Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0 |
beta | 0 |
gamma | 0.64261433345284 |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
13 | 580 | 537.24258502096 | 42.7574149790404 |
14 | 336 | 313.048165480195 | 22.9518345198052 |
15 | 468 | 436.904730874924 | 31.0952691250757 |
16 | 229 | 211.562889105778 | 17.4371108942221 |
17 | 189 | 171.102834139987 | 17.8971658600127 |
18 | 181 | 167.058248985678 | 13.9417510143221 |
19 | 210 | 279.429763167664 | -69.4297631676641 |
20 | 270 | 183.963895760897 | 86.0361042391033 |
21 | 229 | 262.138980830778 | -33.1389808307783 |
22 | 319 | 135.342306699431 | 183.657693300569 |
23 | 377 | 336.197123557495 | 40.8028764425054 |
24 | 275 | 404.684249456457 | -129.684249456457 |
25 | 365 | 661.524278115199 | -296.524278115199 |
26 | 269 | 383.197552825438 | -114.197552825438 |
27 | 377 | 533.031903881767 | -156.031903881767 |
28 | 194 | 259.386273447332 | -65.3862734473317 |
29 | 337 | 212.214131164843 | 124.785868835157 |
30 | 212 | 204.179166244001 | 7.82083375599905 |
31 | 278 | 271.887621569228 | 6.11237843077231 |
32 | 197 | 276.536605118614 | -79.5366051186138 |
33 | 305 | 277.894913049252 | 27.1050869507482 |
34 | 343 | 291.847600981604 | 51.1523990183962 |
35 | 588 | 416.778402703406 | 171.221597296594 |
36 | 382 | 368.952672423266 | 13.0473275767343 |
37 | 266 | 539.89415698679 | -273.89415698679 |
38 | 305 | 354.603254375769 | -49.6032543757689 |
39 | 345 | 494.584896742879 | -149.584896742879 |
40 | 249 | 248.05438186402 | 0.945618135979515 |
41 | 253 | 333.202469935597 | -80.2024699355969 |
42 | 167 | 238.059883315162 | -71.0598833151625 |
43 | 149 | 313.42554910449 | -164.42554910449 |
44 | 286 | 255.81871273447 | 30.1812872655297 |
45 | 260 | 334.686891003684 | -74.6868910036844 |
46 | 375 | 367.537634422994 | 7.46236557700621 |
47 | 339 | 595.519857457837 | -256.519857457837 |
48 | 322 | 426.024278478255 | -104.024278478255 |
49 | 396 | 410.337991143856 | -14.3379911438558 |
50 | 421 | 363.491883130743 | 57.5081168692566 |
51 | 254 | 448.265500169916 | -194.265500169916 |
52 | 279 | 279.42348782747 | -0.423487827469671 |
53 | 347 | 316.151612749689 | 30.8483872503112 |
54 | 264 | 215.715833243036 | 48.2841667569639 |
55 | 324 | 232.694244974291 | 91.3057550257086 |
56 | 243 | 307.911395381105 | -64.9113953811049 |
57 | 324 | 320.419583113079 | 3.5804168869214 |
58 | 420 | 415.710501209971 | 4.28949879002948 |
59 | 295 | 480.368643193934 | -185.368643193934 |
60 | 731 | 400.224480284655 | 330.775519715345 |
61 | 576 | 446.533293484538 | 129.466706515462 |
62 | 391 | 445.356253745564 | -54.356253745564 |
63 | 229 | 359.36319656491 | -130.36319656491 |
64 | 347 | 309.882827139898 | 37.1171728601015 |
65 | 262 | 372.626150023481 | -110.626150023481 |
66 | 317 | 273.418285703198 | 43.5817142968024 |
67 | 249 | 322.585928585481 | -73.5859285854808 |
68 | 211 | 294.466567205437 | -83.4665672054373 |
69 | 303 | 356.690155575252 | -53.6901555752518 |
70 | 337 | 462.132065497593 | -125.132065497593 |
71 | 383 | 398.617697686425 | -15.6176976864252 |
72 | 588 | 675.633886624973 | -87.6338866249727 |
73 | 456 | 583.600085696887 | -127.600085696887 |
74 | 375 | 451.812694467101 | -76.812694467101 |
75 | 507 | 303.148296433534 | 203.851703566466 |
76 | 405 | 366.831769332349 | 38.1682306676508 |
77 | 363 | 331.194826300262 | 31.8051736997379 |
78 | 394 | 330.83112890429 | 63.1688710957103 |
79 | 166 | 301.939757588981 | -135.939757588981 |
80 | 217 | 263.94889960409 | -46.9488996040903 |
81 | 299 | 352.871998610844 | -53.8719986108441 |
82 | 549 | 417.787690982482 | 131.212309017518 |
83 | 395 | 425.010273550435 | -30.0102735504352 |
84 | 730 | 676.928938259094 | 53.0710617409059 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
85 | 547.903220335223 | 410.49712042491 | 685.309320245535 |
86 | 439.316787294327 | 301.910687384014 | 576.722887204639 |
87 | 473.613343536334 | 336.207243626022 | 611.019443446647 |
88 | 426.669093509784 | 289.262993599472 | 564.075193420097 |
89 | 383.122184847441 | 245.716084937128 | 520.528284757754 |
90 | 404.439172283249 | 267.033072372937 | 541.845272193562 |
91 | 233.516322919961 | 96.1102230096488 | 370.922422830274 |
92 | 254.255431108301 | 116.849331197989 | 391.661531018614 |
93 | 345.926706307699 | 208.520606397386 | 483.332806218011 |
94 | 545.453071375446 | 408.046971465134 | 682.859171285759 |
95 | 440.50100379139 | 303.094903881077 | 577.907103701702 |
96 | 771.545436791992 | 724.240916630758 | 818.849956953226 |