Question

In: Statistics and Probability

Sales of tablet computers at Ted​ Glickman's electronics store in​ Washington, D.C., over the past 10...

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

Solutions

Expert Solution

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


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