Y=10 + 0.9x, where y represents the final exam score and x is the midterm exam score. Suppose Joe scores an 80.What would be the predicted value of his score

Question

A.81
B.The answer cannot be determined from the information given.
C.82
D.91

Answer 1

The "suppose Joe scores an 80" Does this mean x=80?  If so,

Then y = 82

Answer 2

Hello Hallie! This problem is from the linear regression section of Statistics. If Joe scored an 80 on the mid-term exam, this would be substituted for x into the Least Squares Regression Line (LSRL) to get a p hat value (y) for the final exam score of 82 or answer choice C. [This is true because 80 times .9 equals 72 and this would be added to 10, which provides the final answer of 82.]