Question: Use Exponential smoothing forecasts with alpha of 0.1, 0.2, ..., 0.9 to predict January 2021 demand. Identify the value of alpha that results in the

  1. Use Exponential smoothing forecasts with alpha of 0.1, 0.2, ..., 0.9 to predict January 2021 demand. Identify the value of alpha that results in the lowest MAD.

  1. Find the monthly seasonal indices for the demand values using Simple Average (SA) method. Find the de-seasonalized demand values by dividing monthly demand by seasonal indices.

  1. Use regression to perform trend analysis on the de-seasonalized demand values. Is trend analysis suitable for this data? Find MAD, the seasonally adjusted trend forecasts for January through March 2021 and explain the Excel Regression output (trend equation, r, r-squared, goodness of model).

Month/Yr. PERIOD PRICE AIP DIFF ADV DEMAND
Jan. 2016 1 5.4 5.9 0.5 5.3 13.9
2 5.5 6.6 1.1 6.8 14.5
3 6.0 6.4 0.4 7.3 14.7
4 6.1 6.1 0.0 7.3 14.9
5 5.9 6.4 0.5 7.2 14.9
6 5.9 6.3 0.4 6.5 14.6
7 5.9 6.0 0.1 6.8 14.1
8 6.8 6.0 -0.8 5.0 12.0
9 6.8 5.8 -1.0 5.8 14.2
10 6.4 6.3 -0.1 5.5 13.9
11 6.5 6.3 -0.2 6.5 13.9
12 6.3 6.2 -0.1 6.3 13.8
Jan. 2017 13 6.1 6.5 0.4 7.0 14.0
14 6.1 6.6 0.5 7.7 14.5
15 6.0 6.3 0.3 6.8 16.0
16 6.4 6.7 0.3 6.8 15.7
17 6.2 6.5 0.3 7.1 15.8
18 6.0 6.8 0.8 7.0 15.2
19 6.1 6.6 0.5 7.2 15.9
20 6.4 6.1 -0.3 7.5 16.2
21 6.0 6.1 0.1 7.8 15.0
22 6.2 6.2 0.0 8.2 16.9
23 6.1 6.0 -0.1 8.3 17.1
24 6.0 6.2 0.2 8.4 16.9
Jan. 2018 25 6.1 6.7 0.6 8.9 17.4
26 5.9 6.9 1.0 9.1 17.7
27 6.0 5.8 -0.2 9.3 17.6
28 6.3 5.8 -0.5 9.4 18.4
29 6.0 6.0 0.0 9.3 18.6
30 5.7 6.7 1.0 9.4 17.4
31 5.6 6.4 0.8 9.5 18.4
32 6.2 7.0 0.8 9.6 17.6
33 6.4 7.2 0.8 9.7 16.7
34 6.5 5.9 -0.6 9.9 18.2
35 6.2 6.0 -0.2 9.8 18.5
36 6.7 6.2 -0.5 9.9 19.1
Jan. 2019 37 6.9 6.0 -0.9 10.1 19.0
38 6.9 6.3 -0.6 10.2 19.0
39 6.7 6.5 -0.2 10.5 19.8
40 7.0 6.0 -1.0 10.3 19.8
41 7.1 6.1 -1.0 9.9 20.0
42 7.2 6.3 -0.9 10.5 20.9
43 7.2 6.4 -0.8 10.6 19.6
44 7.3 6.5 -0.8 10.5 19.5
45 7.2 6.0 -1.2 11.6 18.4
46 7.1 6.2 -0.9 10.1 19.3
47 6.9 5.9 -1.0 10.3 19.3
48 7.2 6.0 -1.2 10.7 19.9
Jan. 2020 49 7.3 6.4 -0.9 10.9 20.0
50 7.4 6.5 -0.9 10.8 20.1
51 7.5 6.5 -1.0 11.1 20.1
52 7.0 6.2 -0.8 11.2 20.2
53 6.8 6.8 0.0 11.6 21.1
54 7.4 6.9 -0.5 11.5 20.6
55 7.3 6.5 -0.8 11.6 20.7
56 7.3 6.9 -0.4 11.9 21.3
57 7.2 7.0 -0.2 11.8 21.4
58 7.5 6.8 -0.7 11.9 21.5
59 7.5 6.8 -0.7 12.0 21.8
60 7.5 6.5 -1.0 11.9 21.5
Jan. 2021 61
Feb. 2021 62
Mar. 2021 63

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