Suppose that at a large university, college grade point average, GPA, and SAT score, SAT, are related by the conditional expectation: E(GPA|SAT) = 0.70 + 0.002SAT.

(a) Find the expected GPA when SAT = 800 and when SAT = 1,400. What can you tell about the relationship between the conditional expected GPA and SAT? Graph their relationship.

(b) If a student's SAT score is 800, explain whether this means the student will have the GPA found in (a).