Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.811699206863691 |
beta | 0.698542100789111 |
gamma | 1 |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
13 | 528 | 557.922684722142 | -29.9226847221424 |
14 | 516 | 504.985239426392 | 11.0147605736081 |
15 | 502 | 489.663927930474 | 12.3360720695259 |
16 | 506 | 499.828350664313 | 6.17164933568688 |
17 | 518 | 515.972187977801 | 2.02781202219933 |
18 | 534 | 532.970597817396 | 1.02940218260392 |
19 | 528 | 531.104441925337 | -3.10444192533748 |
20 | 478 | 482.285441358656 | -4.28544135865587 |
21 | 469 | 465.432594594073 | 3.56740540592727 |
22 | 490 | 479.259005228635 | 10.7409947713649 |
23 | 493 | 492.846442883026 | 0.153557116974355 |
24 | 508 | 496.348780554203 | 11.6512194457973 |
25 | 517 | 508.376869735463 | 8.62313026453728 |
26 | 514 | 528.589728203554 | -14.5897282035536 |
27 | 510 | 511.985660040853 | -1.98566004085342 |
28 | 527 | 520.783392951383 | 6.21660704861677 |
29 | 542 | 548.437020320311 | -6.43702032031149 |
30 | 565 | 566.40612780695 | -1.40612780695005 |
31 | 555 | 567.485189897755 | -12.4851898977553 |
32 | 499 | 508.858460230444 | -9.85846023044382 |
33 | 511 | 485.952947615765 | 25.0470523842353 |
34 | 526 | 529.655536278595 | -3.65553627859458 |
35 | 532 | 531.268330064569 | 0.731669935431455 |
36 | 549 | 539.618453729242 | 9.38154627075812 |
37 | 561 | 549.35980820104 | 11.6401917989602 |
38 | 557 | 569.553232218153 | -12.5532322181531 |
39 | 566 | 559.72301368191 | 6.27698631809051 |
40 | 588 | 585.8550792479 | 2.14492075210023 |
41 | 620 | 615.32355318812 | 4.67644681188051 |
42 | 626 | 658.955127329477 | -32.9551273294775 |
43 | 620 | 626.880318524231 | -6.88031852423103 |
44 | 573 | 566.206458202869 | 6.79354179713096 |
45 | 573 | 570.992389696145 | 2.0076103038549 |
46 | 574 | 586.461483491403 | -12.4614834914028 |
47 | 580 | 571.248324422297 | 8.7516755777026 |
48 | 590 | 581.966968799496 | 8.0330312005043 |
49 | 593 | 583.588958021232 | 9.41104197876837 |
50 | 597 | 588.759268924386 | 8.24073107561446 |
51 | 595 | 602.668128288203 | -7.66812828820298 |
52 | 612 | 612.783174609366 | -0.783174609365915 |
53 | 628 | 634.76138608244 | -6.76138608243957 |
54 | 629 | 648.972535709871 | -19.9725357098707 |
55 | 621 | 626.481679579038 | -5.48167957903843 |
56 | 569 | 564.646871190517 | 4.35312880948345 |
57 | 567 | 560.445069744188 | 6.55493025581222 |
58 | 573 | 573.091463343326 | -0.0914633433263816 |
59 | 584 | 575.309684723872 | 8.69031527612822 |
60 | 589 | 589.270115136402 | -0.270115136401614 |
61 | 591 | 583.110089541434 | 7.88991045856551 |
62 | 595 | 584.730691311106 | 10.2693086888941 |
63 | 594 | 596.339202920928 | -2.33920292092773 |
64 | 611 | 614.130133911347 | -3.13013391134746 |
65 | 613 | 633.807436630685 | -20.8074366306846 |
66 | 611 | 626.402002233322 | -15.402002233322 |
67 | 594 | 605.333710089779 | -11.3337100897794 |
68 | 543 | 534.773495842194 | 8.22650415780572 |
69 | 537 | 528.643846670708 | 8.3561533292924 |
70 | 544 | 536.407767125581 | 7.59223287441876 |
71 | 555 | 545.893027476715 | 9.10697252328453 |
72 | 561 | 558.320150856424 | 2.67984914357612 |
73 | 562 | 558.029040514368 | 3.97095948563231 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
74 | 556.846094315295 | 535.968093672714 | 577.724094957877 |
75 | 552.109219829979 | 516.917706840608 | 587.300732819349 |
76 | 565.915888503798 | 511.615199170959 | 620.216577836638 |
77 | 580.581005338465 | 503.573374408028 | 657.588636268902 |
78 | 598.884428951282 | 495.397014171471 | 702.371843731094 |
79 | 608.429558402593 | 477.065378531278 | 739.793738273908 |
80 | 572.074063850002 | 422.261660783816 | 721.886466916188 |
81 | 576.959654924434 | 397.978196574608 | 755.94111327426 |
82 | 591.640772587362 | 378.176151978137 | 805.105393196587 |
83 | 604.903714443352 | 354.81661333167 | 854.990815555034 |
84 | 612.822622438737 | 326.074549841523 | 899.57069503595 |
85 | 612.463691973161 | 292.119083229454 | 932.808300716867 |