# 420Exam2Aans - STAT 420 Spring 2008 Version A Name ANSWERS...

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1. Consider the population of high school graduates who were admitted to a particular university during a ten-year time period and who completed at least the first year of coursework after being admitted. We are interested in investigating how well Y, the first year grade point average (GPA), can be predicted by using the following quantities with n = 20 students: X 1 = the score on the mathematics part of the SAT (SATmath) X 2 = the score on the verbal part of the SAT (SATverbal) X 3 = the grade point average of all high school mathematics courses (HSmath) X 4 = the grade point average of all high school English courses (HSenglish) Consider the model of the form: Y i = β 0 + β 1 X i 1 + β 2 X i 2 + β 3 X i 3 + β 4 X i 4 + ε i , i = 1, 2, … , 20, where ε i ’s are independent N ( 0 , σ 2 ) random variables. > fit = lm(GPA ~ SATmath + SATverbal + HSmath + HSenglish) > summary(fit) Call: lm(formula = GPA ~ SATmath + SATverbal + HSmath + HSenglish) Residuals: Min 1Q Median 3Q Max -0.443283 -0.128374 0.002571 0.133996 0.538996 Coefficients: Estimate Std. Error t value Pr(>|t|)
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## This note was uploaded on 02/10/2009 for the course STAT 420 taught by Professor Stepanov during the Spring '08 term at University of Illinois at Urbana–Champaign.

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420Exam2Aans - STAT 420 Spring 2008 Version A Name ANSWERS...

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