Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.330867342573275 |
beta | 0.359136037376688 |
gamma | 0.524181187375416 |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
5 | 2452.02 | 2391.07804161501 | 60.9419583849926 |
6 | 2537.49 | 2496.0581450892 | 41.4318549108043 |
7 | 2726.36 | 2716.92558257069 | 9.43441742930736 |
8 | 2843.85 | 2792.69093974792 | 51.1590602520773 |
9 | 2615.11 | 2653.93763442137 | -38.8276344213741 |
10 | 2778.08 | 2729.0752954683 | 49.0047045317037 |
11 | 2918.75 | 2962.36756643977 | -43.6175664397738 |
12 | 3023.41 | 3040.11611232451 | -16.7061123245089 |
13 | 2733.07 | 2824.18556561934 | -91.1155656193368 |
14 | 2933.31 | 2905.05811009651 | 28.2518899034867 |
15 | 3089.19 | 3090.66209310472 | -1.47209310472044 |
16 | 3256.6 | 3183.95303609765 | 72.6469639023503 |
17 | 2968.74 | 2954.53989593296 | 14.200104067037 |
18 | 3101.7 | 3133.41891249195 | -31.7189124919514 |
19 | 3277.21 | 3303.32968123795 | -26.1196812379499 |
20 | 3420.1 | 3422.68022766252 | -2.58022766252179 |
21 | 3097.55 | 3124.08616211536 | -26.5361621153643 |
22 | 3286.21 | 3268.53928876098 | 17.6707112390168 |
23 | 3491.96 | 3459.09131484265 | 32.8686851573534 |
24 | 3608.53 | 3613.67593708215 | -5.14593708214807 |
25 | 3259.04 | 3288.29009961517 | -29.2500996151743 |
26 | 3492.27 | 3456.13244325587 | 36.1375567441328 |
27 | 3665.64 | 3670.43383661941 | -4.79383661940665 |
28 | 3808.02 | 3803.10214985881 | 4.91785014118614 |
29 | 3397.47 | 3452.947063441 | -55.4770634410024 |
30 | 3644.83 | 3640.44551806515 | 4.38448193484783 |
31 | 3812.8 | 3829.6977469178 | -16.8977469177985 |
32 | 3958.78 | 3957.28045506494 | 1.49954493505902 |
33 | 3602.73 | 3560.38611627206 | 42.3438837279368 |
34 | 3845.49 | 3814.03806899856 | 31.4519310014402 |
35 | 4022.27 | 4019.21487464915 | 3.05512535085018 |
36 | 4195.29 | 4175.26520005097 | 20.0247999490321 |
37 | 3867.28 | 3786.1294390637 | 81.1505609363007 |
38 | 4142.62 | 4077.23082796427 | 65.3891720357319 |
39 | 4217.79 | 4314.22499406687 | -96.4349940668726 |
40 | 4487.61 | 4460.11438892971 | 27.4956110702897 |
41 | 4089.69 | 4075.91281726446 | 13.7771827355423 |
42 | 4431.36 | 4352.87949226002 | 78.4805077399787 |
43 | 4629.82 | 4545.77311067926 | 84.0468893207426 |
44 | 4832.81 | 4832.44742414827 | 0.362575851733709 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
45 | 4418.32782471576 | 4360.91508622911 | 4475.74056320241 |
46 | 4751.4700186053 | 4681.47868994795 | 4821.46134726265 |
47 | 4937.71509287397 | 4851.30456175135 | 5024.12562399659 |
48 | 5177.6909730798 | 5086.99861908503 | 5268.38332707457 |
49 | 4728.21290395763 | 4594.94423853594 | 4861.48156937931 |
50 | 5078.97790591805 | 4922.8129784874 | 5235.1428333487 |
51 | 5272.29496918333 | 5092.5442764069 | 5452.04566195976 |
52 | 5522.68738520085 | 5335.21528963463 | 5710.15948076706 |
53 | 5038.09798319949 | 4810.32530286957 | 5265.87066352942 |
54 | 5406.4857932308 | 5145.68176899139 | 5667.28981747021 |
55 | 5606.87484549269 | 5315.63750176234 | 5898.11218922303 |
56 | 5867.68379732189 | 5564.86156311491 | 6170.50603152888 |
57 | 5347.98306244136 | 5009.63160126145 | 5686.33452362127 |
58 | 5733.99368054355 | 5352.3513722919 | 6115.63598879521 |
59 | 5941.45472180205 | 5522.78771544902 | 6360.12172815507 |
60 | 6212.68020944294 | 5778.13341712138 | 6647.2270017645 |
61 | 5657.86814168323 | 5194.84502358346 | 6120.891259783 |
62 | 6061.50156785631 | 5544.64363419924 | 6578.35950151337 |