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4. Suppose that at a large university, college grade point average, GPA , and SATscore, SAT, are related by the conditional expectation E(GPA|SAT)=0.8+.002SAT1) Find the expected GPA when SAT = 600, that is, find E(GPA|SAT=700)2) If a student's SAT score is 600, does this mean he or she will have the GPAfound in part 1)? Why or Why not?

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Part 1 and 2

4. Suppose that at a large university, college grade point average, GPA , and SAT
score, SAT, are related by the conditional expectation E(GPA|SAT)=0.8+.002SAT
1) Find the expected GPA when SAT = 600, that is, find E(GPA|SAT=700)
2) If a student's SAT score is 600, does this mean he or she will have the GPA
found in part 1)? Why or Why not?
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4. Suppose that at a large university, college grade point average, GPA , and SAT score, SAT, are related by the conditional expectation E(GPA|SAT)=0.8+.002SAT 1) Find the expected GPA when SAT = 600, that is, find E(GPA|SAT=700) 2) If a student's SAT score is 600, does this mean he or she will have the GPA found in part 1)? Why or Why not?

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Step 1

Note:

We consider E(GPA|SAT=700) as E(GPA|SAT=600) in part 1).

It is given that the conditional expectation is given as E(GPA|SAT) = 0.8 + 0.002 SAT.

Step 2

1) Expected GPA when SAT = 600:

The expected GPA when SAT = 600 is found t...

E(GPA SAT
600) = 0.8+0.002 (600)
=2
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E(GPA SAT 600) = 0.8+0.002 (600) =2

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