PS2(1)

# PS2(1) - Problem Set 2 Solutions Molin Zhong September 25,...

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Problem Set 2 Solutions Molin Zhong September 25, 2011 1 Problem 1 1.1 Part A The coeﬃcient of the regression is 0.10, which is positive. This makes sense, as one would expect that as a student’s ACT score goes up, her GPA should increase as well. The intercept’s interpretation would be the student’s predicted GPA if she scored a 0 on the ACT. The interpretation does not really make sense, as no students in the dataset have an ACT score remotely close to 0 (the lowest one is 21), so it would not be wise to use this value in inference. If ACT score goes up by 5 points, one would expect the student GPA to increase by 0.5 points. 1.2 Part B The residuals sum to 0. Check my do ﬁle to see the code as reference. 1.3 Part C 2.61 is the predicted value. This comes from plugging in the value of 20 into the explanatory variable of the regression that one estimated. 2 Problem 2 2.1 Part A d Testscore = 520 . 4 - 5 . 82 × CS This is the equation that we are given. Suppose I plug in 22 into this equation. I would get

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## This note was uploaded on 02/29/2012 for the course GG 101 taught by Professor Gg during the Spring '12 term at UPenn.

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PS2(1) - Problem Set 2 Solutions Molin Zhong September 25,...

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