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 tw o models:

Model 1. College GPA = β0 + β1 High School GPA + ε

Model 2. College GPA = β0 + β1,SAT Score + ε

She estimates these models using data from a sample of 10 recent college graduates. A portion of the results are as follows:

ANOVA Results for Model 1 d f SS MS F Significance F Regression 1 1.4415 1.4415 11.5032 0.0095 Residual 8 1.0025 0.1253 Total 9 2.4440 ANOVA Results for Model 2 d f SS MS F Significance F Regression 1 1.0699 1.0699 6.2288 0.0372 Residual 8 1.3741 0.1718 Total 9 2.4440

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 tw o measures, which model is a better fit?

Explain.