MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Confidence Intervals
When we calculate intervals in probability and statistics, it can be simply termed as finding out a confidence interval. The confidence interval is usually calculated from the data set which is observed. The value of the parameter that needs to be calcul…
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Just #7 please
6) You investigate the relationship between height and dbh (diameter at breast height) of oak trees. You get the following results: dbh (cm): height(m): 26 49 52 32 15 15 39 41 20 30 46 42 10.2 13.5 16.3 10.8 8.9 10.0 14.2 11.3 9.7 11.4 13.5 13.6 11.6 11.2 7.7 13.1 7.9 10.4 15.6 9.0 21 40 17 38 13 26 49 26 Read the data into R. (a) Calculate the following using R: X, y, SS, S. (Note that to get SS, or SS, you can just ask R for the variance (var) or standard deviation, and then do the appropriate calculation). (b) Perform a complete test of the hypothesis that there is out all the appropriate steps of a regular hypothesis test (give Ho, H1, a, your decision, etc.) difference in height as dbh increases. Write (c) Give the equation of the least squares line (Write it out, don't just hand in a printout!!) 7) Finally do the following: (a) create a residual plot for the analysis you did in (6) and comment on it (is it okay or do you see any problems?) (b) create a q-q plot of the residuals and comment on it. (c) Write down the value of R², and interpet it (do not use "adjusted" R'). Be prepared to discuss these problems in recitation Monday, July 22nd.
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Transcribed Image Text:6) You investigate the relationship between height and dbh (diameter at breast height) of oak trees. You get the following results: dbh (cm): height(m): 26 49 52 32 15 15 39 41 20 30 46 42 10.2 13.5 16.3 10.8 8.9 10.0 14.2 11.3 9.7 11.4 13.5 13.6 11.6 11.2 7.7 13.1 7.9 10.4 15.6 9.0 21 40 17 38 13 26 49 26 Read the data into R. (a) Calculate the following using R: X, y, SS, S. (Note that to get SS, or SS, you can just ask R for the variance (var) or standard deviation, and then do the appropriate calculation). (b) Perform a complete test of the hypothesis that there is out all the appropriate steps of a regular hypothesis test (give Ho, H1, a, your decision, etc.) difference in height as dbh increases. Write (c) Give the equation of the least squares line (Write it out, don't just hand in a printout!!) 7) Finally do the following: (a) create a residual plot for the analysis you did in (6) and comment on it (is it okay or do you see any problems?) (b) create a q-q plot of the residuals and comment on it. (c) Write down the value of R², and interpet it (do not use "adjusted" R'). Be prepared to discuss these problems in recitation Monday, July 22nd.
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