Recall that in exercise 39, 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.
y = €“ 1.41 + .0235x1 + .00486x2
Where
x1 = high-school grade point average
x2 = SAT mathematics score
y = final college grade point average
A portion of the Minitab computer output follows.

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

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The regression equation is Y -1.41 + .0235 X1 + .00486 X2 Predictor Constant X1 X2 SE Coef 0.4848 0.008666 0.001077 oe -1.4053 0.023467 S0.1298 -R-Sq ( adj ) Analysis of Variance SOURCE Regression Residual Brro Total DF MS 1.76209 1 88000