A large section of Stat 101 was asked to fill out a survey on grade point average and SAT scores. A regression was run to find out how well Math and Verbal SAT scores could predict academic performance as measured by GPA. The regression was run on a computer package with the following output:

a) What is the regression equation?
b) From this model, what is the predicted GPA of a student with an SAT Verbal score of 500 and an SAT Math score of 550?
c) What else would you want to know about this regression before writing a report about the relationship between SAT scores and grade point averages? Why would these be important to know?

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Response: GPA Variable Coefficient SE(Coeff) t-ratio P-value Intercept 0.574968 0.253874 2.26 0.0249 SAT Verbal 0.001394 0.000519 2.69 0.0080 SAT Math 0.001978 0.000526 3.76 0.0002