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

Option c) 0.898

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}}`

=
`(18.592)/(20.711)`

= 0.897687 ≈ 0.898

Option c, 0.898 is the answer.