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):
x 1 = average high school grade in
mathematics (HSM)
x 2 = average high school grade in
science (HSS)
x 3 = average high school grade in
English (HSE)
x 4 = SAT mathematics score
(SATM)
x 5 = 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
a) Test to determine if the model is adequate for predicting
GPA. Use α = .01.
b )Write the model you want to use (explain why and which
independent variables you want to use