Question

It has been hypothesized that overall academic success in graduate school, as measured by grade point average (GPA) is a function of IQ scores (X1), hours spent studying each week (X2), and one's undergraduate GPA (X3). Suppose the regression equation is: ŷ = 2.5 +0.0055X, + 0.0107X2 +0.00853X3 For which independent variable does a unit change have the most effect on graduate school GPA? O A. x1 OB.X2 ОС. х3 OD. x4

Answer 1

Answer is:

Option B. X_{​​​​​​2}

_{Justification:}

_{= 2.5 + 0.0055X,+ 0.0107 X2 + 0.00853 X3 . Here, for unit change of Xi, Ÿ Changes Oʻ0055 units. for unit change of xa, changes 0.0107 units, for unit change of X, ŷ changes 0.00853 units. Ckadly, 0.0107 > 0.00853 >0.0055 → ŷ charges most for unit change of X2 . So, the independent variable for which, a un't change has the most effect on graduate School GPA is: B.X2}