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Use the value of the linear correlation coefficient r to find the coefficient of

ID: 3228440 • Letter: U

Question

Use the value of the linear correlation coefficient r to find the coefficient of determination and the percentage of total variation that can be explained by the linear relationship between the two variables. r = 0, 093 What is the value of the coefficient of determination? r^2 = .0086 (Round to four decimal places as needed) What is the percentage of the total variation that can be explained by the linear relationship between the two variables? Explained variation = _____% (Round to two decimal places as needed.)

Explanation / Answer

r 2 = 0.0086 and 0.86% of the variation is explained by the regression line (and 99.14% is due to random and unexplained factors).

Hence Explained variation =0.86%

r 2=0.008649

r 2 = 0.0086 and 0.86% of the variation is explained by the regression line (and 99.14% is due to random and unexplained factors).

Hence Explained variation =0.86%

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