The director of college admissions at a local university is trying to determine whether a student’s high school GPA or SAT score is a better predictor of the student’s subsequent college GPA. She formulates two models:
Model 1. College GPA = β0 + β1High School GPA + 
Model 2. College GPA = β0 + β1SAT Score + 
She estimates these models using data from a sample of 10 re cent college graduates. A portion of the results are as follows:

a. Calculate the standard error of the estimate for Model 1 and Model 2.
b. Calculate the coefficient of determination for Model 1 and Model 2.
c. Given these two measures, which model is a better fit? Explain.

  • CreatedJanuary 28, 2015
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