In a multiple regression equation, k = 5 and n = 24, the MSE value is 5.20, and

Question

In a multiple regression equation, k = 5 and n = 24, the MSE value is 5.20, and SS total is 515.31. At the .05 significance level, can we conclude that any of the regression coefficients are not equal to 0? (Round your answers to 2 decimal places.)

. the regression coefficients equal zero.

In a multiple regression equation, k = 5 and n = 24, the MSE value is 5.20, and SS total is 515.31. At the .05 significance level, can we conclude that any of the regression coefficients are not equal to 0? (Round your answers to 2 decimal places.)

Explanation / Answer

MSE=5.20=SSE/n-k=SSE/24-5, SSE/19

SSE=5.20*19=98.8

SST=SSE+SSR

515.31=98.8+SSR

SSR=416.51

MSR=SSR/k-1=416.51/5-1=104.1275

F=MSR/MSE=104.1275/5.20=20.02

The p value is 0.0000.

The p value is less than alpha=0.05. Reject H0, to conclude that regression coefficients are not equal to 0.

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