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.
= 21.41 + .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 α .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.

Transcribed Image Text:

Analysis of Variance Source Regression X1 X2 Error Total DF Adj SS Adj MS F-Value P-Value 0.000 0.030 0.003 1.76209 1 0.12389 0.12389 1 0.34308 0.34308 7.35 20.36 9 1.88003 Model Summary R-sq R-sq (adj) R-sq (pred) 85. 12% 3.35 Coefficients Term Constant Coef SE Coef 0.4848 0.0087 0.0011 T-Value P-Value VIF 0.000 0.030 1.54 0.003 1.54 0.0235 x2 Regression Equation y1.41 + 0.0235 X1 +0.00486 X2