[Step-by-Step] 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
Question: 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.
- Find the regression equation for predicting GPA from SAT scores.
- What percentage of the variance in GPAs is accounted for by the regression equation? (Compute the correlation, r , then find r 2 .)
- Does the regression equation account for a significant portion of the variance in GPA? Use α = .05 to evaluate the F – ratio.
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