Given that the sum of squares for error is 60 and the sum of squares for regression is 140, then the coefficient of determination is:

A) 0.429
B) 0.300
C) 0.700
D) 0.837
E) 1

Question

Given that the sum of squares for error is 60 and the sum of squares for regression is 140, then the coefficient of determination is:A)  0.429B)  0.300C)  0.700D)  0.837E)  1

Jessica Hernandez · Accepted Answer

Final Answer : C, Explanation :   The coefficient of determination,   R 2 R^2 R 2  , is calculated as the ratio of the sum of squares for regression (SSR) to the total sum of squares (SST), which is the sum of SSR and the sum of squares for error (SSE). Here,   R 2 = 140 140 + 60 = 140 200 = 0.7 R^2 = \frac{140}{140 + 60} = \frac{140}{200} = 0.7 R 2 = 140 + 60 140 ​ = 200 140 ​ = 0.7  .

Given that the sum of squares for error is 60 and the sum of squares for regression is 140, then the coefficient of determination is:

A) 0.429
B) 0.300
C) 0.700
D) 0.837
E) 1

Definitions

Learning Objectives

Learning Objectives

Related questions