In a multiple regression equation, k = 4 and n = 30, the MSE value is 7.93, and

Question

In a multiple regression equation, k = 4 and n = 30, the MSE value is 7.93, and SS total is 433.01. At the 0.05 significance level, can we conclude that any of the regression coefficients are not equal to 0? (Round df values to nearest whole number and all other answers 2 decimal places.)

In a multiple regression equation, k = 4 and n = 30, the MSE value is 7.93, and SS total is 433.01. At the 0.05 significance level, can we conclude that any of the regression coefficients are not equal to 0? (Round df values to nearest whole number and all other answers 2 decimal places.)

Explanation / Answer

Following is the completed ANOVA table:

so

df1= 4, df2 = 25

Critical value of F is 2.7587

Reject H0 if F > 2.7587

The p-value is 0.0004

Since p-value is less than 0.05 so we fail to reject the null hypothesis. That is model is signficant.

Source SS df MS F Regression 234.76 4 234.76/4=58.69 58.69/7.93=7.4 Error 7.93*25=198.25 30-4-1=25 7.93 Total 433.01 29

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