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?

Question

Quizplus · Accepted Answer

Given the regression equation: Y' = -6.9 + 0.055X₁+ 0.107X₂+ 0.0083X₃ Substituting the values: Y' = -6.9 + 0.055(108) + (0.107 * 30) + (0.0083 * 82) Y' = -6.9 + 5.94 + 3.21 + 0.6806 Y' = 2.9306 Therefore, the predicted GPA would be 2.9306. The best choice is option B.

It Has Been Hypothesized That Overall Academic Success for Freshmen