Question
The following data set shows the entrance exam score (Verbal GMAT) for each of eight MBA students along with his or her grade point average
The following data set shows the entrance exam score (Verbal GMAT) for each of eight MBA students along with his or her grade point average (GPA) upon graduation.
GMAT | 310 | 280 | 270 | 270 | 350 | 270 | 310 | 300 |
|
---|---|---|---|---|---|---|---|---|---|
GPA | 3.8 | 2.9 | 3.2 | 3.2 | 3.8 | 2.9 | 3.7 | 3.1 |
A linear regression on the data gives the equation below.
Predicted GPA=0.111607+0.010893(GMAT)
a) Calculate the SST.
SST=_______ (Round to three decimal places as needed.)
b) Partition the total sum of squares into the SSR and SSE.
SSR=______
SSE=______ (Round to three decimal places as needed.)
c) Calculate the sample coefficient of determination.
R2=______
d) Calculate the F-score for this test.
F=______ (Round to two decimal places as needed.)
e) Determine the p-value.
p-value = _______
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