Given a regression model of Y= -19.7 + 3.28X that produces the following Anova t

Question

Given a regression model of Y= -19.7 + 3.28X that produces the following Anova table

Source                      df                   SS                  MS

Regression               1                     7541.7          7541.7

Error                       10                    827              82.7               

Total                       11                    8368.7

A. How many data pairs were used in the study?

B. Find the coeifficient of Determination (r^2).

C. What is the value of the correlation coefficient?

Explanation / Answer

A. Here total df is 11 so data pairs are 12

B. Coeffiecient of determination R^2 =SSreg/SStotal=7541.7/8368.7=0.90118

C. Correlation coefficient = sqrt(R^2)=0.9493

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