Question: Suppose that at a large university, college grade point average, GPA, and SAT

score, SAT, are related by the conditional expectation E(GPA|SAT)=.70+.002SAT.

i) Find the expected GPA when SAT = 800, that is, find E(GPA|SAT=800).

ii) If a student’s SAT score is 800, does this mean he or she will have the GPA found in part i)? Why or Why not?