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