Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.999926998533081 |
beta | FALSE |
gamma | FALSE |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
2 | 71.7 | 66.6 | 5.10000000000001 |
3 | 75.4 | 71.6996276925187 | 3.70037230748129 |
4 | 80.9 | 75.3997298673934 | 5.50027013260659 |
5 | 80.7 | 80.8995984722119 | -0.199598472211875 |
6 | 85 | 80.7000145709813 | 4.29998542901873 |
7 | 91.5 | 84.9996860947559 | 6.50031390524406 |
8 | 87.7 | 91.4995254675495 | -3.79952546754947 |
9 | 95.3 | 87.7002773709327 | 7.59972262906727 |
10 | 102.4 | 95.2994452090999 | 7.10055479090011 |
11 | 114.2 | 102.399481649084 | 11.8005183509157 |
12 | 111.7 | 114.19913854485 | -2.49913854484997 |
13 | 113.7 | 111.70018244078 | 1.99981755922019 |
14 | 118.8 | 113.699854010385 | 5.10014598961538 |
15 | 129 | 118.799627681861 | 10.2003723181387 |
16 | 136.4 | 128.999255357858 | 7.40074464214234 |
17 | 155 | 136.399459734785 | 18.6005402652152 |
18 | 166 | 154.998642133275 | 11.0013578667248 |
19 | 168.7 | 165.999196884738 | 2.70080311526237 |
20 | 145.5 | 168.699802837411 | -23.1998028374107 |
21 | 127.3 | 145.501693619639 | -18.2016936196394 |
22 | 91.5 | 127.301328750335 | -35.8013287503346 |
23 | 69 | 91.5026135495164 | -22.5026135495164 |
24 | 54 | 69.0016427237986 | -15.0016427237986 |
25 | 56.3 | 54.001095141925 | 2.29890485807496 |
26 | 54.2 | 56.299832176573 | -2.09983217657305 |
27 | 59.3 | 54.2001532908292 | 5.09984670917082 |
28 | 63.4 | 59.2996277037092 | 4.10037229629084 |
29 | 73.3 | 63.3997006668075 | 9.90029933319254 |
30 | 86.7 | 73.2992772636257 | 13.4007227363743 |
31 | 81.3 | 86.6990217275825 | -5.39902172758246 |
32 | 89.6 | 81.300394136506 | 8.29960586349395 |
33 | 85.3 | 89.5993941165971 | -4.29939411659711 |
34 | 92.4 | 85.3003138620774 | 7.09968613792263 |
35 | 96.8 | 92.3994817124973 | 4.40051828750272 |
36 | 93.6 | 96.7996787557098 | -3.19967875570981 |
37 | 97.6 | 93.6002335812428 | 3.99976641875716 |
38 | 94.2 | 97.5997080111841 | -3.39970801118409 |
39 | 99.9 | 94.2002481836719 | 5.69975181632809 |
40 | 106.4 | 99.8995839097563 | 6.50041609024368 |
41 | 96 | 106.39952546009 | -10.3995254600898 |
42 | 94.9 | 96.0007591806139 | -1.10075918061385 |
43 | 94.8 | 94.9000803570349 | -0.100080357034912 |
44 | 95.9 | 94.8000073060129 | 1.09999269398713 |
45 | 96.2 | 95.8999196989197 | 0.300080301080257 |
46 | 103.1 | 96.1999780936978 | 6.90002190630216 |
47 | 106.9 | 103.099496288279 | 3.80050371172095 |
48 | 114.2 | 106.899722557654 | 7.30027744234599 |
49 | 118.2 | 114.199467069038 | 4.00053293096221 |
50 | 123.9 | 118.199707955228 | 5.70029204477243 |
51 | 137.1 | 123.899583870319 | 13.2004161296811 |
52 | 146.2 | 137.099036350259 | 9.1009636497414 |
53 | 136.4 | 146.199335616303 | -9.79933561630318 |
54 | 133.2 | 136.400715365875 | -3.20071536587486 |
55 | 135.9 | 133.200233656917 | 2.69976634308313 |
56 | 127.1 | 135.899802913097 | -8.79980291309661 |
57 | 128.5 | 127.100642398521 | 1.39935760147875 |
58 | 126.6 | 128.499897844842 | -1.89989784484234 |
59 | 132.6 | 126.60013869533 | 5.99986130467033 |
60 | 130.9 | 132.599562001323 | -1.69956200132344 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
61 | 130.900124070519 | 112.216437696932 | 149.583810444106 |
62 | 130.900124070519 | 104.478365837022 | 157.321882304016 |
63 | 130.900124070519 | 98.5406049178468 | 163.259643223192 |
64 | 130.900124070519 | 93.5347972094442 | 168.265450931594 |
65 | 130.900124070519 | 89.1245711348873 | 172.675677006151 |
66 | 130.900124070519 | 85.1374100478502 | 176.662838093188 |
67 | 130.900124070519 | 81.4708294532238 | 180.329418687815 |
68 | 130.900124070519 | 78.0580542964633 | 183.742193844575 |
69 | 130.900124070519 | 74.8527020990404 | 186.947546041998 |
70 | 130.900124070519 | 71.8210018589307 | 189.979246282108 |
71 | 130.900124070519 | 68.9374590783272 | 192.862789062711 |
72 | 130.900124070519 | 66.182266993995 | 195.617981147043 |