Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.643302986555876 |
beta | 0.415663566229055 |
gamma | 1 |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
13 | 612 | 612.089400000477 | -0.0894000004768714 |
14 | 595 | 594.792135495624 | 0.207864504375607 |
15 | 597 | 596.616883141811 | 0.383116858188828 |
16 | 593 | 592.949074612207 | 0.0509253877928586 |
17 | 590 | 590.368163116416 | -0.368163116416213 |
18 | 580 | 580.695969271327 | -0.69596927132693 |
19 | 574 | 573.621810225393 | 0.378189774607108 |
20 | 573 | 567.813076735097 | 5.18692326490293 |
21 | 573 | 574.472420199937 | -1.47242019993723 |
22 | 620 | 626.892432647018 | -6.89243264701793 |
23 | 626 | 629.621712472036 | -3.62171247203639 |
24 | 620 | 624.7362909614 | -4.7362909614003 |
25 | 588 | 603.064475333712 | -15.0644753337123 |
26 | 566 | 569.995336591534 | -3.99533659153417 |
27 | 557 | 561.189151071784 | -4.18915107178373 |
28 | 561 | 545.664157621042 | 15.3358423789576 |
29 | 549 | 547.996442438667 | 1.00355756133285 |
30 | 532 | 535.251026579782 | -3.25102657978164 |
31 | 526 | 522.270769764153 | 3.72923023584701 |
32 | 511 | 516.48295696508 | -5.48295696508012 |
33 | 499 | 506.884743413432 | -7.88474341343226 |
34 | 555 | 537.427176292357 | 17.5728237076427 |
35 | 565 | 552.954000315342 | 12.0459996846583 |
36 | 542 | 558.997240190181 | -16.9972401901808 |
37 | 527 | 525.841859570441 | 1.15814042955935 |
38 | 510 | 510.642935046106 | -0.642935046106231 |
39 | 514 | 506.835559310052 | 7.16444068994781 |
40 | 517 | 511.366671643208 | 5.63332835679199 |
41 | 508 | 506.438115990968 | 1.56188400903238 |
42 | 493 | 496.851936102395 | -3.8519361023948 |
43 | 490 | 489.536647668923 | 0.463352331077033 |
44 | 469 | 481.284450703199 | -12.2844507031990 |
45 | 478 | 467.131433391971 | 10.8685666080286 |
46 | 528 | 522.24882158737 | 5.75117841262943 |
47 | 534 | 530.849422020942 | 3.15057797905831 |
48 | 518 | 521.958596800189 | -3.9585968001893 |
49 | 506 | 508.079702473317 | -2.07970247331701 |
50 | 502 | 493.645075508818 | 8.35492449118198 |
51 | 516 | 503.775631427257 | 12.2243685727433 |
52 | 528 | 517.840275656996 | 10.1597243430039 |
53 | 533 | 522.163558606196 | 10.8364413938036 |
54 | 536 | 526.27850929334 | 9.72149070666035 |
55 | 537 | 542.865766370818 | -5.8657663708176 |
56 | 524 | 536.545143822516 | -12.5451438225163 |
57 | 536 | 543.1578871719 | -7.15788717189992 |
58 | 587 | 598.710556596277 | -11.7105565962773 |
59 | 597 | 598.780930454105 | -1.78093045410492 |
60 | 581 | 584.265408047078 | -3.2654080470777 |
61 | 564 | 572.149744658917 | -8.14974465891737 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
62 | 556.77094617538 | 541.542071678907 | 571.999820671852 |
63 | 561.373121937401 | 540.675945928169 | 582.070297946633 |
64 | 561.55364173175 | 534.061822555433 | 589.045460908066 |
65 | 551.017756204007 | 516.199051832215 | 585.836460575799 |
66 | 536.673379485906 | 494.184453316313 | 579.162305655498 |
67 | 528.359288914592 | 477.313411516818 | 579.405166312366 |
68 | 512.421115427972 | 453.185509515487 | 571.656721340457 |
69 | 520.785122602117 | 450.117386146346 | 591.452859057887 |
70 | 571.055601807969 | 481.591117437412 | 660.520086178525 |
71 | 578.312509742527 | 474.81469112790 | 681.810328357154 |
72 | 561.811205283486 | 448.103131955216 | 675.519278611755 |
73 | 548.27655490659 | 424.281053446774 | 672.272056366406 |