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TREND ANALYSIS — LINEAR
REGRESSION |
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OLS regression on
deseasonalized demand to isolate trend component |
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REGRESSION OUTPUT |
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Intercept (a) |
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5,081.42 |
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Slope (b) per Period |
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30.17 |
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R-Squared |
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0.9982 |
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Adjusted R-Squared |
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0.9981 |
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Standard Error |
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13.82 |
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F-Statistic |
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18,500.13 |
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Monthly Trend
Growth Rate |
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0.59% |
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Annualized Growth
Rate |
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7.36% |
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TREND-FITTED VALUES & FORECAST |
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Period |
Month |
Actual Demand |
Deseas. Demand |
Trend (Fitted) |
Residual |
% Error |
Abs % Error |
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1 |
Jan |
4,200 |
5,105 |
5,112 |
-6 |
-0.1% |
0.1% |
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2 |
Feb |
4,350 |
5,149 |
5,142 |
8 |
0.1% |
0.1% |
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3 |
Mar |
4,800 |
5,197 |
5,172 |
25 |
0.5% |
0.5% |
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4 |
Apr |
5,400 |
5,232 |
5,202 |
29 |
0.6% |
0.6% |
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5 |
May |
5,800 |
5,230 |
5,232 |
-3 |
0.0% |
0.0% |
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6 |
Jun |
6,100 |
5,266 |
5,262 |
3 |
0.1% |
0.1% |
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7 |
Jul |
5,500 |
5,305 |
5,293 |
12 |
0.2% |
0.2% |
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8 |
Aug |
5,200 |
5,320 |
5,323 |
-3 |
-0.1% |
0.1% |
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9 |
Sep |
4,900 |
5,335 |
5,353 |
-18 |
-0.3% |
0.3% |
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10 |
Oct |
5,100 |
5,369 |
5,383 |
-14 |
-0.3% |
0.3% |
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11 |
Nov |
5,600 |
5,415 |
5,413 |
2 |
0.0% |
0.0% |
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12 |
Dec |
6,500 |
5,451 |
5,443 |
7 |
0.1% |
0.1% |
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13 |
Jan |
4,500 |
5,470 |
5,474 |
-4 |
-0.1% |
0.1% |
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14 |
Feb |
4,650 |
5,505 |
5,504 |
1 |
0.0% |
0.0% |
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15 |
Mar |
5,100 |
5,522 |
5,534 |
-12 |
-0.2% |
0.2% |
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16 |
Apr |
5,750 |
5,571 |
5,564 |
6 |
0.1% |
0.1% |
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17 |
May |
6,200 |
5,590 |
5,594 |
-4 |
-0.1% |
0.1% |
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18 |
Jun |
6,500 |
5,611 |
5,624 |
-13 |
-0.2% |
0.2% |
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19 |
Jul |
5,850 |
5,643 |
5,655 |
-12 |
-0.2% |
0.2% |
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20 |
Aug |
5,550 |
5,678 |
5,685 |
-7 |
-0.1% |
0.1% |
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21 |
Sep |
5,250 |
5,716 |
5,715 |
1 |
0.0% |
0.0% |
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22 |
Oct |
5,450 |
5,738 |
5,745 |
-8 |
-0.1% |
0.1% |
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23 |
Nov |
5,950 |
5,753 |
5,775 |
-22 |
-0.4% |
0.4% |
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24 |
Dec |
6,900 |
5,786 |
5,805 |
-19 |
-0.3% |
0.3% |
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25 |
Jan |
4,800 |
5,834 |
5,836 |
-1 |
0.0% |
0.0% |
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26 |
Feb |
4,950 |
5,860 |
5,866 |
-6 |
-0.1% |
0.1% |
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27 |
Mar |
5,450 |
5,901 |
5,896 |
5 |
0.1% |
0.1% |
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28 |
Apr |
6,100 |
5,910 |
5,926 |
-16 |
-0.3% |
0.3% |
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29 |
May |
6,600 |
5,951 |
5,956 |
-5 |
-0.1% |
0.1% |
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30 |
Jun |
6,950 |
6,000 |
5,986 |
13 |
0.2% |
0.2% |
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31 |
Jul |
6,250 |
6,028 |
6,017 |
12 |
0.2% |
0.2% |
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32 |
Aug |
5,900 |
6,036 |
6,047 |
-11 |
-0.2% |
0.2% |
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33 |
Sep |
5,600 |
6,097 |
6,077 |
20 |
0.3% |
0.3% |
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34 |
Oct |
5,800 |
6,106 |
6,107 |
-1 |
0.0% |
0.0% |
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35 |
Nov |
6,350 |
6,140 |
6,137 |
3 |
0.0% |
0.0% |
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36 |
Dec |
7,400 |
6,205 |
6,167 |
38 |
0.6% |
0.6% |
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37 |
Jan |
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6,198 |
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38 |
Feb |
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6,228 |
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39 |
Mar |
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6,258 |
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40 |
Apr |
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6,288 |
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41 |
May |
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6,318 |
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42 |
Jun |
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6,348 |
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43 |
Jul |
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6,379 |
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44 |
Aug |
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6,409 |
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45 |
Sep |
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6,439 |
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46 |
Oct |
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6,469 |
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47 |
Nov |
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6,499 |
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48 |
Dec |
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6,530 |
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TREND MODEL ACCURACY |
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Mean Absolute
Error (MAE) |
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10 |
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MAPE |
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0.2% |
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RMSE |
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13 |
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Bias (Mean Error) |
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0 |
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NOTES |
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1. Linear regression on
deseasonalized demand (Y = a + bX). Forecast periods 37-48 extend the trend. |
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2. R-Squared indicates %
of variance explained. Re-seasonalize in Forecast Comparison sheet. |
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