4-15 Consumption of hamburgers (thousands of burgers per week) in twelve different cities is shown here. Prices of hamburgers, income per capita (in $1,000s), and prices of hot dogs for the cities, are also shown on the next page. City 1 23 45678 9 10 11 12 Hamburger Consumption 50 80 95 105 70 85 55 60 75 90 100 65 Hamburger Price $1.50 1.35 1.25 1.20 1.40 1.30 1.50 1.45 1.35 1.25 1.20 1.45 Income ($1,000s) 12.0 14.2 15.0 16.0 13.8 14.3 13.3 13.3 13.7 14.5 15.2 13.6 Hot Dog the pri Price $1.80 1.55 1.45 1.35 1.60 1.50 1.70 1.70 1.60 1.50 1.35 1.65 a. Use regression analysis to estimate hamburger consumption as a multiplicative function of the price of hamburgers, income, and hot dog price. Write the equation, t-statistics, and the coefficient of determination. Which coefficients are significant at the 0.05 level?

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4-15 Consumption of hamburgers (thousands of burgers per week) in twelve different cities is
shown here. Prices of hamburgers, income per capita (in $1,000s), and prices of hot dogs for
the cities, are also shown on the next page.
City
1
2
3
4
5
6
7
8
9
10
11
12
a.
Hamburger
Consumption
50
80
95
105
70
85
55
60
75
90
100
65
Hamburger
Price
$1.50
1.35
1.25
1.20
1.40
1.30
1.50
1.45
1.35
1.25
1.20
1.45
Income
($1,000s)
12.0
14.2
15.0
16.0
13.8
14.3
13.3
13.3
13.7
14.5
15.2
13.6
Hot Dog
Price
$1.80
1.55
1.45
1.35
1.60
1.50
1.70
1.70
1.60
1.50
1.35
1.65
Use regression analysis to estimate hamburger consumption as a multiplicative function
of the price of hamburgers, income, and hot dog price. Write the equation, t-statistics,
and the coefficient of determination. Which coefficients are significant at the 0.05 level?
b. Based on the estimates from part (a), what are the price, income, and cross elasticities?
Is the cross elasticity consistent with economic theory? Explain.
Transcribed Image Text:4-15 Consumption of hamburgers (thousands of burgers per week) in twelve different cities is shown here. Prices of hamburgers, income per capita (in $1,000s), and prices of hot dogs for the cities, are also shown on the next page. City 1 2 3 4 5 6 7 8 9 10 11 12 a. Hamburger Consumption 50 80 95 105 70 85 55 60 75 90 100 65 Hamburger Price $1.50 1.35 1.25 1.20 1.40 1.30 1.50 1.45 1.35 1.25 1.20 1.45 Income ($1,000s) 12.0 14.2 15.0 16.0 13.8 14.3 13.3 13.3 13.7 14.5 15.2 13.6 Hot Dog Price $1.80 1.55 1.45 1.35 1.60 1.50 1.70 1.70 1.60 1.50 1.35 1.65 Use regression analysis to estimate hamburger consumption as a multiplicative function of the price of hamburgers, income, and hot dog price. Write the equation, t-statistics, and the coefficient of determination. Which coefficients are significant at the 0.05 level? b. Based on the estimates from part (a), what are the price, income, and cross elasticities? Is the cross elasticity consistent with economic theory? Explain.
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