Question 1
True or False.
The rejection of the null hypothesis in a global
F-test means that the model is the best model for providing reliable estimates and predictions.
◦ True
◦ False
Question 2
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.
Give the null hypothesis for testing the overall adequacy of the model.
◦
H0:
β0 =
β1 =
β2 =
β3 =
β4 =
β5 = 0
◦
H0:
β1 = 0
◦
H0:
β1 =
β2 =
β3 =
β4 =
β5 = 0
◦
H0:
β0 +
β1x1 +
β2x2 +
β3x3 +
β4x4 +
β5x5 = 0
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