Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.844736520425172 |
beta | 0.201418589917053 |
gamma | 1 |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
13 | 557 | 582.052496527966 | -25.0524965279658 |
14 | 561 | 561.593877817214 | -0.59387781721432 |
15 | 549 | 545.131939567328 | 3.86806043267177 |
16 | 532 | 528.704091295119 | 3.29590870488096 |
17 | 526 | 523.343217568612 | 2.65678243138757 |
18 | 511 | 508.065790468832 | 2.93420953116845 |
19 | 499 | 515.704882590008 | -16.7048825900082 |
20 | 555 | 535.010017014547 | 19.9899829854526 |
21 | 565 | 552.934515429898 | 12.0654845701021 |
22 | 542 | 556.158169828962 | -14.1581698289621 |
23 | 527 | 512.48839064945 | 14.5116093505502 |
24 | 510 | 504.568207335858 | 5.43179266414199 |
25 | 514 | 498.94407769568 | 15.0559223043196 |
26 | 517 | 523.126709865252 | -6.12670986525234 |
27 | 508 | 510.2048028684 | -2.20480286839967 |
28 | 493 | 495.300399761747 | -2.30039976174669 |
29 | 490 | 490.085511028767 | -0.0855110287672005 |
30 | 469 | 477.622647624964 | -8.62264762496432 |
31 | 478 | 474.134726310683 | 3.86527368931695 |
32 | 528 | 520.807555531323 | 7.19244446867651 |
33 | 534 | 530.695609713923 | 3.30439028607748 |
34 | 518 | 525.596810978296 | -7.59681097829628 |
35 | 506 | 496.538262261834 | 9.46173773816565 |
36 | 502 | 486.518951675203 | 15.4810483247966 |
37 | 516 | 495.446568160868 | 20.5534318391322 |
38 | 528 | 526.496822834529 | 1.50317716547136 |
39 | 533 | 527.296214421762 | 5.7037855782379 |
40 | 536 | 526.50033096707 | 9.49966903292977 |
41 | 537 | 541.542046882319 | -4.54204688231869 |
42 | 524 | 531.890508591238 | -7.89050859123802 |
43 | 536 | 541.466795338661 | -5.46679533866097 |
44 | 587 | 595.153791745806 | -8.1537917458055 |
45 | 597 | 598.106445768071 | -1.10644576807078 |
46 | 581 | 591.8267065732 | -10.8267065731999 |
47 | 564 | 565.016013354905 | -1.01601335490500 |
48 | 558 | 547.804228463212 | 10.1957715367879 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
49 | 554.103642111245 | 534.106091829984 | 574.101192392506 |
50 | 563.383815128361 | 534.71561078866 | 592.052019468062 |
51 | 561.106066787084 | 524.087928956162 | 598.124204618006 |
52 | 552.441223075713 | 507.314011723428 | 597.568434427997 |
53 | 552.54194866692 | 498.474733792012 | 606.609163541827 |
54 | 542.030427598852 | 479.79223351731 | 604.268621680395 |
55 | 556.528351509304 | 483.029247911721 | 630.027455106886 |
56 | 614.705009288946 | 522.995857682173 | 706.414160895719 |
57 | 625.646056012605 | 521.214163332778 | 730.077948692433 |
58 | 618.125743458512 | 503.66519861243 | 732.586288304594 |
59 | 602.5041392458 | 479.616217809035 | 725.392060682565 |
60 | 588.552268264309 | 458.453463761461 | 718.651072767158 |