Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.790051014944359 |
beta | 0.0588166529110655 |
gamma | FALSE |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
3 | 104.42 | 104.42 | 0 |
4 | 104.42 | 104.42 | 0 |
5 | 104.42 | 104.42 | 0 |
6 | 104.42 | 104.42 | 0 |
7 | 104.42 | 104.42 | 0 |
8 | 104.44 | 104.42 | 0.019999999999996 |
9 | 104.44 | 104.436730383425 | 0.00326961657455627 |
10 | 104.44 | 104.440394843499 | -0.000394843499336162 |
11 | 105.19 | 104.441145845523 | 0.748854154476831 |
12 | 105.19 | 105.068639650761 | 0.121360349238756 |
13 | 105.19 | 105.20602072998 | -0.0160207299801129 |
14 | 106.38 | 105.234119294343 | 1.14588070565723 |
15 | 106.38 | 106.23342623096 | 0.146573769040245 |
16 | 106.38 | 106.450040720875 | -0.0700407208748999 |
17 | 106.38 | 106.492264050014 | -0.112264050013991 |
18 | 106.38 | 106.495912091686 | -0.11591209168634 |
19 | 106.38 | 106.491291773136 | -0.111291773136102 |
20 | 106.72 | 106.485150218434 | 0.234849781566268 |
21 | 106.73 | 106.763391186702 | -0.033391186701806 |
22 | 106.72 | 106.828156478856 | -0.108156478856401 |
23 | 108.6 | 106.828827543894 | 1.77117245610575 |
24 | 108.6 | 108.396567459987 | 0.203432540012543 |
25 | 109.65 | 108.735165999274 | 0.91483400072606 |
26 | 109.65 | 109.67831863399 | -0.0283186339899686 |
27 | 109.65 | 109.87501665769 | -0.22501665768992 |
28 | 109.65 | 109.905857098902 | -0.255857098902226 |
29 | 109.65 | 109.900442810564 | -0.250442810563996 |
30 | 109.65 | 109.88766847055 | -0.237668470550076 |
31 | 109.65 | 109.873942495186 | -0.223942495185625 |
32 | 109.65 | 109.860654545714 | -0.210654545714192 |
33 | 112.27 | 109.848076025848 | 2.42192397415225 |
34 | 112.27 | 112.027911179368 | 0.24208882063202 |
35 | 112.27 | 112.496814778601 | -0.226814778600541 |
36 | 112.27 | 112.584720948759 | -0.314720948758847 |
37 | 112.27 | 112.588552257717 | -0.318552257717087 |
38 | 114.98 | 112.574554101034 | 2.40544589896594 |
39 | 114.98 | 114.824430088817 | 0.155569911183235 |
40 | 114.98 | 115.304018315906 | -0.32401831590559 |
41 | 114.98 | 115.389650843671 | -0.409650843670889 |
42 | 114.98 | 115.388593586519 | -0.408593586519359 |
43 | 114.98 | 115.3693850258 | -0.389385025800451 |
44 | 116.04 | 115.347258203722 | 0.692741796277545 |
45 | 116.59 | 116.21225720981 | 0.377742790189942 |
46 | 116.59 | 116.845943942458 | -0.255943942458032 |
47 | 116.59 | 116.967092585691 | -0.377092585691344 |
48 | 116.59 | 116.975004823157 | -0.385004823157004 |
49 | 118.75 | 116.958775525073 | 1.79122447492706 |
50 | 118.75 | 118.745113291611 | 0.00488670838868188 |
51 | 118.75 | 119.120380168992 | -0.370380168991929 |
52 | 118.75 | 119.181956185429 | -0.431956185429485 |
53 | 118.75 | 119.174811800033 | -0.424811800032927 |
54 | 118.75 | 119.153571622436 | -0.403571622436161 |
55 | 118.75 | 119.130359039466 | -0.380359039466398 |
56 | 119.31 | 119.107810997925 | 0.202189002075315 |
57 | 119.31 | 119.554900978013 | -0.244900978013092 |
58 | 119.31 | 119.63738696863 | -0.327386968630009 |
59 | 119.31 | 119.639491749803 | -0.329491749803267 |
60 | 119.31 | 119.624622772336 | -0.31462277233571 |
61 | 121.19 | 119.606881105438 | 1.58311889456165 |
62 | 121.19 | 121.162016784854 | 0.0279832151462358 |
63 | 121.19 | 121.489816270787 | -0.29981627078682 |
64 | 121.19 | 121.54470553082 | -0.354705530819629 |
65 | 121.19 | 121.539746963197 | -0.349746963197433 |
66 | 122.91 | 121.522453820397 | 1.38754617960329 |
67 | 122.91 | 122.942187601108 | -0.0321876011077222 |
68 | 122.91 | 123.238763568937 | -0.328763568937106 |
69 | 122.91 | 123.285752355458 | -0.375752355458459 |
70 | 122.91 | 123.278157084304 | -0.368157084303547 |
71 | 122.91 | 123.259454883887 | -0.349454883886665 |
72 | 122.91 | 123.239289851717 | -0.329289851716808 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
73 | 123.219754731372 | 121.94116233432 | 124.498347128424 |
74 | 123.460375392588 | 121.79341042675 | 125.127340358425 |
75 | 123.700996053803 | 121.687697756671 | 125.714294350934 |
76 | 123.941616715018 | 121.603743315489 | 126.279490114548 |
77 | 124.182237376233 | 121.53220375361 | 126.832270998857 |
78 | 124.422858037449 | 121.467945425141 | 127.377770649756 |
79 | 124.663478698664 | 121.407836968534 | 127.919120428793 |
80 | 124.904099359879 | 121.349831250476 | 128.458367469283 |
81 | 125.144720021094 | 121.292522634047 | 128.996917408142 |
82 | 125.38534068231 | 121.234910363964 | 129.535771000655 |
83 | 125.625961343525 | 121.176262122652 | 130.075660564398 |
84 | 125.86658200474 | 121.116030594442 | 130.617133415038 |