Question

If a data set produces SSR = 400 and SSE = 100, then the coefficient of determination is a. .10. b. .80. c. .25. d. .40.

Answer 1

Answer: 0.8

Step-by-step explanation:

Given the following :

Sum of Square Error Error (SSE) = 100 which is the difference between the actual and predicted value.

Sum of Square due to regression (SSR) = 400

The Coefficient of determination (R^2) :

(Sum of Square Regression(SSR)) / Sum of Squared total (SST))

Sum of Squared total (SST) = SSE + SSR

Sum of Squared Total = (100 + 400) = 500

R^2 = 400 / 500

R^2 = 0.8