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 + ε
Model 2. College GPA = β0 + β1SAT Score + ε

She estimates these models and obtains the following goodness-of-fit measures.

Model 1 Model 2
R2 0.5595 0.5322
Adjusted R2 0.5573 0.5298
Se 40.3684 41.6007

Which model provides a better fit for y?
A. Model 1 since it has a smaller standard error of the estimate and a higher coefficient of determination.
B. Model 1 since it has a higher standard error of the estimate and a smaller coefficient of determination.
C. Model 2 since it has a smaller standard error of the estimate and a higher coefficient of determination.
D. Model 2 since it has a higher standard error of the estimate and a smaller coefficient of determination.