Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.69080418869719 |
beta | 0.352314670027524 |
gamma | 1 |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
13 | 612 | 612.089400000477 | -0.0894000004768714 |
14 | 595 | 594.790095339327 | 0.209904660672578 |
15 | 597 | 596.623735021542 | 0.376264978457925 |
16 | 593 | 592.956058399974 | 0.0439416000259598 |
17 | 590 | 590.356680910183 | -0.356680910182945 |
18 | 580 | 580.67094089129 | -0.670940891289547 |
19 | 574 | 573.599740618945 | 0.400259381055207 |
20 | 573 | 567.838500065108 | 5.16149993489239 |
21 | 573 | 574.610761589671 | -1.61076158967148 |
22 | 620 | 626.737257475476 | -6.73725747547621 |
23 | 626 | 629.320333110901 | -3.32033311090072 |
24 | 620 | 624.710194311144 | -4.71019431114405 |
25 | 588 | 603.191287814961 | -15.1912878149610 |
26 | 566 | 569.986732423449 | -3.98673242344898 |
27 | 557 | 561.747652815059 | -4.7476528150587 |
28 | 561 | 546.373942618191 | 14.6260573818089 |
29 | 549 | 549.142751099696 | -0.14275109969617 |
30 | 532 | 535.543173268248 | -3.54317326824810 |
31 | 526 | 522.046631410014 | 3.95336858998564 |
32 | 511 | 516.222920374891 | -5.22292037489058 |
33 | 499 | 506.843186145951 | -7.84318614595105 |
34 | 555 | 537.572357413325 | 17.4276425866749 |
35 | 565 | 553.54969026782 | 11.4503097321800 |
36 | 542 | 559.096056446606 | -17.0960564466064 |
37 | 527 | 525.2578716831 | 1.74212831690045 |
38 | 510 | 509.975618584074 | 0.0243814159264275 |
39 | 514 | 506.498364352349 | 7.5016356476512 |
40 | 517 | 510.690867908184 | 6.30913209181563 |
41 | 508 | 507.013581662415 | 0.986418337584666 |
42 | 493 | 497.367925723622 | -4.36792572362214 |
43 | 490 | 489.104822359732 | 0.895177640268116 |
44 | 469 | 481.279505899806 | -12.2795058998058 |
45 | 478 | 467.014058531009 | 10.9859414689914 |
46 | 528 | 521.775769913937 | 6.22423008606313 |
47 | 534 | 530.942569439009 | 3.05743056099061 |
48 | 518 | 523.385386140949 | -5.38538614094898 |
49 | 506 | 507.70786057647 | -1.70786057647018 |
50 | 502 | 492.875650165955 | 9.12434983404512 |
51 | 516 | 503.033175760213 | 12.9668242397867 |
52 | 528 | 517.084311693514 | 10.9156883064862 |
53 | 533 | 522.285856660578 | 10.7141433394219 |
54 | 536 | 526.850207267779 | 9.14979273222082 |
55 | 537 | 542.295806022562 | -5.29580602256215 |
56 | 524 | 536.096310404435 | -12.0963104044349 |
57 | 536 | 541.154767022147 | -5.15476702214653 |
58 | 587 | 597.340633201987 | -10.3406332019869 |
59 | 597 | 598.710239866005 | -1.71023986600528 |
60 | 581 | 586.630095682546 | -5.63009568254608 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
61 | 573.468638679858 | 558.290906496002 | 588.646370863714 |
62 | 565.078142844615 | 544.470844444672 | 585.685441244558 |
63 | 571.481702111999 | 544.107572778173 | 598.855831445825 |
64 | 573.654937785177 | 538.766432850576 | 608.543442719777 |
65 | 565.546262902462 | 523.077712615336 | 608.014813189589 |
66 | 554.093135344403 | 503.931279072496 | 604.25499161631 |
67 | 549.038307628732 | 490.32242553036 | 607.754189727104 |
68 | 536.024972635493 | 469.333113677823 | 602.716831593163 |
69 | 546.621595847538 | 468.66320942911 | 624.579982265965 |
70 | 601.46993997143 | 504.447779178355 | 698.492100764505 |
71 | 611.030188362045 | 500.509429594391 | 721.5509471297 |
72 | 597.19299396077 | 477.409265719101 | 716.976722202439 |