Recall that in exercise 49, the admissions officer for Clearwater College developed the following es
Question: 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.
= -1.41 + .0235
+ .00486
= high-school grade point average
= SAT mathematics score
y = final college grade point average
A portion of the Minitab computer output follows.
The regression equation is
Y = -1.41 + .0235 X1 + .00486 X2
Predictor Coef SE Coef T
Constant -1. 4053 0.4848 __ -2.899___
X1 0.023467 0.008666 __2.708___
X2 0.00486____ 0.001077 ___ 4.513__
S = 0.1298 R–sq = ___ 0.9373___ R–sq( adj ) = ___ 0.919386___
Analysis of Variance
SOURCE DF SS MS F
Regression __2___ 1.76209 0.881045____ __ 52.3053___
Residual Error ___7__ 0.11791 0.016844286 ____ _____
Total 9 1.88000
a. Compute the missing entries in this output.
b. Use the F test and α = .05 to see whether a significant relationship is present.
c. Use the t test and α= .05 to test :
= 0 and
:
= 0
d. Did the estimated regression equation provide a good fit to the data? Explain.
Deliverables: Word Document
![](/images/msword.png)