A regression equation is obtained for a collection of paired

A regression equation is obtained for a collection of paired data. It is found that the total variation is 20.711, the explained variation is 18.592, and the unexplained variation is 2.119. Find the coefficient of determination.

Solution

The coefficient of determination is the ratio of the explained variation to the total variation.

So, the coefficient of determination is calculated like this: 18.592/20.711=0.8978 or 89.78%

A regression equation is obtained for a collection of paired data. It is found that the total variation is 20.711, the explained variation is 18.592, and the un

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