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Question

yes D https//www.mathd.com/Student/PlayerTest.aspx?testid- 184868454&tcenterwin; MATH120 B002 Sum 18 Quiz: Quiz 1 Week 2 Time Remaining: 02:58 18 of 18 (18 complete)This Qui E Qu Use the value of the linear correlation coefficient to calculate the coefficient of determination This Question: 1 pt tell you about the explained variation of the data about the regression line? About the unexp 0465 Calculate the coefficient of determination 216 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

The definition of R-squared (coefficient of determination) is fairly straight-forward; it is the percentage of the response variable variation that is explained by a linear model.

Hence, if R-squared is 0.216, then

21.6% of variation can be explained by the regression line.

78.4% of variation is unexplained and is due to other factors or to sampling error.