Ch 04 HW 3 Forecasting problem Method: Weighted Moving Average with n = 3 and weights 0.2, 0.3, and 0.5 The data for this problem is shown in the table below. Note: changes from the original problem data are highlighted in yellow. Time (t) Actual A(t) 1 950 2 930 3 940 4 955 5 972 6 926 7 834 8 840 9 828 10 813 11 don't have yet What is the value for MAD using this method?
Actual | Weighted | |
1 | 950 | |
2 | 930 | |
3 | 940 | |
4 | 955 | 939 |
5 | 972 | 945.5 |
6 | 926 | 960.5 |
7 | 834 | 945.6 |
8 | 840 | 889.2 |
9 | 828 | 855.4 |
10 | 813 | 832.8 |
11 | 822.9 |
period | demand | forcast | forecast error=demand value-forecast value | absolute forecast error |
t | Dt | Ft | et=Dt-Ft | | et | |
1 | 950 | |||
2 | 930 | |||
3 | 940 | |||
4 | 955 | 939.000 | 16.00 | 16.00 |
5 | 972 | 945.500 | 26.50 | 26.50 |
6 | 926 | 960.500 | -34.50 | 34.50 |
7 | 834 | 945.600 | -111.60 | 111.60 |
8 | 840 | 889.200 | -49.20 | 49.20 |
9 | 828 | 855.400 | -27.40 | 27.40 |
10 | 813 | 832.800 | -19.80 | 19.80 |
11 | 822.900 |
forecast error=demand value-forecast value | absolute forecast error | |
et=Dt-Ft | | et | | |
total sum= | -200.00 | 285.00 |
n= | 7 | 7 |
average= | -28.57 | 40.71 |
MAD= Σ |et|/n =
40.71
THANKS
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