Use the value of the linear correlation coefficient of determination. what does

Question

Use the value of the linear correlation coefficient of determination. what does this tell you about the explained variation of the data about the regression line? About the unexplained variation? r= -0.747 calculate the coefficient of determination____ what does this tell you about the explained variation of the data about the regression line? ___% of the variation can be explained by the regression line. about the unexplained variation ___% of the variation is unexplained and is due to other factors or to sampling errors.

Explanation / Answer

Solution :

Given that,

r = -0.747

The coefficient of determination = r2 = -0.7472 = 0.558

55.8% of the variation can be explained by the regression line .

1 - 55.8% = 44.2%

The unexplained variation 44.2% of the variation is unexplained and is due to other

factors or to sampling errors .

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