Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.496552453079008 |
beta | 0.754829928324468 |
gamma | 1 |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
13 | 472 | 467.552073817476 | 4.44792618252364 |
14 | 472 | 471.54850894744 | 0.451491052560584 |
15 | 471 | 472.976831065811 | -1.97683106581104 |
16 | 465 | 467.425440215685 | -2.42544021568494 |
17 | 459 | 460.484037397678 | -1.48403739767849 |
18 | 465 | 465.434792758289 | -0.434792758288552 |
19 | 468 | 469.131791819429 | -1.13179181942866 |
20 | 467 | 467.890571160227 | -0.8905711602265 |
21 | 463 | 463.931827028758 | -0.931827028757766 |
22 | 460 | 455.47224916567 | 4.52775083433016 |
23 | 462 | 457.053333971861 | 4.94666602813948 |
24 | 461 | 462.670208747762 | -1.67020874776165 |
25 | 476 | 481.778156539560 | -5.77815653955957 |
26 | 476 | 476.159533096608 | -0.159533096607561 |
27 | 471 | 473.334825803449 | -2.33482580344872 |
28 | 453 | 464.559690518383 | -11.5596905183833 |
29 | 443 | 447.488480081972 | -4.4884800819724 |
30 | 442 | 443.925487876679 | -1.92548787667863 |
31 | 444 | 438.374154508666 | 5.62584549133408 |
32 | 438 | 435.163620832066 | 2.83637916793441 |
33 | 427 | 429.183211059192 | -2.18321105919199 |
34 | 424 | 418.692768607932 | 5.30723139206805 |
35 | 416 | 416.78219736737 | -0.782197367370088 |
36 | 406 | 410.193636427058 | -4.19363642705838 |
37 | 431 | 416.648199042165 | 14.3518009578351 |
38 | 434 | 423.864431068114 | 10.1355689318856 |
39 | 418 | 429.279831313427 | -11.2798313134268 |
40 | 412 | 412.978207551179 | -0.978207551178912 |
41 | 404 | 409.319373675879 | -5.31937367587898 |
42 | 409 | 410.188424164302 | -1.18842416430232 |
43 | 412 | 412.74575799633 | -0.745757996330099 |
44 | 406 | 407.150269621264 | -1.15026962126410 |
45 | 398 | 397.604780713275 | 0.395219286724853 |
46 | 397 | 393.692604890684 | 3.30739510931636 |
47 | 385 | 388.767006210686 | -3.76700621068613 |
48 | 390 | 378.910515708274 | 11.0894842917255 |
49 | 413 | 406.607408154395 | 6.39259184560484 |
50 | 413 | 410.379196248942 | 2.62080375105825 |
51 | 401 | 401.670332331658 | -0.670332331658472 |
52 | 397 | 399.63788759354 | -2.63788759353974 |
53 | 397 | 396.063772627295 | 0.936227372704877 |
54 | 409 | 407.369181851178 | 1.63081814882185 |
55 | 419 | 418.110931949052 | 0.88906805094797 |
56 | 424 | 420.256668310323 | 3.74333168967712 |
57 | 428 | 422.664516361855 | 5.33548363814509 |
58 | 430 | 433.555060520055 | -3.55506052005478 |
59 | 424 | 429.068051710437 | -5.06805171043675 |
60 | 433 | 433.995324171498 | -0.995324171498396 |
61 | 456 | 458.713676668363 | -2.71367666836289 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
62 | 455.436667540855 | 445.905989794802 | 464.967345286908 |
63 | 441.067604793601 | 428.621646659256 | 453.513562927946 |
64 | 436.903693812768 | 420.015228667572 | 453.792158957965 |
65 | 436.274732156254 | 413.753549163715 | 458.795915148792 |
66 | 448.059427170016 | 418.310984053078 | 477.807870286953 |
67 | 457.338038587239 | 419.472750193873 | 495.203326980606 |
68 | 459.214373606561 | 413.034558421519 | 505.394188791604 |
69 | 457.642469162477 | 402.965005973521 | 512.319932351434 |
70 | 456.593014579788 | 392.945431670767 | 520.24059748881 |
71 | 449.342923605335 | 377.320355620725 | 521.365491589946 |
72 | 457.859049842284 | 374.543513588018 | 541.174586096549 |
73 | 482.401481211949 | 384.152608633567 | 580.650353790332 |