Question

Use the given information to find the coefficient of determination. 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.

a) 1.114.
b) 0.102.
c) ) 0.898.
d) 0.114.

Answer 1

Answer:

Option c) 0.898

Step-by-step explanation:

Given :

Total variation = 20.711

Explained variation = 18.592

unexplained variation = 2.119

we know that coefficient of determination  r² = $\frac{\text{explained variation}}{\text{total variation}}$

                                                                       = $\frac{18.592}{20.711}$

                                                                       = 0.897687 ≈ 0.898

Option c, 0.898 is the answer.