1.In a regression model involving 44 observations, the following estimated regression equation was obtained.

= 29 + 18X₁ + 43X₂ + 87X₃

For this model SSR = 600 and SSE = 400. The coefficient of determination for the above model is

a. 0.667

b. 0.600

c. 0.336

d. 0.400

2. A regression model between sales (Y in $1,000), unit price (X₁ in dollars) and television advertisement (X₂ in dollars) resulted in the following function:

       = 7 - 3X₁ + 5X₂

For this model SSR = 3500, SSE = 1500, and the sample size is 18. The coefficient of the unit price indicates that if the unit price is:

a. increased by $1 (holding advertising constant), sales are expected to increase by $3

b. decreased by $1 (holding advertising constant), sales are expected to decrease by $3

c. increased by $1 (holding advertising constant), sales are expected to increase by $4,000

d. increased by $1 (holding advertising constant), sales are expected to decrease by $3,000

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

= 17 + 4X₁ - 3X₂ + 8X₃ + 8X₄

For this model SSR = 700 and SSE = 100. The coefficient of determination for the above model is approximately

a. -0.875

b. 0.875

c. 0.125

d. 0.144