t has been hypothesized that overall academic success for college freshmen as measured by grade point average (GPA) is a function of IQ scores (X 1) (in hundreds), hours spent studying each week (X 2 ) , and one's high school average (X 3). Suppose the regression equation is:
Y = 6.9 – 0.055 X 1 + 0.107 X 2 + 0.0083 X3
Two students A and B have their IQ to be 108 and high school average to be 82. However, student A spends 32 hours studying during the week whereas student B did not study during the week. What is the difference in the predicted GPA of the two students?
A.
7.5212
B.
10.7312
C.
3.4240
D.
18.4664