Question
With milk sales sagging of late, The Milk Processor Education... With milk sales sagging of late, The Milk Processor Education Program (MPEP) decided to move
With milk sales sagging of late, The Milk Processor Education...
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.
Suppose that the weekly price of milk is $3.40 per gallon andMPEP decides to ramp upweekly advertisingby 35 percentto $150 (in hundreds). Use your regression model to estimate the weekly quantity of milk consumed after this advertising increase.
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 |
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