Question
You are told by someone that they believe the soft drink demand schedule is incorrectly specified. A key variable that is missing is whether the
You are told by someone that they believe the soft drink demand schedule is incorrectly specified. A key variable that is missing is whether the state is on a coastline. Everyone knows that States on the coast will have higher soft drink demand because beach goers absolutely love to take soft drinks to the beach." You will assess this statement by including a dummy variable for a state with an ocean (or Great Lakes Lake) front.
The dataset below can be used in Excel and is required to answer the questions below.
State | Cans | Price | Income | Temp |
Alabama | 200 | 2.19 | 13 | 66 |
Arizona | 150 | 1.99 | 17 | 62 |
Arkansas | 237 | 1.93 | 11 | 63 |
California | 135 | 2.59 | 25 | 56 |
Colorado | 121 | 2.29 | 19 | 52 |
Connecticut | 118 | 2.49 | 27 | 50 |
Delaware | 217 | 1.99 | 28 | 52 |
Florida | 242 | 2.29 | 18 | 72 |
Georgia | 295 | 1.89 | 14 | 64 |
Idaho | 85 | 2.39 | 16 | 46 |
Illinois | 114 | 2.35 | 24 | 52 |
Indiana | 184 | 2.19 | 20 | 52 |
Iowa | 104 | 2.21 | 16 | 50 |
Kansas | 143 | 2.17 | 17 | 56 |
Kentucky | 230 | 2.05 | 13 | 56 |
Louisiana | 269 | 1.97 | 15 | 69 |
Maine | 111 | 2.19 | 16 | 41 |
Maryland | 217 | 2.11 | 21 | 54 |
Massachusetts | 114 | 2.29 | 22 | 47 |
Michigan | 108 | 2.25 | 21 | 47 |
Minnesota | 108 | 2.31 | 18 | 41 |
Mississippi | 248 | 1.98 | 10 | 65 |
Missouri | 203 | 1.94 | 19 | 57 |
Montana | 77 | 2.31 | 19 | 44 |
Nebraska | 97 | 2.28 | 16 | 49 |
Nevada | 166 | 2.19 | 24 | 48 |
New Hampshire | 177 | 2.27 | 18 | 35 |
New Jersey | 143 | 2.31 | 24 | 54 |
New Mexico | 157 | 2.17 | 15 | 56 |
New York | 111 | 2.43 | 25 | 48 |
North Carolina | 330 | 1.89 | 13 | 59 |
North Dakota | 63 | 2.33 | 14 | 39 |
Ohio | 165 | 2.21 | 22 | 51 |
Oklahoma | 184 | 2.19 | 16 | 82 |
Oregon | 68 | 2.25 | 19 | 51 |
Pennsylvania | 121 | 2.31 | 20 | 50 |
Rhode Island | 138 | 2.23 | 20 | 50 |
South Carolina | 237 | 1.93 | 12 | 65 |
South Dakota | 95 | 2.34 | 13 | 45 |
Tennessee | 236 | 2.19 | 13 | 60 |
Texas | 222 | 2.08 | 17 | 69 |
Utah | 100 | 2.37 | 16 | 50 |
Vermont | 64 | 2.36 | 16 | 44 |
Virginia | 270 | 2.04 | 16 | 58 |
Washington | 77 | 2.19 | 20 | 49 |
West Virginia | 144 | 2.11 | 15 | 55 |
Wisconsin | 97 | 2.38 | 19 | 46 |
Wyoming | 102 | 2.31 | 19 | 46 |
The states designated (by someone) as Ocean (and GreatLakes) states are
Population by state is:
State | Population |
Alabama | 4,903,185 |
Arizona | 7,278,717 |
Arkansas | 3,017,825 |
California | 39,512,223 |
Colorado | 5,758,736 |
Connecticut | 3,565,287 |
Delaware | 973,764 |
Florida | 21,477,737 |
Georgia | 10,617,423 |
Idaho | 1,787,065 |
Illinois | 12,671,821 |
Indiana | 6,732,219 |
Iowa | 3,155,070 |
Kansas | 2,913,314 |
Kentucky | 4,467,673 |
Louisiana | 4,648,794 |
Maine | 1,344,212 |
Maryland | 6,045,680 |
Massachusetts | 6,949,503 |
Michigan | 9,986,857 |
Minnesota | 5,639,632 |
Mississippi | 2,976,149 |
Missouri | 6,137,428 |
Montana | 1,068,778 |
Nebraska | 1,934,408 |
Nevada | 3,080,156 |
New Hampshire | 1,359,711 |
New Jersey | 8,882,190 |
New Mexico | 2,096,829 |
New York | 19,453,561 |
North Carolina | 10,488,084 |
North Dakota | 762,062 |
Ohio | 11,689,100 |
Oklahoma | 3,956,971 |
Oregon | 4,217,737 |
Pennsylvania | 12,801,989 |
Rhode Island | 1,059,361 |
South Carolina | 5,148,714 |
South Dakota | 884,659 |
Tennessee | 6,833,174 |
Texas | 28,995,881 |
Utah | 3,205,958 |
Vermont | 623,989 |
Virginia | 8,535,519 |
Washington | 7,614,893 |
West Virginia | 1,792,147 |
Wisconsin | 5,822,434 |
Wyoming | 578,759 |
The demand specifications below are guides to answer the questions below.
DEMAND SPECIFICATION
(1) Cans = +1*Price +2*Income +3*Temp +4*Ocean.
Use Excel Data Analysis Regression to estimate the demand function.
DEMAND SPECIFICATION (#2b)
Use the same Soft Drink Demand data as in question #1 to estimate a multiplicative specification of the demand function with the Ocean dummy variable included. Consider the following multiplicative soft drink demand specification:
(2a) Cans = *Price1*Income2*Temp3*e4*Ocean.
Use Excel Data Analysis to estimate the demand function.Transform the data into natural log variables. The log-linear equation to estimate is:
(2b) lnCans = ln + 1*lnPrice + 2*lnIncome + 3*lnTemp + 4*Ocean.
The math notation "ln" refers to natural log.
DEMAND SPECIFICATION (#3)
Suppose someone has made the statement "We know that the Soft drink Demand Function is not correctly specified. Everyone knows a demand function should include the potential number of customers in the relevant market. Thus, we should include state populations in the demand specification".Population by state is provided below.
DEMAND SPECIFICATION (#4b)
Consider the following multiplicative soft drink demand specification:
(4a) Cans = *Price1*Income2*Temp3*Population4.
Use Excel Data Analysis to estimate this multiplicative demand function.Transform the data into natural log variables to estimate the multiplicative equation. The log-linear equation to estimate is:
(4b) lnCans = ln +1*lnPrice +2*lnIncome +3*lnTemp +4*lnPopulation.
DEMAND SPECIFICATION (#5)
Consider the following linear soft drink demand specification:
(5) Cans = +1*Price +2*Income +3*Temp +4*Population +5*Ocean.
Use Excel Data Analysis to estimate this linear demand function which includes both Population and Ocean.
DEMAND SPECIFICATION (#6b)
Consider the following multiplicative soft drink demand specification:
(6a) Cans = *Price1*Income2*Temp3*Population4*e5*Ocean.
Use Excel Data Analysis to estimate the multiplicative demand function. Transform the data into natural log variables to estimate the multiplicative equation. The log-linear equation to estimate is:
(6b) lnCans = ln +1*lnPrice +2*lnIncome +3*lnTemp +4*lnPopulation +5*Ocean.
QUESTION 1
Refer to the Excel Regression output for Equation (1) Cans = + 1*Price + 2*Income + 3*Temp + 4*Ocean. What is the estimated coefficient for Price?
A. | -124.91.
| |
B. | -186.53. | |
C. | -233.88. | |
D. | -344.25. |
QUESTION 2
Refer to the Regression output for Equation (1). At what level is the coefficient for Price statistically significant?
A. | .01 level.
| |
B. | .05 level. | |
C. | .10 level. | |
D. | Not statistically significant at any of the above levels. |
QUESTION 3
Refer to the output for Equation (2b) lnCans = ln + 1*lnPrice + 2*lnIncome + 3*lnTemp + 4*Ocean. What is the estimated price elasticity of demand?
A. | -.4.68.
| |
B. | -3.13. | |
C. | -2.76. | |
D. | -2.15. | |
E. | -1.13. |
QUESTION 4
Refer to the output for Equation (3) Cans = + 1*Price + 2*Income + 3*Temp + 4*Population.What is the estimated coefficient for Price?
A. | -.278.07.
| |
B. | -223.15. | |
C. | -194.34. | |
D. | -182.65. | |
E. | -118.28. |
QUESTION 5
Refer to the output for Equation (3) Cans = + 1*Price + 2*Income + 3*Temp + 4*Population. At what level is the coefficient for Population statistically significant?
A. | .01 level.
| |
B. | .05 level. | |
C. | .10 level. | |
D. | Not statistically significant at any of the above levels. |
QUESTION 6
Refer to the output for Equation (4b) lnCans = ln + 1*lnPrice + 2*lnIncome + 3*lnTemp + 4*lnPopulation. At what level is the coefficient for Population statistically significant? Write your answer in 1a above.
A. | .01 level.
| |
B. | .05 level. | |
C. | .10 level. | |
D. | Not statistically significant at any of the above levels. |
QUESTION 7
Refer to the output for Equation (4b) lnCans = ln + 1*lnPrice + 2*lnIncome + 3*lnTemp + 4*lnPopulation. If there is a 1% increase in Price, by what percentage will Cans decrease?
A. | 3.32.
| |
B. | .2.98. | |
C. | .2.13. | |
D. | 1.46. |
QUESTION 8
Refer to the output for Equation (5) Cans = + 1*Price + 2*Income + 3*Temp + 4*Population + 5*Ocean. What can we conclude?
A. | Both Population and Ocean are statistically significant at better than the .05 level.
| |
B. | Population is statistically significant at better than the .10 level but Ocean is not statistically significant at the .10 level. | |
C. | Ocean is statistically significant at better than the .05 level but Population is not statistically significant at the .10 level. | |
D. | Population is statistically significant at better than the .01 level but Ocean is not statistically significant at the .10 level. |
QUESTION 9
Refer to the output for Equation (6b) lnCans = ln + 1*lnPrice + 2*lnIncome + 3*lnTemp + 4*lnPopulation + 5*Ocean. What can we conclude?
A. | Both Population and Ocean are statistically significant at better than the .05 level.
| |
B. | Population is statistically significant at better than the .10 level but Ocean is not statistically significant at the .10 level. | |
C. | Ocean is statistically significant at better than the .01 level but Population is not statistically significant at the .10 level. | |
D. | Population is statistically significant at better than the .01 level but Ocean is not statistically significant at the .10 level. | |
E. | NeitherPopulation nor Ocean is statistically significant at better than the .10. |
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