In a multiple regression model involving 44 observations, the following estimated regression equation was obtained. 1 + 63x 2 + 80x 3 For this model, SSR = 800 and SSE = 200.The multiple coefficient of determination for the above model is A) .667. B) .800. C) .336. D) .200. class=answers-bank-image d-inline rel=preload = 45+ 19x 1 + 63x 2 + 80x 3 For this model, SSR = 800 and SSE = 200.The multiple coefficient of determination for the above model isA) .667.B) .800.C) .336.D) .200.

Question

In a multiple regression model involving 44 observations, the following estimated regression equation was obtained. ​  1  + 63x 2  + 80x 3  ​ For this model, SSR = 800 and SSE = 200.The multiple coefficient of determination for the above model is A)  .667. B)  .800. C)  .336. D)  .200. class=answers-bank-image d-inline rel=preload > = 45+ 19x 1  + 63x 2  + 80x 3 ​For this model, SSR = 800 and SSE = 200.The multiple coefficient of determination for the above model isA)  .667.B)  .800.C)  .336.D)  .200.

Jackie Siebert · Accepted Answer

Final Answer : B, Explanation :  The formula for the multiple coefficient of determination is:R squared = SSR / SSTwhere SST is the total sum of squares, which is equal to the sum of squared residuals (SSE) plus the sum of squared regression (SSR):SST = SSE + SSRPlugging in the given values, we get:SST = SSE + SSR = 200 + 800 = 1000R squared = SSR / SST = 800 / 1000 = 0.8Therefore, the multiple coefficient of determination for the above model is 0.8 or 80%. The closest choice is B.

In a multiple regression model involving 44 observations, the following estimated regression equation was obtained. = 45+ 19x₁ + 63x₂ + 80x₃

For this model, SSR = 800 and SSE = 200.The multiple coefficient of determination for the above model is

A) .667.
B) .800.
C) .336.
D) .200.

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Learning Objectives

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In a multiple regression model involving 44 observations, the following estimated regression equation was obtained. ​ = 45+ 19x1 + 63x2 + 80x3​For this model, SSR = 800 and SSE = 200.The multiple coefficient of determination for the above model isA) .667.B) .800.C) .336.D) .200.

Definitions

Learning Objectives

Learning Objectives

Related questions

In a multiple regression model involving 44 observations, the following estimated regression equation was obtained. = 45+ 19x₁ + 63x₂ + 80x₃

For this model, SSR = 800 and SSE = 200.The multiple coefficient of determination for the above model is

A) .667.
B) .800.
C) .336.
D) .200.