2. Question 2: Suppose that you estimate a model of the aggregate annual retail sales of new cars that specifies that sales of new cars are a function of real disposable income, the average retail price of a car adjusted by the consumer price index, and the number of sports utility vehicles sold (you decide to add this independent variable to take account of the fact that some potential new car buyers purchase sports utility vehicles instead). You use the data (annual from 2000 to 2014) and obtain the following estimated regression equation: CARS, = 1.32+ 4.91Y D; + 0.0012 PRICE, - 7.14 SUV, (0.00045) | (2.39) (71.40) 1 where CARS, = new car sales (in hundreds of thousands of units) in year t, YD = real disposable income (in hundreds of billions of dollars), PRICE = the average real price of a new car in year t (in dollars), SUV; = the number of sports utility vehicles sold in year t (in millions). You expect the variable YD to have a positive coefficient and the variables PRICE and SUV to have negative coefficients. Create and test the appropriate hypotheses to evaluate these expectations at the 5% level.

Survey Of Economics
10th Edition
ISBN:9781337111522
Author:Tucker, Irvin B.
Publisher:Tucker, Irvin B.
Chapter1: Introducing The Economic Way Of Thinking
Section1.A: Applying Graphs To Economics
Problem 2SQP
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2. Question 2: Suppose that you estimate a model of the aggregate annual retail sales of new
cars that specifies that sales of new cars are a function of real disposable income, the average
retail price of a car adjusted by the consumer price index, and the number of sports utility
vehicles sold (you decide to add this independent variable to take account of the fact that
some potential new car buyers purchase sports utility vehicles instead). You use the data
(annual from 2000 to 2014) and obtain the following estimated regression equation:
CARS, = 1.32 + 4.91Y D; + 0.0012 PRICE, -
7.14 SUV
(2.39)
(0.00045)
(71.40)
1
where
CARS = new car sales (in hundreds of thousands of units) in year t,
YD; = real disposable income (in hundreds of billions of dollars),
PRICE = the average real price of a new car in yeart (in dollars),
SUV = the number of sports utility vehicles sold in year t (in millions).
You expect the variable YD to have a positive coefficient and the variables PRICE and SUV
to have negative coefficients. Create and test the appropriate hypotheses to evaluate these
expectations at the 5% level.
Transcribed Image Text:2. Question 2: Suppose that you estimate a model of the aggregate annual retail sales of new cars that specifies that sales of new cars are a function of real disposable income, the average retail price of a car adjusted by the consumer price index, and the number of sports utility vehicles sold (you decide to add this independent variable to take account of the fact that some potential new car buyers purchase sports utility vehicles instead). You use the data (annual from 2000 to 2014) and obtain the following estimated regression equation: CARS, = 1.32 + 4.91Y D; + 0.0012 PRICE, - 7.14 SUV (2.39) (0.00045) (71.40) 1 where CARS = new car sales (in hundreds of thousands of units) in year t, YD; = real disposable income (in hundreds of billions of dollars), PRICE = the average real price of a new car in yeart (in dollars), SUV = the number of sports utility vehicles sold in year t (in millions). You expect the variable YD to have a positive coefficient and the variables PRICE and SUV to have negative coefficients. Create and test the appropriate hypotheses to evaluate these expectations at the 5% level.
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