Below is the output from the regression procedure from the statistical package JMP.

Summary of Fit

 

RSquare

0.623198

RSquare Adj

0.615809

Root Mean Square Error

0.277185

Mean of Response

3.172857

Observations (or Sum Wgts)

105


Analysis of Variance

Source

DF

Sum of Squares

Mean Square

F Ratio

Model

2

12.961354

6.48068

84.3495

Error

102

7.836789

0.07683

Prob > F

C. Total

104

20.798143

 

<.0001*


Effect Tests

Source

Nparm

DF

Sum of Squares

F Ratio

Prob > F

high_GPA

1

1

3.2115308

41.7998

<.0001*

SAT

1

1

0.3219346

4.1902

0.0432*