In: Statistics and Probability
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, 290, 270, 290, 360, 280, 300, 290
Gpa- 3.7, 3.1, 3.1, 3.2, 3.9, 2.9, 3.6, 3.1
A linear regression on the data gives the equation below.
Predicted GPA=−0.022695+0.011206(GMAT)
Complete the parts below.
a. Calculate the SST.
a) Calculate the SST. (Round to three decimal places as needed.)
b) Calculate the SSR. (Round to three decimal places as needed.)
c) Calculate the SSE. (Round to three decimal places as needed.)
d) Calculate the sample coefficient of determination or R2. (Round to three decimal places as needed.)
e) Determine the null and alternative hypotheses.
f) Calculate the F-score for this test. (Round to two decimal places as needed.)
g) Determine the p-value. (Round to three decimal places as needed.)
h) Reject/do not reject