Question

A researcher computes the following analysis of regression table. Based on the data given, what is the decision for this test at a 0.05 level of significance? (Note: Complete the table first.)

Source of Variation SS df MS F

Regression 1 28

Residual Total 118 19

___X significantly predicts Y. '

___X does not significantly predict Y.

___There is not enough information to answer this question.

Answer 1

Answer: X significantly predicts Y

Explanation:

Given:

Source of Variation	SS	df	MS	F
Regression		1	28
Residual
Total	118	19

Regression:

Residual:

F-value

P-value

The p-value for the F-statistic is obtained from the F distribution table for F = 5.6, numerator degree of freedom = 1 and denominator degree of freedom = 18. (In excel use function =F.DIST.RT(5.6,1,18))

Conclusion: Since the p-value is less than 0.05 at a 5% significance level, the null hypothesis is rejected hence we can conclude that X fit the Y significantly.