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? requals negative 0.921 Calculate the coefficient of determination.

_____(Round to three decimal places as needed.) 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. (Round to one decimal place as needed.)

About the unexplained variation? _____% of the variation is unexplained and is due to other factors or to sampling error. (Round to one decimal place as needed.)

Explanation / Answer

Here' the answer crisp and clear.:

correlation = r = -0.921 One can answer the 3 parts using only this part of information.

1.coeff of determination = r^2 = (-.921)^2 = .8482

2. It tells us that 84.82% of the variation is explained by the data. R squre bascially answers this question.

3.100%-84.82% = 15.18% of the variation is unexplained by the data

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