Question

Compute the coefficient of determination. Round your answer to four decimal places. A regression equation is obtained for a set of data points. It is found that the total sum of square is 103.5, the regression sum of squares is 89.8, and the error sum of squares is 13.7.

a. 0.1324
b. 0.1526
c. 0.8676
d. 1.1526

Answer 1

0.8676

Explanation:

Given that :

Total Sum of Square (SST) = 103.5

Regression Sum of Square (SSR) = 89.8

Erroe Sum of Square (SSE) = 13.7

The Coefficient of determination (R²) :

R² = SSR / SST

R² = 89.8 / 103.5

R² = 0.8676328

R² = 0.8676