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# Westar beverage sales case (#47)

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Westar beverage sales case (#47)

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### Westar beverage sales case (#47)

1. 1. Regression Analysis r² 0.359 n 28 r 0.599 k 1 Std. Error 3845.950 Dep. Var. BEVTOTAL ANOVA table Source SS df MS F p-value Regression 215,468,679.6524 1 215,468,679.6524 14.57 .0008 Residual 384,574,674.4548 26 14,791,333.6329 Total 600,043,354.1071 27 Regression output confidence interval variables coefficients std. error t (df=26) p-value 95% lower 95% upper Intercept 21,497.1117 1,458.0430 14.744 3.85E-14 ### ### MONTH 309.8116 81.1726 3.817 .0008 142.9590 476.6642 Westar Beverage 35000 33000 31000 f(x) = 286.276 x + 21,698.492 29000 R² = 0.321 27000 BEVTOTAL 25000 23000 21000 19000 17000 15000 0 5 10 15 20 25 30 35 MONTH Correlation Matrix MONTH BEVTOTAL MONTH 1.000 BEVTOTAL .599 1.000 28 sample size ± .374 critical value .05 (two-tail) ± .479 critical value .01 (two-tail) Correlation Matrix MONTH BEVTOTAL BEVPUB BEVNITE FOODTOT FOODPUB FOODNITE MONTH 1.000 BEVTOTAL .599 1.000 BEVPUB -.676 -.365 1.000 BEVNITE .699 .971 -.576 1.000 FOODTOT .290 .376 -.408 .434 1.000 FOODPUB -.872 -.430 .675 -.550 -.410 1.000 FOODNITE .410 .416 -.486 .490 .989 -.541 1.000 ROOMS -.089 -.313 .134 -.309 .014 .085 -.001 28 sample size ± .374 critical value .05 (two-tail) ± .479 critical value .01 (two-tail)
2. 2. Regression Analysis r² 0.457 n 28 r -0.676 k 1 Std. Error 1030.580 Dep. Var. BEVPUB ANOVA table Source SS df MS F p-value Regression 23,278,328.9849 1 23,278,328.9849 21.92 .0001 Residual 27,614,481.8722 26 1,062,095.4566 Total 50,892,810.8571 27 Regression output confidence interval variables coefficients std. error t (df=26) p-value 99% lower 99% upper Intercept 8,392.0883 390.7045 21.479 4.51E-18 7,306.4320 9,477.7447 MONTH -101.8314 21.7514 -4.682 .0001 -162.2723 -41.3904 Regression Analysis r² 0.116 n 27 r 0.340 k 1 Std. Error 600.804 Dep. Var. FOODTOT ANOVA table Source SS df MS F p-value Regression 1,179,973.8078 1 1,179,973.8078 3.27 .0826 Residual 9,024,128.8588 25 360,965.1544 Total 10,204,102.6667 26 Regression output confidence interval variables coefficients std. error t (df=25) p-value 95% lower 95% upper Intercept 2,378.5942 231.5079 10.274 1.85E-10 1,901.7948 2,855.3936 MONTH 24.1157 13.3381 1.808 .0826 -3.3548 51.5861 Regression Analysis r² 0.766 n 27 r -0.875 k 1 Std. Error 54.188 Dep. Var. FOODPUB ANOVA table Source SS df MS F p-value Regression 240,420.5956 1 240,420.5956 81.88 2.32E-09 Residual 73,409.0340 25 2,936.3614 Total 313,829.6296 26 Regression output confidence interval variables coefficients std. error t (df=25) p-value 95% lower 95% upper std. coeff. Intercept 259.9821 20.8804 12.451 3.24E-12 216.9782 302.9860 0.000 MONTH -10.8855 1.2030 -9.049 2.32E-09 -13.3631 -8.4079 -0.875 Regression Analysis r² 0.206 n 27 r 0.454 k 1 Std. Error 619.367 Dep. Var. FOODNITE ANOVA table
3. 3. Source SS df MS F p-value Regression 2,485,645.5583 1 2,485,645.5583 6.48 .0175 Residual 9,590,402.2935 25 383,616.0917 Total 12,076,047.8519 26 Regression output confidence interval variables coefficients std. error t (df=25) p-value 95% lower 95% upper std. coeff. Intercept 2,118.6121 238.6611 8.877 3.35E-09 1,627.0804 2,610.1437 0.000 MONTH 35.0012 13.7503 2.545 .0175 6.6819 63.3204 0.454 Studentized Studentized Deleted Observation FOODNITE Predicted Residual Leverage Residual Residual 1 2,107.0 2,153.6 -46.6 0.134 -0.081 -0.079 2 2,141.0 2,188.6 -47.6 0.121 -0.082 -0.080 3 3,123.0 2,223.6 899.4 0.108 1.538 1.584 4 2,586.0 2,258.6 327.4 0.097 0.556 0.548 5 2,288.0 2,293.6 -5.6 0.087 -0.009 -0.009 6 2,454.0 2,328.6 125.4 0.077 0.211 0.207 7 2,171.0 2,363.6 -192.6 0.069 -0.322 -0.316 8 2,747.0 2,398.6 348.4 0.061 0.581 0.573 9 1,404.0 2,433.6 -1,029.6 0.055 -1.710 -1.783 10 1,642.0 2,468.6 -826.6 0.050 -1.369 -1.395 11 1,456.0 2,503.6 -1,047.6 0.045 -1.731 -1.808 12 2,486.0 2,538.6 -52.6 0.042 -0.087 -0.085 13 2,497.0 2,573.6 -76.6 0.039 -0.126 -0.124 14 2,465.0 2,678.6 -213.6 0.037 -0.352 -0.345 15 2,183.0 2,713.6 -530.6 0.039 -0.874 -0.870 16 3,589.0 2,748.6 840.4 0.041 1.386 1.413 17 3,010.0 2,783.6 226.4 0.045 0.374 0.367 18 3,275.0 2,818.6 456.4 0.049 0.756 0.749 19 3,225.0 2,853.6 371.4 0.055 0.617 0.609 20 3,448.0 2,888.6 559.4 0.061 0.932 0.929 21 3,835.0 2,923.6 911.4 0.068 1.524 1.568 22 3,785.0 2,958.6 826.4 0.077 1.388 1.416 23 3,198.0 2,993.6 204.4 0.086 0.345 0.339 24 2,657.0 3,028.6 -371.6 0.096 -0.631 -0.623 25 3,054.0 3,063.6 -9.6 0.108 -0.016 -0.016 26 2,930.0 3,098.6 -168.6 0.120 -0.290 -0.285 27 1,657.0 3,133.6 -1,476.6 0.133 -2.561 -2.921 Regression Analysis r² 0.027 n 27 r -0.164 k 1 Std. Error 634.814 Dep. Var. ROOMS ANOVA table Source SS df MS F p-value Regression 280,166.7841 1 280,166.7841 0.70 .4123 Residual 10,074,728.6233 25 402,989.1449 Total 10,354,895.4074 26 Regression output confidence interval variables coefficients std. error t (df=25) p-value 95% lower 95% upper std. coeff. Intercept 4,786.8469 244.6132 19.569 1.13E-16 4,283.0567 5,290.6371 0.000 MONTH -11.7509 14.0932 -0.834 .4123 -40.7764 17.2746 -0.164 Studentized Studentized Deleted Observation ROOMS Predicted Residual Leverage Residual Residual 1 4,154.0 4,775.1 -621.1 0.134 -1.051 -1.054 2 4,457.0 4,763.3 -306.3 0.121 -0.515 -0.507 3 5,077.0 4,751.6 325.4 0.108 0.543 0.535
4. 4. 4 4,456.0 4,739.8 -283.8 0.097 -0.471 -0.463 5 4,733.0 4,728.1 4.9 0.087 0.008 0.008 6 5,383.0 4,716.3 666.7 0.077 1.093 1.098 7 5,010.0 4,704.6 305.4 0.069 0.499 0.491 8 5,030.0 4,692.8 337.2 0.061 0.548 0.540 9 5,372.0 4,681.1 690.9 0.055 1.120 1.126 10 4,889.0 4,669.3 219.7 0.050 0.355 0.349 11 4,295.0 4,657.6 -362.6 0.045 -0.584 -0.577 12 3,425.0 4,645.8 -1,220.8 0.042 -1.964 -2.093 13 3,893.0 4,634.1 -741.1 0.039 -1.191 -1.201 14 4,395.0 4,598.8 -203.8 0.037 -0.327 -0.321 15 4,524.0 4,587.1 -63.1 0.039 -0.101 -0.099 16 5,044.0 4,575.3 468.7 0.041 0.754 0.747 17 5,174.0 4,563.6 610.4 0.045 0.984 0.983 18 6,331.0 4,551.8 1,779.2 0.049 2.874 3.442 19 4,706.0 4,540.1 165.9 0.055 0.269 0.264 20 4,259.0 4,528.3 -269.3 0.061 -0.438 -0.431 21 4,284.0 4,516.6 -232.6 0.068 -0.380 -0.373 22 3,364.0 4,504.8 -1,140.8 0.077 -1.870 -1.976 23 4,250.0 4,493.1 -243.1 0.086 -0.401 -0.394 24 4,342.0 4,481.3 -139.3 0.096 -0.231 -0.226 25 5,006.0 4,469.6 536.4 0.108 0.894 0.891 26 4,761.0 4,457.8 303.2 0.120 0.509 0.501 27 3,860.0 4,446.1 -586.1 0.133 -0.992 -0.991 normal distribution P(lower) P(upper) z .5000 .5000 0.00 t-distribution df = Hypothesis Test: Independent Groups (t-test, pooled variance) ROOMS Predicted 4,610.148 4,610.148 mean 631.083 103.806 std. dev. 27 27 n 52 df 0.0000 difference (ROOMS - Predicted) 204,520.4268 pooled variance 452.2393 pooled std. dev. 123.0840 standard error of difference 0 hypothesized difference 0.00 t 1.0000 p-value (two-tailed) F-distribution df1 = Hypothesis Test: Mean vs. Hypothesized Value 736,997.000 hypothesized value 26,321.321 mean BEVTOTAL 4,714.216 std. dev. 890.903 std. error 28 n 27 df -797.70 t 1.43E-60 p-value (two-tailed) Confidence interval - mean 95% confidence level
5. 5. 736997 mean 24443 std. dev. 28 n 1.960 z 9053.648 half-width 746050.648 upper confidence limit 727943.352 lower confidence limit
6. 6. ROOMS 1.000
7. 7. MONTH BEVTOTAL BEVPUB BEVNITE FOODTOT FOODPUB FOODNITE ROOMS 7 19051 8001 11050 2381 210 2171 5010 8 19235 8636 10599 2977 230 2747 5030 17 19624 6764 12860 2183 0 2183 4524 6 20404 6076 14328 2674 220 2454 5383 18 20459 6524 13935 3589 0 3589 5044 19 20956 4209 16747 3010 0 3010 5174 5 21447 7011 14436 2508 220 2288 4733 9 21498 9064 12434 1624 220 1404 5372 2 22924 7238 15686 2341 200 2141 4457 13 23483 8186 15297 2497 0 2497 3893 1 24443 7254 17189 2317 210 2107 4154 11 25600 7794 17806 1676 220 1456 4295 16 26004 7703 18301 2465 0 2465 4395 10 26619 8760 17859 1852 210 1642 4889 3 27501 8150 19351 3353 230 3123 5077 26 28163 4421 23742 2657 0 2657 4342 30 28896 6222 22674 2407 0 2407 5300 21 29098 5321 23777 3225 0 3225 4706 4 29282 8081 21201 2796 210 2586 4456 29 29468 5180 24288 1657 0 1657 3860 20 29754 7084 22670 3275 0 3275 6331 25 30095 6935 23160 3198 0 3198 4250 12 30373 8171 22202 2706 220 2486 3425 22 30559 5879 24680 3448 0 3448 4259 23 31038 5882 25156 3835 0 3835 4284 28 33139 6033 27106 2930 0 2930 4761 24 33833 4440 29393 3785 0 3785 3364 27 34051 5561 28490 3054 0 3054 5006 736997 26321.32
8. 8. VARIABLES MONTH = Month number (1=January) BEVTOTAL = Total beverage sales, pub and nightclub BEVPUB = Beverage sales for pub BEVNITE = Beverage sales for night club FOODTOT = Total amount spent on food, pub and night club. FOODPUB = Amount spent on food for pub. FOODNITE = Amount spent on food for night club. ROOMS = Total room occupancy for Westar.