An article included a summary of findings regarding the use of SAT I scores, SAT

Question

An article included a summary of findings regarding the use of SAT I scores, SAT II scores, and high school grade point average (GPA) to predict first-year college GPA. The article states that "among these, SAT II scores are the best predictor, explaining 17 percent of the variance in first-year college grades. GPA was second at 15.6 percent, and SAT I was last at 13.7 percent." If the data from this study were used to fit a least squares line with y = first-year college GPA and x = high school GPA, what would the value of r2 have been?

r2 = %?

Explanation / Answer

As high schoo GPA explains 15.6% of the variation in the first year college GPA, the value of r2 would be 15.6%

r2 = 15.6%

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