With milk sales sagging of late, The Milk Processor Education Program (MPEP) decided to move on from the famous "Got Milk" ad slogan in favor of a new one, "Milk Life." The new tagline emphasizes milk's nutritional benefits, including its protein content. MPEP began collecting data on the number of gallons of milk households consumed weekly (in millions), weekly price per gallon, and weekly expenditures on milk advertising (in hundreds of dollars) for the period following the launch of the new campaign. These data are available via the link below. Use these data to estimate a linear regression. Linear Model Log-Linear Model Q P A lnQ lnP lnA 4.76 2.46 472.68 1.56 0.90 6.16 0.90 4.28 326.41 -0.10 1.45 5.79 1.74 3.72 357.36 0.55 1.31 5.88 0.96 4.20 475.82 -0.04 1.43 6.17 2.38 4.14 494.25 0.87 1.42 6.20 1.28 4.59 458.62 0.25 1.52 6.13 2.86 3.30 421.67 1.05 1.19 6.04 1.87 4.34 534.85 0.63 1.47 6.28 2.19 3.31 524.75 0.78 1.20 6.26 1.38 3.35 370.35 0.32 1.21 5.91 0.21 4.53 420.16 -1.54 1.51 6.04 3.55 2.63 333.79 1.27 0.97 5.81 2.44 4.40 437.32 0.89 1.48 6.08 1.94 4.36 442.70 0.66 1.47 6.09 2.50 3.24 375.67 0.91 1.18 5.93 2.92 3.45 546.36 1.07 1.24 6.30 4.94 2.97 391.17 1.60 1.09 5.97 2.14 3.22 498.00 0.76 1.17 6.21 3.89 3.34 530.17 1.36 1.20 6.27 6.91 2.24 527.36 1.93 0.81 6.27 3.41 4.04 440.93 1.23 1.40 6.09 1.16 4.10 480.35 0.15 1.41 6.17 1.60 3.99 404.91 0.47 1.38 6.00 4.09 3.22 512.00 1.41 1.17 6.24 2.69 2.98 346.29 0.99 1.09 5.85 2.41 4.30 383.47 0.88 1.46 5.95 2.25 2.84 434.26 0.81 1.04 6.07 2.48 3.96 548.37 0.91 1.38 6.31 3.79 2.49 357.71 1.33 0.91 5.88 3.33 3.29 445.73 1.20 1.19 6.10 2.61 4.02 524.55 0.96 1.39 6.26 2.40 4.05 487.87 0.88 1.40 6.19 3.92 2.46 343.13 1.37 0.90 5.84 3.42 3.45 353.81 1.23 1.24 5.87 0.80 3.40 334.47 -0.23 1.22 5.81 5.79 2.95 330.57 1.76 1.08 5.80 3.58 2.69 363.91 1.28 0.99 5.90 1.58 3.79 383.71 0.46 1.33 5.95 1.14 3.37 430.37 0.13 1.21 6.06 1.04 4.64 501.84 0.04 1.54 6.22 4.88 2.66 447.12 1.59 0.98 6.10 4.31 2.25 404.38 1.46 0.81 6.00 2.23 3.94 449.29 0.80 1.37 6.11 1.38 4.42 327.99 0.32 1.49 5.79 1.62 3.13 332.39 0.49 1.14 5.81 1.38 4.45 450.16 0.33 1.49 6.11 6.20 2.38 467.40 1.82 0.87 6.15 4.17 3.69 528.60 1.43 1.31 6.27 4.08 4.02 533.73 1.41 1.39 6.28 0.08 4.30 355.81 -2.55 1.46 5.87 3.82 2.80 462.42 1.34 1.03 6.14 1.17 4.51 549.78 0.16 1.51 6.31 3.26 2.42 366.63 1.18 0.88 5.90 2.44 4.37 429.74 0.89 1.47 6.06 4.16 2.53 399.57 1.42 0.93 5.99 2.63 3.63 521.95 0.97 1.29 6.26 4.94 2.80 356.59 1.60 1.03 5.88 1.84 4.36 416.24 0.61 1.47 6.03 4.71 3.12 435.99 1.55 1.14 6.08 6.46 2.40 464.62 1.87 0.87 6.14 2.79 3.51 353.37 1.03 1.25 5.87 4.09 3.07 425.12 1.41 1.12 6.05 4.76 2.32 481.72 1.56 0.84 6.18 3.05 3.45 376.30 1.12 1.24 5.93 0.87 4.44 536.86 -0.13 1.49 6.29 3.12 2.50 493.52 1.14 0.92 6.20 1.34 3.11 454.69 0.29 1.13 6.12 1.93 3.24 487.07 0.66 1.17 6.19 1.64 2.87 461.69 0.50 1.05 6.13 4.39 2.97 410.84 1.48 1.09 6.02 5.76 2.33 480.66 1.75 0.84 6.18 4.40 2.82 381.62 1.48 1.04 5.94 6.22 3.14 456.97 1.83 1.14 6.12 1.10 3.89 461.39 0.09 1.36 6.13 4.12 2.67 430.43 1.42 0.98 6.06 5.40 2.73 438.53 1.69 1.01 6.08 2.75 4.52 336.00 1.01 1.51 5.82 5.12 2.28 519.90 1.63 0.83 6.25 3.94 3.25 536.25 1.37 1.18 6.28 5.69 2.18 439.75 1.74 0.78 6.09 0.44 4.27 352.57 -0.82 1.45 5.87 1.89 3.62 397.69 0.64 1.29 5.99 4.02 3.32 345.17 1.39 1.20 5.84 3.70 3.43 507.56 1.31 1.23 6.23 3.26 2.43 330.67 1.18 0.89 5.80 2.98 2.97 433.20 1.09 1.09 6.07 2.09 4.32 462.14 0.74 1.46 6.14 5.68 2.25 515.33 1.74 0.81 6.24 4.33 2.65 508.14 1.47 0.98 6.23 4.97 3.63 510.41 1.60 1.29 6.24 2.89 3.60 343.16 1.06 1.28 5.84 2.25 3.37 365.82 0.81 1.22 5.90 0.17 3.77 425.56 -1.79 1.33 6.05 3.96 2.87 347.36 1.38 1.06 5.85 4.08 2.97 326.06 1.40 1.09 5.79 3.49 3.94 527.12 1.25 1.37 6.27 4.21 4.10 475.28 1.44 1.41 6.16 2.25 4.09 475.69 0.81 1.41 6.16 2.40 3.93 536.42 0.88 1.37 6.28 1.61 4.10 325.89 0.48 1.41 5.79 Suppose that the weekly price of milk is $3.40 per gallon and MPEP decides to ramp up weekly advertising by 35 percent to $150 (in hundreds). Use your regression model to estimate the weekly quantity of milk consumed after this advertising increase. _____ million gallons per week

Managerial Economics: Applications, Strategies and Tactics (MindTap Course List)
14th Edition
ISBN:9781305506381
Author:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
Publisher:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
Chapter4: Estimating Demand
Section: Chapter Questions
Problem 1.2CE: Interpret the coefficients and calculate the price elasticity of soft drink demand.
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With milk sales sagging of late, The Milk Processor Education Program (MPEP) decided to move on from the famous "Got Milk" ad slogan in favor of a new one, "Milk Life." The new tagline emphasizes milk's nutritional benefits, including its protein content. MPEP began collecting data on the number of gallons of milk households consumed weekly (in millions), weekly price per gallon, and weekly expenditures on milk advertising (in hundreds of dollars) for the period following the launch of the new campaign. These data are available via the link below. Use these data to estimate a linear regression. 

Linear Model   Log-Linear Model
Q P A   lnQ lnP lnA
4.76 2.46 472.68   1.56 0.90 6.16
0.90 4.28 326.41   -0.10 1.45 5.79
1.74 3.72 357.36   0.55 1.31 5.88
0.96 4.20 475.82   -0.04 1.43 6.17
2.38 4.14 494.25   0.87 1.42 6.20
1.28 4.59 458.62   0.25 1.52 6.13
2.86 3.30 421.67   1.05 1.19 6.04
1.87 4.34 534.85   0.63 1.47 6.28
2.19 3.31 524.75   0.78 1.20 6.26
1.38 3.35 370.35   0.32 1.21 5.91
0.21 4.53 420.16   -1.54 1.51 6.04
3.55 2.63 333.79   1.27 0.97 5.81
2.44 4.40 437.32   0.89 1.48 6.08
1.94 4.36 442.70   0.66 1.47 6.09
2.50 3.24 375.67   0.91 1.18 5.93
2.92 3.45 546.36   1.07 1.24 6.30
4.94 2.97 391.17   1.60 1.09 5.97
2.14 3.22 498.00   0.76 1.17 6.21
3.89 3.34 530.17   1.36 1.20 6.27
6.91 2.24 527.36   1.93 0.81 6.27
3.41 4.04 440.93   1.23 1.40 6.09
1.16 4.10 480.35   0.15 1.41 6.17
1.60 3.99 404.91   0.47 1.38 6.00
4.09 3.22 512.00   1.41 1.17 6.24
2.69 2.98 346.29   0.99 1.09 5.85
2.41 4.30 383.47   0.88 1.46 5.95
2.25 2.84 434.26   0.81 1.04 6.07
2.48 3.96 548.37   0.91 1.38 6.31
3.79 2.49 357.71   1.33 0.91 5.88
3.33 3.29 445.73   1.20 1.19 6.10
2.61 4.02 524.55   0.96 1.39 6.26
2.40 4.05 487.87   0.88 1.40 6.19
3.92 2.46 343.13   1.37 0.90 5.84
3.42 3.45 353.81   1.23 1.24 5.87
0.80 3.40 334.47   -0.23 1.22 5.81
5.79 2.95 330.57   1.76 1.08 5.80
3.58 2.69 363.91   1.28 0.99 5.90
1.58 3.79 383.71   0.46 1.33 5.95
1.14 3.37 430.37   0.13 1.21 6.06
1.04 4.64 501.84   0.04 1.54 6.22
4.88 2.66 447.12   1.59 0.98 6.10
4.31 2.25 404.38   1.46 0.81 6.00
2.23 3.94 449.29   0.80 1.37 6.11
1.38 4.42 327.99   0.32 1.49 5.79
1.62 3.13 332.39   0.49 1.14 5.81
1.38 4.45 450.16   0.33 1.49 6.11
6.20 2.38 467.40   1.82 0.87 6.15
4.17 3.69 528.60   1.43 1.31 6.27
4.08 4.02 533.73   1.41 1.39 6.28
0.08 4.30 355.81   -2.55 1.46 5.87
3.82 2.80 462.42   1.34 1.03 6.14
1.17 4.51 549.78   0.16 1.51 6.31
3.26 2.42 366.63   1.18 0.88 5.90
2.44 4.37 429.74   0.89 1.47 6.06
4.16 2.53 399.57   1.42 0.93 5.99
2.63 3.63 521.95   0.97 1.29 6.26
4.94 2.80 356.59   1.60 1.03 5.88
1.84 4.36 416.24   0.61 1.47 6.03
4.71 3.12 435.99   1.55 1.14 6.08
6.46 2.40 464.62   1.87 0.87 6.14
2.79 3.51 353.37   1.03 1.25 5.87
4.09 3.07 425.12   1.41 1.12 6.05
4.76 2.32 481.72   1.56 0.84 6.18
3.05 3.45 376.30   1.12 1.24 5.93
0.87 4.44 536.86   -0.13 1.49 6.29
3.12 2.50 493.52   1.14 0.92 6.20
1.34 3.11 454.69   0.29 1.13 6.12
1.93 3.24 487.07   0.66 1.17 6.19
1.64 2.87 461.69   0.50 1.05 6.13
4.39 2.97 410.84   1.48 1.09 6.02
5.76 2.33 480.66   1.75 0.84 6.18
4.40 2.82 381.62   1.48 1.04 5.94
6.22 3.14 456.97   1.83 1.14 6.12
1.10 3.89 461.39   0.09 1.36 6.13
4.12 2.67 430.43   1.42 0.98 6.06
5.40 2.73 438.53   1.69 1.01 6.08
2.75 4.52 336.00   1.01 1.51 5.82
5.12 2.28 519.90   1.63 0.83 6.25
3.94 3.25 536.25   1.37 1.18 6.28
5.69 2.18 439.75   1.74 0.78 6.09
0.44 4.27 352.57   -0.82 1.45 5.87
1.89 3.62 397.69   0.64 1.29 5.99
4.02 3.32 345.17   1.39 1.20 5.84
3.70 3.43 507.56   1.31 1.23 6.23
3.26 2.43 330.67   1.18 0.89 5.80
2.98 2.97 433.20   1.09 1.09 6.07
2.09 4.32 462.14   0.74 1.46 6.14
5.68 2.25 515.33   1.74 0.81 6.24
4.33 2.65 508.14   1.47 0.98 6.23
4.97 3.63 510.41   1.60 1.29 6.24
2.89 3.60 343.16   1.06 1.28 5.84
2.25 3.37 365.82   0.81 1.22 5.90
0.17 3.77 425.56   -1.79 1.33 6.05
3.96 2.87 347.36   1.38 1.06 5.85
4.08 2.97 326.06   1.40 1.09 5.79
3.49 3.94 527.12   1.25 1.37 6.27
4.21 4.10 475.28   1.44 1.41 6.16
2.25 4.09 475.69   0.81 1.41 6.16
2.40 3.93 536.42   0.88 1.37 6.28
1.61 4.10 325.89   0.48 1.41 5.79
             
             

Suppose that the weekly price of milk is $3.40 per gallon and MPEP decides to ramp up weekly advertising by 35 percent to $150 (in hundreds). Use your regression model to estimate the weekly quantity of milk consumed after this advertising increase.

_____ million gallons per week

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