In a multiple regression equation, k = 5 and n = 26, the MSE value is 3.41, and

Question

In a multiple regression equation, k = 5 and n = 26, the MSE value is 3.41, and SS total is 512.74. 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.)

rev: 03_18_2016_QC_CS-46018

In a multiple regression equation, k = 5 and n = 26, the MSE value is 3.41, and SS total is 512.74. 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

Ans:

df(regression)=5-1=4

df(error)=26-5=21

total df=25

SST=SS(regression)+SS(error)

MS=SS/df

F=MS(regression)/MS(error)=32.34

Fcritical=FINV(0.05,4,21)=2.84

As,F=32.34>2.84,we reject null hypothesis,H0.

There is sufficient evidence to conclude that Not all All   the regression coefficients equal zero.

Source SS df MS F Fcritical   Regression 441.13 4 110.28 32.34 2.84   Error 71.61 21 3.41   Total 512.74 25

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