Chapter 15, Problem 52SE

Recall that in exercise 49, the admissions officer for Clearwater College developed the following estimated regression equation relating final college GPA to the student’s SAT mathematics score and high-school GPA.

     $\hat{y}=-1.41+.0235x_1+.00486x_2$

where

    x₁ = high-school grad e point average

    x₂ = SAT mathematics score

    y = final college grade point average

A portion of the Minitab computer output follows.

1. a. Complete the missing entries in this output.
2. b. Use the F test and a .05 level of significance to see whether a significant relationship is present.
3. c. Use the t test and α = .05 to test H₀: β₁ = 0 and H₀: β₂ = 0.
4. d. Did the estimated regression equation provide a good fit to the data? Explain.