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Use the value of the linear correlation coefficient r to find the coefficient of determination and...

Use the value of the linear correlation coefficient r to find the coefficient of determination and the percentage of the total variation that can be explained by the linear relationship between the two variables.

r=0.694

What is the value of the coefficient of​ determination?

r2=______

​(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.)

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Answer #1

Solution :

Given that,

r = 0.694

The value of the coefficient of​ determination is,

r2 = 0.6942 = 0.4816

The percentage of the total variation that can be explained by the linear relationship between the two​ variables is 48.16%

Explained variation = 48.16 %

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