In a regression analysis, if SST = 4500 and SSR = 2925, then the coefficient of determination is

A) .35.
B) .65.
C) .85.
D) .45.

Question

In a regression analysis, if SST = 4500 and SSR = 2925, then the coefficient of determination isA)  .35.B)  .65.C)  .85.D)  .45.

Luciano Bossa · Accepted Answer

Final Answer : B, Explanation :   The coefficient of determination, denoted as   R 2 R^2 R 2  , is calculated as   R 2 = S S R S S T R^2 = \frac{SSR}{SST} R 2 = SST SSR ​  , where SSR is the sum of squares due to regression and SST is the total sum of squares. Given SST = 4500 and SSR = 2925,   R 2 = 2925 4500 = 0.65 R^2 = \frac{2925}{4500} = 0.65 R 2 = 4500 2925 ​ = 0.65  .

In a regression analysis, if SST = 4500 and SSR = 2925, then the coefficient of determination is

A) .35.
B) .65.
C) .85.
D) .45.

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