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[See Steps] A professor obtains SAT scores and freshman GPAs for a group of n=15 college students. The SAT scores have a M=580 with SS=22400 and GPA mean of

Question: A professor obtains SAT scores and freshman GPAs for a group of n=15 college students. The SAT scores have a M=580 with SS=22400 and GPA mean of m=3.10 with SS=1.26 and SP=84.

  1. Find the regression equation for predicting the GPA from the SAT scores.
  2. What %age of variance in GPAs is accounted for by regression equation (compute correlation, r and the r 2 )
  3. Does the regression equation account for a significant portion of variance in GPA? Use alpha=0.05 to evaluate the F ratio.

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