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stat512prob5

# stat512prob5 - Statistics 512 Problem Set No 5 Due October...

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Statistics 512: Problem Set No. 5 Due October 2, 2009 For the following problems use the computer science data that we have been discussing in class. You can get a copy of the data set csdata.dat from the class website. The variables are: id , a numerical identifier for each student; GPA , the grade point average after three semesters; HSM ; HSS ; HSE ; SATM ; SATV , which were all explained in class; and GENDER , coded as 1 for men and 2 for women. 1. In this exercise you will illustrate some of the ideas described in Chapter 7 of the text related to the extra sums of squares. (a) Create a new variable called SAT which equals SATM + SATV and run the following two regressions: i. predict GPA using HSM , HSS , and HSE ; ii. predict GPA using SAT , HSM , HSS , and HSE . Calculate the extra sum of squares for the comparison of these two analyses. Use it to construct the F -statistic – in other words, the general linear test statistic – for testing the null hypothesis that the coefficient of the SAT variable is zero in the model with all four predictors. What are the degrees of freedom for this test statistic?

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stat512prob5 - Statistics 512 Problem Set No 5 Due October...

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