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Percentage of Variance and Regression Analysis

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A professor obtains SAT scores and freshman grade point averages (GPAs) for a group of n=15 college students. The SAT scores have a mean of M=580 with SS=22,400 and the GPAs have a mean of 3.10 with SS=1.26 and SP=84.

What percentage of the variance in GPAs is accounted for by the regression equation? (Compute the correlation, r, then find r2.)

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