Estimated regression model

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1. The following estimated regression model was developed relating yearly income (Y in $1,000s) of 30 individuals with their age (X1) and their gender (X2) (0 if male and 1 if female).

= 30 + 0.7X1 + 3X2

Also provided are SST = 1,200 and SSE = 384. The multiple coefficient of determination is:

a. 0.32

b. 0.42

c. 0.68

d. 0.50

2. In a regression model involving 30 observations, the following estimated regression equation was obtained.

= 170 + 34X1 - 3X2 + 8X3 + 58X4 + 3X5

For this model, SSR = 1,740 and SST = 2,000. The value of MSE is

a. 348

b. 10.40

c. 10.83

d. 32.13

3. In a regression model involving 30 observations, the following estimated regression equation was obtained.

      = 170 + 34X1 - 3X2 + 8X3 + 58X4 + 3X5

For this model, SSR = 1,740 and SST = 2,000. The coefficient of determination for this model is

a. 0.6923

b. 0.1494

c. 0.1300

d. 0.8700

Reference no: EM1313545

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