Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.598370702820769 |
beta | 0.0107745129481494 |
gamma | 1 |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
13 | 19683 | 19555.2445023852 | 127.755497614751 |
14 | 19381 | 19300.0097996718 | 80.9902003282441 |
15 | 19071 | 19031.9880642479 | 39.0119357521253 |
16 | 20772 | 20771.3965615316 | 0.603438468384411 |
17 | 22485 | 22527.9424913596 | -42.942491359634 |
18 | 24181 | 24273.0405170656 | -92.040517065554 |
19 | 23479 | 22811.4104974059 | 667.589502594074 |
20 | 22782 | 22867.2479659161 | -85.2479659161218 |
21 | 22067 | 22470.6351640011 | -403.635164001094 |
22 | 21489 | 21991.6786582602 | -502.678658260164 |
23 | 20903 | 21396.6514386398 | -493.651438639772 |
24 | 20330 | 20766.0182017139 | -436.01820171385 |
25 | 19736 | 19220.9352701911 | 515.064729808906 |
26 | 19483 | 19177.3644472700 | 305.63555273004 |
27 | 19242 | 19024.6391491622 | 217.360850837838 |
28 | 20334 | 20861.1049392308 | -527.104939230769 |
29 | 21423 | 22260.2714793545 | -837.271479354516 |
30 | 22523 | 23443.2061833741 | -920.206183374095 |
31 | 21986 | 21830.7669769188 | 155.233023081189 |
32 | 21462 | 21303.4537869478 | 158.546213052217 |
33 | 20908 | 20936.7489180875 | -28.7489180874945 |
34 | 20575 | 20641.1143367415 | -66.114336741528 |
35 | 20237 | 20309.8613155447 | -72.8613155446583 |
36 | 19904 | 19953.5953116783 | -49.5953116782694 |
37 | 19610 | 19031.1261848107 | 578.873815189312 |
38 | 19251 | 18943.5175002801 | 307.482499719870 |
39 | 18941 | 18757.8803619225 | 183.119638077493 |
40 | 20450 | 20238.9907461483 | 211.009253851709 |
41 | 21946 | 21948.8905239335 | -2.89052393353268 |
42 | 23409 | 23633.3330987482 | -224.333098748197 |
43 | 22741 | 22850.0509888369 | -109.050988836931 |
44 | 22069 | 22149.6809603769 | -80.6809603769252 |
45 | 21539 | 21553.4840770882 | -14.4840770881929 |
46 | 21189 | 21247.2876431217 | -58.2876431216646 |
47 | 20960 | 20913.7079999788 | 46.2920000212107 |
48 | 20704 | 20633.0468805794 | 70.9531194205738 |
49 | 19697 | 20012.0874739407 | -315.087473940694 |
50 | 19598 | 19273.8826648136 | 324.117335186431 |
51 | 19456 | 19043.5873658153 | 412.412634184657 |
52 | 20316 | 20700.0625314756 | -384.062531475611 |
53 | 21083 | 21967.7457822828 | -884.745782282811 |
54 | 22158 | 22990.6224750623 | -832.622475062348 |
55 | 21469 | 21902.2384502922 | -433.238450292247 |
56 | 20892 | 21036.8092259392 | -144.809225939214 |
57 | 20578 | 20442.6467721509 | 135.353227849053 |
58 | 20233 | 20211.8165008786 | 21.1834991214419 |
59 | 19947 | 19968.5491458151 | -21.5491458151373 |
60 | 20049 | 19660.3160643856 | 388.683935614412 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
61 | 19096.530449936 | 18373.6950488505 | 19819.3658510215 |
62 | 18804.4012499258 | 17963.1275625705 | 19645.6749372812 |
63 | 18420.7485063612 | 17478.7668398243 | 19362.730172898 |
64 | 19439.3662269767 | 18366.962386029 | 20511.7700679244 |
65 | 20661.4687602458 | 19452.3358210436 | 21870.6016994479 |
66 | 22190.8023929648 | 20831.0182596563 | 23550.5865262732 |
67 | 21758.2311283075 | 20341.3069433343 | 23175.1553132807 |
68 | 21263.6381222788 | 19796.5538263068 | 22730.7224182508 |
69 | 20864.8820662616 | 19345.8131461007 | 22383.9509864226 |
70 | 20504.7652467097 | 18934.4872908085 | 22075.0432026110 |
71 | 20230.3658527651 | 18606.1638305337 | 21854.5678749965 |
72 | 20098.5855044901 | 18566.5558759810 | 21630.6151329992 |