Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.425497132234063 |
beta | 0.750351434132633 |
gamma | 1 |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
13 | 465 | 463.162941711369 | 1.83705828863145 |
14 | 459 | 458.438603676833 | 0.56139632316706 |
15 | 465 | 465.2984471025 | -0.298447102499665 |
16 | 468 | 468.830611719609 | -0.83061171960918 |
17 | 467 | 467.909466193403 | -0.909466193403148 |
18 | 463 | 463.825386794596 | -0.825386794596454 |
19 | 460 | 460.419032995802 | -0.419032995802013 |
20 | 462 | 459.016008640727 | 2.98399135927286 |
21 | 461 | 461.993485896885 | -0.99348589688526 |
22 | 476 | 478.029037775497 | -2.02903777549699 |
23 | 476 | 476.781658147538 | -0.781658147537769 |
24 | 471 | 475.06452024124 | -4.06452024123956 |
25 | 453 | 466.714795056054 | -13.7147950560544 |
26 | 443 | 448.038636565858 | -5.0386365658581 |
27 | 442 | 443.333552989163 | -1.33355298916308 |
28 | 444 | 437.088269004634 | 6.91173099536582 |
29 | 438 | 433.068855338723 | 4.9311446612769 |
30 | 427 | 427.274180244202 | -0.274180244201943 |
31 | 424 | 420.249779292069 | 3.75022070793068 |
32 | 416 | 419.523401440320 | -3.52340144031962 |
33 | 406 | 412.541952806296 | -6.54195280629597 |
34 | 431 | 416.884948656035 | 14.1150513439655 |
35 | 434 | 421.294446197908 | 12.7055538020916 |
36 | 418 | 426.133221355773 | -8.13322135577312 |
37 | 412 | 412.579570703811 | -0.579570703811328 |
38 | 404 | 409.810577625581 | -5.81057762558117 |
39 | 409 | 411.315704326062 | -2.31570432606202 |
40 | 412 | 413.593992012247 | -1.59399201224704 |
41 | 406 | 406.958288904532 | -0.958288904532367 |
42 | 398 | 396.251196617057 | 1.74880338294253 |
43 | 397 | 393.162960410734 | 3.837039589266 |
44 | 385 | 389.289314676407 | -4.28931467640746 |
45 | 390 | 380.944814075183 | 9.05518592481712 |
46 | 413 | 408.155227355912 | 4.84477264408798 |
47 | 413 | 410.499978301678 | 2.50002169832152 |
48 | 401 | 399.192627587688 | 1.80737241231230 |
49 | 397 | 396.994857742518 | 0.00514225748213448 |
50 | 397 | 394.338840993935 | 2.66115900606525 |
51 | 409 | 406.784928200258 | 2.21507179974157 |
52 | 419 | 418.453272028706 | 0.546727971294331 |
53 | 424 | 420.779974426139 | 3.22002557386071 |
54 | 428 | 422.158512469919 | 5.84148753008111 |
55 | 430 | 432.323650740407 | -2.32365074040723 |
56 | 424 | 428.580034262214 | -4.58003426221427 |
57 | 433 | 436.350283797238 | -3.35028379723821 |
58 | 456 | 462.684911396768 | -6.68491139676786 |
59 | 459 | 459.205190194173 | -0.205190194172587 |
60 | 446 | 444.533659983181 | 1.46634001681929 |
61 | 441 | 440.164665677983 | 0.835334322016934 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
62 | 438.977121235833 | 429.358138622567 | 448.596103849099 |
63 | 449.959818637493 | 437.879824477006 | 462.039812797979 |
64 | 458.672292641558 | 442.625022915679 | 474.719562367438 |
65 | 460.438380994200 | 439.448550022769 | 481.42821196563 |
66 | 458.801946609596 | 432.220326222380 | 485.383566996812 |
67 | 456.844595561333 | 424.113858256671 | 489.575332865995 |
68 | 448.321099290396 | 409.504376041661 | 487.13782253913 |
69 | 456.661703837808 | 409.906279973285 | 503.417127702331 |
70 | 482.273770641975 | 424.887167385101 | 539.660373898848 |
71 | 486.148892116373 | 419.772623285923 | 552.525160946822 |
72 | 472.372587312214 | 399.216318720857 | 545.52885590357 |
73 | 466.855442403412 | 386.159178550149 | 547.551706256674 |