Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.827978722117885 |
beta | 0.145260654323399 |
gamma | 1 |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
13 | 561 | 589.803151709402 | -28.8031517094020 |
14 | 549 | 550.714443159717 | -1.71444315971678 |
15 | 532 | 529.390074804629 | 2.60992519537126 |
16 | 526 | 522.960094264952 | 3.03990573504825 |
17 | 511 | 507.335079560942 | 3.66492043905816 |
18 | 499 | 494.918353722749 | 4.08164627725125 |
19 | 555 | 559.587578756035 | -4.5875787560351 |
20 | 565 | 557.193775965782 | 7.80622403421842 |
21 | 542 | 554.66732072158 | -12.6673207215804 |
22 | 527 | 507.95733946303 | 19.0426605369699 |
23 | 510 | 500.376194085807 | 9.62380591419253 |
24 | 514 | 500.23725224688 | 13.7627477531198 |
25 | 517 | 513.3507944761 | 3.64920552390004 |
26 | 508 | 511.602361406719 | -3.6023614067185 |
27 | 493 | 495.042235148799 | -2.04223514879880 |
28 | 490 | 489.858317469109 | 0.141682530890648 |
29 | 469 | 476.616561063489 | -7.61656106348914 |
30 | 478 | 458.249249324366 | 19.7507506756338 |
31 | 528 | 539.603989229005 | -11.6039892290052 |
32 | 534 | 537.891983809622 | -3.89198380962216 |
33 | 518 | 525.110038801985 | -7.1100388019853 |
34 | 506 | 492.076812446307 | 13.9231875536930 |
35 | 502 | 481.641528188325 | 20.3584718116750 |
36 | 516 | 495.398654175243 | 20.6013458247569 |
37 | 528 | 517.553169314065 | 10.4468306859353 |
38 | 533 | 526.121674047233 | 6.878325952767 |
39 | 536 | 525.704322337047 | 10.2956776629529 |
40 | 537 | 539.792142227226 | -2.79214222722590 |
41 | 524 | 531.114327230819 | -7.1143272308193 |
42 | 536 | 526.258688251446 | 9.74131174855438 |
43 | 587 | 601.116354618332 | -14.1163546183316 |
44 | 597 | 605.532835435446 | -8.53283543544649 |
45 | 581 | 594.678664491881 | -13.6786644918808 |
46 | 564 | 565.35876615169 | -1.35876615168979 |
47 | 558 | 547.073200753187 | 10.9267992468126 |
48 | 575 | 555.624354562131 | 19.3756454378687 |
49 | 580 | 577.431277379238 | 2.56872262076172 |
50 | 575 | 580.329550136699 | -5.32955013669914 |
51 | 563 | 570.390452011206 | -7.39045201120621 |
52 | 552 | 565.454248257545 | -13.4542482575455 |
53 | 537 | 543.793666842844 | -6.79366684284389 |
54 | 545 | 538.730361394393 | 6.2696386056067 |
55 | 601 | 602.81928739912 | -1.81928739911973 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
56 | 616.066721566197 | 594.375387966704 | 637.758055165689 |
57 | 610.107391376034 | 580.214397633983 | 640.000385118085 |
58 | 594.592617835598 | 556.766733498366 | 632.41850217283 |
59 | 580.069080071788 | 534.289764069337 | 625.848396074238 |
60 | 580.235881449481 | 526.365218882813 | 634.106544016149 |
61 | 579.988095513466 | 517.832504226068 | 642.143686800864 |
62 | 575.970964077483 | 505.308626374654 | 646.633301780313 |
63 | 567.301215091592 | 487.895887331841 | 646.706542851343 |
64 | 565.541030219201 | 477.149569565278 | 653.932490873125 |
65 | 555.884204839193 | 458.260892272141 | 653.507517406245 |
66 | 559.228333371631 | 452.127441386747 | 666.329225356516 |
67 | 616.515853963662 | 499.693199885146 | 733.338508042177 |