Question: A certain college administrator is interested in seeing whether math or verbal SAT scores are the better predictor of performance in a required freshman history course. The data are in the file (data_prob_2.xls).

a) Test whether there is a statistically significant relationship (at the 5% level) between math SAT and history course scores. Is it a positive or negative relationship?

b) When establishing a relationship, does the value on the R squared bother you? Explain why or why not?

c) Test whether there is a statistically significant relationship (at the 5% level) between verbal SAT and history course scores. Is it a positive or negative relationship?

d) When establishing a relationship, does the value on the R squared bother you? Explain why or why not?

e) Is the math or verbal SAT score a better predictor of success in this history course? Explain.