As part of a study at a large university, data were collected on
n = 224 freshmen computer science (CS) majors in a particular year. The researchers were interested in modeling
y, a student's grade point average (GPA) after three semesters, as a function of the following independent variables (recorded at the time the students enrolled in the university):
x1 = average high school grade in mathematics (HSM)
x2 = average high school grade in science (HSS)
x3 = average high school grade in English (HSE)
x4 = SAT mathematics score (SATM)
x5 = SAT verbal score (SATV)
A first-order model was fit to the data with the following results:
_____________________________________________________________________
ROOT MSE
0.700
R-SQUARE
0.211
DEP MEAN
4.635
ADJ R-SQ
0.193
Test to determine if the model is adequate for predicting GPA. Use
α = .01.
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