(See Solution) A professor obtains SAT scores and freshman GPA s for a group of n = 15 college students. The SAT scores have a mean M = 580 with SS = 22,400,


Question: A professor obtains SAT scores and freshman GPA s for a group of n = 15 college students. The SAT scores have a mean M = 580 with SS = 22,400, and the GPA s have a mean of 3.10 with SS = 1.26 and SP = 84.

  1. Find the regression equation for predicting GPA from SAT scores.
  2. What percentage of the variance in GPA is accounted for by the regression
    equation ?(Compute the correlation r , then find r ².)
  3. 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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