The R squared for this model was .266

Coefficient Standard Error T-stat P-value

Intercept 1.82 .054 33.9 <.0001

Female .094 .008 11.1 <.0001

Black -.341 .017 -20.1 <.0001

Varity Athlete -.111 .012 -9.0 <.0001

Verbal SAT (in 100pts) .13 .006 22.4 <.0001

Math SAT (in 100pts) .088 .007 13.2 <.0001

a). What GPA would this regression predict for a white female varsity athlete with a 470 on her verbal SAT and 510 on her math SAT?

b). Construct a 95% confidence interval around the Varsity Athlete variable. In plain English, what does the confidence interval represent?

c). Explain the R squared and what the low p-value for all these variables mean

d). Discuss two additional X variables that you might think would improve this model.

e). Do you think there are measurement error issues? How far reaching do you think the external validity for this model goes? Is it relevant for all US college students or not? Is it relevant in India? Etc.