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### hw4

Course: STAT 423, Winter 2008
School: Washington
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STAT 423 Homework 4 Due Friday, January 30 This homework covers section 5.1 and 5.2 of your text. The first problem concerns an important theoretical property about simple linear regression. This will be reviewed in next week s lab session. For the second problem you will use simple linear regression and multiple linear regression to analyze real data. One goal for this homework set is for you to develop your...

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STAT 423 Homework 4 Due Friday, January 30 This homework covers section 5.1 and 5.2 of your text. The first problem concerns an important theoretical property about simple linear regression. This will be reviewed in next week s lab session. For the second problem you will use simple linear regression and multiple linear regression to analyze real data. One goal for this homework set is for you to develop your scientific writing skills by working to create concise and self-contained summaries of your findings. You will also be expected to follow the homework format guidelines described in Homework 2. 1. [20 points] Do Exercise 5.2 on pp. 96-97 of Fox (2nd edition). 2. [30 points] (a) Perform a least squares regression on a data set of your choosing. This can be the data set that you have located and studied for past homework sets, or a new data set of your choice. It is important that you perform this analysis on your own, and therefore each member of your group must independently choose their own set of data to analyze. Your data must have a continuous response variable and at least two independent variables (but I suggest you limit yourself to two or three). (i) Plot your data for each independent variable versus the response, and be sure to include the regression line in your plots for these simple linear regressions. (ii) Similarly plot the data for each independent variable versus each of the other independent variables, again including the regression line in your plots. (iii)Compute the standard error of the regression ( SE ) and the multiple correlation coefficient ( R ) and interpret each of these quantities. (b) Write a brief report that summarizes your analysis along with your interpretation and conclusions. Your report can be up to one page in length, and you are allowed to have one additional page for any relevant graphs that you would like to include with your report. Organize your report in ...

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Washington - STAT - 423
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