Given the following ANOVA table: Source DF SS MS F Regression 1 1,350 1,350.00 3

Question

Given the following ANOVA table: Source DF SS MS F Regression 1 1,350 1,350.00 36.00 Error 14 525 37.50 Total 15 1,875

(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

Explanation / Answer

from above table:

a)  coefficient of determination R2 =SSR/SST =1350/1875=0.72

b) correlation coefficient =(R2)1/2 =(0.72)1/2 =0.8485

c)

standard error of estimate =(MSE)1/2 =(37.5)1/2 =6.1237

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