Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.819981198634985 |
beta | 0 |
gamma | 0.36170856285575 |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
13 | 377.26 | 371.009400986173 | 6.25059901382747 |
14 | 381.87 | 380.653452325778 | 1.21654767422211 |
15 | 387.09 | 386.784685403584 | 0.305314596415542 |
16 | 387.14 | 387.056775784851 | 0.0832242151486184 |
17 | 388.78 | 388.825149863074 | -0.0451498630741298 |
18 | 389.16 | 389.265075296243 | -0.105075296243399 |
19 | 389.16 | 387.841702885853 | 1.31829711414656 |
20 | 389.42 | 389.385616563372 | 0.0343834366279339 |
21 | 389.49 | 389.780181762214 | -0.290181762214388 |
22 | 388.97 | 390.251480232465 | -1.28148023246501 |
23 | 388.97 | 390.108153321152 | -1.13815332115161 |
24 | 389.09 | 389.142786199201 | -0.0527861992012504 |
25 | 389.09 | 389.411700235456 | -0.321700235455864 |
26 | 391.76 | 393.442763553845 | -1.68276355384546 |
27 | 390.96 | 397.245105879771 | -6.28510587977144 |
28 | 391.76 | 392.08465841396 | -0.324658413959867 |
29 | 392.8 | 393.517515622571 | -0.717515622571284 |
30 | 393.06 | 393.39566249269 | -0.335662492690005 |
31 | 393.06 | 391.852061652162 | 1.20793834783842 |
32 | 393.26 | 393.214986919202 | 0.0450130807977871 |
33 | 393.87 | 393.589915839596 | 0.280084160403646 |
34 | 394.47 | 394.459292478046 | 0.0107075219539183 |
35 | 394.57 | 395.382508750227 | -0.812508750226812 |
36 | 394.57 | 394.739916522341 | -0.169916522341055 |
37 | 394.57 | 394.884289398671 | -0.314289398670951 |
38 | 399.57 | 398.876613414412 | 0.693386585587859 |
39 | 406.13 | 404.39469740701 | 1.73530259299025 |
40 | 407.03 | 406.17345141586 | 0.856548584140455 |
41 | 409.46 | 408.571719490841 | 0.888280509158676 |
42 | 409.9 | 409.766534650738 | 0.133465349261485 |
43 | 409.9 | 408.61192983067 | 1.2880701693299 |
44 | 410.14 | 409.931499624489 | 0.208500375511392 |
45 | 410.54 | 410.424780068692 | 0.11521993130782 |
46 | 410.69 | 411.12222154037 | -0.432221540369824 |
47 | 410.79 | 411.61969456224 | -0.829694562240149 |
48 | 410.97 | 410.963324562507 | 0.00667543749352717 |
49 | 410.97 | 411.210047304557 | -0.240047304556867 |
50 | 413.8 | 415.463371320798 | -1.66337132079764 |
51 | 423.31 | 419.260027498757 | 4.04997250124268 |
52 | 423.85 | 422.847090829969 | 1.0029091700307 |
53 | 426.6 | 425.392375481929 | 1.20762451807127 |
54 | 426.26 | 426.772029721534 | -0.512029721534475 |
55 | 426.26 | 425.071881911455 | 1.18811808854525 |
56 | 426.32 | 426.203964110476 | 0.116035889523857 |
57 | 427.14 | 426.585332267271 | 0.554667732729229 |
58 | 427.55 | 427.586994785885 | -0.036994785884815 |
59 | 428.29 | 428.372378789186 | -0.0823787891861798 |
60 | 428.8 | 428.341115169162 | 0.45888483083786 |
61 | 428.8 | 428.906076870355 | -0.106076870355423 |
62 | 434.87 | 433.318376374803 | 1.55162362519712 |
63 | 435.66 | 440.342157117929 | -4.68215711792919 |
64 | 440.75 | 436.53755692211 | 4.21244307789021 |
65 | 440.99 | 441.752560118548 | -0.762560118547981 |
66 | 441.04 | 441.37684357471 | -0.336843574709519 |
67 | 441.04 | 439.852814258992 | 1.18718574100774 |
68 | 441.88 | 440.880131534857 | 0.999868465142526 |
69 | 441.92 | 441.987223002533 | -0.0672230025326712 |
70 | 442.48 | 442.420687681127 | 0.0593123188732534 |
71 | 442.81 | 443.272939334154 | -0.462939334153987 |
72 | 442.81 | 442.930735112249 | -0.120735112248781 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
73 | 442.953466191857 | 440.039142476251 | 445.867789907462 |
74 | 447.676735916962 | 443.688840086301 | 451.664631747624 |
75 | 453.146680611524 | 448.300860102057 | 457.992501120991 |
76 | 453.739854625222 | 448.19702983131 | 459.282679419134 |
77 | 455.187359970545 | 449.018151040117 | 461.356568900972 |
78 | 455.438726850363 | 448.714627965866 | 462.162825734861 |
79 | 454.217353022748 | 447.002152034425 | 461.432554011071 |
80 | 454.227550443335 | 446.539271387208 | 461.915829499462 |
81 | 454.421043813924 | 446.286292900401 | 462.555794727447 |
82 | 454.901506337178 | 446.340333017753 | 463.462679656603 |
83 | 455.66251589777 | 446.691237722396 | 464.633794073145 |
84 | 455.692924282653 | 446.414336077752 | 464.971512487554 |