Question

28)A regression equation is obtained for a collection of paired data. It is found that the total variation is 24.488, the explained variation is 15.405, and the unexplained variation is 9.083. Find the coefficient of determination.

Answer 1

Answer: The coefficient of determination = 0.6291

Step-by-step explanation:

Given: Total variation is 24.488, the explained variation is 15.405, and the unexplained variation is 9.083.

The coefficient of determination is computed as:

$\text{ coefficient of determination} =\frac{\text{explained variation }}{\text{total variation}}$

Substituting given values, we get

$\text{coefficient of determination} =\frac{15.405}{24.488}$

$=0.6291$

Therefore, the coefficient of determination = 0.6291