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. Assuming other independent variables are held constant, what effect on the GPA will there be if the numbers of hours spent studying per week increases from 32 to 36?

Question

Quizplus · Accepted Answer

The effect of increasing the number of hours spent studying per week can be determined by looking at the coefficient for X₂, which is 0.107. Therefore, increasing the number of hours from 32 to 36 would result in a change in the predicted GPA of: ΔY' = 0.107 * (36-32) = 0.428 Since this is a positive value, we can conclude that the predicted GPA would increase by 0.428 if the number of hours spent studying per week increases from 32 to 36.

It Has Been Hypothesized That Overall Academic Success for Freshmen