Discuss how the coefficient of determination and the coefficient of correlation

Question

Discuss how the coefficient of determination and the coefficient of correlation are related and how they are used in regression analysis. Additionally, explain what information is provided by the F test and how this can be used for conducting a significance test on the relationship between independent and dependent variables. Finally, discuss how the coefficients of determination and correlation, along with the significance test results can be used to compare different regression models. Review the Discussion Rubric for assignment assessment criteria. Attached Excel spreadsheet work will be reviewed using the Combined Rubric.

Explanation / Answer

Coefficient of Determination is the Square of the Correlation Coefficient. Coefficient of Determination tells us how much variability in dependent variable is explained by the variability in independent variable.

Correlation Coefficient tells us whether there is relationship exist between variable and in what direction.

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