Given the following ANOVA table a Determine the coefficient

Given the following ANOVA table: a. Determine the coefficient of determination.(Round your answer to 2 decimal places.) Coefficient of determination b. Assuming a direct relationship between the variables, what is the correlation coefficient? (Round your answer to 2 decimal places.) Coefficient of correlation c. Determine the standard error of estimate. (Round your answer to 2 decimal places.) Standard error of estimate

Solution

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Assuming a direct relationship between the variables, what is the correlation coefficient? (Round your answer to 2 decimal places.)

      

    

    

Answer

a) 1650 / 2500 = 0.660 = R^2 = SSR / SSTO

b) r = sqrt(R^2) = sqrt(0.66) = 0.81

c) SE = sqrt(MSE) = sqrt(53.13) = 7.29

Given the following ANOVA table: