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Matlab Homework Help

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 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),ctreat3mean(ctreat3),ctreat4-mean(ctreat4), ctreat5-mean(ctreat5), ctreat6-mean(ctreat6)]) title('Normality check for transformed coliform data') matrix=[ctreat1', ctreat2', ctreat3', ctreat4', ctreat5', ctreat6'];

3

Matlab Homework Help

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

Evaporation rate (Ri): [5.0001

5.0464 10.7850

22

24]

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

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.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]; 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))

N=6 %[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 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.

Plot prediction confidence intervals over the entire 1950-2030 period to get a feeling for how well your -1 given at the end of function might predict population. Use the prediction confidence interval expression the Class 23 Lecture Note.s. Note that you will need to compute the 2sample standard deviation se of the measurement residuals (these residuals are returned by 2 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 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

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 STAT_ID DATE

Julian

coli.

TIDE

temp

Rain

6

06/08/89

32667

1070

9

20

0.49132474

6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6

06/13/89 06/14/89 06/15/89 06/19/89 06/20/89 06/21/89 06/22/89 06/26/89 07/09/90 07/10/90 07/11/90 07/12/90 07/13/90 07/14/90 07/16/90 07/17/90 07/18/90 07/19/90 07/20/90 07/21/90 07/23/90 07/24/90 07/25/90 07/26/90 07/27/90 07/28/90 07/31/90 10/22/90 10/23/90 10/24/90 10/25/90 10/30/90 10/31/90 11/01/90 11/05/90 11/06/90 11/07/90 11/08/90 09/03/91 09/04/91 09/05/91 09/09/91 09/10/91 09/11/91 09/12/91 09/13/91

32672 32673 32674 32678 32679 32680 32681 32685 33063 33064 33065 33066 33067 33068 33070 33071 33072 33073 33074 33075 33077 33078 33079 33080 33081 33082 33085 33168 33169 33170 33171 33176 33177 33178 33182 33183 33184 33185 33484 33485 33486 33490 33491 33492 33493 33494

990 490 730 1025 1445 1080 7400 150 313 305 340 663 3475 390 470 1175 568 183 210 495 95 148 22600 12550 1100 620 635 1700 1045 3600 2025 885 1013 1950 2350 1350 265 2400 185 875 1750 290 145 1350 1170 660

9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9

19 19 21 22.5 23 25 27 23.7 24.6 24 23.5 22.5 25 24.5 25.2 25.2 26.3 26.9 26.9 27.6 26.6 25.6 24 23.9 24 25.5 13.7 13.9 14.1 14 8.4 8.2 8.9 10.5 10.9 9.9 9.1 22.5 22.2 22.1 22.6 22.1 21.9 21.3 21.2

0.15 0.15 0.755049667 0.08 0.08 0 0 0 0.02 0.02 0.02 0.68 0.69050706 0.69050706 0 0 0 0 0.29 0.29 0.02 0.790253124 2.076174366 2.076174366 1.92 0.01 0 0 0.68 0.920217366 0.920217366 0.33 0 0 0 0.57 0.57 0.570788928 0 0 0.89 0 0 0 0 0

6 6 6 6 6 6 6

09/16/91 09/17/91 09/18/91 09/19/91 09/20/91 07/06/92 07/07/92

33497 33498 33499 33500 33501 33791 33792

355 17500 1180 645 3200 1710 795

9 9 9 9 9 9 9

20.9 21.7 22.9 22.8 20.8 22.2 22.8

0.13 0.12 0 0.77 1.027277957 0.354682957 0.23

6

07/08/92

33793

845

9

23.2

0.23

6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6

07/09/92 07/10/92 07/13/92 07/14/92 07/15/92 07/17/92 07/20/92 07/21/92 07/22/92 07/23/92 07/24/92 07/25/92 07/27/92 07/28/92 07/29/92 07/30/92 07/31/92 06/14/93 06/16/93 06/18/93 06/19/93 06/21/93 06/24/93 06/25/93 06/28/93 06/29/93 06/30/93 07/02/93 06/21/94 06/22/94 06/23/94 06/24/94 06/25/94 06/29/94 06/30/94 07/01/94 07/02/94 07/05/94 07/07/94 07/08/94 07/09/94 06/12/95 06/12/95 06/13/95 06/14/95 06/15/95 06/16/95 06/20/95 06/21/95

33794 33795 33798 33799 33800 33802 33805 33806 33807 33808 33809 33810 33812 33813 33814 33815 33816 34134 34136 34138 34139 34141 34144 34145 34148 34149 34150 34152 34506 34507 34508 34509 34510 34514 34515 34516 34517 34520 34522 34523 34524 34862 34862 34863 34864 34865 34866 34870 34871

7800 3750 2310 600 1275 850 985 915 595 110 355 120 365 1050 665 1350 2300 150 485 360 18400 600 405 460 515 1155 565 135 315 270 115 320 355 175 375 575 445 140 145 125 5900 1200 780 535 160 920 3800 1800 530

9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9

21.9 22.5 23.8 23.5 23.1 23.5 25.8 25.6 24.9 24.3 24.3 24.1 23.3 23.4 23.5 22.7 23.1 22.3 22.6 23.6 24.5 23.4 22.8 25 25 25 25.9 24.8 25.5 24.3 24.5 23.8 23 24 24 24.8 24.5 25.5 27.5 27.5 26.7 21.1 21.1

0.47 0.47 0.18 0.2 0.447213595 0.40012498 0.01 0 0 0.37 0.37 0.37 0 0 0.05 0.05 0.432897216 0 0.03 0 0.56 0.574456265 0 0 0.070710678 0.081240384 0.080622577 0 0.09 0.09 0.09 0.01 0.11045361 0.27 0.27 0.27 0 0 0.06 0.06 0.06 0.245153013 0.245153013 0.310161248 0.319061123 0.214009346 0.098488578 0 0

6

06/22/95

34872

340

9

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

20.2 19.9 19.7 25 24

0 24 24.2 24.8 25.6 24.2 24.2

0 0 0.06 0.06 0.06 0.06

Matlab Homework Help

6

06/28/95

34878

1550

9

23.4

0

6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7

06/29/95 06/30/95 07/01/95 07/02/95 07/06/95 07/07/95 07/08/95 07/09/95 07/08/96 07/09/96 07/11/96 07/12/96 07/14/96 07/15/96 07/16/96 07/17/96 07/17/96 07/18/96 07/19/96 07/21/96 07/22/96 07/23/96 07/24/96 07/25/96 07/26/96 07/27/96 07/29/96 07/30/96 07/31/96 08/01/96 08/01/96 08/02/96 08/03/96 06/07/89 06/08/89 06/13/89 06/14/89 06/15/89 06/19/89 06/20/89 06/21/89 06/22/89 06/26/89 07/09/90 07/10/90 07/11/90 07/12/90 07/13/90 07/14/90

34879 34880 34881 34882 34886 34887 34888 34889 35254 35255 35257 35258 35260 35261 35262 35263 35263 35264 35265 35267 35268 35269 35270 35271 35272 35273 35275 35276 35277 35278 35278 35279 35280 32666 32667 32672 32673 32674 32678 32679 32680 32681 32685 33063 33064 33065 33066 33067 33068

575 4400 910 350 400 45 25 95 570 4000 1030 1490 6200 2000 1350 1350 1450 1500 1610 940 1070 390 1150 280 3450 525 1070 780 375 2200 1700 2650 290 525 12500 400 1020 985 1380 680 955 8000 200 393 365 700 433 3650 540

9 9 9 9 9 9 9 9 24.5

24 23.6 22.8 23.6 24.2 24.5 24 23.7 0 25.1 24.3

0 0 0.09 0.09 0 0 0.26 0.26

21.8

3.36 3.36 0.01 0.01 0.01 0.01 0.08 0.08 0 0.76 0.76 0.76 0.11 0.11 0

7

07/16/90

33070

958 1150 640 213 125 80 95

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

0.12 0.12

0 23.5 24.3 25.2 25.2 25.5 22.8 23.8 23.1 22.3 22.5

23.5

22.3 22.7 23.8 0 23.1 22.4 22.4 21.9 22.7 22 19 19 21 22 19 26 27 23.5 24.5 24.5 23.4 23 26.6

0.31 0.3114 0.3114 0.3114 0.03 0.389101529 0.49132474 0.15 0.15 0.755049667 0.08 0.08 0 0 0 0.02 0.02 0.02 0.68 0.69050706 0.69050706

9

24

0

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

9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9

Matlab Homework Help

8 8 8 8 8 8

7

07/24/90

33078

225

9

26.5

0.790253124

7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8

07/25/90 07/26/90 07/26/90 07/27/90 07/28/90 07/31/90 10/22/90 10/23/90 10/24/90 10/25/90 10/30/90 10/31/90 11/01/90 11/05/90 11/06/90 11/07/90 11/08/90 09/03/91 09/04/91 09/05/91 09/06/91 09/09/91 09/10/91 09/11/91 09/12/91 09/13/91 09/16/91 09/17/91 09/17/91 09/18/91 09/19/91 09/20/91 06/06/89 06/07/89 06/08/89 06/13/89 06/14/89 06/15/89 06/19/89 06/20/89 06/21/89 06/21/89 06/22/89 06/26/89 06/26/89 06/27/89 07/09/90 07/10/90 07/11/90

33079 33080 33080 33081 33082 33085 33168 33169 33170 33171 33176 33177 33178 33182 33183 33184 33185 33484 33485 33486 33487 33490 33491 33492 33493 33494 33497 33498 33498 33499 33500 33501 32665 32666 32667 32672 32673 32674 32678 32679 32680 32680 32681 32685 32685 32686 33063 33064 33065

78500 18850 22100 2150 475 515 440 5200 3850 1475 1700 848 968 528 2450 150 4125 1685 1425 950 5400 855 775 755 455 720 2650 2950 2750 1670 1280 9200 1355 1485 2295 645 200 1095 765 560 980 875 8600 800 100 1145 163 2075 795

9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 24 9 9 9 9 9 9 9 9

25.8 24.2 24.2 25.2 25.1 25 14.3 14.4 14.3 14.2 9.4 8.7 8.9 10.2 10.8 9.8 9.6 22.3 22.1 22.2 21.7 23.4 22.5 22.2 22 21.4 21 21.5 21.5 22.5 23 21 21 21 20

2.076174366 2.076174366 2.076174366 1.92 0.01 0 0 0.68 0.920217366 0.920217366 0.33 0 0 0 0.57 0.57 0.570788928 0 0 0.89 0.89 0 0 0 0 0 0.13 0.12 0.12 0 0.77 1.027277957 0.17 0.389101529 0.49132474 0.15 0.15 0.755049667 0.08 0.08

8

07/12/90 07/13/90 07/14/90 07/16/90 07/17/90 07/18/90 07/19/90

33066 33067 33068 33070 33071 33072 33073

675 10600 930 473 1900 515 175

9 9 9 9 9 9 9

15 21 23 0 24 26 26 26 28 24 24.8 23.8 23.5 23.1 25 24 24.9 25.9 25.9

0 0 0 0 0 0.02 0.02 0.02 0.68 0.69050706 0.69050706 0 0 0 0

Matlab Homework Help

8

07/20/90

33074

230

9

26.8

0.29

8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8

07/23/90 07/24/90 07/25/90 07/26/90 07/27/90 07/28/90 07/31/90 10/22/90 10/23/90 10/24/90 10/25/90 10/30/90 10/31/90 11/01/90 11/05/90 11/06/90 11/07/90 11/08/90 09/03/91 09/04/91 09/05/91 09/06/91 09/09/91 09/10/91 09/11/91 09/12/91 09/13/91 09/16/91 09/17/91 09/18/91 09/19/91 09/20/91 07/06/92 07/07/92 07/08/92 07/09/92 07/10/92 07/13/92 07/14/92 07/15/92 07/17/92 07/18/92 07/20/92 07/21/92 07/22/92 07/23/92 07/24/92 07/25/92

33077 33078 33079 33080 33081 33082 33085 33168 33169 33170 33171 33176 33177 33178 33182 33183 33184 33185 33484 33485 33486 33487 33490 33491 33492 33493 33494 33497 33498 33499 33500 33501 33791 33792 33793 33794 33795 33798 33799 33800 33802 33803 33805 33806 33807 33808 33809 33810

133 118 69300 26850 2050 590 775 2100 1925 10875 1825 1625 6850 1475 58 8800 258 1775 150 1495 150 2127 1030 850 520 735 295 550 3000 1220 1545 8400 325 650 610 360 4850 1080 1145 3100 1095 675 360 500 705 865 350 90

9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9

27 25 25.4 25 25 24.8 25.1 14.5 14.7 14.4 14.3 10.1 9.1 10.4 11.6 11 10.1 9.4 22.9 22.8 22.1 22.2 24.9 22.3 22.3 21.8 22 21.2 22.1 22.8 22.9 21.7 22.1 22.9 23.4 22.5 22.5 23.4 23.2 22.8 23.1 24 26 25.4 24.8 24.1 23.8 25.1

0.02 0.790253124 2.076174366 2.076174366 1.92 0.01 0 0 0.68 0.920217366 0.920217366 0.33 0 0 0 0.57 0.57 0.570788928 0 0 0.89 0.89 0 0 0 0 0 0.13 0.12 0 0.77 1.027277957 0.354682957 0.23 0.23 0.47 0.47 0.18 0.2 0.447213595 0.40012498 0.014142136 0.01 0 0 0.37 0.37 0.37

8

07/27/92

33812

210

9

23.3

0

645 1175 1270 1950 100 90 405

9 9 9 9 9 9 9

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

23.4 23.6 23 23.2 21.3 21.7 23.2

0 0.05 0.05 0.432897216 0 0.03 0

Matlab Homework Help

8 8 8 8 8 8 8

8

06/19/93

34139

550

9

23.5

0.56

8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8

06/21/93 06/23/93 06/24/93 06/25/93 06/26/93 06/28/93 06/29/93 06/30/93 07/02/93 06/21/94 06/22/94 06/23/94 06/24/94 06/25/94 06/28/94 06/29/94 06/30/94 07/01/94 07/02/94 07/05/94 07/07/94 07/08/94 07/09/94 06/12/95 06/13/95 06/14/95 06/15/95 06/16/95 06/20/95 06/21/95 06/23/95 06/24/95 06/24/95 06/24/95 06/24/95 06/25/95 06/25/95 06/26/95 06/27/95 06/28/95 06/29/95 06/30/95 07/01/95 07/02/95 07/06/95 07/07/95 07/07/95 07/08/95

34141 34143 34144 34145 34146 34148 34149 34150 34152 34506 34507 34508 34509 34510 34513 34514 34515 34516 34517 34520 34522 34523 34524 34862 34863 34864 34865 34866 34870 34871 34873 34874 34874 34874 34874 34875 34875 34876 34877 34878 34879 34880 34881 34882 34886 34887 34887 34888

1135 1110 355 760 125 115 205 15 100 110 280 385 355 295 445 180 320 325 270 130 30 175 190 485 250 1010 680 275 715 415 115 180 140 75 75 20 20 80 20 35 50 10 20 45 60 20 5 15

9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9

22.8 22.4 22.7 23.1 22.8 24.3 24.6 25.4 24.2 25.3 24.2 24.2 23.5 22.7 23.8 24.1 23.8 24.5 24.6 25.1 27.4 27.4 26.4 21.1

0.574456265 0.08 0 0 0 0.070710678 0.081240384 0.080622577 0 0.09 0.09 0.09 0.01 0.11045361 0 0.27 0.27 0.27 0 0 0.06 0.06 0.06 0.245153013 0.310161248 0.319061123 0.214009346 0.098488578 0 0 0 0 0 0 0 0.06 0.06 0.06 0.06 0 0 0 0.09 0.09 0 0 0 0.26

8

07/09/95 07/08/96 07/08/96 07/09/96 07/11/96 07/12/96 07/12/96 07/14/96

34889 35254 35254 35255 35257 35258 35258 35260

1350 30 40 65 155 310 70 17600

9

24 23.6 23.6 24.2

0.26 0 0 0.12 0.12

22.6

3.36

24.5 0 0

20.4 20.1 20.1 23.8 23.6 22.8 24 24 24 24 24.7 24.7 24.5 23.6 23 23.4 23.6 23.3 23.6 24.1 24.5 24.5 24.7

Matlab Homework Help

Matlab Homework Help 8

07/15/96

35261

5350

23.1

3.36

8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9

07/16/96 07/17/96 07/18/96 07/19/96 07/21/96 07/21/96 07/22/96 07/23/96 07/24/96 07/25/96 07/26/96 07/27/96 07/29/96 07/30/96 07/31/96 08/01/96 08/02/96 08/03/96 06/06/89 06/07/89 06/08/89 06/13/89 06/14/89 06/15/89 06/19/89 06/20/89 06/21/89 06/22/89 06/26/89 06/26/89 06/26/89 06/27/89 06/27/89 06/27/89 07/19/89 08/08/89 08/25/89 07/09/90 07/10/90 07/11/90 07/12/90 07/13/90 07/14/90 07/16/90 07/17/90 07/18/90 07/19/90 07/20/90

35262 35263 35264 35265 35267 35267 35268 35269 35270 35271 35272 35273 35275 35276 35277 35278 35279 35280 32665 32666 32667 32672 32673 32674 32678 32679 32680 32681 32685 32685 32685 32686 32686 32686 32708 32728 32745 33063 33064 33065 33066 33067 33068 33070 33071 33072 33073 33074

150 115 190 345 160 95 60 35 350 355 205 180 435 350 160 50 105 75 205 575 1225 445 375 810 295 490 655 4550 250 150 450 540 400 705 1300 11250 2125 50 188 578 310 1850 970 323 253 528 58 13

23.8 24.8

0.01 0.01 0.01 0.08 0.08 0.08 0 0.76 0.76 0.76 0.11 0.11 0

9

07/21/90

33075

10 90 20 3200 24000 2150 505 595

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

25 24.7 22.8 22.8 23.8 23.1 22.2 22.5

23.5

22.6 22.6 23.7 0 23.1

24 24.3 24.6 23.2 22.1 25.8 24.5 25.1 26.1 26.6 27.3

0.31 0.3114 0.3114 0.03 0.17 0.389101529 0.49132474 0.15 0.15 0.755049667 0.08 0.08 0 0 0 0 0 0 0 0 1.12 0.398120585 0.05 0.02 0.02 0.02 0.68 0.69050706 0.69050706 0 0 0 0 0.29

9

28.3

0.29

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

22.5 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9

22.1 22.7 21 21 20 19 20 22 24 26 25.3 25.3 25.3 26 26 26

Matlab Homework Help 9

10/22/90

33168

690

9

14.8

0

9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10

10/23/90 10/24/90 10/25/90 10/30/90 10/31/90 11/01/90 11/05/90 11/06/90 11/07/90 11/08/90 09/03/91 09/04/91 09/05/91 09/06/91 09/09/91 09/10/91 09/11/91 09/12/91 09/13/91 09/16/91 09/17/91 09/18/91 09/19/91 09/20/91 08/13/96 08/16/96 08/17/96 08/18/96 08/19/96 08/20/96 08/23/96 08/24/96 08/25/96 08/26/96 08/27/96 08/30/96 08/31/96 09/01/96 06/05/89 06/06/89 06/07/89 06/08/89 06/13/89 06/14/89 06/15/89 06/19/89 06/20/89 06/21/89

33169 33170 33171 33176 33177 33178 33182 33183 33184 33185 33484 33485 33486 33487 33490 33491 33492 33493 33494 33497 33498 33499 33500 33501 35290 35293 35294 35295 35296 35297 35300 35301 35302 35303 35304 35307 35308 35309 32664 32665 32666 32667 32672 32673 32674 32678 32679 32680

8550 4425 2775 1475 1230 1450 2350 2525 345 2475 80 70 150 440 655 890 490 320 170 390 845 995 940 535 50 90 20 10 20 70 30 10 110 50 30 70 40 10 310 670 195 255 195 285 710 485 390 50

9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9

14.9 14.9 14.3 9.8 9.7 9.7 10.5 10.3 9.8 9.6 22.8 22.4 22 21.9 23 22.3 22 22 22.3 21.6 22 22.7 22.9 21.4

0.68 0.920217366 0.920217366 0.33 0 0 0 0.57 0.57 0.570788928 0 0 0.89 0.89 0 0 0 0 0 0.13 0.12 0 0.77 1.027277957 0.28 0 0 0 0 0 0.08 0.3883 0.3883 0.38 0 0.28 0 0.01 0 0.17 0.389101529 0.49132474 0.15 0.15 0.755049667 0.08 0.08 0

10 10 10 10 10 10 10 10

06/22/89 07/09/90 07/10/90 07/11/90 07/12/90 07/13/90 07/14/90 07/16/90

32681 33063 33064 33065 33066 33067 33068 33070

2600 28 53 288 223 875 533 180

9 9 9 9 9 9 9 9

25 24.1 25 24.7 23.9 22.1 23.7 25

24 22 21 20 19 21 22 26

0 0.02 0.02 0.02 0.68 0.69050706 0.69050706 0

Matlab Homework Help 10

07/17/90

33071

110

9

25.9

0

10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10

07/18/90 07/19/90 07/20/90 07/21/90 07/23/90 07/24/90 07/25/90 07/26/90 07/27/90 07/28/90 07/31/90 10/22/90 10/23/90 10/24/90 10/25/90 10/30/90 10/31/90 11/01/90 11/05/90 11/06/90 11/07/90 11/08/90 09/03/91 09/04/91 09/05/91 09/06/91 09/09/91 09/10/91 09/11/91 09/12/91 09/13/91 09/16/91 09/17/91 09/18/91 09/19/91 09/20/91

33072 33073 33074 33075 33077 33078 33079 33080 33081 33082 33085 33168 33169 33170 33171 33176 33177 33178 33182 33183 33184 33185 33484 33485 33486 33487 33490 33491 33492 33493 33494 33497 33498 33499 33500 33501

223 28 10 8 200 18 420 17800 1800 530 620 900 663 1000 1175 1250 923 850 1283 1050 303 2500 60 25 50 120 395 410 235 85 50 195 655 465 665 445

9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9

26.2 26.8 27.4 26.9 26.9 27.3 25.9 25.2 24.9 24.8 24.7 14.5 15 14.5 14.5 10.4 9.7 10.3 10.6 10.2 9.9 9.5 23.3 23 24.1 22.4 22.5 22.3 22.7 21.9 22.3 21.4 22.5 23 22.6 21.7

0 0 0.29 0.29 0.02 0.790253124 2.076174366 2.076174366 1.92 0.01 0 0 0.68 0.920217366 0.920217366 0.33 0 0 0 0.57 0.57 0.570788928 0 0 0.89 0.89 0 0 0 0 0 0.13 0.12 0 0.77 1.027277957