For a multiple regression model, SST = 1000 and SSR = 800.The multiple coefficient of determination is

A) .20.
B) .30.
C) .80.
D) .70.

Question

For a multiple regression model, SST = 1000 and SSR = 800.The multiple coefficient of determination isA)  .20.B)  .30.C)  .80.D)  .70.

Grace Fleetwood · Accepted Answer

Final Answer : C, Explanation :   The multiple coefficient of determination,   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 SSR = 800 and SST = 1000,   R 2 = 800 1000 = 0.80 R^2 = \frac{800}{1000} = 0.80 R 2 = 1000 800 ​ = 0.80  .

For a multiple regression model, SST = 1000 and SSR = 800.The multiple coefficient of determination is

A) .20.
B) .30.
C) .80.
D) .70.

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