Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 1 |
beta | 0.258036054059694 |
gamma | FALSE |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
3 | 180.16 | 191.2 | -11.04 |
4 | 181.52 | 195.271281963181 | -13.751281963181 |
5 | 182.25 | 193.08295542714 | -10.8329554271395 |
6 | 182.19 | 191.017662354916 | -8.82766235491587 |
7 | 182 | 188.679807194282 | -6.67980719428206 |
8 | 181.65 | 186.76617610399 | -5.11617610398997 |
9 | 180.07 | 185.096018210242 | -5.02601821024192 |
10 | 182.62 | 182.219124303639 | 0.400875696361112 |
11 | 180.38 | 184.872564686496 | -4.49256468649637 |
12 | 181.15 | 181.473321022185 | -0.323321022184899 |
13 | 180.5 | 182.159892541426 | -1.65989254142576 |
14 | 181.14 | 181.081580419873 | 0.0584195801268379 |
15 | 180.93 | 181.736654777809 | -0.806654777808888 |
16 | 211.91 | 181.318508761955 | 30.5914912380453 |
17 | 223.81 | 220.192216448822 | 3.61778355117838 |
18 | 226.88 | 233.02573504081 | -6.14573504080977 |
19 | 226.8 | 234.509913821583 | -7.7099138215828 |
20 | 231.81 | 232.440478081921 | -0.630478081921297 |
21 | 232.06 | 237.287792005491 | -5.22779200549118 |
22 | 232.32 | 236.188833184949 | -3.86883318494944 |
23 | 228.37 | 235.45053473609 | -7.08053473608987 |
24 | 226.31 | 229.673501492157 | -3.36350149215664 |
25 | 225.72 | 226.745596839297 | -1.02559683929667 |
26 | 219.98 | 225.890955877828 | -5.91095587782846 |
27 | 219.31 | 218.625716147393 | 0.684283852607365 |
28 | 215.19 | 218.132286052576 | -2.94228605257621 |
29 | 213.81 | 213.253070169655 | 0.556929830345439 |
30 | 213.7 | 212.016778145465 | 1.68322185453493 |
31 | 213.6 | 212.341110070916 | 1.25888992908372 |
32 | 213.52 | 212.565949060713 | 0.954050939287498 |
33 | 218.39 | 212.732128600458 | 5.65787139954176 |
34 | 219.97 | 219.062063410773 | 0.907936589226836 |
35 | 221.09 | 220.876343785594 | 0.213656214406313 |
36 | 219.17 | 222.051474792084 | -2.88147479208445 |
37 | 219.17 | 219.387950406862 | -0.217950406862485 |
38 | 218.45 | 219.331711343895 | -0.881711343894978 |
39 | 216.88 | 218.384198027897 | -1.50419802789665 |
40 | 216.19 | 216.426060704254 | -0.236060704253816 |
41 | 214.59 | 215.67514853161 | -1.0851485316096 |
42 | 269.87 | 213.795141086444 | 56.0748589135556 |
43 | 272.71 | 283.544476412452 | -10.8344764124524 |
44 | 280.35 | 283.58879087118 | -3.2387908711803 |
45 | 274.5 | 290.393066054856 | -15.8930660548564 |
46 | 268.86 | 280.442082003151 | -11.5820820031512 |
47 | 261.7 | 271.813487265262 | -10.1134872652623 |
48 | 263.98 | 262.043842918551 | 1.93615708144904 |
49 | 263.01 | 264.823441251888 | -1.81344125188787 |
50 | 262.79 | 263.385508026982 | -0.595508026981577 |
51 | 263.59 | 263.011845485538 | 0.578154514461517 |
52 | 267 | 263.961030195087 | 3.03896980491317 |
53 | 267.89 | 268.155193971953 | -0.265193971953238 |
54 | 267.86 | 268.97676436587 | -1.11676436586998 |
55 | 266.84 | 268.658598895586 | -1.81859889558649 |
56 | 268.24 | 267.169334812652 | 1.07066518734808 |
57 | 267.67 | 268.845605032814 | -1.17560503281436 |
58 | 269.07 | 267.972256549014 | 1.09774345098577 |
59 | 270.87 | 269.655513937476 | 1.21448606252358 |
60 | 271.68 | 271.768895128761 | -0.0888951287605551 |
61 | 271.63 | 272.55595698051 | -0.925956980510023 |
62 | 275.21 | 272.26702669503 | 2.94297330496977 |
63 | 276.66 | 276.606419913848 | 0.0535800861524081 |
64 | 276.08 | 278.070245507855 | -1.99024550785458 |
65 | 278.3 | 276.976690410398 | 1.32330958960227 |
66 | 279.06 | 279.538151995198 | -0.478151995198061 |
67 | 279.28 | 280.174771541116 | -0.894771541116427 |
68 | 279.12 | 280.163888223362 | -1.04388822336176 |
69 | 262.72 | 279.734527425326 | -17.0145274253261 |
70 | 262.55 | 258.944165906805 | 3.60583409319543 |
71 | 260.7 | 259.704601107807 | 0.99539889219335 |
72 | 259.14 | 258.111449910164 | 1.02855008983641 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
73 | 256.816852916748 | 238.701599261245 | 274.93210657225 |
74 | 254.493705833495 | 225.38133375837 | 283.606077908621 |
75 | 252.170558750243 | 212.148025152933 | 292.193092347553 |
76 | 249.847411666991 | 198.51826599749 | 301.176557336491 |
77 | 247.524264583739 | 184.358894136671 | 310.689635030806 |
78 | 245.201117500486 | 169.629618254758 | 320.772616746215 |
79 | 242.877970417234 | 154.32322217756 | 331.432718656908 |
80 | 240.554823333982 | 138.445863622378 | 342.663783045585 |
81 | 238.231676250729 | 122.009303326819 | 354.454049174639 |
82 | 235.908529167477 | 105.027498468359 | 366.789559866595 |
83 | 233.585382084225 | 87.5150149428409 | 379.655749225609 |
84 | 231.262235000973 | 69.4862674873581 | 393.038202514587 |