Question

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.

Answer 1

0.898

Explanation:

The formula for the Coefficient of determination = ratio of explained variation to Total variation

From the above question, we have the following values

Explained variation = 18.592

Total variation = 20.711

The coefficient of determination = 18.592 : 20.711

= 18.592/20.711

= 0.8976872194

Approximately ≈ 0.898

Therefore, the coefficient of determination is 0.898