In sheet Figure 7-4, the Deseasonalized Demand column has been hard coded with the values of the
Question:
In sheet "Figure 7-4", the "Deseasonalized Demand" column has been hard coded with the values of the Trend and Level from "Regression-1". Please add another column and recalculate the "Deseasonalized Demand" by pulling up values from the cells corresponding to Trend and Level from the "Regression-1" sheet. Hence this column should no longer be hard coded.
2. In sheet "Figure 7-4", please calculate the "Absolute Error" , "Mean Squared Error (MSE)", "Mean absolute deviation (MAD)", "% Error" ,"Mean absolute percentage error (MAPE)" and "Tracking signal (TS)".
3. For the winter's method covered in class, Please refer sheet "Figure 7-10" of Tahoe salt case while answering the question. Please explain in detail how the forecast for periods 13, 14, 15 and 16 are calculated.
Figure 7.4
A | B | C | D | E | F | G | ||||
1 | Period t | Demand Dt |
|
|
| Forecast | Error | |||
2 | 1 | 8,000 | 18,963 | 0.42 | 0.47 | 8,913 | 913 | |||
3 | 2 | 13,000 | 19,487 | 0.67 | 0.68 | 13,251 | 251 | |||
4 | 3 | 23,000 | 20,011 | 1.15 | 1.17 | 23,413 | 413 | |||
5 | 4 | 34,000 | 20,535 | 1.66 | 1.67 | 34,293 | 293 | |||
6 | 5 | 10,000 | 21,059 | 0.47 | 9,898 | -102 | ||||
7 | 6 | 18,000 | 21,583 | 0.83 | 14,676 | -3,324 | ||||
8 | 7 | 23,000 | 22,107 | 1.04 | 25,865 | 2,865 | ||||
9 | 8 | 38,000 | 22,631 | 1.68 | 37,794 | -206 | ||||
10 | 9 | 12,000 | 23,155 | 0.52 | 10,883 | -1,117 | ||||
11 | 10 | 13,000 | 23,679 | 0.55 | 16,102 | 3,102 | ||||
12 | 11 | 32,000 | 24,203 | 1.32 | 28,318 | -3,682 | ||||
13 | 12 | 41,000 | 24,727 | 1.66 | 41,294 | 294 |
Figure 7.10
A | B | C | D | E | F | G | H | I | J | K | L | M | |
1 | Period t | Demand Dt | Level Lt | Trend Tt | Seasonal Factor St | Forecast Ft | Error Et | Absolute Error At | Mean Squared Error MSEt | MADt | % Error | MAPEt | TSt |
2 | 18,439 | 524 | |||||||||||
3 | 1 | 8,000 | 18,866 | 514 | 0.47 | 8,913 | 913 | 913 | 832,857 | 913 | 11 | 11.41 | 1.00 |
4 | 2 | 13,000 | 19,367 | 513 | 0.68 | 13,179 | 179 | 179 | 432,367 | 546 | 1 | 6.39 | 2.00 |
5 | 3 | 23,000 | 19,869 | 512 | 1.17 | 23,260 | 260 | 260 | 310,720 | 450 | 1 | 4.64 | 3.00 |
6 | 4 | 34,000 | 20,380 | 512 | 1.67 | 34,036 | 36 | 36 | 233,364 | 347 | 0 | 3.50 | 4.00 |
7 | 5 | 10,000 | 20,921 | 515 | 0.47 | 9,723 | -277 | 277 | 202,036 | 333 | 3 | 3.36 | 3.34 |
8 | 6 | 18,000 | 21,689 | 540 | 0.68 | 14,558 | -3,442 | 3,442 | 2,143,255 | 851 | 19 | 5.98 | -2.74 |
9 | 7 | 23,000 | 22,102 | 527 | 1.17 | 25,981 | 2,981 | 2,981 | 3,106,508 | 1,155 | 13 | 6.98 | 0.56 |
10 | 8 | 38,000 | 22,636 | 528 | 1.67 | 37,787 | -213 | 213 | 2,723,856 | 1,037 | 1 | 6.18 | 0.42 |
11 | 9 | 12,000 | 23,291 | 541 | 0.47 | 10,810 | -1,190 | 1,190 | 2,578,653 | 1,054 | 10 | 6.59 | -0.72 |
12 | 10 | 13,000 | 23,577 | 515 | 0.69 | 16,544 | 3,544 | 3,544 | 3,576,894 | 1,303 | 27 | 8.66 | 2.14 |
13 | 11 | 32,000 | 24,271 | 533 | 1.16 | 27,849 | -4,151 | 4,151 | 4,818,258 | 1,562 | 13 | 9.05 | -0.87 |
14 | 12 | 41,000 | 24,791 | 532 | 1.67 | 41,442 | 442 | 442 | 4,432,987 | 1,469 | 1 | 8.39 | -0.63 |
15 | 13 | 0.47 | 11,940 | ||||||||||
16 | 14 | 0.68 | 17,579 | ||||||||||
17 | 15 | 1.17 | 30,930 | ||||||||||
18 | 16 | 1.67 | 44,928 | ||||||||||
19 | |||||||||||||
20 | α | 0.05 | |||||||||||
21 | β | 0.1 | |||||||||||
22 | γ | 0.1 |
Regression-1 Sheet
Intercept | 18,439 |
X Variable 1 | 524 |
Managerial Economics
ISBN: 978-0133020267
7th edition
Authors: Paul Keat, Philip K Young, Steve Erfle