Author Question: As part of a study at a large university, data were collected on n = 224 freshmen computer science ... (Read 100 times)

jc611 · **on:** Feb 14, 2020

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 data with the following results:
_____________________________________________________________________

ROOT MSE

0.700

R-SQUARE

0.211

DEP MEAN 4.635 ADJ R-SQ 0.193

Interpret the value under the column heading PROB > F.
◦ Accept H₀ (at α = .01); at least one of the β-coefficients in the first-order model is equal to 0.
◦ Over 99% of the variation in GPAs can be explained by the model.
◦ There is sufficient evidence (at α = .01) to conclude that the first-order model is statistically useful for predicting GPA.
◦ There is insufficient evidence (at α = .01) to conclude that the first-order model is statistically useful for predicting GPA.

ntsoane kedibone · **Reply #1 on:** Feb 14, 2020

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