Question

In: Statistics and Probability

The following data set shows the entrance exam score​ (Verbal GMAT) for each of eight MBA...

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

Solutions

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