It has been hypothesized that overall academic success for freshmen at college a

Question

It has been hypothesized that overall academic success for freshmen at college as measured by grade point average (GPA) is a function of IQ scores (X1), hours spent studying each week (X2), and one's high school average (X3). Suppose the regression equation is:
Y' = -6.9 + 0.055X1 + 0.107X2 + 0.0083X3.
The multiple standard error is 6.313 and R2 = 0.826.What will the GPA be if the number of hours spent studying is 30 the IQ is 108, and the high school average is 82?

13.1892

3.1446

10.0446

2.9306

0.428

Explanation / Answer

Given grade point average (GPA) is a function of IQ scores (X1), hours spent studying each week (X2), and one's high school average (X3).

the regression equation is:

Y' = -6.9 + 0.055X1 + 0.107X2 + 0.0083X3

when number of hours spent studying is 30 the IQ is 108, and the high school average is 82

Then

GPA is Y' = -6.9 + 0.055X1 + 0.107X2 + 0.0083X3

Y' = -6.9 + 0.055*108 + 0.107*30 + 0.0083*82

y=2.9308

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