Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 1 |
beta | 0.0943573923710635 |
gamma | FALSE |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
3 | 104.4 | 104.4 | 0 |
4 | 104.4 | 104.4 | 0 |
5 | 104.4 | 104.4 | 0 |
6 | 104.41 | 104.4 | 0.00999999999999091 |
7 | 104.42 | 104.410943573924 | 0.00905642607629886 |
8 | 104.68 | 104.421798114672 | 0.258201885327537 |
9 | 106.02 | 104.706161371277 | 1.31383862872272 |
10 | 106.35 | 106.17013175828 | 0.179868241720087 |
11 | 106.38 | 106.517103656539 | -0.137103656538997 |
12 | 106.47 | 106.534166913023 | -0.0641669130234277 |
13 | 106.5 | 106.618112290434 | -0.118112290434041 |
14 | 106.56 | 106.636967522702 | -0.0769675227017075 |
15 | 113.07 | 106.689705067962 | 6.38029493203767 |
16 | 116.26 | 113.801733060308 | 2.45826693969231 |
17 | 118 | 117.223688718489 | 0.776311281510928 |
18 | 118.02 | 119.036939426681 | -1.01693942668068 |
19 | 118.04 | 118.96098367418 | -0.920983674179752 |
20 | 118.12 | 118.894082056268 | -0.774082056267844 |
21 | 118.12 | 118.901041691957 | -0.781041691957171 |
22 | 118.17 | 118.827344634571 | -0.657344634571018 |
23 | 118.22 | 118.815319308964 | -0.595319308963781 |
24 | 118.22 | 118.809146531342 | -0.589146531341811 |
25 | 118.23 | 118.75355620092 | -0.523556200919941 |
26 | 118.23 | 118.714154803041 | -0.484154803041434 |
27 | 118.23 | 118.668471218323 | -0.438471218322519 |
28 | 119.94 | 118.627098217532 | 1.31290178246815 |
29 | 120.88 | 120.460980206165 | 0.419019793835133 |
30 | 121.14 | 121.440517821263 | -0.300517821263 |
31 | 121.16 | 121.672161743288 | -0.512161743287606 |
32 | 121.2 | 121.643835496719 | -0.443835496718748 |
33 | 121.2 | 121.641956336607 | -0.441956336606665 |
34 | 121.2 | 121.600254489143 | -0.400254489142597 |
35 | 121.2 | 121.562487519262 | -0.362487519262288 |
36 | 121.2 | 121.528284142178 | -0.328284142177637 |
37 | 121.22 | 121.497308106565 | -0.277308106564988 |
38 | 121.22 | 121.491142036746 | -0.271142036746156 |
39 | 121.95 | 121.465557781197 | 0.484442218803395 |
40 | 123.05 | 122.241268485717 | 0.808731514282641 |
41 | 123.44 | 123.417578282533 | 0.0224217174666421 |
42 | 123.65 | 123.809693937326 | -0.159693937325983 |
43 | 123.79 | 124.004625633822 | -0.21462563382245 |
44 | 123.87 | 124.124374118679 | -0.254374118678982 |
45 | 123.91 | 124.180372040154 | -0.270372040153745 |
46 | 123.94 | 124.194860439475 | -0.254860439474783 |
47 | 124.28 | 124.200812472987 | 0.079187527012607 |
48 | 126.28 | 124.548284401545 | 1.73171559845538 |
49 | 126.68 | 126.711684569743 | -0.0316845697431631 |
50 | 126.69 | 127.108694896364 | -0.418694896363817 |
51 | 126.69 | 127.079187937744 | -0.389187937743841 |
52 | 126.99 | 127.042465178796 | -0.0524651787960693 |
53 | 128.79 | 127.337514701335 | 1.45248529866541 |
54 | 128.84 | 129.274567426574 | -0.434567426573949 |
55 | 128.95 | 129.283562777393 | -0.333562777393041 |
56 | 128.97 | 129.362088663526 | -0.392088663526181 |
57 | 128.97 | 129.345092199658 | -0.375092199657587 |
58 | 128.97 | 129.309699477799 | -0.339699477799172 |
59 | 128.97 | 129.277646320884 | -0.307646320884231 |
60 | 128.97 | 129.248617616273 | -0.278617616273038 |
61 | 128.97 | 129.222327984533 | -0.252327984532883 |
62 | 128.98 | 129.19851897389 | -0.218518973890127 |
63 | 128.99 | 129.18790009333 | -0.197900093330219 |
64 | 129.07 | 129.179226756574 | -0.109226756573634 |
65 | 129.76 | 129.248920404646 | 0.511079595353834 |
66 | 130.47 | 129.987144542558 | 0.482855457442184 |
67 | 130.76 | 130.742705524414 | 0.0172944755857998 |
68 | 130.88 | 131.034337386033 | -0.154337386032893 |
69 | 131.04 | 131.139774512741 | -0.099774512741476 |
70 | 131.06 | 131.290360049894 | -0.230360049894074 |
71 | 131.13 | 131.28862387628 | -0.15862387627962 |
72 | 131.15 | 131.343656540946 | -0.19365654094608 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
73 | 131.345383614727 | 129.434630337194 | 133.256136892259 |
74 | 131.540767229454 | 128.708196747333 | 134.373337711575 |
75 | 131.73615084418 | 128.105387290889 | 135.366914397472 |
76 | 131.931534458907 | 127.550557963542 | 136.312510954273 |
77 | 132.126918073634 | 127.016145099861 | 137.237691047407 |
78 | 132.322301688361 | 126.488898597233 | 138.155704779489 |
79 | 132.517685303088 | 125.961486679684 | 139.073883926491 |
80 | 132.713068917814 | 125.429494361225 | 139.996643474404 |
81 | 132.908452532541 | 124.890113736169 | 140.926791328914 |
82 | 133.103836147268 | 124.341493525588 | 141.866178768948 |
83 | 133.299219761995 | 123.782385022731 | 142.816054501259 |
84 | 133.494603376722 | 123.211935707687 | 143.777271045756 |