Due Week 3 and worth 200 points
Imagine that you work for the maker of a leading brand of low-calorie, frozen microwavable food that estimates the following demand equation for its product using data from 26 supermarkets around the country for the month of April.
For a refresher on independent and dependent variables, please go to Sophia’s Website and review the Independent and Dependent Variables tutorial, located at http://www.sophia.org/tutorials/independent-and-dependent-variables--3.
Option 1
Note: The following is a regression equation. Standard errors are in parentheses for the demand for widgets.
QD = - 5200 - 42P + 20PX + 5.2I + .20A + .25M
(2.002) (17.5) (6.2) (2.5) (0.09) (0.21)
R2 = 0.55 n = 26 F = 4.88
Your supervisor has asked you to compute the elasticities for each independent variable. Assume the following values for the independent variables:
Q = Quantity demanded of 3-pack units
P (in cents) = Price of the product = 500 cents per 3-pack unit
PX (in cents) = Price of leading competitor’s product = 600 cents per 3-pack unit
I (in dollars) = Per capita income of the standard metropolitan statistical area
(SMSA) in which the supermarkets are located = $5,500
A (in dollars) = Monthly advertising expenditures = $10,000
M = Number of microwave ovens sold in the SMSA in which the supermarkets are located = 5,000
Option 2
Note: The following is a regression equation. Standard errors are in parentheses for the demand for widgets.
QD = -2,000 - 100P + 15A + 25PX + 10I
(5,234) (2.29) (525) (1.75) (1.5)
R2 = 0.85 n = 120 F = 35.25
Your supervisor has asked you to compute the elasticities for each independent variable. Assume the following values for the independent variables:
Q = Quantity