Use the value of the linear correlation coefficient to calculate the coefficient

Question

Use the value of the linear correlation coefficient to calculate the coefficient of determination. What does this tell you about the explained variation of the data about the regression line? About the unexplained variation?

If r = -0.075

What does this tell you about the explained variation of the data about the regression line? (Fill in the blank) __._% of the variation can be explained by the regression line

About the unexplained variation? (Fill in the blank) __._% of the variation is unexplained and is due to other factors or to sampling error.

Explanation / Answer

from above coefficeint of determiantion R2 =(-0.075)2 =0.005625

hence 0.5625 % of variation can be expained by regression line

(100-0.5625)%=99.994375% of variation is unexplained by regression line

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