8 points 16.E.027, A s ports psychol umber of wi ogist tested whether hypothetic

Question

8 points 16.E.027, A s ports psychol umber of wi ogist tested whether hypothetical study. season can predict the ns in the following season in a Round your value for Fobt to two decima the number of team wins in the previous 30 tea mple of 30 teams. Complete the regression table for this Source of df MS Fobt Regression Residual (error) 6 Total ake a decision to retain or reject the null hypothesis. (Assume alpha equal to 0.05.) O Retain the null hypothesis. Reject the null hypothesis. y need to use the appropriate table in Appendix B to answer this question.

Explanation / Answer

The Anova format for simple linear regression is calculated as follows:

The degrees of freedom (Regression)=1; degrees of freedom (Error)=n-2=30-2=28

MS(Regression)=SS(Regression)/df(Regression)=46/1=46

SS(Error)=MS(Error)*df(Error)=6*28=168

F=MS(Regression)/MS(Error)=46/6=7.67

The critical F at df(1,28) and alpha=0.05 is 4.20.

Per rejection rule based on critical value, reject null hypothesis if observed test statistic is greater than critical value. Here, 7.67>4.20, therefore, reject null hypothesis.

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