Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.10425711833567 |
beta | 0.130348249108125 |
gamma | 0.727179362888915 |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
13 | 9.743 | 9.74921180555556 | -0.00621180555555689 |
14 | 8.587 | 8.59142105170956 | -0.00442105170955998 |
15 | 9.731 | 9.74796524912095 | -0.016965249120954 |
16 | 9.563 | 9.58113773812208 | -0.0181377381220837 |
17 | 9.998 | 10.0105664997834 | -0.0125664997834232 |
18 | 9.437 | 9.44390532732481 | -0.00690532732481053 |
19 | 10.038 | 9.83615719750635 | 0.201842802493651 |
20 | 9.918 | 10.1042072025874 | -0.186207202587356 |
21 | 9.252 | 9.44822805956723 | -0.196228059567231 |
22 | 9.737 | 9.66103748397145 | 0.0759625160285538 |
23 | 9.035 | 9.03409035705682 | 0.000909642943176081 |
24 | 9.133 | 9.03345579567608 | 0.099544204323923 |
25 | 9.487 | 9.68611954459826 | -0.199119544598256 |
26 | 8.7 | 8.5058187499709 | 0.194181250029102 |
27 | 9.627 | 9.67403227136777 | -0.0470322713677724 |
28 | 8.947 | 9.50203221802548 | -0.555032218025485 |
29 | 9.283 | 9.87054444750937 | -0.587544447509369 |
30 | 8.829 | 9.23124105357236 | -0.402241053572357 |
31 | 9.947 | 9.69649106157862 | 0.250508938421376 |
32 | 9.628 | 9.69575706137927 | -0.0677570613792717 |
33 | 9.318 | 9.02611433318695 | 0.291885666813053 |
34 | 9.605 | 9.4542564257478 | 0.150743574252209 |
35 | 8.64 | 8.77438286347976 | -0.134382863479759 |
36 | 9.214 | 8.81021565717309 | 0.403784342826912 |
37 | 9.567 | 9.29051920324584 | 0.276480796754155 |
38 | 8.547 | 8.41290900386903 | 0.134090996130967 |
39 | 9.185 | 9.41384606651053 | -0.228846066510531 |
40 | 9.47 | 8.88563267108924 | 0.584367328910757 |
41 | 9.123 | 9.36087799748514 | -0.237877997485139 |
42 | 9.278 | 8.89260191145566 | 0.38539808854434 |
43 | 10.17 | 9.88972350198546 | 0.280276498014537 |
44 | 9.434 | 9.70976556212332 | -0.275765562123317 |
45 | 9.655 | 9.27484878636274 | 0.380151213637262 |
46 | 9.429 | 9.6436109406425 | -0.214610940642499 |
47 | 8.739 | 8.75831278013992 | -0.0193127801399235 |
48 | 9.552 | 9.1766377035185 | 0.375362296481507 |
49 | 9.687 | 9.5906222075736 | 0.0963777924263916 |
50 | 9.019 | 8.61860492555353 | 0.400395074446468 |
51 | 9.672 | 9.43163809278055 | 0.240361907219448 |
52 | 9.206 | 9.5091554995017 | -0.303155499501692 |
53 | 9.069 | 9.37133980882434 | -0.302339808824335 |
54 | 9.788 | 9.31649977838275 | 0.471500221617255 |
55 | 10.312 | 10.2694716023046 | 0.0425283976953832 |
56 | 10.105 | 9.71465512609808 | 0.390344873901917 |
57 | 9.863 | 9.7975942248095 | 0.0654057751904986 |
58 | 9.656 | 9.76302433589962 | -0.107024335899615 |
59 | 9.295 | 9.03450554722939 | 0.260494452770612 |
60 | 9.946 | 9.76123486649888 | 0.184765133501118 |
61 | 9.701 | 9.99319182522465 | -0.29219182522465 |
62 | 9.049 | 9.19297379159361 | -0.143973791593615 |
63 | 10.19 | 9.85189863573865 | 0.338101364261345 |
64 | 9.706 | 9.59379184124023 | 0.112208158759774 |
65 | 9.765 | 9.51367114412538 | 0.251328855874622 |
66 | 9.893 | 10.0419911674629 | -0.148991167462865 |
67 | 9.994 | 10.6638057580960 | -0.669805758095981 |
68 | 10.433 | 10.2645496399226 | 0.168450360077351 |
69 | 10.073 | 10.1129555017458 | -0.0399555017458297 |
70 | 10.112 | 9.95390909308532 | 0.158090906914678 |
71 | 9.266 | 9.49484565791946 | -0.228845657919457 |
72 | 9.82 | 10.1170063573100 | -0.297006357310037 |
73 | 10.097 | 9.97729069532818 | 0.119709304671821 |
74 | 9.115 | 9.31138696974474 | -0.196386969744744 |
75 | 10.411 | 10.2729688598946 | 0.138031140105372 |
76 | 9.678 | 9.83825957821236 | -0.160259578212356 |
77 | 10.408 | 9.80804322416032 | 0.599956775839683 |
78 | 10.153 | 10.1043857912686 | 0.0486142087313794 |
79 | 10.368 | 10.4026771219723 | -0.0346771219723347 |
80 | 10.581 | 10.6193959818708 | -0.0383959818707975 |
81 | 10.597 | 10.3114241972789 | 0.28557580272107 |
82 | 10.68 | 10.3206772680669 | 0.359322731933105 |
83 | 9.738 | 9.63865102730258 | 0.099348972697424 |
84 | 9.556 | 10.2631854515408 | -0.707185451540758 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
85 | 10.3591204222598 | 9.81037014845646 | 10.9078706960631 |
86 | 9.48019546736412 | 8.92764784332006 | 10.0327430914082 |
87 | 10.6881030433277 | 10.1308678894405 | 11.245338197215 |
88 | 10.0508533198912 | 9.4879638925652 | 10.6137427472171 |
89 | 10.5408485800279 | 9.97126928479105 | 11.1104278752648 |
90 | 10.4156869980321 | 9.83832191426582 | 10.9930520817985 |
91 | 10.6541674518087 | 10.0678694633351 | 11.2404654402823 |
92 | 10.8720611828951 | 10.2756414713724 | 11.4684808944178 |
93 | 10.7796202367276 | 10.1718578755293 | 11.3873825979259 |
94 | 10.8037589848034 | 10.1834103713601 | 11.4241075982466 |
95 | 9.90667245655666 | 9.27248034011989 | 10.5408645729934 |
96 | 9.98588969137553 | 9.33659158768095 | 10.6351877950701 |