Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.223071063075747 |
beta | 0.704071621970474 |
gamma | 0.798808592252794 |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
13 | 561 | 574.514957264957 | -13.514957264957 |
14 | 554 | 562.330617730206 | -8.33061773020643 |
15 | 540 | 542.827697457408 | -2.82769745740802 |
16 | 526 | 524.73320693793 | 1.26679306206984 |
17 | 512 | 508.209372096042 | 3.79062790395812 |
18 | 505 | 499.927213565725 | 5.07278643427549 |
19 | 554 | 552.769455886608 | 1.23054411339206 |
20 | 584 | 569.031205265464 | 14.9687947345365 |
21 | 569 | 563.791863189683 | 5.20813681031655 |
22 | 540 | 544.484847019303 | -4.4848470193034 |
23 | 522 | 528.519558848554 | -6.51955884855352 |
24 | 526 | 529.534769772832 | -3.53476977283185 |
25 | 527 | 514.648017749209 | 12.3519822507906 |
26 | 516 | 514.30856243994 | 1.69143756005997 |
27 | 503 | 504.887752020474 | -1.88775202047384 |
28 | 489 | 494.122945242633 | -5.12294524263331 |
29 | 479 | 481.315417829978 | -2.31541782997766 |
30 | 475 | 475.083240908452 | -0.0832409084518417 |
31 | 524 | 526.197298182932 | -2.19729818293195 |
32 | 552 | 551.488762278716 | 0.511237721283692 |
33 | 532 | 535.964215549864 | -3.96421554986432 |
34 | 511 | 506.152379310424 | 4.84762068957605 |
35 | 492 | 490.028757420062 | 1.97124257993761 |
36 | 492 | 495.146621722687 | -3.14662172268697 |
37 | 493 | 490.623201456849 | 2.37679854315058 |
38 | 481 | 480.292918824268 | 0.707081175732185 |
39 | 462 | 467.12708641895 | -5.12708641895006 |
40 | 457 | 451.818964077163 | 5.18103592283717 |
41 | 442 | 442.857783864721 | -0.857783864720602 |
42 | 439 | 438.370450562603 | 0.629549437397429 |
43 | 488 | 488.47779878205 | -0.477798782049945 |
44 | 521 | 516.250168399913 | 4.7498316000873 |
45 | 501 | 499.975659899105 | 1.0243401008949 |
46 | 485 | 478.61097379258 | 6.38902620741993 |
47 | 464 | 463.15372217606 | 0.846277823939715 |
48 | 460 | 466.775376399843 | -6.77537639984297 |
49 | 467 | 466.231465540975 | 0.768534459025147 |
50 | 460 | 455.614627381199 | 4.38537261880145 |
51 | 448 | 441.334691394552 | 6.66530860544788 |
52 | 443 | 438.59276501451 | 4.40723498549022 |
53 | 436 | 429.12789591345 | 6.87210408654994 |
54 | 431 | 431.918703818457 | -0.918703818457175 |
55 | 484 | 485.381038068533 | -1.38103806853343 |
56 | 510 | 520.44201535638 | -10.4420153563802 |
57 | 513 | 500.326274232376 | 12.6737257676241 |
58 | 503 | 488.579010467348 | 14.420989532652 |
59 | 471 | 476.424378244796 | -5.42437824479566 |
60 | 471 | 477.883089249217 | -6.88308924921665 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
61 | 485.946107546524 | 474.086771467962 | 497.805443625086 |
62 | 481.230873793286 | 468.543611565011 | 493.918136021562 |
63 | 470.527267506045 | 456.330358951009 | 484.724176061081 |
64 | 466.989874783392 | 450.578317694522 | 483.401431872261 |
65 | 459.472199640592 | 440.203930689377 | 478.740468591808 |
66 | 456.216188843005 | 433.538628474894 | 478.893749211116 |
67 | 510.062077055812 | 483.504696564808 | 536.619457546815 |
68 | 540.490176348401 | 509.64746382009 | 571.332888876712 |
69 | 539.372236040447 | 503.88779294529 | 574.856679135605 |
70 | 526.214158838465 | 485.768498992246 | 566.659818684685 |
71 | 496.593252113943 | 450.895018047234 | 542.291486180652 |
72 | 497.275639080963 | 446.055370867333 | 548.495907294594 |