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Given the following portion of regression results, which of the following conclu

ID: 3329331 • Letter: G

Question

Given the following portion of regression results, which of the following conclusions is true with regard to the F test at the 5% significance level?

df

SS

MS

F

Significance F

Regression

2

7,562

3,781

8.04

0.0028

Residual

20

9,395

470

Total

22

16,957

A_- Neither of the explanatory variables is related to the response variable.

B-- Both of the explanatory variables are related to the response variable.

C-- Exactly one of the explanatory variables is related to the response variable.

D-- At least one of the explanatory variables is significantly related to the response variable.

df

SS

MS

F

Significance F

Regression

2

7,562

3,781

8.04

0.0028

Residual

20

9,395

470

Total

22

16,957

Explanation / Answer

here as test is being done to test for the significance oif the model for which as p vlaue 0.0028 is less then 5% therefore we can conclude that test is significnant and at least one of variable is signifiant but we can not deduce if both of them or only one is significant from given information

therefore option D is correct,

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