 237 May-15 608.64 869.3551706 103.8383672 70.01051131 0.70010511 238 Jun-15 629.9 869.3719484 107.3118674 72.45460372 0.72454604 239 Jul-15 640.11 869.3881629 110.380944 73.62764152 0.73627642 240 Aug-15 684.28 869.403833 109.7244943 78.70680736 0.78706807 241 Sep-15 631.91 869.4189769 106.4237817 72.68187339 0.72681873
  • 95.
  • 96. t Months yt Trend Values Seasonal Indices yt/st*100 Residuals 1 Sep-95 537.55 140.1202958 106.4237817 505.1032689 5.051032689 2 Oct-95 546.21 148.9834567 104.0159813 525.1212296 5.251212296 3 Nov-95 564.24 158.0812077 92.26314862 611.55511 6.1155511 4 Dec-95 443.23 167.4008658 89.89484152 493.0538755 4.930538755 t Months yt Trend Values Seasonal Indices yt/st*100 Residuals 5 Jan-96 417.53 176.9291779 87.50457237 477.152209 4.77152209 6 Feb-96 434.47 186.6524081 89.31537968 486.4447775 4.864447775 7 Mar-96 474.39 196.5564243 97.6164217 485.9735603 4.859735603 8 Apr-96 528.79 206.6267836 101.7102002 519.8986915 5.198986915 9 May-96 520.09 216.8488146 103.8383672 500.8649633 5.008649633 10 Jun-96 559.05 227.2076975 107.3118674 520.9582256 5.209582256 11 Jul-96 527.45 237.6885408 110.380944 477.8451612 4.778451612 12 Aug-96 527.25 248.2764534 109.7244943 480.5216951 4.805216951 13 Sep-96 528.42 258.9566136 106.4237817 496.5243593 4.965243593 14 Oct-96 473.7 269.7143327 104.0159813 455.4107879 4.554107879 15 Nov-96 474.99 280.5351144 92.26314862 514.8209303 5.148209303 16 Dec-96 433.88 291.4047095 89.89484152 482.6528337 4.826528337
  • 97. t Months yt Trend Values Seasonal Indices yt/st*100 Residuals 17 Jan-97 424.6 302.3091651 87.50457237 485.2317868 4.852317868 18 Feb-97 406.73 313.2348696 89.31537968 455.3862968 4.553862968 19 Mar-97 419.62 324.1685924 97.6164217 429.8661974 4.298661974 20 Apr-97 451.19 335.0975192 101.7102002 443.6034921 4.436034921 21 May-97 470.14 346.009282 103.8383672 452.7613564 4.527613564 22 Jun-97 439.75 356.8919852 107.3118674 409.7869237 4.097869237 23 Jul-97 515.5 367.7342273 110.380944 467.0190172 4.670190172 24 Aug-97 571.51 378.525118 109.7244943 520.8590877 5.208590877 25 Sep-97 547.13 389.2542916 106.4237817 514.1050163 5.141050163 26 Oct-97 493.47 399.9119175 104.0159813 474.4174826 4.744174826 27 Nov-97 414.98 410.4887057 92.26314862 449.7787104 4.497787104 28 Dec-97 352.94 420.9759105 89.89484152 392.6142969 3.926142969
  • 98. t Months yt Trend Values Seasonal Indices yt/st*100 Residuals 29 Jan-98 361.63 431.3653306 87.50457237 413.2698329 4.132698329 30 Feb-98 394.7 441.6493067 89.31537968 441.917172 4.41917172 31 Mar-98 408.36 451.8207166 97.6164217 418.331253 4.18331253 32 Apr-98 443.83 461.8729679 101.7102002 436.3672464 4.363672464 33 May-98 448.75 471.7999893 103.8383672 432.1620341 4.321620341 34 Jun-98 457.59 481.5962196 107.3118674 426.4113665 4.264113665 35 Jul-98 542.93 491.2565955 110.380944 491.869321 4.91869321 36 Aug-98 506.8 500.7765377 109.7244943 461.8841064 4.618841064 37 Sep-98 499.06 510.1519365 106.4237817 468.9365405 4.689365405 38 Oct-98 433 519.379136 104.0159813 416.2821853 4.162821853 39 Nov-98 428.24 528.4549176 92.26314862 464.1506456 4.641506456 40 Dec-98 383.92 537.3764829 89.89484152 427.076786 4.27076786
  • 99. t Months yt Trend Values Seasonal Indices yt/st*100 Residuals 41 Jan-99 417.37 546.1414366 87.50457237 476.9693614 4.769693614 42 Feb-99 403.97 554.7477682 89.31537968 452.2961235 4.522961235 43 Mar-99 439.64 563.1938342 97.6164217 450.3750418 4.503750418 44 Apr-99 447.14 571.4783401 101.7102002 439.6215906 4.396215906 45 May-99 444.25 579.6003222 103.8383672 427.8283758 4.278283758 46 Jun-99 484.44 587.5591296 107.3118674 451.4318984 4.514318984 47 Jul-99 460.27 595.3544067 110.380944 416.9832066 4.169832066 48 Aug-99 492.36 602.9860755 109.7244943 448.7238726 4.487238726 49 Sep-99 471.85 610.4543182 106.4237817 443.3689469 4.433689469 50 Oct-99 517.99 617.7595608 104.0159813 497.9907833 4.979907833 51 Nov-99 340.37 624.9024566 92.26314862 368.9121877 3.689121877 52 Dec-99 339.07 631.8838701 89.89484152 377.185158 3.77185158
  • 100. t Months yt Trend Values Seasonal Indices yt/st*100 Residuals 53 Jan-00 348.9 638.7048617 87.50457237 398.7220217 3.987220217 54 Feb-00 323.59 645.3666728 89.31537968 362.3004248 3.623004248 55 Mar-00 299.18 651.8707115 97.6164217 306.4853175 3.064853175 56 Apr-00 337.49 658.2185387 101.7102002 331.8152941 3.318152941 57 May-00 411.02 664.4118547 103.8383672 395.826717 3.95826717 58 Jun-00 426.49 670.4524869 107.3118674 397.4304152 3.974304152 59 Jul-00 401.78 676.3423773 110.380944 363.9939878 3.639939878 60 Aug-00 392.32 682.0835712 109.7244943 357.5500643 3.575500643 61 Sep-00 364.71 687.6782064 106.4237817 342.6959598 3.426959598 62 Oct-00 379.84 693.1285024 104.0159813 365.1746542 3.651746542 63 Nov-00 364.21 698.4367507 92.26314862 394.7513232 3.947513232 64 Dec-00 309.02 703.6053056 89.89484152 343.7572109 3.437572109
  • 101. t Months yt Trend Values Seasonal Indices yt/st*100 Residuals 65 Jan-01 348.93 708.6365756 87.50457237 398.7563056 3.987563056 66 Feb-01 407.17 713.5330147 89.31537968 455.8789331 4.558789331 67 Mar-01 554.81 718.2971148 97.6164217 568.3572398 5.683572398 68 Apr-01 629.72 722.9313988 101.7102002 619.1316099 6.191316099 69 May-01 734.34 727.4384133 103.8383672 707.1952492 7.071952492 70 Jun-01 830.56 731.8207226 107.3118674 773.9684533 7.739684533 71 Jul-01 962.94 736.0809025 110.380944 872.3788407 8.723788407 72 Aug-01 784.58 740.2215354 109.7244943 715.0454463 7.150454463 73 Sep-01 577.54 744.2452043 106.4237817 542.6794566 5.426794566 74 Oct-01 423.63 748.154489 104.0159813 407.2739542 4.072739542 75 Nov-01 466 751.9519611 92.26314862 505.0770616 5.050770616 76 Dec-01 425.76 755.6401805 89.89484152 473.6200574 4.736200574
  • 102. t Months yt Trend Values Seasonal Indices yt/st*100 Residuals 77 Jan-02 443.71 759.2216915 87.50457237 507.0706456 5.070706456 78 Feb-02 454.62 762.6990193 89.31537968 509.0052818 5.090052818 79 Mar-02 590.33 766.0746674 97.6164217 604.7445601 6.047445601 80 Apr-02 579.16 769.3511144 101.7102002 569.4217481 5.694217481 81 May-02 635.51 772.5308118 103.8383672 612.018483 6.12018483 82 Jun-02 635.47 775.6161815 107.3118674 592.1712255 5.921712255 83 Jul-02 653.47 778.6096141 110.380944 592.0134183 5.920134183 84 Aug-02 637.6 781.5134667 109.7244943 581.0917645 5.810917645 85 Sep-02 626.68 784.3300617 106.4237817 588.8533467 5.888533467 86 Oct-02 614.28 787.0616853 104.0159813 590.5630965 5.905630965 87 Nov-02 476.8 789.7105861 92.26314862 516.7827103 5.167827103 88 Dec-02 426.76 792.2789743 89.89484152 474.7324683 4.747324683
  • 103. t Months yt Trend Values Seasonal Indices yt/st*100 Residuals 89 Jan-03 547.13 794.7690208 87.50457237 625.2587553 6.252587553 90 Feb-03 505.06 797.1828562 89.31537968 565.4793181 5.654793181 91 Mar-03 633.16 799.5225706 97.6164217 648.6203745 6.486203745 92 Apr-03 700 801.7902129 101.7102002 688.229891 6.88229891 93 May-03 685 803.9877904 103.8383672 659.6790938 6.596790938 94 Jun-03 719.44 806.1172688 107.3118674 670.4197939 6.704197939 95 Jul-03 749.65 808.1805719 110.380944 679.1480237 6.791480237 96 Aug-03 793.2 810.1795813 109.7244943 722.9014861 7.229014861 97 Sep-03 782.99 812.1161371 106.4237817 735.7284132 7.357284132 98 Oct-03 836.15 813.9920374 104.0159813 803.8668574 8.038668574 99 Nov-03 660.98 815.8090387 92.26314862 716.4073738 7.164073738 100 Dec-03 582.95 817.5688562 89.89484152 648.479924 6.48479924
  • 104. t Months yt Trend Values Seasonal Indices yt/st*100 Residuals 101 Jan-04 718.27 819.273164 87.50457237 820.8371066 8.208371066 102 Feb-04 831.05 820.9235957 89.31537968 930.4668501 9.304668501 103 Mar-04 934.72 822.5217443 97.6164217 957.5438064 9.575438064 104 Apr-04 858.92 824.0691634 101.7102002 844.4777399 8.444777399 105 May-04 872.75 825.5673668 103.8383672 840.4889476 8.404889476 106 Jun-04 920.82 827.01783 107.3118674 858.0784425 8.580784425 107 Jul-04 994.18 828.4219899 110.380944 900.6808273 9.006808273 108 Aug-04 935.59 829.7812459 109.7244943 852.6719635 8.526719635 109 Sep-04 901.3 831.0969601 106.4237817 846.8971747 8.468971747 110 Oct-04 921.2 832.3704586 104.0159813 885.6331388 8.856331388 111 Nov-04 715.34 833.6030312 92.26314862 775.3258053 7.753258053 112 Dec-04 686.13 834.7959328 89.89484152 763.2584789 7.632584789
  • 105. t Months yt Trend Values Seasonal Indices yt/st*100 Residuals 113 Jan-05 640.12 835.950384 87.50457237 731.5274879 7.315274879 114 Feb-05 742.36 837.0675712 89.31537968 831.1670427 8.311670427 115 Mar-05 1109.06 838.148648 97.6164217 1136.140806 11.36140806 116 Apr-05 1174.97 839.1947354 101.7102002 1155.213536 11.55213536 117 May-05 1095.68 840.2069226 103.8383672 1055.178379 10.55178379 118 Jun-05 934.69 841.186268 107.3118674 871.0033876 8.710033876 119 Jul-05 748.69 842.1337994 110.380944 678.2783084 6.782783084 120 Aug-05 757.4 843.050515 109.7244943 690.2743137 6.902743137 121 Sep-05 749.03 843.9373841 106.4237817 703.8182522 7.038182522 122 Oct-05 815.14 844.7953475 104.0159813 783.6680382 7.836680382 123 Nov-05 879.53 845.6253186 92.26314862 953.2841803 9.532841803 124 Dec-05 849.42 846.4281836 89.89484152 944.9040519 9.449040519
  • 106. t Months yt Trend Values Seasonal Indices yt/st*100 Residuals 125 Jan-06 849.75 847.2048027 87.50457237 971.0921121 9.710921121 126 Feb-06 821.46 847.9560103 89.31537968 919.7296176 9.197296176 127 Mar-06 808.86 848.6826159 97.6164217 828.610582 8.28610582 128 Apr-06 800.33 849.3854047 101.7102002 786.872898 7.86872898 129 May-06 800.19 850.0651379 103.8383672 770.6111154 7.706111154 130 Jun-06 665.84 850.7225542 107.3118674 620.4719165 6.204719165 131 Jul-06 734.4 851.3583693 110.380944 665.3322332 6.653322332 132 Aug-06 830.84 851.9732773 109.7244943 757.2055859 7.572055859 133 Sep-06 878.63 852.567951 106.4237817 825.5955449 8.255955449 134 Oct-06 1036 853.1430426 104.0159813 996.0007944 9.960007944 135 Nov-06 931.12 853.699184 92.26314862 1009.20033 10.0920033 136 Dec-06 792.8 854.2369877 89.89484152 881.9193477 8.819193477
  • 107. t Months yt Trend Values Seasonal Indices yt/st*100 Residuals 137 Jan-07 797.09 854.7570472 87.50457237 910.9123997 9.109123997 138 Feb-07 841.82 855.2599374 89.31537968 942.5252437 9.425252437 139 Mar-07 811.34 855.7462155 97.6164217 831.1511381 8.311511381 140 Apr-07 855.84 856.2164209 101.7102002 841.4495284 8.414495284 141 May-07 886.84 856.6710765 103.8383672 854.0581132 8.540581132 142 Jun-07 935.34 857.1106885 107.3118674 871.6090988 8.716090988 143 Jul-07 1142.48 857.5357472 110.380944 1035.033728 10.35033728 144 Aug-07 1231.13 857.9467274 109.7244943 1122.019297 11.22019297 145 Sep-07 1032.22 858.344089 106.4237817 969.9147916 9.699147916 146 Oct-07 974.51 858.728277 104.0159813 936.8848785 9.368848785 147 Nov-07 1045.7 859.0997226 92.26314862 1133.388591 11.33388591 148 Dec-07 925.87 859.4588431 89.89484152 1029.947864 10.29947864
  • 108. t Months yt Trend Values Seasonal Indices yt/st*100 Residuals 149 Jan-08 1029.65 859.8060425 87.50457237 1176.681369 11.76681369 150 Feb-08 1049.03 860.1417119 89.31537968 1174.523362 11.74523362 151 Mar-08 1230.77 860.4662298 97.6164217 1260.822696 12.60822696 152 Apr-08 1233.72 860.7799627 101.7102002 1212.975687 12.12975687 153 May-08 1317.69 861.0832653 103.8383672 1268.981818 12.68981818 154 Jun-08 1414.43 861.3764807 107.3118674 1318.055528 13.18055528 155 Jul-08 1431.69 861.6599411 110.380944 1297.044533 12.97044533 156 Aug-08 1131.85 861.9339681 109.7244943 1031.538133 10.31538133 157 Sep-08 923.97 862.1988726 106.4237817 868.1988045 8.681988045 158 Oct-08 909.83 862.4549557 104.0159813 874.7021262 8.747021262 159 Nov-08 853.34 862.7025085 92.26314862 924.8979823 9.248979823 160 Dec-08 761.72 862.941813 89.89484152 847.3456175 8.473456175
  • 109. t Months yt Trend Values Seasonal Indices yt/st*100 Residuals 161 Jan-09 782.89 863.1731418 87.50457237 894.6846763 8.946846763 162 Feb-09 766.46 863.3967585 89.31537968 858.1500776 8.581500776 163 Mar-09 847.05 863.6129185 97.6164217 867.7330978 8.677330978 164 Apr-09 904.52 863.8218685 101.7102002 889.3110014 8.893110014 165 May-09 888.24 864.0238474 103.8383672 855.4063624 8.554063624 166 Jun-09 816.12 864.2190862 107.3118674 760.512346 7.60512346 167 Jul-09 715.36 864.4078084 110.380944 648.082879 6.48082879 168 Aug-09 836.29 864.5902301 109.7244943 762.1725717 7.621725717 169 Sep-09 1030.95 864.7665604 106.4237817 968.7214493 9.687214493 170 Oct-09 1152.61 864.9370015 104.0159813 1108.108567 11.08108567 171 Nov-09 1154.41 865.101749 92.26314862 1251.214615 12.51214615 172 Dec-09 1013.58 865.260992 89.89484152 1127.517422 11.27517422
  • 110. t Months yt Trend Values Seasonal Indices yt/st*100 Residuals 173 Jan-10 1089.26 865.4149135 87.50457237 1244.803523 12.44803523 174 Feb-10 981.59 865.5636904 89.31537968 1099.015649 10.99015649 175 Mar-10 954.72 865.7074938 97.6164217 978.0321624 9.780321624 176 Apr-10 994.73 865.8464893 101.7102002 978.0041706 9.780041706 177 May-10 1054.71 865.9808367 103.8383672 1015.722828 10.15722828 178 Jun-10 1201.27 866.1106909 107.3118674 1119.419529 11.19419529 179 Jul-10 1302.41 866.2362014 110.380944 1179.922867 11.79922867 180 Aug-10 1139.33 866.357513 109.7244943 1038.355207 10.38355207 181 Sep-10 1046.85 866.4747657 106.4237817 983.661719 9.83661719 182 Oct-10 1086.32 866.5880945 104.0159813 1044.377976 10.44377976 183 Nov-10 823.35 866.6976305 92.26314862 892.3931302 8.923931302
  • 111. t Months yt Trend Values Seasonal Indices yt/st*100 Residuals 185 Jan-11 734.61 866.9058255 87.50457237 839.5104166 8.395104166 186 Feb-11 884.96 867.004725 89.31537968 990.8259957 9.908259957 187 Mar-11 852.44 867.100313 97.6164217 873.2547097 8.732547097 188 Apr-11 880.97 867.1926999 101.7102002 866.1569815 8.661569815 189 May-11 836.41 867.2819927 103.8383672 805.4922494 8.054922494 190 Jun-11 916.4 867.3682947 107.3118674 853.9596063 8.539596063 191 Jul-11 971.56 867.4517057 110.380944 880.1881597 8.801881597 192 Aug-11 948.83 867.5323224 109.7244943 864.738549 8.64738549 193 Sep-11 1194.94 867.6102381 106.4237817 1122.812948 11.22812948 194 Oct-11 1032.7 867.685543 104.0159813 992.828205 9.92828205 195 Nov-11 681.65 867.7583245 92.26314862 738.8106847 7.388106847 196 Dec-11 757.73 867.8286669 89.89484152 842.9070981 8.429070981
  • 112. t Months yt Trend Values Seasonal Indices yt/st*100 Residuals 197 Jan-12 730.58 867.8966517 87.50457237 834.9049429 8.349049429 198 Feb-12 778.64 867.9623578 89.31537968 871.7871466 8.717871466 199 Mar-12 802.57 868.0258614 97.6164217 822.166994 8.22166994 200 Apr-12 822.89 868.0872361 101.7102002 809.0535642 8.090535642 201 May-12 755.83 868.1465533 103.8383672 727.8908751 7.278908751 202 Jun-12 952.76 868.2038817 107.3118674 887.842159 8.87842159 203 Jul-12 1015.16 868.2592879 110.380944 919.6877312 9.196877312 204 Aug-12 970.39 868.3128362 109.7244943 884.3877624 8.843877624 205 Sep-12 1000.89 868.3645889 106.4237817 940.4758828 9.404758828 206 Oct-12 980.85 868.4146059 104.0159813 942.9800957 9.429800957 207 Nov-12 846.84 868.4629456 92.26314862 917.852916 9.17852916 208 Dec-12 758.09 868.5096639 89.89484152 843.307566 8.43307566
  • 113. t Months yt Trend Values Seasonal Indices yt/st*100 Residuals 209 Jan-13 750.03 868.5548152 87.50457237 857.1323529 8.571323529 210 Feb-13 819.58 868.598452 89.31537968 917.624717 9.17624717 211 Mar-13 908.1 868.6406251 97.6164217 930.2738045 9.302738045 212 Apr-13 980.49 868.6813833 101.7102002 964.0036083 9.640036083 213 May-13 1057.01 868.7207743 103.8383672 1017.937809 10.17937809 214 Jun-13 1157.65 868.7588436 107.3118674 1078.771648 10.78771648 215 Jul-13 1121.23 868.7956358 110.380944 1015.782217 10.15782217 216 Aug-13 1190.81 868.8311934 109.7244943 1085.272716 10.85272716 217 Sep-13 1119.72 868.865558 106.4237817 1052.133257 10.52133257 218 Oct-13 997.26 868.8987695 104.0159813 958.7565176 9.587565176 219 Nov-13 766 868.9308665 92.26314862 830.2339683 8.302339683 220 Dec-13 739.98 868.9618865 89.89484152 823.1618049 8.231618049
  • 114. t Months yt Trend Values Seasonal Indices yt/st*100 Residuals 221 Jan-14 753.15 868.9918654 87.50457237 860.6978808 8.606978808 222 Feb-14 770.93 869.0208383 89.31537968 863.1548147 8.631548147 223 Mar-14 808.11 869.0488388 97.6164217 827.8422686 8.278422686 224 Apr-14 846.89 869.0758996 101.7102002 832.6500176 8.326500176 225 May-14 834.98 869.1020521 103.8383672 804.1151091 8.041151091 226 Jun-14 834.56 869.1273269 107.3118674 777.6959069 7.776959069 227 Jul-14 783.04 869.1517533 110.380944 709.3978103 7.093978103 228 Aug-14 768.17 869.1753598 109.7244943 700.0898066 7.000898066 229 Sep-14 771.03 869.1981739 106.4237817 724.4903235 7.244903235 230 Oct-14 732.15 869.2202222 104.0159813 703.8822216 7.038822216 231 Nov-14 717.87 869.2415304 92.26314862 778.0679619 7.780679619 232 Dec-14 769.23 869.2621233 89.89484152 855.6998232 8.556998232
  • 115. t Months yt Trend Values Seasonal Indices yt/st*100 Residuals 233 Jan-15 758.02 869.2820249 87.50457237 866.2633043 8.662633043 234 Feb-15 704.17 869.3012584 89.31537968 788.4084494 7.884084494 235 Mar-15 633.29 869.3198462 97.6164217 648.7535488 6.487535488 236 Apr-15 612.13 869.3378099 101.7102002 601.8373759 6.018373759 237 May-15 608.64 869.3551706 103.8383672 586.1417279 5.861417279 238 Jun-15 629.9 869.3719484 107.3118674 586.9807464 5.869807464 239 Jul-15 640.11 869.3881629 110.380944 579.9098799 5.799098799 240 Aug-15 684.28 869.403833 109.7244943 623.634681 6.23634681 241 Sep-15 631.91 869.4189769 106.4237817 593.7676619 5.937676619
  • 117.
  • 118. t Months yt Trend Values Seasonal Indices yt*100/(Tt*st) Residuals 1 Sep-95 537.55 140.1202958 106.4237817 3.604783062 0.036047831 2 Oct-95 546.21 148.9834567 104.0159813 3.524694897 0.035246949 3 Nov-95 564.24 158.0812077 92.26314862 3.868613599 0.038686136 4 Dec-95 443.23 167.4008658 89.89484152 2.945348419 0.029453484 t Months yt Trend Values Seasonal Indices yt*100/(Tt*st) Residuals 5 Jan-96 417.53 176.9291779 87.50457237 2.69685427 0.026968543 6 Feb-96 434.47 186.6524081 89.31537968 2.606153237 0.026061532 7 Mar-96 474.39 196.5564243 97.6164217 2.472437937 0.024724379 8 Apr-96 528.79 206.6267836 101.7102002 2.516124398 0.025161244 9 May-96 520.09 216.8488146 103.8383672 2.309742686 0.023097427 10 Jun-96 559.05 227.2076975 107.3118674 2.292872254 0.022928723 11 Jul-96 527.45 237.6885408 110.380944 2.010383671 0.020103837 12 Aug-96 527.25 248.2764534 109.7244943 1.935429996 0.0193543 13 Sep-96 528.42 258.9566136 106.4237817 1.917403663 0.019174037 14 Oct-96 473.7 269.7143327 104.0159813 1.688493094 0.016884931 15 Nov-96 474.99 280.5351144 92.26314862 1.835139003 0.01835139 16 Dec-96 433.88 291.4047095 89.89484152 1.656297301 0.016562973
  • 119. t Months yt Trend Values Seasonal Indices yt*100/(Tt*st) Residuals 17 Jan-97 424.6 302.3091651 87.50457237 1.605084605 0.016050846 18 Feb-97 406.73 313.2348696 89.31537968 1.453817378 0.014538174 19 Mar-97 419.62 324.1685924 97.6164217 1.326057513 0.013260575 20 Apr-97 451.19 335.0975192 101.7102002 1.323804167 0.013238042 21 May-97 470.14 346.009282 103.8383672 1.30852373 0.013085237 22 Jun-97 439.75 356.8919852 107.3118674 1.148209937 0.011482099 23 Jul-97 515.5 367.7342273 110.380944 1.269990614 0.012699906 24 Aug-97 571.51 378.525118 109.7244943 1.376022523 0.013760225 25 Sep-97 547.13 389.2542916 106.4237817 1.320743348 0.013207433 26 Oct-97 493.47 399.9119175 104.0159813 1.186304938 0.011863049 27 Nov-97 414.98 410.4887057 92.26314862 1.09571519 0.010957152 28 Dec-97 352.94 420.9759105 89.89484152 0.932628892 0.009326289
  • 120. t Months yt Trend Values Seasonal Indices yt*100/(Tt*st) Residuals 29 Jan-98 361.63 431.3653306 87.50457237 0.958050644 0.009580506 30 Feb-98 394.7 441.6493067 89.31537968 1.000606511 0.010006065 31 Mar-98 408.36 451.8207166 97.6164217 0.925878867 0.009258789 32 Apr-98 443.83 461.8729679 101.7102002 0.944777627 0.009447776 33 May-98 448.75 471.7999893 103.8383672 0.91598568 0.009159857 34 Jun-98 457.59 481.5962196 107.3118674 0.885412611 0.008854126 35 Jul-98 542.93 491.2565955 110.380944 1.001247262 0.010012473 36 Aug-98 506.8 500.7765377 109.7244943 0.922335756 0.009223358 37 Sep-98 499.06 510.1519365 106.4237817 0.919209567 0.009192096 38 Oct-98 433 519.379136 104.0159813 0.80149963 0.008014996 39 Nov-98 428.24 528.4549176 92.26314862 0.878316447 0.008783164 40 Dec-98 383.92 537.3764829 89.89484152 0.794744094 0.007947441
  • 121. t Months yt Trend Values Seasonal Indices yt*100/(Tt*st) Residuals 41 Jan-99 417.37 546.1414366 87.50457237 0.873344027 0.00873344 42 Feb-99 403.97 554.7477682 89.31537968 0.815318509 0.008153185 43 Mar-99 439.64 563.1938342 97.6164217 0.799680349 0.007996803 44 Apr-99 447.14 571.4783401 101.7102002 0.769270784 0.007692708 45 May-99 444.25 579.6003222 103.8383672 0.738143785 0.007381438 46 Jun-99 484.44 587.5591296 107.3118674 0.768317392 0.007683174 47 Jul-99 460.27 595.3544067 110.380944 0.700394928 0.007003949 48 Aug-99 492.36 602.9860755 109.7244943 0.744169544 0.007441695 49 Sep-99 471.85 610.4543182 106.4237817 0.726293408 0.007262934 50 Oct-99 517.99 617.7595608 104.0159813 0.80612396 0.00806124 51 Nov-99 340.37 624.9024566 92.26314862 0.590351636 0.005903516 52 Dec-99 339.07 631.8838701 89.89484152 0.596921643 0.005969216
  • 122. t Months yt Trend Values Seasonal Indices yt*100/(Tt*st) Residuals 53 Jan-00 348.9 638.7048617 87.50457237 0.624266458 0.006242665 54 Feb-00 323.59 645.3666728 89.31537968 0.561386945 0.005613869 55 Mar-00 299.18 651.8707115 97.6164217 0.470162736 0.004701627 56 Apr-00 337.49 658.2185387 101.7102002 0.504111134 0.005041111 57 May-00 411.02 664.4118547 103.8383672 0.595755049 0.00595755 58 Jun-00 426.49 670.4524869 107.3118674 0.592779389 0.005927794 59 Jul-00 401.78 676.3423773 110.380944 0.53818007 0.005381801 60 Aug-00 392.32 682.0835712 109.7244943 0.524202722 0.005242027 61 Sep-00 364.71 687.6782064 106.4237817 0.498337677 0.004983377 62 Oct-00 379.84 693.1285024 104.0159813 0.52684986 0.005268499 63 Nov-00 364.21 698.4367507 92.26314862 0.565192658 0.005651927 64 Dec-00 309.02 703.6053056 89.89484152 0.488565405 0.004885654
  • 123. t Months yt Trend Values Seasonal Indices yt*100/(Tt*st) Residuals 65 Jan-01 348.93 708.6365756 87.50457237 0.562709179 0.005627092 66 Feb-01 407.17 713.5330147 89.31537968 0.63890377 0.006389038 67 Mar-01 554.81 718.2971148 97.6164217 0.79125647 0.007912565 68 Apr-01 629.72 722.9313988 101.7102002 0.856418204 0.008564182 69 May-01 734.34 727.4384133 103.8383672 0.972171989 0.00972172 70 Jun-01 830.56 731.8207226 107.3118674 1.057592973 0.01057593 71 Jul-01 962.94 736.0809025 110.380944 1.185167062 0.011851671 72 Aug-01 784.58 740.2215354 109.7244943 0.96598844 0.009659884 73 Sep-01 577.54 744.2452043 106.4237817 0.729167556 0.007291676 74 Oct-01 423.63 748.154489 104.0159813 0.544371464 0.005443715 75 Nov-01 466 751.9519611 92.26314862 0.671687937 0.006716879 76 Dec-01 425.76 755.6401805 89.89484152 0.626779874 0.006267799
  • 124. t Months yt Trend Values Seasonal Indices yt*100/(Tt*st) Residuals 77 Jan-02 443.71 759.2216915 87.50457237 0.667882189 0.006678822 78 Feb-02 454.62 762.6990193 89.31537968 0.66737372 0.006673737 79 Mar-02 590.33 766.0746674 97.6164217 0.789406811 0.007894068 80 Apr-02 579.16 769.3511144 101.7102002 0.74013248 0.007401325 81 May-02 635.51 772.5308118 103.8383672 0.792225337 0.007922253 82 Jun-02 635.47 775.6161815 107.3118674 0.763484878 0.007634849 83 Jul-02 653.47 778.6096141 110.380944 0.760346915 0.007603469 84 Aug-02 637.6 781.5134667 109.7244943 0.743546707 0.007435467 85 Sep-02 626.68 784.3300617 106.4237817 0.750772379 0.007507724 86 Oct-02 614.28 787.0616853 104.0159813 0.750339024 0.00750339 87 Nov-02 476.8 789.7105861 92.26314862 0.654395065 0.006543951
  • 125. t Months yt Trend Values Seasonal Indices yt*100/(Tt*st) Residuals 89 Jan-03 547.13 794.7690208 87.50457237 0.786717573 0.007867176 90 Feb-03 505.06 797.1828562 89.31537968 0.709347064 0.007093471 91 Mar-03 633.16 799.5225706 97.6164217 0.811259617 0.008112596 92 Apr-03 700 801.7902129 101.7102002 0.85836654 0.008583665 93 May-03 685 803.9877904 103.8383672 0.820508846 0.008205088 94 Jun-03 719.44 806.1172688 107.3118674 0.831665342 0.008316653 95 Jul-03 749.65 808.1805719 110.380944 0.840341933 0.008403419 96 Aug-03 793.2 810.1795813 109.7244943 0.892273149 0.008922731 97 Sep-03 782.99 812.1161371 106.4237817 0.905939901 0.009059399 98 Oct-03 836.15 813.9920374 104.0159813 0.987561082 0.009875611 99 Nov-03 660.98 815.8090387 92.26314862 0.87815572 0.008781557 100 Dec-03 582.95 817.5688562 89.89484152 0.793180806 0.007931808
  • 126. t Months yt Trend Values Seasonal Indices yt*100/(Tt*st) Residuals 101 Jan-04 718.27 819.273164 87.50457237 1.001908939 0.010019089 102 Feb-04 831.05 820.9235957 89.31537968 1.133439038 0.01133439 103 Mar-04 934.72 822.5217443 97.6164217 1.164156222 0.011641562 104 Apr-04 858.92 824.0691634 101.7102002 1.024765611 0.010247656 105 May-04 872.75 825.5673668 103.8383672 1.018074334 0.010180743 106 Jun-04 920.82 827.01783 107.3118674 1.037557367 0.010375574 107 Jul-04 994.18 828.4219899 110.380944 1.087224673 0.010872247 108 Aug-04 935.59 829.7812459 109.7244943 1.027586448 0.010275864 109 Sep-04 901.3 831.0969601 106.4237817 1.019011277 0.010190113 110 Oct-04 921.2 832.3704586 104.0159813 1.063989153 0.010639892 111 Nov-04 715.34 833.6030312 92.26314862 0.930089954 0.0093009 112 Dec-04 686.13 834.7959328 89.89484152 0.914305459 0.009143055
  • 127. t Months yt Trend Values Seasonal Indices yt*100/(Tt*st) Residuals 113 Jan-05 640.12 835.950384 87.50457237 0.875084816 0.008750848 114 Feb-05 742.36 837.0675712 89.31537968 0.992950953 0.00992951 115 Mar-05 1109.06 838.148648 97.6164217 1.355536167 0.013555362 116 Apr-05 1174.97 839.1947354 101.7102002 1.376573859 0.013765739 117 May-05 1095.68 840.2069226 103.8383672 1.255855374 0.012558554 118 Jun-05 934.69 841.186268 107.3118674 1.035446513 0.010354465 119 Jul-05 748.69 842.1337994 110.380944 0.805428198 0.008054282 120 Aug-05 757.4 843.050515 109.7244943 0.818781676 0.008187817 121 Sep-05 749.03 843.9373841 106.4237817 0.833969754 0.008339698 122 Oct-05 815.14 844.7953475 104.0159813 0.927642465 0.009276425 123 Nov-05 879.53 845.6253186 92.26314862 1.127312723 0.011273127 124 Dec-05 849.42 846.4281836 89.89484152 1.116342851 0.011163429
  • 128. t Months yt Trend Values Seasonal Indices yt*100/(Tt*st) Residuals 125 Jan-06 849.75 847.2048027 87.50457237 1.14623065 0.011462307 126 Feb-06 821.46 847.9560103 89.31537968 1.084643079 0.010846431 127 Mar-06 808.86 848.6826159 97.6164217 0.976349187 0.009763492 128 Apr-06 800.33 849.3854047 101.7102002 0.92640266 0.009264027 129 May-06 800.19 850.0651379 103.8383672 0.906531842 0.009065318 130 Jun-06 665.84 850.7225542 107.3118674 0.729346969 0.00729347 131 Jul-06 734.4 851.3583693 110.380944 0.781494911 0.007814949 132 Aug-06 830.84 851.9732773 109.7244943 0.888766827 0.008887668 133 Sep-06 878.63 852.567951 106.4237817 0.968363336 0.009683633 134 Oct-06 1036 853.1430426 104.0159813 1.167448768 0.011674488 135 Nov-06 931.12 853.699184 92.26314862 1.182149812 0.011821498 136 Dec-06 792.8 854.2369877 89.89484152 1.032405949 0.010324059
  • 129. t Months yt Trend Values Seasonal Indices yt*100/(Tt*st) Residuals 137 Jan-07 797.09 854.7570472 87.50457237 1.065697443 0.010656974 138 Feb-07 841.82 855.2599374 89.31537968 1.102033665 0.011020337 139 Mar-07 811.34 855.7462155 97.6164217 0.971258912 0.009712589 140 Apr-07 855.84 856.2164209 101.7102002 0.982753318 0.009827533 141 May-07 886.84 856.6710765 103.8383672 0.996949864 0.009969499 142 Jun-07 935.34 857.1106885 107.3118674 1.016915447 0.010169154 143 Jul-07 1142.48 857.5357472 110.380944 1.206986101 0.012069861 144 Aug-07 1231.13 857.9467274 109.7244943 1.307795999 0.01307796 145 Sep-07 1032.22 858.344089 106.4237817 1.129983656 0.011299837 146 Oct-07 974.51 858.728277 104.0159813 1.091014356 0.010910144 147 Nov-07 1045.7 859.0997226 92.26314862 1.319274772 0.013192748 148 Dec-07 925.87 859.4588431 89.89484152 1.198367871 0.011983679
  • 130. t Months yt Trend Values Seasonal Indices yt*100/(Tt*st) Residuals 149 Jan-08 1029.65 859.8060425 87.50457237 1.3685428 0.013685428 150 Feb-08 1049.03 860.1417119 89.31537968 1.36549983 0.013654998 151 Mar-08 1230.77 860.4662298 97.6164217 1.465278534 0.014652785 152 Apr-08 1233.72 860.7799627 101.7102002 1.409158832 0.014091588 153 May-08 1317.69 861.0832653 103.8383672 1.47370396 0.01473704 154 Jun-08 1414.43 861.3764807 107.3118674 1.530173574 0.015301736 155 Jul-08 1431.69 861.6599411 110.380944 1.505285868 0.015052859 156 Aug-08 1131.85 861.9339681 109.7244943 1.196771645 0.011967716 157 Sep-08 923.97 862.1988726 106.4237817 1.006958872 0.010069589 158 Oct-08 909.83 862.4549557 104.0159813 1.01420036 0.010142004 159 Nov-08 853.34 862.7025085 92.26314862 1.072093767 0.010720938 160 Dec-08 761.72 862.941813 89.89484152 0.981926712 0.009819267
  • 131. t Months yt Trend Values Seasonal Indices yt*100/(Tt*st) Residuals 161 Jan-09 782.89 863.1731418 87.50457237 1.036506621 0.010365066 162 Feb-09 766.46 863.3967585 89.31537968 0.99392321 0.009939232 163 Mar-09 847.05 863.6129185 97.6164217 1.004770863 0.010047709 164 Apr-09 904.52 863.8218685 101.7102002 1.029507395 0.010295074 165 May-09 888.24 864.0238474 103.8383672 0.990026334 0.009900263 166 Jun-09 816.12 864.2190862 107.3118674 0.879999479 0.008799995 167 Jul-09 715.36 864.4078084 110.380944 0.749742046 0.00749742 168 Aug-09 836.29 864.5902301 109.7244943 0.881541966 0.00881542 169 Sep-09 1030.95 864.7665604 106.4237817 1.120211504 0.011202115 170 Oct-09 1152.61 864.9370015 104.0159813 1.281143673 0.012811437 171 Nov-09 1154.41 865.101749 92.26314862 1.446320756 0.014463208 172 Dec-09 1013.58 865.260992 89.89484152 1.303095173 0.013030952
  • 132. t Months yt Trend Values Seasonal Indices yt*100/(Tt*st) Residuals 173 Jan-10 1089.26 865.4149135 87.50457237 1.438389267 0.014383893 174 Feb-10 981.59 865.5636904 89.31537968 1.269710897 0.012697109 175 Mar-10 954.72 865.7074938 97.6164217 1.129748985 0.01129749 176 Apr-10 994.73 865.8464893 101.7102002 1.129535296 0.011295353 177 May-10 1054.71 865.9808367 103.8383672 1.172916056 0.011729161 178 Jun-10 1201.27 866.1106909 107.3118674 1.292467049 0.01292467 179 Jul-10 1302.41 866.2362014 110.380944 1.362126018 0.01362126 180 Aug-10 1139.33 866.357513 109.7244943 1.198529696 0.011985297 181 Sep-10 1046.85 866.4747657 106.4237817 1.135245662 0.011352457 182 Oct-10 1086.32 866.5880945 104.0159813 1.205160771 0.012051608 183 Nov-10 823.35 866.6976305 92.26314862 1.029647594 0.010296476 184 Dec-10 723.89 866.8035001 89.89484152 0.929003071 0.009290031
  • 133. t Months yt Trend Values Seasonal Indices yt*100/(Tt*st) Residuals 185 Jan-11 734.61 866.9058255 87.50457237 0.968398633 0.009683986 186 Feb-11 884.96 867.004725 89.31537968 1.142814989 0.01142815 187 Mar-11 852.44 867.100313 97.6164217 1.007097676 0.010070977 188 Apr-11 880.97 867.1926999 101.7102002 0.998805665 0.009988057 189 May-11 836.41 867.2819927 103.8383672 0.928754726 0.009287547 190 Jun-11 916.4 867.3682947 107.3118674 0.984540952 0.00984541 191 Jul-11 971.56 867.4517057 110.380944 1.014682609 0.010146826 192 Aug-11 948.83 867.5323224 109.7244943 0.996779632 0.009967796 193 Sep-11 1194.94 867.6102381 106.4237817 1.294144419 0.012941444 194 Oct-11 1032.7 867.685543 104.0159813 1.144225823 0.011442258 195 Nov-11 681.65 867.7583245 92.26314862 0.851401437 0.008514014 196 Dec-11 757.73 867.8286669 89.89484152 0.971282847 0.009712828
  • 134. t Months yt Trend Values Seasonal Indices yt*100/(Tt*st) Residuals 197 Jan-12 730.58 867.8966517 87.50457237 0.961986593 0.009619866 198 Feb-12 778.64 867.9623578 89.31537968 1.00440663 0.010044066 199 Mar-12 802.57 868.0258614 97.6164217 0.947168778 0.009471688 200 Apr-12 822.89 868.0872361 101.7102002 0.931995692 0.009319957 201 May-12 755.83 868.1465533 103.8383672 0.838442395 0.008384424 202 Jun-12 952.76 868.2038817 107.3118674 1.02261943 0.010226194 203 Jul-12 1015.16 868.2592879 110.380944 1.059231665 0.010592317 204 Aug-12 970.39 868.3128362 109.7244943 1.018512828 0.010185128 205 Sep-12 1000.89 868.3645889 106.4237817 1.083042647 0.010830426 206 Oct-12 980.85 868.4146059 104.0159813 1.085863929 0.010858639 207 Nov-12 846.84 868.4629456 92.26314862 1.056870556 0.010568706 208 Dec-12 758.09 868.5096639 89.89484152 0.970982363 0.009709824
  • 135. t Months yt Trend Values Seasonal Indices yt*100/(Tt*st) Residuals 209 Jan-13 750.03 868.5548152 87.50457237 0.986848887 0.009868489 210 Feb-13 819.58 868.598452 89.31537968 1.056442957 0.01056443 211 Mar-13 908.1 868.6406251 97.6164217 1.0709536 0.010709536 212 Apr-13 980.49 868.6813833 101.7102002 1.109732091 0.011097321 213 May-13 1057.01 868.7207743 103.8383672 1.171766393 0.011717664 214 Jun-13 1157.65 868.7588436 107.3118674 1.241738897 0.012417389 215 Jul-13 1121.23 868.7956358 110.380944 1.169184299 0.011691843 216 Aug-13 1190.81 868.8311934 109.7244943 1.249118039 0.01249118 217 Sep-13 1119.72 868.865558 106.4237817 1.210927568 0.012109276 218 Oct-13 997.26 868.8987695 104.0159813 1.10341567 0.011034157 219 Nov-13 766 868.9308665 92.26314862 0.955466079 0.009554661 220 Dec-13 739.98 868.9618865 89.89484152 0.947293337 0.009472933
  • 136. t Months yt Trend Values Seasonal Indices yt*100/(Tt*st) Residuals 221 Jan-14 753.15 868.9918654 87.50457237 0.990455625 0.009904556 222 Feb-14 770.93 869.0208383 89.31537968 0.993249847 0.009932498 223 Mar-14 808.11 869.0488388 97.6164217 0.952584287 0.009525843 224 Apr-14 846.89 869.0758996 101.7102002 0.95808665 0.009580867 225 May-14 834.98 869.1020521 103.8383672 0.925225187 0.009252252 226 Jun-14 834.56 869.1273269 107.3118674 0.894800891 0.008948009 227 Jul-14 783.04 869.1517533 110.380944 0.81619557 0.008161956 228 Aug-14 768.17 869.1753598 109.7244943 0.805464396 0.008054644 229 Sep-14 771.03 869.1981739 106.4237817 0.833515699 0.008335157 230 Oct-14 732.15 869.2202222 104.0159813 0.809785833 0.008097858 231 Nov-14 717.87 869.2415304 92.26314862 0.895111352 0.008951114 232 Dec-14 769.23 869.2621233 89.89484152 0.984397917 0.009843979
  • 137. t Months yt Trend Values Seasonal Indices yt*100/(Tt*st) Residuals 233 Jan-15 758.02 869.2820249 87.50457237 0.99652734 0.009965273 234 Feb-15 704.17 869.3012584 89.31537968 0.906945023 0.00906945 235 Mar-15 633.29 869.3198462 97.6164217 0.746277163 0.007462772 236 Apr-15 612.13 869.3378099 101.7102002 0.69229403 0.00692294 237 May-15 608.64 869.3551706 103.8383672 0.674225849 0.006742258 238 Jun-15 629.9 869.3719484 107.3118674 0.675177923 0.006751779 239 Jul-15 640.11 869.3881629 110.380944 0.667032178 0.006670322 240 Aug-15 684.28 869.403833 109.7244943 0.717313011 0.00717313 241 Sep-15 631.91 869.4189769 106.4237817 0.682947667 0.006829477
  • 139.
  • 140. t yt ∆yt ∆2yt ∆3yt ∆4yt ∆5yt ∆6yt ∆7yt ∆8yt ∆9yt ∆10yt ∆11yt Sep-95 537.55 8.66 Oct-95 546.21 18.03 9.37 -148.41 Nov-95 564.24 -121.01 -139.04 234.35 382.76 -669.78 Dec-95 443.23 -25.7 95.31 -52.67 -287.02 320.03 989.81 - 1331.69
  • 141. t yt ∆yt ∆2yt ∆3yt ∆4yt ∆5yt ∆6yt ∆7yt ∆8yt ∆9yt ∆10yt ∆11yt Jan-96 417.53 16.94 42.64 -19.66 33.01 -21.85 -341.88 283.49 1615.18 -1502.62 Feb-96 434.47 39.92 22.98 -8.5 11.16 -80.24 -58.39 396.05 112.56 -1521.01 -18.39 5501.47 Mar-96 474.39 54.4 14.48 -77.58 -69.08 257.42 337.66 -1012.4 -1408.45 3962.07 5483.08 -15207.8 Apr-96 528.79 -8.7 -63.1 110.76 188.34 -417.32 -674.74 1541.22 2553.62 -5762.65 -9724.7221622.47 May-96 520.09 38.96 47.66 -118.22 -228.98 449.16 866.48 -1667.81 -3209.03 6135.1 11897.75 -22582.5 Jun-96 559.05 -31.6 -70.56 101.96 220.18 -352.17 -801.33 1258.26 2926.07 -4549.63 -10684.716555.73 Jul-96 527.45 -0.2 31.4 -30.03 -131.99 104.76 456.93 -365.3 -1623.56 1321.37 5871 -4884.41 Aug-96 527.25 1.17 1.37 -57.26 -27.23 196.39 91.63 -667.49 -302.19 2307.96 986.59 -8071.26 Sep-96 528.42 -54.72 -55.89 111.9 169.16 -379.47 -575.86 1338.28 2005.77 -4776.71 -7084.6717216.93 Oct-96 473.7 1.29 56.01 -98.41 -210.31 382.95 762.42 -1432.66 -2770.94 5355.5510132.26 -20031.7 Nov-96 474.99 -41.11 -42.4 74.23 172.64 -287.29 -670.24 1151.95 2584.61 -4543.89 -9899.4417698.97 Dec-96 433.88 -9.28 31.83 -40.42 -114.65 194.42 481.71 -807.33 -1959.28 3255.64 7799.53 -13022.4
  • 142. t yt ∆yt ∆2yt ∆3yt ∆4yt ∆5yt ∆6yt ∆7yt ∆8yt ∆9yt ∆10yt ∆11yt Jan-97 424.6 -17.87 -8.59 39.35 79.77 -131.2 -325.62 489.03 1296.36 -1967.21 -5222.85 8244.96 Feb-97 406.73 12.89 30.76 -12.08 -51.43 32.21 163.41 -181.82 -670.85 1054.9 3022.11 -5518.29 Mar-97 419.62 31.57 18.68 -31.3 -19.22 13.8 -18.41 202.23 384.05 -1441.28 -2496.18 7341.02 Apr-97 451.19 18.95 -12.62 -36.72 -5.42 197.62 183.82 -855 -1057.23 3403.56 4844.84 -13206.3 May-97 470.14 -30.39 -49.34 155.48 192.2 -473.56 -671.18 1491.33 2346.33 -4957.87 -8361.4317146.16 Jun-97 439.75 75.75 106.14 -125.88 -281.36 346.59 820.15 -1120.21 -2611.54 3826.86 8784.73 -13475.2 Jul-97 515.5 56.01 -19.74 -60.65 65.23 46.53 -300.06 95.11 1215.32 -863.57 -4690.43 4406.16 Aug-97 571.51 -24.38 -80.39 51.11 111.76 -158.42 -204.95 446.86 351.75 -1147.84 -284.27 2594.95 Sep-97 547.13 -53.66 -29.28 4.45 -46.66 83.49 241.91 -349.23 -796.09 1162.84 2310.68 -3551.17 Oct-97 493.47 -78.49 -24.83 41.28 36.83 -23.83 -107.32 17.52 366.75 -77.65 -1240.49 484.86 Nov-97 414.98 -62.04 16.45 54.28 13 -113.63 -89.8 306.62 289.1 -833.28 -755.63 2130.35 Dec-97 352.94 8.69 70.73 -46.35 -100.63 103.19 216.82 -237.56 -544.18 541.44 1374.72 -1053.08
  • 143. t yt ∆yt ∆2yt ∆3yt ∆4yt ∆5yt ∆6yt ∆7yt ∆8yt ∆9yt ∆10yt ∆11yt Jan-98 361.63 33.07 24.38 -43.79 2.56 82.45 -20.74 -240.3 -2.74 863.08 321.64 -3253.23 Feb-98 394.7 13.66 -19.41 41.22 85.01 -178.59 -261.04 620.04 860.34 -2068.51 -2931.59 6765.59 Mar-98 408.36 35.47 21.81 -52.36 -93.58 180.41 359 -588.13 -1208.17 1765.49 3834 -4939.02 Apr-98 443.83 4.92 -30.55 34.47 86.83 -48.72 -229.13 -30.81 557.32 660.47 -1105.02 -4090.04 May-98 448.75 8.84 3.92 72.58 38.11 -308.66 -259.94 1186.98 1217.79 -4534.59 -5195.0617406.35 Jun-98 457.59 85.34 76.5 -197.97 -270.55 618.38 927.04 -2129.82 -3316.8 7676.7 12211.29 -28375 Jul-98 542.93 -36.13 -121.47 149.86 347.83 -584.4 -1202.78 2230.08 4359.9 -8486.99 -16163.732409.97 Aug-98 506.8 -7.74 28.39 -86.71 -236.57 442.9 1027.3 -1897.01 -4127.09 7759.2916246.28 -31137.3 Sep-98 499.06 -66.06 -58.32 119.62 206.33 -426.81 -869.71 1735.19 3632.2 -7131.68 -14891 29107.86 Oct-98 433 -4.76 61.3 -100.86 -220.48 438.67 865.48 -1764.29 -3499.48 7085.2114216.89 -28488.1 Nov-98 428.24 -44.32 -39.56 117.33 218.19 -460.14 -898.81 1821.44 3585.73 -7185.99 -14271.228354.34 Dec-98 383.92 33.45 77.77 -124.62 -241.95 462.49 922.63 -1778.82 -3600.26 6897.1514083.14 -26784.6
  • 144. t yt ∆yt ∆2yt ∆3yt ∆4yt ∆5yt ∆6yt ∆7yt ∆8yt ∆9yt ∆10yt ∆11yt Jan-99 417.37 -13.4 -46.85 95.92 220.54 -393.7 -856.19 1518.07 3296.89 -5804.35 -12701.522192.94 Feb-99 403.97 35.67 49.07 -77.24 -173.16 268.18 661.88 -989.39 -2507.46 3687.09 9491.44 -13825.6 Mar-99 439.64 7.5 -28.17 17.78 95.02 -59.33 -327.51 190.24 1179.63 -647.03 -4334.12 2293.63 Apr-99 447.14 -2.89 -10.39 53.47 35.69 -196.6 -137.27 722.84 532.6 -2687.52 -2040.4910076.65 May-99 444.25 40.19 43.08 -107.44 -160.91 388.97 585.57 -1432.08 -2154.92 5348.64 8036.16 -20350.7 Jun-99 484.44 -24.17 -64.36 120.62 228.06 -457.54 -846.51 1761.64 3193.72 -6965.85 -12314.527896.24 Jul-99 460.27 32.09 56.26 -108.86 -229.48 457.59 915.13 -2010.49 -3772.13 8615.9 15581.75 -35968.5 Aug-99 492.36 -20.51 -52.6 119.25 228.11 -637.77 -1095.36 2833.28 4843.77 -11770.9 -20386.847474.46 Sep-99 471.85 46.14 66.65 -290.41 -409.66 1100.15 1737.92 -4093.83 -6927.11 15316.827087.68 -57750.8 Oct-99 517.99 -177.62 -223.76 400.08 690.49 -1255.76 -2355.91 4295.86 8389.69 -15346.3 -30663.156327.64 Nov-99 340.37 -1.3 176.32 -165.19 -565.27 684.19 1939.95 -2660.75 -6956.61 10318.24 25664.54 -40083.9 Dec-99 339.07 9.83 11.13 -46.27 118.92 -36.61 -720.8 700.88 3361.63 -4101.16 -14419.419495.95
  • 145. t yt ∆yt ∆2yt ∆3yt ∆4yt ∆5yt ∆6yt ∆7yt ∆8yt ∆9yt ∆10yt ∆11yt Jan-00 348.9 -25.31 -35.14 36.04 82.31 -56.53 -19.92 -38.65 -739.53 975.39 5076.55 -6470.25 Feb-00 323.59 -24.41 0.9 61.82 25.78 -115.1 -58.57 197.21 235.86 -418.31 -1393.7 1575.75 Mar-00 299.18 38.31 62.72 -27.5 -89.32 23.54 138.64 14.76 -182.45 -236.26 182.05 1074.65 Apr-00 337.49 73.53 35.22 -93.28 -65.78 176.94 153.4 -403.95 -418.71 1020.44 1256.7 -2714.38 May-00 411.02 15.47 -58.06 17.88 111.16 -73.61 -250.55 197.78 601.73 -437.24 -1457.68 646.86 Jun-00 426.49 -24.71 -40.18 55.43 37.55 -126.38 -52.77 362.27 164.49 -1248.06 -810.82 4703.32 Jul-00 401.78 -9.46 15.25 -33.4 -88.83 183.12 309.5 -721.3 -1083.57 2644.44 3892.5 -9485.48 Aug-00 392.32 -27.61 -18.15 60.89 94.29 -228.68 -411.8 839.57 1560.87 -2948.54 -5592.9810163.97 Sep-00 364.71 15.13 42.74 -73.5 -134.39 199.09 427.77 -548.1 -1387.67 1622.45 4570.99 -4967.09 Oct-00 379.84 -15.63 -30.76 -8.8 64.7 78.76 -120.33 -313.32 234.78 1226.35 -396.1 -4893.66 Nov-00 364.21 -55.19 -39.56 134.66 143.46 -354.89 -433.65 1147.81 1461.13 -4063.41 -5289.7615029.04 Dec-00 309.02 39.91 95.1 -76.77 -211.43 359.27 714.16 -1454.47 -2602.28 5675.87 9739.28 -21889.6
  • 146. t yt ∆yt ∆2yt ∆3yt ∆4yt ∆5yt ∆6yt ∆7yt ∆8yt ∆9yt ∆10yt ∆11yt Jan-01 348.93 58.24 18.33 71.07 147.84 -381.04 -740.31 1619.12 3073.59 -6474.41 -12150.325338.44 Feb-01 407.17 147.64 89.4 -162.13 -233.2 497.77 878.81 -1781.7 -3400.82 6713.7513188.16 -26071.8 Mar-01 554.81 74.91 -72.73 102.44 264.57 -405.12 -902.89 1531.23 3312.93 -6169.85 -12883.625427.96 Apr-01 629.72 104.62 29.71 -38.11 -140.55 223.22 628.34 -1325.69 -2856.92 6374.5112544.36 -27972.5 May-01 734.34 96.22 -8.4 44.56 82.67 -474.13 -697.35 2191.9 3517.59 -9053.67 -15428.236302.54 Jun-01 830.56 132.38 36.16 -346.9 -391.46 1020.42 1494.55 -3344.18 -5536.08 11820.69 20874.36 -43755.9 Jul-01 962.94 -178.36 -310.74 282.06 628.96 -829.21 -1849.63 2940.43 6284.61 -11060.8 -22881.542624.36 Aug-01 784.58 -207.04 -28.68 81.81 -200.25 261.59 1090.8 -1835.77 -4776.2 8682.0519742.86 -37193.4 Sep-01 577.54 -153.91 53.13 143.15 61.34 -483.38 -744.97 2070.08 3905.85 -8768.49 -17450.5 36370.5 Oct-01 423.63 42.37 196.28 -278.89 -422.04 841.73 1325.11 -2792.56 -4862.64 10151.47 18919.96 -38889 Nov-01 466 -40.24 -82.61 140.8 419.69 -625.72 -1467.45 2496.27 5288.83 -9817.61 -19969.138841.86 Dec-01 425.76 17.95 58.19 -65.23 -206.03 403.1 1028.82 -2032.51 -4528.78 9055.1718872.78 -38152.4
  • 147. t yt ∆yt ∆2yt ∆3yt ∆4yt ∆5yt ∆6yt ∆7yt ∆8yt ∆9yt ∆10yt ∆11yt Jan-02 443.71 10.91 -7.04 131.84 197.07 -600.59 -1003.69 2493.88 4526.39 -10224.5 -19279.641481.34 Feb-02 454.62 135.71 124.8 -271.68 -403.52 889.6 1490.19 -3204.18 -5698.06 11977.27 22201.72 -45755.6 Mar-02 590.33 -11.17 -146.88 214.4 486.08 -824.39 -1713.99 3075.03 6279.21 -11576.6 -23553.944053.34 Apr-02 579.16 56.35 67.52 -123.91 -338.31 536.65 1361.04 -2222.37 -5297.4 8922.8520499.46 -35345.6 May-02 635.51 -0.04 -56.39 74.43 198.34 -324.68 -861.33 1403.08 3625.45 -5923.33 -14846.2 24379.3 Jun-02 635.47 18 18.04 -51.91 -126.34 217.07 541.75 -894.8 -2297.88 3609.79 9533.12 -14410.8 Jul-02 653.47 -15.87 -33.87 38.82 90.73 -135.98 -353.05 417.11 1311.91 -1267.87 -4877.66 4196.17 Aug-02 637.6 -10.92 4.95 -6.43 -45.25 -71.92 64.06 461.15 44.04 -1949.36 -681.49 7078.7 Sep-02 626.68 -12.4 -1.48 -123.6 -117.17 453.29 525.21 -1444.17 -1905.32 4447.85 6397.21 -13297.8 Oct-02 614.28 -137.48 -125.08 212.52 336.12 -465.67 -918.96 1098.36 2542.53 -2452.74 -6900.59 4397.06 Nov-02 476.8 -50.04 87.44 82.97 -129.55 -286.27 179.4 1188.15 89.79 -4956.27 -2503.5320319.78 Dec-02 426.76 120.37 170.41 -332.85 -415.82 1081.28 1367.55 -3678.33 -4866.48 12859.98 17816.25 -45823.2
  • 148. t yt ∆yt ∆2yt ∆3yt ∆4yt ∆5yt ∆6yt ∆7yt ∆8yt ∆9yt ∆10yt ∆11yt Jan-03 547.13 -42.07 -162.44 332.61 665.46 -1229.5 -2310.78 4315.17 7993.5 -15146.9 -28006.953701.63 Feb-03 505.06 128.1 170.17 -231.43 -564.04 774.89 2004.39 -2838.27 -7153.44 10547.77 25694.71 -39322.1 Mar-03 633.16 66.84 -61.26 -20.58 210.85 -58.99 -833.88 556.06 3394.33 -3079.57 -13627.314516.23 Apr-03 700 -15 -81.84 131.28 151.86 -336.81 -277.82 870.82 314.76 -2190.68 888.89 5019.72 May-03 685 34.44 49.44 -53.67 -184.95 256.19 593 -1005.1 -1875.92 3717.93 5908.61 -13592.2 Jun-03 719.44 30.21 -4.23 17.57 71.24 -155.91 -412.1 836.91 1842.01 -3965.69 -7683.6217540.78 Jul-03 749.65 43.55 13.34 -67.1 -84.67 268.9 424.81 -1286.77 -2123.68 5891.47 9857.16 -25468.9 Aug-03 793.2 -10.21 -53.76 117.13 184.23 -593.06 -861.96 2481.02 3767.79 -9720.3 -15611.837292.09 Sep-03 782.99 53.16 63.37 -291.7 -408.83 1026 1619.06 -3471.49 -5952.51 11960.02 21680.32 -42123.2 Oct-03 836.15 -175.17 -228.33 325.47 617.17 -826.43 -1852.43 2536.02 6007.51 -8482.86 -20442.929561.63 Nov-03 660.98 -78.03 97.14 116.21 -209.26 -142.84 683.59 60.67 -2475.35 635.89 9118.75 -4045.5 Dec-03 582.95 135.32 213.35 -235.89 -352.1 601.42 744.26 -1778.79 -1839.46 5709.14 5073.25 -19186.5
  • 149. t yt ∆yt ∆2yt ∆3yt ∆4yt ∆5yt ∆6yt ∆7yt ∆8yt ∆9yt ∆10yt ∆11yt Jan-04 718.27 112.78 -22.54 13.43 249.32 -433.11 -1034.53 2090.89 3869.68 -8404.13 -14113.332017.49 Feb-04 831.05 103.67 -9.11 -170.36 -183.79 623.25 1056.36 -2443.56 -4534.45 9500.0917904.22 -36592.6 Mar-04 934.72 -75.8 -179.47 269.1 439.46 -763.95 -1387.2 2522.08 4965.64 -9188.26 -18688.435021.94 Apr-04 858.92 13.83 89.63 -55.39 -324.49 370.93 1134.88 -1700.54 -4222.62 7145.3316333.59 -29181.9 May-04 872.75 48.07 34.24 -8.95 46.44 -194.73 -565.66 1222.17 2922.71 -5703.02 -12848.424047.82 Jun-04 920.82 73.36 25.29 -157.24 -148.29 461.78 656.51 -1558.14 -2780.31 5496.4511199.47 -19650.8 Jul-04 994.18 -58.59 -131.95 156.25 313.49 -439.85 -901.63 1158 2716.14 -2954.83 -8451.28 7279.39 Aug-04 935.59 -34.29 24.3 29.89 -126.36 -183.48 256.37 919.31 -238.69 -4126.72 -1171.8917613.12 Sep-04 901.3 19.9 54.19 -279.95 -309.84 992.2 1175.68 -3446.1 -4365.41 12314.51 16441.23 -44802.1 Oct-04 921.2 -205.86 -225.76 402.41 682.36 -1278.22 -2270.42 4503 7949.1 -16046.4 -28360.957235.25 Nov-04 715.34 -29.21 176.65 -193.45 -595.86 954.36 2232.58 -3594.28 -8097.28 12827.98 28874.36 -45309.3 Dec-04 686.13 -46.01 -16.8 165.05 358.5 -407.34 -1361.7 1136.42 4730.7 -3606.92 -16434.912407.69