SOLUTION: 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 regre

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Question 1045258: 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?
r=negative 0.733
What is the coefficient of determination? ​(Round to three decimal places as​ needed.)

What percent of the variation can be explained by the regression line.
​(Round to one decimal place as​ needed.)
What percent of the variation is unexplained and is due to other factors or to sampling error.​(Round to one decimal place as​ needed.)
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
The coefficient of determination is %28-0.733%29%5E2+=+0.537, rounded to three decimal places.
===> 53.7% of the variation is explained by the regression line.
===> 100% - 53.7% = 46.3% of the variation is unexplained and is due to other factors or to sampling error.