A sports psychologist tested whether the number of team wins in the previous sea

Question

A sports psychologist tested whether the number of team wins in the previous season can predict the number of wins in the following season in a sample of 31 teams. Complete the regression table for this hypothetical study. (Round your value for Fobt to two decimal places.)
Source of Variation   SS df MS Fobt Regression   49 Residual (error)   8 Total
Make a decision to retain or reject the null hypothesis. (Assume alpha equal to 0.05.) Retain the null hypothesis. Reject the null hypothesis.

You may need to use the appropriate table in Appendix B to answer this question. A sports psychologist tested whether the number of team wins in the previous season can predict the number of wins in the following season in a sample of 31 teams. Complete the regression table for this hypothetical study. (Round your value for Fobt to two decimal places.)
Source of Variation   SS df MS Fobt Regression   49 Residual (error)   8 Total
Make a decision to retain or reject the null hypothesis. (Assume alpha equal to 0.05.) Retain the null hypothesis. Reject the null hypothesis.

You may need to use the appropriate table in Appendix B to answer this question. A sports psychologist tested whether the number of team wins in the previous season can predict the number of wins in the following season in a sample of 31 teams. Complete the regression table for this hypothetical study. (Round your value for Fobt to two decimal places.)
Source of Variation   SS df MS Fobt Regression   49 Residual (error)   8 Total
Make a decision to retain or reject the null hypothesis. (Assume alpha equal to 0.05.) Retain the null hypothesis. Reject the null hypothesis.

You may need to use the appropriate table in Appendix B to answer this question.

Explanation / Answer

Since there is only one independent variable, Regression df = 1

n = 31 so total df = 31 - 1 = 30

Error df = 30 - 1 = 29

Hence,

The complete regression table will be:

Critical value = 4.18

Hence,

Reject the null hypothesis.

Source of Variation SS Df MS Fobt Regression 49 1 49 6.13 Error 8*29 = 232 29 8 Total 49+232 = 281 30

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