In a multiple regression model involving 50 observations, the following estimated regression equation was obtained: 1 - 4x 2 + 8x 3 + 8x 4 For this model, SSR = 700 and SSE = 100.At the 5% level, A) there is no evidence that the model is significant. B) it can be concluded that the model is significant. C) the conclusion is that the slope of x 1 is significant. D) there is evidence that the slope of x 2 is significant. class=answers-bank-image d-inline rel=preload = 20 + 5x 1 - 4x 2 + 8x 3 + 8x 4 For this model, SSR = 700 and SSE = 100.At the 5% level,A) there is no evidence that the model is significant.B) it can be concluded that the model is significant.C) the conclusion is that the slope of x 1 is significant.D) there is evidence that the slope of x 2 is significant.

Question

In a multiple regression model involving 50 observations, the following estimated regression equation was obtained: ​  1  - 4x 2  + 8x 3  + 8x 4  ​ For this model, SSR = 700 and SSE = 100.At the 5% level, A)  there is no evidence that the model is significant. B)  it can be concluded that the model is significant. C)  the conclusion is that the slope of x 1  is significant. D)  there is evidence that the slope of x 2  is significant. class=answers-bank-image d-inline rel=preload > = 20 + 5x 1  - 4x 2  + 8x 3  + 8x 4 ​For this model, SSR = 700 and SSE = 100.At the 5% level,A)  there is no evidence that the model is significant.B)  it can be concluded that the model is significant.C)  the conclusion is that the slope of x 1  is significant.D)  there is evidence that the slope of x 2  is significant.

Amelia JOHNSON · Accepted Answer

Final Answer : B, Explanation :  To test if the model is significant, we perform an F-test with the null hypothesis being that all the regression coefficients in the model are zero. The F-statistic is calculated as (SSR/4)/(SSE/45) = 35. Since the p-value associated with this F-statistic is less than 0.05, we can conclude that the model is significant. Option B is correct. Option A is incorrect because the model is significant. Option C and D are incorrect because we cannot determine the significance of individual coefficients without performing t-tests or looking at the confidence intervals.

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