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=0 (Round to three decimal places as needed.) d. Test the significance of the population coefficient of determination using a = 0.05. Choogo th wor holow

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K
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.
310 300 260 290 360 280 310 290
3.8 3.1 3.8 2.9
3.7 3.1 3.1 3.2
GMAT
GPA
A linear regression on the data gives the equation below. Complete parts a through d below.
Predicted GPA=0.537500+0.009333(GMAT)
OC. Ho: p² <0
H₁: p²20
Calculate the F-score for this test.
F=(Round to two decimal places as needed.)
Determine the p-value.
The p-value is
(Round to three decimal places as needed.)
Determine the correct conclusion. Choose the correct answer below.
OA. Reject Ho. p² does not appear to be greater than 0.
O B. Do not reject Ho. p² appears to be greater than 0.
OC. Reject Ho. p² appears to be greater than 0.
On
2-------
OD. Ho: p²20
H₁: p² <0
4
Transcribed Image Text:K 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. 310 300 260 290 360 280 310 290 3.8 3.1 3.8 2.9 3.7 3.1 3.1 3.2 GMAT GPA A linear regression on the data gives the equation below. Complete parts a through d below. Predicted GPA=0.537500+0.009333(GMAT) OC. Ho: p² <0 H₁: p²20 Calculate the F-score for this test. F=(Round to two decimal places as needed.) Determine the p-value. The p-value is (Round to three decimal places as needed.) Determine the correct conclusion. Choose the correct answer below. OA. Reject Ho. p² does not appear to be greater than 0. O B. Do not reject Ho. p² appears to be greater than 0. OC. Reject Ho. p² appears to be greater than 0. On 2------- OD. Ho: p²20 H₁: p² <0 4
K
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 310 300 260 290 360 280 310 290
GPA 3.7 3.1 3.1 3.2 3.8 3.1 3.8 2.9
A linear regression on the data gives the equation below. Complete parts a through d below.
Predicted GPA=0.537500+ 0.009333(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=0
(Round to three decimal places as needed.)
d. Test the significance of the population coefficient of determination using a = 0.05.
Determine the null and alternative hypotheses. Choose the correct answer below.
OA. Ho: p² ≤0
CH
4
OB. Ho: p²>0
Transcribed Image Text:K 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 310 300 260 290 360 280 310 290 GPA 3.7 3.1 3.1 3.2 3.8 3.1 3.8 2.9 A linear regression on the data gives the equation below. Complete parts a through d below. Predicted GPA=0.537500+ 0.009333(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=0 (Round to three decimal places as needed.) d. Test the significance of the population coefficient of determination using a = 0.05. Determine the null and alternative hypotheses. Choose the correct answer below. OA. Ho: p² ≤0 CH 4 OB. Ho: p²>0
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