As part of a study at a large university, data were collected on freshmen computer science (CS) majors in a particular year. The researchers were interested in modeling , 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) :
average high school grade in mathematics (HSM)
average high school grade in science (HSS)
average high school grade in English (HSE)
SAT mathematics score (SATM)
SAT verbal score (SATV)
A first-order model was fit to data with .
What is the correct interpretation of , the coefficient of determination for the model?
A) Approximately of the sample variation in GPAs can be explained by the first-order model.
B) Approximately of the sample variation in GPAs can be explained by the first-order model.
C) We are confident that the model is useful for predicting .
D) We expect to predict GPA to within approximately of its true value.
Correct Answer:
Verified
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