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: Û = 2.5 + 0.0055X1 +0.0107X2 +0.00853X3 Assuming other independent variables are held constant, how much does graduate school GPA increase if the number of hours spent studying per week increases from 20 to 25? O A. 0.1070 OB. 0.04265 OC. 0.0853 D. 0.0535

Answer 1

Solution:

We take variable X1 and X3 are constant so let we take these two variable as 1.

We put X2=20 in regeession equation

Ý= 2.5+0.0055×1+0.0107×20+0.00853×1

Ý=2.72803

We put X2=25 in regression equation

Ý= 2.5+0.0055×1+0.0107×25+0.00853×1

Ý=2.78153

Increment in  grade point average(GPA)= 2.78153-2.72803

Increment in GPA=0.0535

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