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.

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