An educational researcher would like to predict well-being from a set of four predictor variables for a sample of 45 participants. 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 a = 0.05. Source df MS F P-value Regression 30 Residual 871 TOTAL 00

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An educational researcher would like to predict well-being from a set of four predictor variables for a
sample of 45 participants. 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 a = 0.05.
Source
df
MS
F
P-value
Regression
30
Residual
871
TOTAL
What is your decision for the hypothesis test?
O Reject the null hypothesis, Ho: B1 = B2 = ... = B4 = 0
%3D
O Fail to reject Ho
What is your final conclusion?
OThe evidence supports the claim that one or more of the regression coefficients is non-zero
OThe evidence supports the claim that all of the regression coefficients are zero
OThere is insufficient evidence to support the claim that at least one of the regression coefficients is
non-zero
OThere is insufficient evidence to support the claim that all of the regression coefficients are equal to
zero
Transcribed Image Text:An educational researcher would like to predict well-being from a set of four predictor variables for a sample of 45 participants. 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 a = 0.05. Source df MS F P-value Regression 30 Residual 871 TOTAL What is your decision for the hypothesis test? O Reject the null hypothesis, Ho: B1 = B2 = ... = B4 = 0 %3D O Fail to reject Ho What is your final conclusion? OThe evidence supports the claim that one or more of the regression coefficients is non-zero OThe evidence supports the claim that all of the regression coefficients are zero OThere is insufficient evidence to support the claim that at least one of the regression coefficients is non-zero OThere is insufficient evidence to support the claim that all of the regression coefficients are equal to zero
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