multiple choice question based on multiple


Multiple choice question based on multiple regression.

1. Below you are given a partial computer output based on a sample of 16 observations.

Coefficient Standard Error

Constant

12.924

4.425

X1

-3.682

2.630

X2

45.216

12.560

Analysis of Variance

Source of Variation

Degrees of Freedom

Sum of Squares

Mean Square

 F

Regression

 

4,853

2,426.5

 

Error

 

 

485.3

 

The estimated regression equation is

Y = b0 + b1X1 + b2X2 + e

E(Y) = b0 + b1X1 + b2X2

= 12.924 - 3.682 X1 + 45.216 X2

= 4.425 + 2.63 X1 + 12.56 X2

2. A regression model involving 4 independent variables and a sample of 15 periods resulted in the following sum of squares. SSR = 165; SSE = 60. The coefficient of determination is

1. 0.3636
2. 0.7333
3. 0.275
4. 0.5

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