Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.185475284794843 |
beta | 0.000362009975189055 |
gamma | 0.521962133305563 |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
13 | 37702 | 39722.9017575777 | -2020.90175757770 |
14 | 30364 | 31535.1647279220 | -1171.16472792205 |
15 | 32609 | 33590.6706490098 | -981.670649009757 |
16 | 30212 | 30845.0542818759 | -633.05428187587 |
17 | 29965 | 30291.5608338424 | -326.560833842421 |
18 | 28352 | 28469.5184451801 | -117.518445180067 |
19 | 25814 | 25831.2286456269 | -17.2286456268739 |
20 | 22414 | 22218.8079229484 | 195.192077051648 |
21 | 20506 | 20072.5399434037 | 433.460056596261 |
22 | 28806 | 27930.4449264666 | 875.555073533356 |
23 | 22228 | 21566.2431248708 | 661.756875129231 |
24 | 13971 | 13746.8693916781 | 224.130608321868 |
25 | 36845 | 37213.4050139222 | -368.405013922165 |
26 | 35338 | 29947.1989476151 | 5390.80105238488 |
27 | 35022 | 33308.6175017057 | 1713.38249829426 |
28 | 34777 | 31165.8203156701 | 3611.17968432987 |
29 | 26887 | 31520.5411419808 | -4633.54114198077 |
30 | 23970 | 28958.9890191581 | -4988.98901915809 |
31 | 22780 | 25492.0388690565 | -2712.03886905648 |
32 | 17351 | 21581.2380713670 | -4230.23807136697 |
33 | 21382 | 18854.0296661702 | 2527.9703338298 |
34 | 24561 | 26884.760927283 | -2323.76092728299 |
35 | 17409 | 20297.5845264531 | -2888.58452645312 |
36 | 11514 | 12446.0767867257 | -932.07678672567 |
37 | 31514 | 32744.2952985218 | -1230.29529852177 |
38 | 27071 | 28263.5475890451 | -1192.54758904512 |
39 | 29462 | 28693.3350317845 | 768.664968215468 |
40 | 26105 | 27404.5074091275 | -1299.50740912755 |
41 | 22397 | 23992.1600755122 | -1595.16007551224 |
42 | 23843 | 22093.2602175134 | 1749.73978248663 |
43 | 21705 | 21025.8101504192 | 679.189849580791 |
44 | 18089 | 17487.4969484943 | 601.503051505708 |
45 | 20764 | 18432.1220109149 | 2331.87798908514 |
46 | 25316 | 23929.205603231 | 1386.794396769 |
47 | 17704 | 18076.7317399466 | -372.731739946608 |
48 | 15548 | 11701.2390141251 | 3846.7609858749 |
49 | 28029 | 33682.2332964645 | -5653.23329646454 |
50 | 29383 | 28310.749161143 | 1072.25083885702 |
51 | 36438 | 30049.5703336388 | 6388.42966636116 |
52 | 32034 | 28761.9441145584 | 3272.05588544160 |
53 | 22679 | 25730.3147471643 | -3051.31474716425 |
54 | 24319 | 24963.3452032993 | -644.345203299283 |
55 | 18004 | 22866.9428489642 | -4862.9428489642 |
56 | 17537 | 18177.4902171702 | -640.490217170161 |
57 | 20366 | 19623.4814012916 | 742.518598708433 |
58 | 22782 | 24395.3863212825 | -1613.38632128246 |
59 | 19169 | 17424.4224011483 | 1744.57759885167 |
60 | 13807 | 13167.5829631344 | 639.417036865627 |
61 | 29743 | 29499.3786647026 | 243.621335297357 |
62 | 25591 | 28109.0855152350 | -2518.08551523496 |
63 | 29096 | 31165.2654727371 | -2069.26547273713 |
64 | 26482 | 27303.0021100247 | -821.002110024696 |
65 | 22405 | 21530.9386521874 | 874.061347812596 |
66 | 27044 | 22431.6796050798 | 4612.32039492025 |
67 | 17970 | 19629.5503743844 | -1659.55037438441 |
68 | 18730 | 17383.6798500639 | 1346.32014993611 |
69 | 19684 | 19765.1142051539 | -81.1142051538809 |
70 | 19785 | 23314.0381640939 | -3529.03816409394 |
71 | 18479 | 17568.5563000246 | 910.443699975363 |
72 | 10698 | 12888.4569955773 | -2190.45699557732 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
73 | 27245.5103222072 | 24298.6735269787 | 30192.3471174356 |
74 | 24823.0195252185 | 21764.5473174073 | 27881.4917330298 |
75 | 28275.3351838739 | 25018.2405341873 | 31532.4298335605 |
76 | 25480.8261514185 | 22176.9497044052 | 28784.7025984318 |
77 | 20816.6481598158 | 17541.8136275926 | 24091.4826920390 |
78 | 22940.02389854 | 19452.4402507169 | 26427.6075463630 |
79 | 17177.6691322863 | 13845.4495559018 | 20509.8887086708 |
80 | 16556.0822544388 | 13135.4716237339 | 19976.6928851438 |
81 | 17936.3113768610 | 14302.8783731128 | 21569.7443806092 |
82 | 19798.5316238417 | 15897.4397206946 | 23699.6235269888 |
83 | 16793.3755880923 | 13050.9727845655 | 20535.778391619 |
84 | 11047.7166824143 | 9412.9780783711 | 12682.4552864575 |