In: Statistics and Probability
Sales of tablet computers at Ted Glickman's electronics store in Washington, D.C., over the past 10 weeks are shown in the table below: Week 1 2 3 4 5 6 7 8 9 10 Demand 21 21 28 36 26 29 35 20 25 30 a)
The forecast for weeks 2 through 10 using exponential smoothing with alpha = 0.55 and a week 1 initial forecast of 21.0 are (round your responses to two decimal places): Week 1 2 3 4 5 6 7 8 9 10
Demand 21 21 28 36 26 29 35 20 25 30
Forecast 21.0 21 21 24.85 30.98 28.24 28.65 32.14 25.46 25.20
b) For the forecast developed using exponential smoothing (alpha = 0.55 and initial forecast 21.0), the MAD = nothing sales (round your response to two decimal places).
C. Tracking signal
Week | Demand | Forecast | Abs Deviation | Deviation |
1 | 21 | 21 | 0 | 0 |
2 | 21 | 21 | 0 | 0 |
3 | 28 | 21 | 7 | 7 |
4 | 36 | 24.85 | 11.15 | 11.15 |
5 | 26 | 30.98 | 4.98 | -4.9825 |
6 | 29 | 28.24 | 0.76 | 0.757875 |
7 | 35 | 28.66 | 6.34 | 6.341044 |
8 | 20 | 32.15 | 12.15 | -12.1465 |
9 | 25 | 25.47 | 0.47 | -0.46594 |
10 | 30 | 25.21 | 4.79 | 4.790328 |
SUM | 47.63 | 12.44 |
MAD = 47.63 / 10 = 4.763
Tracking Signal = 12.44 / 4.763 = 2.61