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 is the predicted GPA for a student with an IQ of 108, 32 hours spent studying per week and a high school average of 82?

Question

Quizplus · Accepted Answer

The predicted GPA can be calculated using the given regression equation: Y' = -6.9 + 0.055(IQ) + 0.107(hours spent studying) + 0.0083(high school average). Substituting the given values: Y' = -6.9 + 0.055(108) + 0.107(32) + 0.0083(82) = 3.1446.

It Has Been Hypothesized That Overall Academic Success for Freshmen