Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.902430979310268 |
beta | 0.171889535288598 |
gamma | 1 |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
13 | 557 | 582.066773504274 | -25.0667735042737 |
14 | 561 | 560.513715405438 | 0.486284594562449 |
15 | 549 | 545.554293592953 | 3.4457064070466 |
16 | 532 | 529.34170497986 | 2.65829502014026 |
17 | 526 | 523.830882518767 | 2.16911748123323 |
18 | 511 | 508.298414548989 | 2.70158545101117 |
19 | 499 | 514.290527895811 | -15.2905278958111 |
20 | 555 | 541.174157915786 | 13.8258420842142 |
21 | 565 | 555.519611956253 | 9.48038804374698 |
22 | 542 | 556.080843337813 | -14.0808433378133 |
23 | 527 | 507.487157800751 | 19.512842199249 |
24 | 510 | 502.819589809251 | 7.18041019074894 |
25 | 514 | 499.774259953008 | 14.2257400469916 |
26 | 517 | 523.357456043095 | -6.35745604309477 |
27 | 508 | 508.633474020973 | -0.633474020973267 |
28 | 493 | 494.152819018376 | -1.15281901837568 |
29 | 490 | 490.053765896008 | -0.0537658960076328 |
30 | 469 | 477.121206562276 | -8.12120656227648 |
31 | 478 | 474.46616468344 | 3.53383531656021 |
32 | 528 | 526.973485273004 | 1.02651472699631 |
33 | 534 | 533.154182718774 | 0.845817281225663 |
34 | 518 | 526.0948171399 | -8.09481713989953 |
35 | 506 | 489.57970660244 | 16.4202933975604 |
36 | 502 | 483.83724861902 | 18.1627513809797 |
37 | 516 | 496.012878429499 | 19.9871215705006 |
38 | 528 | 528.303486745401 | -0.30348674540096 |
39 | 533 | 526.056805109543 | 6.9431948904571 |
40 | 536 | 525.993707568230 | 10.0062924317696 |
41 | 537 | 541.434008533813 | -4.43400853381263 |
42 | 524 | 532.443786526393 | -8.44378652639284 |
43 | 536 | 539.267107680346 | -3.2671076803457 |
44 | 587 | 592.969756290473 | -5.96975629047301 |
45 | 597 | 599.311267383891 | -2.31126738389071 |
46 | 581 | 594.532895626929 | -13.5328956269292 |
47 | 564 | 560.661037434374 | 3.33896256562559 |
48 | 558 | 546.41326303539 | 11.5867369646098 |
49 | 575 | 554.942106479032 | 20.0578935209677 |
50 | 580 | 587.437435597709 | -7.43743559770917 |
51 | 575 | 580.473890899085 | -5.47389089908484 |
52 | 563 | 568.591956654152 | -5.59195665415223 |
53 | 552 | 565.215275065266 | -13.2152750652664 |
54 | 537 | 543.215486277513 | -6.21548627751315 |
55 | 545 | 548.206578842009 | -3.20657884200909 |
56 | 601 | 597.361345661228 | 3.63865433877197 |
57 | 604 | 609.882370920297 | -5.88237092029669 |
58 | 586 | 597.38412898002 | -11.3841289800203 |
59 | 564 | 564.028555948256 | -0.0285559482556437 |
60 | 549 | 543.955192456023 | 5.04480754397673 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
61 | 542.800781344236 | 523.096887611713 | 562.504675076759 |
62 | 546.795067217103 | 518.116520134701 | 575.473614299506 |
63 | 540.171072944562 | 502.842858183237 | 577.499287705887 |
64 | 527.502726293093 | 481.462127800306 | 573.54332478588 |
65 | 523.581313943002 | 468.625277354667 | 578.537350531336 |
66 | 511.393008216494 | 447.257472209831 | 575.528544223158 |
67 | 520.453507751861 | 446.846283979418 | 594.060731524304 |
68 | 571.834056317333 | 488.450491910470 | 655.217620724195 |
69 | 578.2422506406 | 484.773342110523 | 671.711159170677 |
70 | 569.527866088077 | 465.664681296064 | 673.391050880089 |
71 | 548.331748990947 | 433.767900805657 | 662.895597176237 |
72 | 529.561701063319 | 403.994735075952 | 655.128667050687 |