A manufacturer of computer workstations gathered average monthly sales figures from its 56 dealerships across the country and estimated the demand for its product using the following regression equation: Q=B0+ B₁ PRICE + ẞ2 ADV + ẞ3 PRICE C where Q is the number of computer workstations sold monthly, PRICE is the price of the computer workstation, ADV is the advertising expenditures, and PRICE, is the average price of a leading competitor's computer workstation. The regression results are as follows: DEPENDENT VARIABLE: Q PROB(F-STATISTIC) OBSERVATIONS: 56 R-SQUARED 0.68 F-STATISTIC 21.25 Standard 0.04 Variable Coefficient error Intercept 15,000.0 5234.0 PRICE -2.8 1.29 ADV 150.0 175.0 PRICEC 0.2 0.13 a. Which coefficients have a statistically significant effect on the number of workstations sold? Substantiate your answers appropriately. b. Calculate the expected number of workstations sold when PRICE = $7,000, ADV = $52, and PRICE $8,000. c. Calculate the own-price elasticity of demand for computer workstations. d. Calculate the upper and lower 95% confidence interval for ADV.

Managerial Economics: Applications, Strategies and Tactics (MindTap Course List)
14th Edition
ISBN:9781305506381
Author:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
Publisher:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
Chapter4: Estimating Demand
Section: Chapter Questions
Problem 5E
icon
Related questions
Question
A manufacturer of computer workstations gathered average monthly sales figures from its
56 dealerships across the country and estimated the demand for its product using the
following regression equation:
Q=B0+ B₁ PRICE + ẞ2 ADV + ẞ3 PRICE C
where Q is the number of computer workstations sold monthly, PRICE is the price of the
computer workstation, ADV is the advertising expenditures, and PRICE, is the average price
of a leading competitor's computer workstation. The regression results are as follows:
DEPENDENT VARIABLE: Q
PROB(F-STATISTIC)
OBSERVATIONS: 56
R-SQUARED
0.68
F-STATISTIC
21.25
Standard
0.04
Variable Coefficient error
Intercept 15,000.0
5234.0
PRICE
-2.8
1.29
ADV
150.0
175.0
PRICEC
0.2
0.13
a. Which coefficients have a statistically significant effect on the number of workstations
sold? Substantiate your answers appropriately.
b. Calculate the expected number of workstations sold when PRICE = $7,000, ADV = $52,
and PRICE
$8,000.
c. Calculate the own-price elasticity of demand for computer workstations.
d. Calculate the upper and lower 95% confidence interval for ADV.
Transcribed Image Text:A manufacturer of computer workstations gathered average monthly sales figures from its 56 dealerships across the country and estimated the demand for its product using the following regression equation: Q=B0+ B₁ PRICE + ẞ2 ADV + ẞ3 PRICE C where Q is the number of computer workstations sold monthly, PRICE is the price of the computer workstation, ADV is the advertising expenditures, and PRICE, is the average price of a leading competitor's computer workstation. The regression results are as follows: DEPENDENT VARIABLE: Q PROB(F-STATISTIC) OBSERVATIONS: 56 R-SQUARED 0.68 F-STATISTIC 21.25 Standard 0.04 Variable Coefficient error Intercept 15,000.0 5234.0 PRICE -2.8 1.29 ADV 150.0 175.0 PRICEC 0.2 0.13 a. Which coefficients have a statistically significant effect on the number of workstations sold? Substantiate your answers appropriately. b. Calculate the expected number of workstations sold when PRICE = $7,000, ADV = $52, and PRICE $8,000. c. Calculate the own-price elasticity of demand for computer workstations. d. Calculate the upper and lower 95% confidence interval for ADV.
Expert Solution
steps

Step by step

Solved in 2 steps with 4 images

Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Managerial Economics: Applications, Strategies an…
Managerial Economics: Applications, Strategies an…
Economics
ISBN:
9781305506381
Author:
James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
Publisher:
Cengage Learning