Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.917141973012215 |
beta | 0.25253006546771 |
gamma | 0.36015515776819 |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
13 | 549 | 537.047542735043 | 11.952457264957 |
14 | 564 | 566.131632467948 | -2.13163246794772 |
15 | 586 | 588.513246984324 | -2.51324698432404 |
16 | 604 | 605.712783923977 | -1.71278392397653 |
17 | 601 | 602.208101566718 | -1.2081015667178 |
18 | 545 | 546.011481104521 | -1.01148110452073 |
19 | 537 | 544.177591173333 | -7.17759117333276 |
20 | 552 | 547.526130262883 | 4.47386973711718 |
21 | 563 | 561.055221261207 | 1.94477873879282 |
22 | 575 | 571.423532358567 | 3.57646764143283 |
23 | 580 | 583.866664922779 | -3.86666492277902 |
24 | 575 | 575.462845705266 | -0.462845705266204 |
25 | 558 | 573.971963011982 | -15.9719630119815 |
26 | 564 | 570.989173961783 | -6.98917396178285 |
27 | 581 | 581.743382816719 | -0.743382816719418 |
28 | 597 | 593.838972280973 | 3.16102771902683 |
29 | 587 | 589.197079989091 | -2.19707998909064 |
30 | 536 | 526.247992379762 | 9.7520076202377 |
31 | 524 | 530.743328956824 | -6.74332895682403 |
32 | 537 | 531.580012500032 | 5.41998749996776 |
33 | 536 | 542.862646209819 | -6.86264620981899 |
34 | 533 | 540.123429768485 | -7.12342976848515 |
35 | 528 | 534.974400741587 | -6.9744007415868 |
36 | 516 | 515.54543195048 | 0.454568049520162 |
37 | 502 | 506.369116720427 | -4.36911672042692 |
38 | 506 | 508.919122974785 | -2.91912297478513 |
39 | 518 | 519.158455504085 | -1.1584555040854 |
40 | 534 | 526.459669289214 | 7.5403307107863 |
41 | 528 | 522.158387282446 | 5.84161271755443 |
42 | 478 | 465.284375624147 | 12.7156243758527 |
43 | 469 | 471.03778289842 | -2.03778289841978 |
44 | 490 | 476.675190190408 | 13.324809809592 |
45 | 493 | 496.79403201508 | -3.79403201507955 |
46 | 508 | 499.52499645362 | 8.47500354637953 |
47 | 517 | 514.962690396168 | 2.03730960383245 |
48 | 514 | 512.383896074122 | 1.61610392587818 |
49 | 510 | 512.761408827507 | -2.76140882750656 |
50 | 527 | 525.834018337887 | 1.16598166211281 |
51 | 542 | 549.823484135129 | -7.82348413512864 |
52 | 565 | 559.678818223963 | 5.32118177603729 |
53 | 555 | 561.184911683817 | -6.18491168381684 |
54 | 499 | 498.593930747228 | 0.40606925277217 |
55 | 511 | 494.874423581271 | 16.1255764187292 |
56 | 526 | 524.092360911749 | 1.9076390882509 |
57 | 532 | 537.04860002358 | -5.04860002358032 |
58 | 549 | 542.523931437376 | 6.47606856262428 |
59 | 561 | 559.002095511667 | 1.99790448833278 |
60 | 557 | 559.431354466081 | -2.43135446608142 |
61 | 566 | 558.085488161433 | 7.91451183856714 |
62 | 588 | 585.658586798069 | 2.341413201931 |
63 | 620 | 615.322019744215 | 4.6779802557852 |
64 | 626 | 644.794835421667 | -18.7948354216671 |
65 | 620 | 626.013947054919 | -6.01394705491896 |
66 | 573 | 565.990239436817 | 7.00976056318257 |
67 | 573 | 572.539594406755 | 0.460405593245468 |
68 | 574 | 587.081153769079 | -13.0811537690786 |
69 | 580 | 582.726558092455 | -2.72655809245532 |
70 | 590 | 587.85684910303 | 2.14315089697004 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
71 | 596.405348142127 | 583.055558640251 | 609.755137644003 |
72 | 590.585213555897 | 570.253077749558 | 610.917349362235 |
73 | 588.056244632929 | 560.616018139047 | 615.496471126811 |
74 | 602.649514895775 | 567.777645116264 | 637.521384675285 |
75 | 624.138195215724 | 581.456124817154 | 666.820265614295 |
76 | 641.43964957835 | 590.555260064335 | 692.324039092366 |
77 | 637.450173394939 | 577.972843583943 | 696.927503205935 |
78 | 581.896100692465 | 513.442658846092 | 650.349542538837 |
79 | 578.762905257643 | 500.959926618451 | 656.565883896834 |
80 | 589.313310306217 | 501.797816327129 | 676.828804285304 |
81 | 597.129868456804 | 499.549297256157 | 694.710439657452 |
82 | 605.402487394045 | 497.414332372933 | 713.390642415157 |