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1. Environmental Engineering
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Matlab Homework Help

2. Problem 1
Continue your investigation of Massachusetts Water Resources Authority (MWRA) Boston Harbor data
by carrying out a two factor ANOVA which considers both rainfall and date. For Factor A (rainfall)
your treatments should be the same three rainfall intensity categories used in Problem Set 8. For Factor
B (date) use two treatments: 1) dates through 1991 and 2) dates after 1991. The dates are included in
the file lowercharles.txt that you used in Problem Set 8
.
You should use the internal MATLAB function ANOVA2 to carry out your two-factor analysis. This
function can handle treatments that have different numbers of replicates. However, if you prefer to adopt
the equal replicate assumption, you can force each treatment to have the same number of replicates (as
assumed in the lecture notes) by randomly selecting the same number of measurements from the
coliform population available for each treatment combination.
As before, convert the coliform count C to the transformed count CT = ln (C+1) and check for normality.
Present the two factor ANOVA table, report the p value, and discuss the significance of your results.
Problem 1 Solution
% Problem Set 9 -- Problem 1 clear all
close all
% edited lowercharles3 in excel: deleted unnecessary columns
% replaced blank rain with zeros load lowercharles3.txt;
date=lowercharles3(:,1); coli=log(lowercharles3(:,2)+1);
rain=lowercharles3(:,3);
Matlab Homework Help

3. 3
p=1; q=1; r=1; s=1; u=1; v=1;
for i=1:length(coli)
if rain(i)==0&date(i)<33790 T1(p)=coli(i);
p=p+1;
elseif rain(i)==0&date(i)>=33790 T4(s)=coli(i);
s=s+1;
elseif (rain(i)>0&rain(i)<=0.25)&date(i)<33790 T2(q)=coli(i);
q=q+1;
elseif (rain(i)>0&rain(i)<=0.25)&date(i)>=33790 T5(u)=coli(i);
u=u+1;
elseif rain(i)>.25&date(i)<33790 T3(r)=coli(i);
r=r+1;
elseif rain(i)>.25&date(i)>=33790 T6(v)=coli(i);
v=v+1;
end
end
number=min([(length(T1)), (length(T2)), (length(T3)),(length(T4)),
(length(T5)), (length(T6))]); index1=randperm(length(T1));
ctreat1=T1(index1(1:number)); index2=randperm(length(T2));
ctreat2=T2(index2(1:number)); index3=randperm(length(T3));
ctreat3=T3(index3(1:number)); index4=randperm(length(T4));
ctreat4=T4(index4(1:number)); index5=randperm(length(T5));
ctreat5=T5(index5(1:number)); index6=randperm(length(T6));
ctreat6=T6(index6(1:number));
figure
normplot([ctreat1-mean(ctreat1),ctreat2-mean(ctreat2),ctreat3-
mean(ctreat3),ctreat4-mean(ctreat4), ctreat5-mean(ctreat5), ctreat6-
mean(ctreat6)])
title('Normality check for transformed coliform data')
matrix=[ctreat1', ctreat2', ctreat3', ctreat4', ctreat5', ctreat6'];
Matlab Homework Help

4. anova2(matrix,58)
Problem 2
Consider the following set of data relating evaporation rate L (mm/hr) to soil temperature T
(in degree C.):
Temperature (Ti): [10 12 15 17 22 24]
Evaporation rate (Ri): [5.0001 5.0464 10.7850 2.8780 12.2845 14.6869]
Carry out a regression analysis for this problem using the following model:
L = a1T + e [1]
E[L]= a1T[2]
This model implies that the measurement Li at temperature Ti is a random variable composed of a term
proportional to Ti and a zero mean random residual ei :
Li = a1Ti + ei ; i = 1,…,6 [3] Carry out the regression analysis by performing the
following steps:
1.Write a symbolic expression for SSE, the sum-of-squared prediction errors, as a function of Li, and Ti
(don’t substitute numerical values in for Li and Ti at this point).
Matlab Homework Help

5. 2. Find the value of a1 that minimizes the SSE by setting the derivative dSSE/da1 equal to zero. Solve
the resulting minimization equation for a1. This minimizing value of a1 is the least-squares estimate
aˆ1. Your symbolic expression for aˆ1 should be a linear function of the individual measurements
L1… L6.
3. Substitute the numerical values for the Ti and Li (i = 1,…6) in your symbolic expression for aˆ1.
Then substitute aˆ1 in the prediction equation Lˆ  aˆ1T to get an expression that predicts L for any
T.
4. Use MATLAB to plot your prediction equation over an appropriate range of T values.
Also, use hold on to plot the specified values of Ti and measured values of Li on the same axes.
Comment on the quality of your “fit”.
5. Compute the mean and variance of aˆ1 from your estimation equation. To do this you need to
substitute the right-hand side of Eq [3] above for each of the measurements Li,
i = 1…6 in the aˆ1 equation. Then invoke the definitions of the mean and variance and
take advantage of the properties of linear functions of independent random variables (in this case
the independent random variables are the ei ’s).
Matlab Homework Help

6. 6.Assume the residual errors are zero mean and normally distributed. Compute a two- sided 95%
confidence interval for a1 using the appropriate small sample (t) statistic.
7.Finally, check all of your results by analyzing the same data with the internal MATLAB function
regress. Please carefully review the MATLAB help documentation for this function to make sure that
the confidence interval computed by MATLAB and the confidence interval you derive yourself are
consistent.
Problem 2 Solution
% Problem Set 9 -- Problem 2 clear all
close all
T=[10 12 15 17 22 24];
L=[5.0001 5.0464 10.7850 2.8780 12.2845 14.6869]; N=6
Y=L';
H=[T'];
ahat=(H'*H)(H'*Y) figure plot(T,L,'*')
hold x=5:.01:25;
plot(x,ahat*x)
[B,BINT,R,RINT,STATS] =regress(Y,H,.05)
vare=1/(6-1)*sum((L-ahat*T).^2)
% confidence interval limits
upperlim=ahat-tinv(.025,N-1)*sqrt(vare*inv(H'*H))
lowerlim=ahat-tinv(.975,N-1)*sqrt(vare*inv(H'*H))
%[deg C]
%[mm/hr]
Problem 3
In this problem you will perform a regression analysis of temporal trends in global population data. The
data you need are located at the UN Population Division web site (Panel 2: Detailed Data):
http://esa.un.org/unpp/index.asp?panel=2 Download the following annual data sets:
Population by sex (annual), medium variant
Use the column labeled (“both sexes combined”)
Matlab Homework Help

7. For the following 2 regions:
More developed regions Less developed regions
For all years 1950-2000.
You can examine the data using the “display” option on the web site but should download the
data as a .CSV file. If you have EXCEL you can view the downloaded data in a spreadsheet and
then extract particular sections to put into MATLAB.
Carry out a regression analysis for each of the 2 data sets using a MATLAB code that constructs
the various arrays and plots required to analyze the data and display the results. You can use the
MATLAB function regress in your code (this function will compute the regression
coefficients for you). Note that the matrix X mentioned in the regress documentation is the
same as the matrix H discussed in the notes.
Your regression analysis should fit a quadratic function to the 1950-2000 data and, for each of the
2 data sets, plot the regression function and the data over the period 1950-2030 (the portion from
2001-2030 will include only the regression function since it predicts beyond the data period). To
improve numerical accuracy define your independent variable to be x =
year-1949, so x varies from 1 to 81.
-1
2 2
Plot prediction confidence intervals over the entire 1950-2030 period to get a feeling for how well your
function might predict population. Use the prediction confidence interval expression given at the end of
the Class 23 Lecture Note.s. Note that you will need to compute
the sample standard deviation se of the measurement residuals (these residuals are returned by
regress in the array r). You will also have to compute the matrix (HH) , which is just
inv(H*H’) in MATLAB. In order to construct your confidence interval curves you should
evaluate the x value in the array h(x) for each year from 1950 to 2030 [i.e. h(1) = a1+a2(1)+a3
(1) , h(2) = a1+a2(2)+a3 (2) , etc.].
Comment on the implications of your predictions. Also, comment on the limitations of the prediction
confidence intervals produced by your regression analysis.
Matlab Homework Help

8. Problem 3 Solution
% Problem Set 9 -- Problem 3 clear all
close all
load UNPop.txt year=UNPop(:,1)-1949;
morepop=UNPop(:,2);
lesspop=UNPop(:,3); H=[ones(length(year),1),year,year.*year]; Ymore=morepop;
Yless=lesspop; ahatmore=(H'*H)(H'*Ymore) ahatless=(H'*H)(H'*Yless)
[Bm,BINTm,Rm,RINTm,STATSm] =regress(Ymore,H,.05) [Bl,BINTl,Rl,RINTl,STATSl]
=regress(Yless,H,.05) x=1:1:81;
sem=std(Rm) sel=std(Rl) mat=inv(H'*H);
smallh=[ones(length(x),1),x',x'.^2];
yhatmore=ahatmore(1)+ahatmore(2)*x+ahatmore(3)*x.^2;
yhatless=ahatless(1)+ahatless(2)*x+ahatless(3)*x.^2; for j=1:length(x)
ymoreupper(j)=yhatmore(j)+ …
1.96*(smallh(j,:)*sem^2*mat*smallh(j,:)')^(1/2); ymorelower(j)=yhatmore(j)-
… 1.96*(smallh(j,:)*sem^2*mat*smallh(j,:)')^(1/2);
ylessupper(j)=yhatless(j)+ …
1.96*(smallh(j,:)*sel^2*mat*smallh(j,:)')^(1/2); ylesslower(j)=yhatless(j)-
… 1.96*(smallh(j,:)*sel^2*mat*smallh(j,:)')^(1/2);
end
% for more developed regions: calculate upper and
% lower curves:
Matlab Homework Help

9. igure (1) plot(year+1949,morepop,'*') hold
plot(x+1949,yhatmore)
title('Population in More Developed Countries vs Year') xlabel('Year')
ylabel('Population')
plot(x+1949,ymoreupper,'--') plot(x+1949,ymorelower,'--')
% for less developed regions: calculate upper and
% lower curves:
figure (2) plot(year+1949,lesspop,'*') hold
plot(x+1949,yhatless)
title('Population in Less Developed Countries vs Year') xlabel('Year')
ylabel('Population')
plot(x+1949,ylessupper,'--') plot(x+1949,ylesslower,'--')
Matlab Homework Help

10. STAT_ID DATE Julian coli.
6
6
6
6
6
6
09/17/91
09/18/91
09/19/91
09/20/91
07/06/92
07/07/92
33498
33499
33500
33501
33791
33792
17500
1180
645
3200
1710
795
9
9
9
9
9
9
21.7
22.9
22.8
20.8
22.2
22.8
0.12
0
0.77
1.027277957
0.354682957
0.23
TIDE temp Rain
6 06/08/89 32667 1070 9 20 0.49132474
6 06/13/89 32672 990 9 19 0.15
6 06/14/89 32673 490 9 0.15
6 06/15/89 32674 730 9 19 0.755049667
6 06/19/89 32678 1025 9 21 0.08
6 06/20/89 32679 1445 9 22.5 0.08
6 06/21/89 32680 1080 9 23 0
6 06/22/89 32681 7400 9 25 0
6 06/26/89 32685 150 9 27 0
6 07/09/90 33063 313 9 23.7 0.02
6 07/10/90 33064 305 9 24.6 0.02
6 07/11/90 33065 340 9 24 0.02
6 07/12/90 33066 663 9 23.5 0.68
6 07/13/90 33067 3475 9 22.5 0.69050706
6 07/14/90 33068 390 9 25 0.69050706
6 07/16/90 33070 470 9 24.5 0
6 07/17/90 33071 1175 9 25.2 0
6 07/18/90 33072 568 9 25.2 0
6 07/19/90 33073 183 9 26.3 0
6 07/20/90 33074 210 9 26.9 0.29
6 07/21/90 33075 495 9 26.9 0.29
6 07/23/90 33077 95 9 27.6 0.02
6 07/24/90 33078 148 9 26.6 0.790253124
6 07/25/90 33079 22600 9 25.6 2.076174366
6 07/26/90 33080 12550 9 24 2.076174366
6 07/27/90 33081 1100 9 23.9 1.92
6 07/28/90 33082 620 9 24 0.01
6 07/31/90 33085 635 9 25.5 0
6 10/22/90 33168 1700 9 13.7 0
6 10/23/90 33169 1045 9 13.9 0.68
6 10/24/90 33170 3600 9 14.1 0.920217366
6 10/25/90 33171 2025 9 14 0.920217366
6 10/30/90 33176 885 9 8.4 0.33
6 10/31/90 33177 1013 9 8.2 0
6 11/01/90 33178 1950 9 8.9 0
6 11/05/90 33182 2350 9 10.5 0
6 11/06/90 33183 1350 9 10.9 0.57
6 11/07/90 33184 265 9 9.9 0.57
6 11/08/90 33185 2400 9 9.1 0.570788928
6 09/03/91 33484 185 9 22.5 0
6 09/04/91 33485 875 9 22.2 0
6 09/05/91 33486 1750 9 22.1 0.89
6 09/09/91 33490 290 9 22.6 0
6 09/10/91 33491 145 9 22.1 0
6 09/11/91 33492 1350 9 21.9 0
6 09/12/91 33493 1170 9 21.3 0
6 09/13/91 33494 660 9 21.2 0
6 09/16/91 33497 355 9 20.9 0.13
Matlab Homework Help

11. 6
6
6
6
6
6
06/23/95
06/24/95
06/25/95
06/26/95
06/27/95
06/27/95
34873
34874
34875
34876
34877
34877
785
490
1040
3200
900
1250
9
9
9
9
9
9
24
24.2
24.8
25.6
24.2
24.2
0
0
0.06
0.06
0.06
0.06
6 07/08/92 33793 845 9 23.2 0.23
6 07/09/92 33794 7800 9 21.9 0.47
6 07/10/92 33795 3750 9 22.5 0.47
6 07/13/92 33798 2310 9 23.8 0.18
6 07/14/92 33799 600 9 23.5 0.2
6 07/15/92 33800 1275 9 23.1 0.447213595
6 07/17/92 33802 850 9 23.5 0.40012498
6 07/20/92 33805 985 9 25.8 0.01
6 07/21/92 33806 915 9 25.6 0
6 07/22/92 33807 595 9 24.9 0
6 07/23/92 33808 110 9 24.3 0.37
6 07/24/92 33809 355 9 24.3 0.37
6 07/25/92 33810 120 9 24.1 0.37
6 07/27/92 33812 365 9 23.3 0
6 07/28/92 33813 1050 9 23.4 0
6 07/29/92 33814 665 9 23.5 0.05
6 07/30/92 33815 1350 9 22.7 0.05
6 07/31/92 33816 2300 9 23.1 0.432897216
6 06/14/93 34134 150 9 22.3 0
6 06/16/93 34136 485 9 22.6 0.03
6 06/18/93 34138 360 9 23.6 0
6 06/19/93 34139 18400 9 24.5 0.56
6 06/21/93 34141 600 9 23.4 0.574456265
6 06/24/93 34144 405 9 22.8 0
6 06/25/93 34145 460 9 25 0
6 06/28/93 34148 515 9 25 0.070710678
6 06/29/93 34149 1155 9 25 0.081240384
6 06/30/93 34150 565 9 25.9 0.080622577
6 07/02/93 34152 135 9 24.8 0
6 06/21/94 34506 315 9 25.5 0.09
6 06/22/94 34507 270 9 24.3 0.09
6 06/23/94 34508 115 9 24.5 0.09
6 06/24/94 34509 320 9 23.8 0.01
6 06/25/94 34510 355 9 23 0.11045361
6 06/29/94 34514 175 9 24 0.27
6 06/30/94 34515 375 9 24 0.27
6 07/01/94 34516 575 9 24.8 0.27
6 07/02/94 34517 445 9 24.5 0
6 07/05/94 34520 140 9 25.5 0
6 07/07/94 34522 145 9 27.5 0.06
6 07/08/94 34523 125 9 27.5 0.06
6 07/09/94 34524 5900 9 26.7 0.06
6 06/12/95 34862 1200 9 21.1 0.245153013
6 06/12/95 34862 780 9 21.1 0.245153013
6 06/13/95 34863 535 9 0.310161248
6 06/14/95 34864 160 9 20.2 0.319061123
6 06/15/95 34865 920 9 19.9 0.214009346
6 06/16/95 34866 3800 9 19.7 0.098488578
6 06/20/95 34870 1800 9 25 0
6 06/21/95 34871 530 9 24 0
6 06/22/95 34872 340 9 0
Matlab Homework Help

12. 7
7
7
7
7
7
07/17/90
07/18/90
07/19/90
07/20/90
07/21/90
07/23/90
33071
33072
33073
33074
33075
33077
1150
640
213
125
80
95
9
9
9
9
9
9
24.8
25.6
25.4
26.2
26.7
27.1
0
0
0
0.29
0.29
0.02
6 06/28/95 34878 1550 9 23.4 0
6 06/29/95 34879 575 9 24 0
6 06/30/95 34880 4400 9 23.6 0
6 07/01/95 34881 910 9 22.8 0.09
6 07/02/95 34882 350 9 23.6 0.09
6 07/06/95 34886 400 9 24.2 0
6 07/07/95 34887 45 9 24.5 0
6 07/08/95 34888 25 9 24 0.26
6 07/09/95 34889 95 9 23.7 0.26
6 07/08/96 35254 570 24.5 0
6 07/09/96 35255 4000 25.1 0.12
6 07/11/96 35257 1030 24.3 0.12
6 07/12/96 35258 1490 0
6 07/14/96 35260 6200 21.8 3.36
6 07/15/96 35261 2000 23.5 3.36
6 07/16/96 35262 1350 24.3 0.01
6 07/17/96 35263 1350 25.2 0.01
6 07/17/96 35263 1450 25.2 0.01
6 07/18/96 35264 1500 25.5 0.01
6 07/19/96 35265 1610 0.08
6 07/21/96 35267 940 22.8 0.08
6 07/22/96 35268 1070 23.8 0
6 07/23/96 35269 390 23.1 0.76
6 07/24/96 35270 1150 22.3 0.76
6 07/25/96 35271 280 22.5 0.76
6 07/26/96 35272 3450 22.3 0.11
6 07/27/96 35273 525 22.7 0.11
6 07/29/96 35275 1070 23.8 0
6 07/30/96 35276 780 23.5 0
6 07/31/96 35277 375 23.1 0.31
6 08/01/96 35278 2200 22.4 0.3114
6 08/01/96 35278 1700 22.4 0.3114
6 08/02/96 35279 2650 21.9 0.3114
6 08/03/96 35280 290 22.7 0.03
7 06/07/89 32666 525 9 22 0.389101529
7 06/08/89 32667 12500 9 19 0.49132474
7 06/13/89 32672 400 9 0.15
7 06/14/89 32673 1020 9 0.15
7 06/15/89 32674 985 9 19 0.755049667
7 06/19/89 32678 1380 9 21 0.08
7 06/20/89 32679 680 9 22 0.08
7 06/21/89 32680 955 9 19 0
7 06/22/89 32681 8000 9 26 0
7 06/26/89 32685 200 9 27 0
7 07/09/90 33063 393 9 23.5 0.02
7 07/10/90 33064 365 9 24.5 0.02
7 07/11/90 33065 700 9 24.5 0.02
7 07/12/90 33066 433 9 23.4 0.68
7 07/13/90 33067 3650 9 23 0.69050706
7 07/14/90 33068 540 9 26.6 0.69050706
7 07/16/90 33070 958 9 24 0
Matlab Homework Help

13. 8
8
8
8
8
8
07/13/90
07/14/90
07/16/90
07/17/90
07/18/90
07/19/90
33067
33068
33070
33071
33072
33073
10600
930
473
1900
515
175
9
9
9
9
9
9
23.1
25
24
24.9
25.9
25.9
0.69050706
0.69050706
0
0
0
0
7 07/24/90 33078 225 9 26.5 0.790253124
7 07/25/90 33079 78500 9 25.8 2.076174366
7 07/26/90 33080 18850 9 24.2 2.076174366
7 07/26/90 33080 22100 9 24.2 2.076174366
7 07/27/90 33081 2150 9 25.2 1.92
7 07/28/90 33082 475 9 25.1 0.01
7 07/31/90 33085 515 9 25 0
7 10/22/90 33168 440 9 14.3 0
7 10/23/90 33169 5200 9 14.4 0.68
7 10/24/90 33170 3850 9 14.3 0.920217366
7 10/25/90 33171 1475 9 14.2 0.920217366
7 10/30/90 33176 1700 9 9.4 0.33
7 10/31/90 33177 848 9 8.7 0
7 11/01/90 33178 968 9 8.9 0
7 11/05/90 33182 528 9 10.2 0
7 11/06/90 33183 2450 9 10.8 0.57
7 11/07/90 33184 150 9 9.8 0.57
7 11/08/90 33185 4125 9 9.6 0.570788928
7 09/03/91 33484 1685 9 22.3 0
7 09/04/91 33485 1425 9 22.1 0
7 09/05/91 33486 950 9 22.2 0.89
7 09/06/91 33487 5400 9 21.7 0.89
7 09/09/91 33490 855 9 23.4 0
7 09/10/91 33491 775 9 22.5 0
7 09/11/91 33492 755 9 22.2 0
7 09/12/91 33493 455 9 22 0
7 09/13/91 33494 720 9 21.4 0
7 09/16/91 33497 2650 9 21 0.13
7 09/17/91 33498 2950 9 21.5 0.12
7 09/17/91 33498 2750 9 21.5 0.12
7 09/18/91 33499 1670 9 22.5 0
7 09/19/91 33500 1280 9 23 0.77
7 09/20/91 33501 9200 9 21 1.027277957
8 06/06/89 32665 1355 9 21 0.17
8 06/07/89 32666 1485 9 21 0.389101529
8 06/08/89 32667 2295 9 20 0.49132474
8 06/13/89 32672 645 9 0.15
8 06/14/89 32673 200 9 0.15
8 06/15/89 32674 1095 9 15 0.755049667
8 06/19/89 32678 765 9 21 0.08
8 06/20/89 32679 560 9 23 0.08
8 06/21/89 32680 980 24 0
8 06/21/89 32680 875 9 24 0
8 06/22/89 32681 8600 9 26 0
8 06/26/89 32685 800 9 26 0
8 06/26/89 32685 100 9 26 0
8 06/27/89 32686 1145 9 28 0
8 07/09/90 33063 163 9 24 0.02
8 07/10/90 33064 2075 9 24.8 0.02
8 07/11/90 33065 795 9 23.8 0.02
8 07/12/90 33066 675 9 23.5 0.68
Matlab Homework Help

14. 8
8
8
8
8
8
8
07/28/92
07/29/92
07/30/92
07/31/92
06/14/93
06/16/93
06/18/93
33813
33814
33815
33816
34134
34136
34138
645
1175
1270
1950
100
90
405
9
9
9
9
9
9
9
23.4
23.6
23
23.2
21.3
21.7
23.2
0
0.05
0.05
0.432897216
0
0.03
0
8 07/20/90 33074 230 9 26.8 0.29
8 07/23/90 33077 133 9 27 0.02
8 07/24/90 33078 118 9 25 0.790253124
8 07/25/90 33079 69300 9 25.4 2.076174366
8 07/26/90 33080 26850 9 25 2.076174366
8 07/27/90 33081 2050 9 25 1.92
8 07/28/90 33082 590 9 24.8 0.01
8 07/31/90 33085 775 9 25.1 0
8 10/22/90 33168 2100 9 14.5 0
8 10/23/90 33169 1925 9 14.7 0.68
8 10/24/90 33170 10875 9 14.4 0.920217366
8 10/25/90 33171 1825 9 14.3 0.920217366
8 10/30/90 33176 1625 9 10.1 0.33
8 10/31/90 33177 6850 9 9.1 0
8 11/01/90 33178 1475 9 10.4 0
8 11/05/90 33182 58 9 11.6 0
8 11/06/90 33183 8800 9 11 0.57
8 11/07/90 33184 258 9 10.1 0.57
8 11/08/90 33185 1775 9 9.4 0.570788928
8 09/03/91 33484 150 9 22.9 0
8 09/04/91 33485 1495 9 22.8 0
8 09/05/91 33486 150 9 22.1 0.89
8 09/06/91 33487 2127 9 22.2 0.89
8 09/09/91 33490 1030 9 24.9 0
8 09/10/91 33491 850 9 22.3 0
8 09/11/91 33492 520 9 22.3 0
8 09/12/91 33493 735 9 21.8 0
8 09/13/91 33494 295 9 22 0
8 09/16/91 33497 550 9 21.2 0.13
8 09/17/91 33498 3000 9 22.1 0.12
8 09/18/91 33499 1220 9 22.8 0
8 09/19/91 33500 1545 9 22.9 0.77
8 09/20/91 33501 8400 9 21.7 1.027277957
8 07/06/92 33791 325 9 22.1 0.354682957
8 07/07/92 33792 650 9 22.9 0.23
8 07/08/92 33793 610 9 23.4 0.23
8 07/09/92 33794 360 9 22.5 0.47
8 07/10/92 33795 4850 9 22.5 0.47
8 07/13/92 33798 1080 9 23.4 0.18
8 07/14/92 33799 1145 9 23.2 0.2
8 07/15/92 33800 3100 9 22.8 0.447213595
8 07/17/92 33802 1095 9 23.1 0.40012498
8 07/18/92 33803 675 9 24 0.014142136
8 07/20/92 33805 360 9 26 0.01
8 07/21/92 33806 500 9 25.4 0
8 07/22/92 33807 705 9 24.8 0
8 07/23/92 33808 865 9 24.1 0.37
8 07/24/92 33809 350 9 23.8 0.37
8 07/25/92 33810 90 9 25.1 0.37
8 07/27/92 33812 210 9 23.3 0
Matlab Homework Help

15. 8
8
8
8
8
8
8
07/08/96
07/08/96
07/09/96
07/11/96
07/12/96
07/12/96
07/14/96
35254
35254
35255
35257
35258
35258
35260
30
40
65
155
310
70
17600
23.6
23.6
24.2
0
0
0.12
0.12
24.5
0
0 22.6 3.36
8 06/19/93 34139 550 9 23.5 0.56
8 06/21/93 34141 1135 9 22.8 0.574456265
8 06/23/93 34143 1110 9 22.4 0.08
8 06/24/93 34144 355 9 22.7 0
8 06/25/93 34145 760 9 23.1 0
8 06/26/93 34146 125 9 22.8 0
8 06/28/93 34148 115 9 24.3 0.070710678
8 06/29/93 34149 205 9 24.6 0.081240384
8 06/30/93 34150 15 9 25.4 0.080622577
8 07/02/93 34152 100 9 24.2 0
8 06/21/94 34506 110 9 25.3 0.09
8 06/22/94 34507 280 9 24.2 0.09
8 06/23/94 34508 385 9 24.2 0.09
8 06/24/94 34509 355 9 23.5 0.01
8 06/25/94 34510 295 9 22.7 0.11045361
8 06/28/94 34513 445 9 23.8 0
8 06/29/94 34514 180 9 24.1 0.27
8 06/30/94 34515 320 9 23.8 0.27
8 07/01/94 34516 325 9 24.5 0.27
8 07/02/94 34517 270 9 24.6 0
8 07/05/94 34520 130 9 25.1 0
8 07/07/94 34522 30 9 27.4 0.06
8 07/08/94 34523 175 9 27.4 0.06
8 07/09/94 34524 190 9 26.4 0.06
8 06/12/95 34862 485 9 21.1 0.245153013
8 06/13/95 34863 250 9 0.310161248
8 06/14/95 34864 1010 9 20.4 0.319061123
8 06/15/95 34865 680 9 20.1 0.214009346
8 06/16/95 34866 275 9 20.1 0.098488578
8 06/20/95 34870 715 9 23.8 0
8 06/21/95 34871 415 9 23.6 0
8 06/23/95 34873 115 9 22.8 0
8 06/24/95 34874 180 9 24 0
8 06/24/95 34874 140 9 24 0
8 06/24/95 34874 75 9 24 0
8 06/24/95 34874 75 9 24 0
8 06/25/95 34875 20 9 24.7 0.06
8 06/25/95 34875 20 9 24.7 0.06
8 06/26/95 34876 80 9 24.5 0.06
8 06/27/95 34877 20 9 23.6 0.06
8 06/28/95 34878 35 9 23 0
8 06/29/95 34879 50 9 23.4 0
8 06/30/95 34880 10 9 23.6 0
8 07/01/95 34881 20 9 23.3 0.09
8 07/02/95 34882 45 9 23.6 0.09
8 07/06/95 34886 60 9 24.1 0
8 07/07/95 34887 20 9 24.5 0
8 07/07/95 34887 5 9 24.5 0
8 07/08/95 34888 15 9 24.7 0.26
8 07/09/95 34889 1350 9 24 0.26
Matlab Homework Help

16. 9
9
9
9
9
9
9
07/23/90
07/24/90
07/25/90
07/26/90
07/27/90
07/28/90
07/31/90
33077
33078
33079
33080
33081
33082
33085
90
20
3200
24000
2150
505
595
9
9
9
9
9
9
9
26.9
26.9
25.8
24.8
24.6
24.7
24.9
0.02
0.790253124
2.076174366
2.076174366
1.92
0.01
0
8 07/15/96 35261 5350 23.1 3.36
8 07/16/96 35262 150 23.8 0.01
8 07/17/96 35263 115 24.8 0.01
8 07/18/96 35264 190 25 0.01
8 07/19/96 35265 345 24.7 0.08
8 07/21/96 35267 160 22.8 0.08
8 07/21/96 35267 95 22.8 0.08
8 07/22/96 35268 60 23.8 0
8 07/23/96 35269 35 23.1 0.76
8 07/24/96 35270 350 22.2 0.76
8 07/25/96 35271 355 22.5 0.76
8 07/26/96 35272 205 22.6 0.11
8 07/27/96 35273 180 22.6 0.11
8 07/29/96 35275 435 23.7 0
8 07/30/96 35276 350 23.5 0
8 07/31/96 35277 160 23.1 0.31
8 08/01/96 35278 50 22.5 0.3114
8 08/02/96 35279 105 22.1 0.3114
8 08/03/96 35280 75 22.7 0.03
9 06/06/89 32665 205 9 21 0.17
9 06/07/89 32666 575 9 21 0.389101529
9 06/08/89 32667 1225 9 20 0.49132474
9 06/13/89 32672 445 9 0.15
9 06/14/89 32673 375 9 0.15
9 06/15/89 32674 810 9 19 0.755049667
9 06/19/89 32678 295 9 20 0.08
9 06/20/89 32679 490 9 22 0.08
9 06/21/89 32680 655 9 24 0
9 06/22/89 32681 4550 9 26 0
9 06/26/89 32685 250 9 25.3 0
9 06/26/89 32685 150 9 25.3 0
9 06/26/89 32685 450 9 25.3 0
9 06/27/89 32686 540 9 26 0
9 06/27/89 32686 400 9 26 0
9 06/27/89 32686 705 9 26 0
9 07/19/89 32708 1300 9 1.12
9 08/08/89 32728 11250 9 0.398120585
9 08/25/89 32745 2125 9 0.05
9 07/09/90 33063 50 9 24 0.02
9 07/10/90 33064 188 9 24.3 0.02
9 07/11/90 33065 578 9 24.6 0.02
9 07/12/90 33066 310 9 23.2 0.68
9 07/13/90 33067 1850 9 22.1 0.69050706
9 07/14/90 33068 970 9 25.8 0.69050706
9 07/16/90 33070 323 9 24.5 0
9 07/17/90 33071 253 9 25.1 0
9 07/18/90 33072 528 9 26.1 0
9 07/19/90 33073 58 9 26.6 0
9 07/20/90 33074 13 9 27.3 0.29
9 07/21/90 33075 10 9 28.3 0.29
Matlab Homework Help

17. 10
10
10
10
10
10
10
07/09/90
07/10/90
07/11/90
07/12/90
07/13/90
07/14/90
07/16/90
33063
33064
33065
33066
33067
33068
33070
28
53
288
223
875
533
180
9
9
9
9
9
9
9
24.1
25
24.7
23.9
22.1
23.7
25
0.02
0.02
0.02
0.68
0.69050706
0.69050706
0
9 10/22/90 33168 690 9 14.8 0
9 10/23/90 33169 8550 9 14.9 0.68
9 10/24/90 33170 4425 9 14.9 0.920217366
9 10/25/90 33171 2775 9 14.3 0.920217366
9 10/30/90 33176 1475 9 9.8 0.33
9 10/31/90 33177 1230 9 9.7 0
9 11/01/90 33178 1450 9 9.7 0
9 11/05/90 33182 2350 9 10.5 0
9 11/06/90 33183 2525 9 10.3 0.57
9 11/07/90 33184 345 9 9.8 0.57
9 11/08/90 33185 2475 9 9.6 0.570788928
9 09/03/91 33484 80 9 22.8 0
9 09/04/91 33485 70 9 22.4 0
9 09/05/91 33486 150 9 22 0.89
9 09/06/91 33487 440 9 21.9 0.89
9 09/09/91 33490 655 9 23 0
9 09/10/91 33491 890 9 22.3 0
9 09/11/91 33492 490 9 22 0
9 09/12/91 33493 320 9 22 0
9 09/13/91 33494 170 9 22.3 0
9 09/16/91 33497 390 9 21.6 0.13
9 09/17/91 33498 845 9 22 0.12
9 09/18/91 33499 995 9 22.7 0
9 09/19/91 33500 940 9 22.9 0.77
9 09/20/91 33501 535 9 21.4 1.027277957
9 08/13/96 35290 50 9 0.28
9 08/16/96 35293 90 9 0
9 08/17/96 35294 20 9 0
9 08/18/96 35295 10 9 0
9 08/19/96 35296 20 9 0
9 08/20/96 35297 70 9 0
9 08/23/96 35300 30 9 0.08
9 08/24/96 35301 10 9 0.3883
9 08/25/96 35302 110 9 0.3883
9 08/26/96 35303 50 9 0.38
9 08/27/96 35304 30 9 0
9 08/30/96 35307 70 9 0.28
9 08/31/96 35308 40 9 0
9 09/01/96 35309 10 9 0.01
10 06/05/89 32664 310 9 24 0
10 06/06/89 32665 670 9 22 0.17
10 06/07/89 32666 195 9 21 0.389101529
10 06/08/89 32667 255 9 20 0.49132474
10 06/13/89 32672 195 9 0.15
10 06/14/89 32673 285 9 0.15
10 06/15/89 32674 710 9 19 0.755049667
10 06/19/89 32678 485 9 21 0.08
10 06/20/89 32679 390 9 22 0.08
10 06/21/89 32680 50 9 26 0
10 06/22/89 32681 2600 9 25 0
Matlab Homework Help

18. 10 07/17/90 33071 110 9 25.9 0
10 07/18/90 33072 223 9 26.2 0
10 07/19/90 33073 28 9 26.8 0
10 07/20/90 33074 10 9 27.4 0.29
10 07/21/90 33075 8 9 26.9 0.29
10 07/23/90 33077 200 9 26.9 0.02
10 07/24/90 33078 18 9 27.3 0.790253124
10 07/25/90 33079 420 9 25.9 2.076174366
10 07/26/90 33080 17800 9 25.2 2.076174366
10 07/27/90 33081 1800 9 24.9 1.92
10 07/28/90 33082 530 9 24.8 0.01
10 07/31/90 33085 620 9 24.7 0
10 10/22/90 33168 900 9 14.5 0
10 10/23/90 33169 663 9 15 0.68
10 10/24/90 33170 1000 9 14.5 0.920217366
10 10/25/90 33171 1175 9 14.5 0.920217366
10 10/30/90 33176 1250 9 10.4 0.33
10 10/31/90 33177 923 9 9.7 0
10 11/01/90 33178 850 9 10.3 0
10 11/05/90 33182 1283 9 10.6 0
10 11/06/90 33183 1050 9 10.2 0.57
10 11/07/90 33184 303 9 9.9 0.57
10 11/08/90 33185 2500 9 9.5 0.570788928
10 09/03/91 33484 60 9 23.3 0
10 09/04/91 33485 25 9 23 0
10 09/05/91 33486 50 9 24.1 0.89
10 09/06/91 33487 120 9 22.4 0.89
10 09/09/91 33490 395 9 22.5 0
10 09/10/91 33491 410 9 22.3 0
10 09/11/91 33492 235 9 22.7 0
10 09/12/91 33493 85 9 21.9 0
10 09/13/91 33494 50 9 22.3 0
10 09/16/91 33497 195 9 21.4 0.13
10 09/17/91 33498 655 9 22.5 0.12
10 09/18/91 33499 465 9 23 0
10 09/19/91 33500 665 9 22.6 0.77
10 09/20/91 33501 445 9 21.7 1.027277957
Matlab Homework Help