Q = a + bP + cM + dPR where Q is the quantity demanded of the product Conlan Enterprises sells, P is the price of that product, M is income, and PR is the price of a related product. The results of the estimation are presented below:   DEPENDENT VARIABLE: Q R-SQUARE F-RATIO P-VALUE ON F OBSERVATIONS: 32 0.7984 36.14 0.0001 VARIABLE   PARAMETER ESTIMATE STANDARD ERROR T-RATIO P-VALUE INTERCEPT   846.3000 76.7000 11.03 0.0001 P   –8.6000 2.6000 –3.31 0.0026 M   0.0184

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 76E
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The following linear demand specification is estimated for Conlan Enterprises, a price-setting firm:

Q = a + bP + cM + dPR

where Q is the quantity demanded of the product Conlan Enterprises sells, P is the price of that product, M is income, and PR is the price of a related product. The results of the estimation are presented below:

 

DEPENDENT VARIABLE: Q R-SQUARE F-RATIO P-VALUE ON F
OBSERVATIONS: 32 0.7984 36.14 0.0001
VARIABLE   PARAMETER ESTIMATE STANDARD ERROR T-RATIO P-VALUE
INTERCEPT   846.3000 76.7000 11.03 0.0001
P   –8.6000 2.6000 –3.31 0.0026
M   0.0184 0.0048 3.83 0.0007
PR   –4.3075 1.2300 –3.50 0.0016

 

Assume that the income is $10,000, the price of the related good is $40, and Conlan chooses to set the price of this product at $30. At the prices and income given above, what is the income elasticity?

 

 
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