Q:

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.

Accepted Solution

A:
Answer:Option c) 0.898Step-by-step explanation:Given :Total variation = 20.711Explained variation = 18.592unexplained variation = 2.119we know that coefficient of determination  r² = [tex]\frac{\text{explained variation}}{\text{total variation}}[/tex]                                                                        = [tex]\frac{18.592}{20.711}[/tex]                                                                        = 0.897687 ≈ 0.898Option c, 0.898 is the answer.