Suppose that at UCB college GPA and SAT score are related by

Suppose that at UCB, college GPA and SAT score are related by the conditional expectation E[GPA| SAT] = 0.70 + .002*SAT
a) What  is E[GPA  | SAT = 1,200]?
b) If the average SAT in the university is 1,100, what is the average GPA?
  

Solution

a)

E(GPA|SAT = 1200) = 0.70 + 0.002*1200 = 3.1 [ANSWER]

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b)

E(GPA|SAT = 1100) = 0.70 + 0.002*1100 = 2.9 [ANSWER]