In a multiple regression equation with 5 independent variables, if the mean squa

Question

In a multiple regression equation with 5 independent variables, if the mean square due to regression is 20 and the total sum of squares is 200, the coefficient of determination is?
A. 0.01 B. 0.1 C. 0.5 D. 0.9 E. Not calculable In a multiple regression equation with 5 independent variables, if the mean square due to regression is 20 and the total sum of squares is 200, the coefficient of determination is?
A. 0.01 B. 0.1 C. 0.5 D. 0.9 E. Not calculable
A. 0.01 B. 0.1 C. 0.5 D. 0.9 E. Not calculable

Explanation / Answer

We have given n = 5 , Mean sum of square = 20 , SST = 200

So SSR = n * mean sum of square = 5 * 20 = 100

Coefficient of determination = SSR / SST = 100 / 200 = 0.5

So the correct option is C. 0.5

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