a) Provide an interpretation for the coefficient on PB. Is its sign consistent with your expectations? Explain.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
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Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
Problem 31EQ
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Question 3
We have a time series dataset from the US which includes the following variables for the period 1960-
1999:
Y:: Per capita chicken consumption (in pounds) in year t.
PC: The price of chicken (in cents per pound) in year t.
PB: The price of beef (in cents per pound) in year t.
YD:: Per capita disposable income (in hundreds of dollars) in year t.
YD2:: YD: squared, i.e. YD2, = YD?
We estimate by OLS the following regression model:
Table 2
■
I
■
Dependent variable: Y
Number of observations: 40
Variable
intercept
PC
PB
YD
YD2
R-squared
F statistic
(p-value)
a)
Coefficient
27.6
-0.61
0.09
0.20
-0.0001
0.99
8.74
(0.006)
Standard Error
1.58
0.16
0.04
0.01
0.00005
Provide an interpretation for the coefficient on PB. Is its sign consistent with your
expectations? Explain.
Transcribed Image Text:Question 3 We have a time series dataset from the US which includes the following variables for the period 1960- 1999: Y:: Per capita chicken consumption (in pounds) in year t. PC: The price of chicken (in cents per pound) in year t. PB: The price of beef (in cents per pound) in year t. YD:: Per capita disposable income (in hundreds of dollars) in year t. YD2:: YD: squared, i.e. YD2, = YD? We estimate by OLS the following regression model: Table 2 ■ I ■ Dependent variable: Y Number of observations: 40 Variable intercept PC PB YD YD2 R-squared F statistic (p-value) a) Coefficient 27.6 -0.61 0.09 0.20 -0.0001 0.99 8.74 (0.006) Standard Error 1.58 0.16 0.04 0.01 0.00005 Provide an interpretation for the coefficient on PB. Is its sign consistent with your expectations? Explain.
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