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.
Large numbers of plant species can flower at once in this grassland in Kinsella, Alberta.
Fields of Environmental Science
Data for Calculating Productivity Growth in Erewhon
Earth Science is Environmental Science
Heartfelt Forgiveness Study
part