Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 1 |
beta | 0.0022417599933826 |
gamma | FALSE |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
3 | 498.88 | 499.42 | -0.539999999999964 |
4 | 498.88 | 499.538789449604 | -0.658789449603546 |
5 | 498.88 | 499.537312601771 | -0.657312601771366 |
6 | 498.88 | 499.535839064678 | -0.655839064677536 |
7 | 499.48 | 499.5343688309 | -0.0543688309002732 |
8 | 501.21 | 500.13424694903 | 1.07575305096969 |
9 | 502.05 | 501.866658529183 | 0.183341470817311 |
10 | 502.05 | 502.707069536757 | -0.657069536757092 |
11 | 502.05 | 502.705596544557 | -0.655596544556715 |
12 | 504.1 | 502.704126854451 | 1.39587314554865 |
13 | 506.81 | 504.757256067025 | 2.05274393297509 |
14 | 516.88 | 507.47185782625 | 9.40814217374952 |
15 | 520.43 | 517.562948622988 | 2.86705137701233 |
16 | 520.68 | 521.119375864063 | -0.43937586406355 |
17 | 520.68 | 521.368390888829 | -0.688390888829531 |
18 | 520.68 | 521.366847681675 | -0.68684768167509 |
19 | 521.03 | 521.365307934021 | -0.335307934020761 |
20 | 521.25 | 521.714556254109 | -0.464556254108743 |
21 | 521.25 | 521.933514830484 | -0.683514830483659 |
22 | 521.25 | 521.931982554282 | -0.681982554281831 |
23 | 521.65 | 521.930453713075 | -0.280453713075417 |
24 | 521.65 | 522.329825003161 | -0.679825003161454 |
25 | 522.77 | 522.328300998667 | 0.441699001333063 |
26 | 518.72 | 523.449291181817 | -4.72929118181719 |
27 | 519.27 | 519.388689246049 | -0.118689246048802 |
28 | 519.38 | 519.938423173245 | -0.558423173245274 |
29 | 521.29 | 520.047171322516 | 1.24282867748377 |
30 | 521.29 | 521.959957446124 | -0.669957446123931 |
31 | 521.29 | 521.958455562324 | -0.66845556232397 |
32 | 523.47 | 521.956957045387 | 1.51304295461307 |
33 | 523.86 | 524.140348924551 | -0.280348924550935 |
34 | 524.14 | 524.529720449548 | -0.389720449547667 |
35 | 524.14 | 524.808846789835 | -0.668846789835243 |
36 | 524.14 | 524.80734739586 | -0.667347395860133 |
37 | 534.6 | 524.805851363166 | 9.7941486368336 |
38 | 534.99 | 535.28780749375 | -0.297807493749701 |
39 | 535.39 | 535.677139880824 | -0.287139880824498 |
40 | 535.39 | 536.076496182127 | -0.686496182127144 |
41 | 535.39 | 536.07495722245 | -0.684957222450407 |
42 | 535.39 | 536.073421712752 | -0.683421712751965 |
43 | 535.39 | 536.071889645298 | -0.681889645297701 |
44 | 535.64 | 536.070361012371 | -0.430361012371009 |
45 | 536.08 | 536.319396246271 | -0.239396246270644 |
46 | 537.8 | 536.758859577343 | 1.04114042265667 |
47 | 537.8 | 538.48119356429 | -0.681193564290311 |
48 | 537.8 | 538.47966649181 | -0.679666491810053 |
49 | 537.85 | 538.47814284266 | -0.628142842659827 |
50 | 544.39 | 538.526734697165 | 5.86326530283486 |
51 | 545.15 | 545.079878730752 | 0.070121269248375 |
52 | 544.65 | 545.840035925808 | -1.19003592580771 |
53 | 544.65 | 545.337368150879 | -0.687368150878569 |
54 | 544.65 | 545.335827236457 | -0.685827236457158 |
55 | 545.73 | 545.334289776396 | 0.395710223603942 |
56 | 548.94 | 546.415176863744 | 2.52482313625569 |
57 | 550.94 | 549.630836911242 | 1.3091630887584 |
58 | 551.22 | 551.633771740679 | -0.413771740678726 |
59 | 551.22 | 551.912844163744 | -0.692844163744098 |
60 | 551.22 | 551.911290973416 | -0.69129097341613 |
61 | 553.12 | 551.909741264968 | 1.21025873503174 |
62 | 565.37 | 553.812454374582 | 11.557545625418 |
63 | 566.73 | 566.088363617987 | 0.641636382013189 |
64 | 566.73 | 567.449802012758 | -0.719802012758237 |
65 | 566.78 | 567.448188389403 | -0.668188389402985 |
66 | 566.78 | 567.496690471403 | -0.716690471403467 |
67 | 566.78 | 567.495083823377 | -0.715083823377086 |
68 | 566.78 | 567.49348077707 | -0.71348077706989 |
69 | 566.93 | 567.491881324408 | -0.561881324407864 |
70 | 566.93 | 567.640621721334 | -0.710621721333723 |
71 | 566.93 | 567.639028677988 | -0.709028677988385 |
72 | 566.93 | 567.637439205864 | -0.707439205863921 |
73 | 574.38 | 567.635853296954 | 6.74414670304554 |
74 | 574.4 | 575.100972055223 | -0.700972055222906 |
75 | 574.4 | 575.119400644113 | -0.719400644112966 |
76 | 574.4 | 575.11778792053 | -0.717787920529872 |
77 | 574.4 | 575.116178812286 | -0.716178812285875 |
78 | 574.4 | 575.114573311276 | -0.714573311276354 |
79 | 574.5 | 575.112971409415 | -0.61297140941474 |
80 | 574.5 | 575.211597274632 | -0.71159727463214 |
81 | 574.67 | 575.21000204433 | -0.540002044330436 |
82 | 574.66 | 575.378791489351 | -0.718791489351133 |
83 | 574.66 | 575.367180131347 | -0.707180131346718 |
84 | 574.94 | 575.36559480322 | -0.425594803220065 |
85 | 576.1 | 575.644640721817 | 0.455359278183096 |
86 | 583.38 | 576.805661528029 | 6.57433847197069 |
87 | 584.15 | 584.100399616999 | 0.0496003830012341 |
88 | 584.15 | 584.870510809153 | -0.720510809152984 |
89 | 584.15 | 584.868895596846 | -0.71889559684621 |
90 | 584.15 | 584.867284005458 | -0.717284005457827 |
91 | 585.14 | 584.86567602687 | 0.274323973129526 |
92 | 585.14 | 585.856290995379 | -0.716290995378699 |
93 | 585.67 | 585.854685242882 | -0.184685242881642 |
94 | 586.49 | 586.384271222893 | 0.105728777107288 |
95 | 586.81 | 587.204508241435 | -0.39450824143546 |
96 | 586.85 | 587.523623848643 | -0.673623848642592 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
97 | 587.562113745648 | 582.94718137102 | 592.177046120277 |
98 | 588.274227491297 | 581.740408019151 | 594.808046963442 |
99 | 588.986341236945 | 580.975111476276 | 596.997570997614 |
100 | 589.698454982593 | 580.437524627871 | 598.959385337315 |
101 | 590.410568728241 | 580.044947800068 | 600.776189656415 |
102 | 591.122682473889 | 579.755017150058 | 602.490347797721 |
103 | 591.834796219538 | 579.542595514993 | 604.126996924083 |
104 | 592.546909965186 | 579.391323280176 | 605.702496650196 |
105 | 593.259023710834 | 579.289849877917 | 607.228197543752 |
106 | 593.971137456482 | 579.229920347136 | 608.712354565828 |
107 | 594.683251202131 | 579.205309867434 | 610.161192536827 |
108 | 595.395364947779 | 579.21118780088 | 611.579542094678 |