Question

PLEASE SHOW THE PROCESS

A policy analyst would like to predict well-being from a set of five predictor variables for a sample of 49 teachers. A multiple linear regression analysis was conducted. Complete the following ANOVA summary table for the test of significance of the overall regression model. Except for the P-value, report all answers accurate to 3 decimal places; report the P-value accurate to 4 decimal places. Use a significance level of α=0.05α=0.05.

Source	SS	df	MS	F	P-value
Regression			19
Residual	591
TOTAL

What is your decision for the hypothesis test?

• Reject the null hypothesis, H0:β1=β2=...=β5=0H0:β1=β2=...=β5=0
• Fail to reject H0H0

What is your final conclusion?

• The evidence supports the claim that one or more of the regression coefficients is non-zero
• The evidence supports the claim that all of the regression coefficients are zero
• There is insufficient evidence to support the claim that at least one of the regression coefficients is non-zero
• There is insufficient evidence to support the claim that all of the regression coefficients are equal to zero

Answer 1

df(regression ) =number of independent variables k=5

df(residual) =n-k-1=49-5-1=43

SS(regression)=MS*df=19*5 =95

MS(errror) =591/44 =13.432

F =MS(regression)/MS(errror) =1.415

p value =Fdist(1.415,5,44)

Source	SS	df	MS	F	p vlaue
regression	95.00	5	19.000	1.415	0.2378
error	591.00	44	13.432
total	686.00	49

since p value >0.05

Fail to reject H0

There is insufficient evidence to support the claim that at least one of the regression coefficients is non-zero