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MOVING AVERAGES ANALYSIS |
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Simple, Weighted, and
Naive Moving Averages with forecast error metrics |
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PARAMETERS (from Assumptions) |
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SMA Window |
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3 |
months |
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WMA Window |
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3 |
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MOVING AVERAGE CALCULATIONS |
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Period |
Month |
Actual |
SMA Forecast |
SMA Error |
SMA |Error| |
WMA Forecast |
WMA Error |
WMA |Error| |
Naive Fcst |
Naive Error |
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1 |
Jan |
4,200 |
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2 |
Feb |
4,350 |
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4,200 |
150 |
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3 |
Mar |
4,800 |
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4,350 |
450 |
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4 |
Apr |
5,400 |
4,450 |
950 |
950 |
4,550 |
850 |
850 |
4,800 |
600 |
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5 |
May |
5,800 |
4,850 |
950 |
950 |
5,025 |
775 |
775 |
5,400 |
400 |
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6 |
Jun |
6,100 |
5,333 |
767 |
767 |
5,500 |
600 |
600 |
5,800 |
300 |
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7 |
Jul |
5,500 |
5,767 |
-267 |
267 |
5,883 |
-383 |
383 |
6,100 |
-600 |
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8 |
Aug |
5,200 |
5,800 |
-600 |
600 |
5,750 |
-550 |
550 |
5,500 |
-300 |
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9 |
Sep |
4,900 |
5,600 |
-700 |
700 |
5,450 |
-550 |
550 |
5,200 |
-300 |
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10 |
Oct |
5,100 |
5,200 |
-100 |
100 |
5,100 |
0 |
0 |
4,900 |
200 |
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11 |
Nov |
5,600 |
5,067 |
533 |
533 |
5,050 |
550 |
550 |
5,100 |
500 |
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12 |
Dec |
6,500 |
5,200 |
1,300 |
1,300 |
5,317 |
1,183 |
1,183 |
5,600 |
900 |
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13 |
Jan |
4,500 |
5,733 |
-1,233 |
1,233 |
5,967 |
-1,467 |
1,467 |
6,500 |
-2,000 |
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14 |
Feb |
4,650 |
5,533 |
-883 |
883 |
5,350 |
-700 |
700 |
4,500 |
150 |
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15 |
Mar |
5,100 |
5,217 |
-117 |
117 |
4,908 |
192 |
192 |
4,650 |
450 |
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16 |
Apr |
5,750 |
4,750 |
1,000 |
1,000 |
4,850 |
900 |
900 |
5,100 |
650 |
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17 |
May |
6,200 |
5,167 |
1,033 |
1,033 |
5,350 |
850 |
850 |
5,750 |
450 |
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18 |
Jun |
6,500 |
5,683 |
817 |
817 |
5,867 |
633 |
633 |
6,200 |
300 |
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19 |
Jul |
5,850 |
6,150 |
-300 |
300 |
6,275 |
-425 |
425 |
6,500 |
-650 |
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20 |
Aug |
5,550 |
6,183 |
-633 |
633 |
6,125 |
-575 |
575 |
5,850 |
-300 |
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21 |
Sep |
5,250 |
5,967 |
-717 |
717 |
5,808 |
-558 |
558 |
5,550 |
-300 |
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22 |
Oct |
5,450 |
5,550 |
-100 |
100 |
5,450 |
0 |
0 |
5,250 |
200 |
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23 |
Nov |
5,950 |
5,417 |
533 |
533 |
5,400 |
550 |
550 |
5,450 |
500 |
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24 |
Dec |
6,900 |
5,550 |
1,350 |
1,350 |
5,667 |
1,233 |
1,233 |
5,950 |
950 |
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25 |
Jan |
4,800 |
6,100 |
-1,300 |
1,300 |
6,342 |
-1,542 |
1,542 |
6,900 |
-2,100 |
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26 |
Feb |
4,950 |
5,883 |
-933 |
933 |
5,692 |
-742 |
742 |
4,800 |
150 |
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27 |
Mar |
5,450 |
5,550 |
-100 |
100 |
5,225 |
225 |
225 |
4,950 |
500 |
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28 |
Apr |
6,100 |
5,067 |
1,033 |
1,033 |
5,175 |
925 |
925 |
5,450 |
650 |
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29 |
May |
6,600 |
5,500 |
1,100 |
1,100 |
5,692 |
908 |
908 |
6,100 |
500 |
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30 |
Jun |
6,950 |
6,050 |
900 |
900 |
6,242 |
708 |
708 |
6,600 |
350 |
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31 |
Jul |
6,250 |
6,550 |
-300 |
300 |
6,692 |
-442 |
442 |
6,950 |
-700 |
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32 |
Aug |
5,900 |
6,600 |
-700 |
700 |
6,542 |
-642 |
642 |
6,250 |
-350 |
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33 |
Sep |
5,600 |
6,367 |
-767 |
767 |
6,192 |
-592 |
592 |
5,900 |
-300 |
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34 |
Oct |
5,800 |
5,917 |
-117 |
117 |
5,808 |
-8 |
8 |
5,600 |
200 |
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35 |
Nov |
6,350 |
5,767 |
583 |
583 |
5,750 |
600 |
600 |
5,800 |
550 |
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36 |
Dec |
7,400 |
5,917 |
1,483 |
1,483 |
6,042 |
1,358 |
1,358 |
6,350 |
1,050 |
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ACCURACY COMPARISON |
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Metric |
SMA |
WMA |
Naive |
Best |
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MAE |
733 |
673 |
543 |
Naive |
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MAPE |
12.7% |
11.7% |
9.5% |
Naive |
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RMSE |
832 |
773 |
694 |
Naive |
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Bias |
135 |
117 |
91 |
Naive |
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NOTES |
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1. SMA: Equal weight to
last 3 obs. WMA: Weights 3:2:1 for most recent. Naive: Last period. |
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2. Adjust window sizes in
Assumptions sheet to optimize accuracy. |
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