Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 1 |
beta | 0.124512197994220 |
gamma | FALSE |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
3 | 469 | 464 | 5 |
4 | 471 | 479.622560989971 | -8.62256098997108 |
5 | 443 | 480.54894696877 | -37.5489469687706 |
6 | 437 | 447.87364504932 | -10.8736450493205 |
7 | 444 | 440.519743604021 | 3.48025639597932 |
8 | 451 | 447.953077977468 | 3.0469220225325 |
9 | 457 | 455.33245693561 | 1.66754306438997 |
10 | 460 | 461.540086387807 | -1.54008638780726 |
11 | 454 | 464.348326846560 | -10.3483268465604 |
12 | 439 | 457.059833925333 | -18.0598339253326 |
13 | 441 | 439.811164307879 | 1.18883569212119 |
14 | 446 | 441.959188852959 | 4.04081114704121 |
15 | 459 | 447.462319130556 | 11.5376808694435 |
16 | 456 | 461.898901135367 | -5.89890113536671 |
17 | 433 | 458.164415989252 | -25.1644159892516 |
18 | 424 | 432.031139243189 | -8.03113924318899 |
19 | 430 | 422.031164443622 | 7.96883555637811 |
20 | 428 | 429.023381674201 | -1.02338167420106 |
21 | 424 | 426.895958172559 | -2.89595817255929 |
22 | 419 | 422.535376055195 | -3.53537605519460 |
23 | 409 | 417.095178611826 | -8.09517861182616 |
24 | 397 | 406.087230129712 | -9.08723012971188 |
25 | 397 | 392.955759132582 | 4.04424086741784 |
26 | 413 | 393.459316452202 | 19.5406835477976 |
27 | 413 | 411.892369911048 | 1.10763008895179 |
28 | 390 | 412.030283367988 | -22.0302833679881 |
29 | 385 | 386.287244363404 | -1.28724436340440 |
30 | 397 | 381.126966738361 | 15.8730332616387 |
31 | 398 | 395.103352998603 | 2.89664700139673 |
32 | 406 | 396.464020883561 | 9.53597911643948 |
33 | 412 | 405.651366603375 | 6.34863339662462 |
34 | 409 | 412.441848901849 | -3.44184890184863 |
35 | 404 | 409.013296729915 | -5.01329672991545 |
36 | 412 | 403.389080134876 | 8.61091986512355 |
37 | 418 | 412.461244694035 | 5.53875530596491 |
38 | 434 | 419.150887291333 | 14.8491127086671 |
39 | 431 | 436.999782952953 | -5.99978295295296 |
40 | 406 | 433.252736789993 | -27.2527367899925 |
41 | 416 | 404.859438630913 | 11.1405613690874 |
42 | 424 | 416.246574413867 | 7.75342558613283 |
43 | 427 | 425.211970475581 | 1.78802952441879 |
44 | 401 | 428.434601961745 | -27.4346019617452 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
45 | 399.018659370392 | 374.640595329226 | 423.396723411558 |
46 | 397.037318740783 | 360.352360359012 | 433.722277122555 |
47 | 395.055978111175 | 347.380875669479 | 442.731080552872 |
48 | 393.074637481567 | 334.815693378092 | 451.333581585042 |
49 | 391.093296851959 | 322.334438551781 | 459.852155152136 |
50 | 389.11195622235 | 309.787493598912 | 468.436418845789 |
51 | 387.130615592742 | 297.095617992327 | 477.165613193158 |
52 | 385.149274963134 | 284.213658060242 | 486.084891866026 |
53 | 383.167934333526 | 271.114861336513 | 495.221007330538 |
54 | 381.186593703917 | 257.783170266717 | 504.590017141117 |
55 | 379.205253074309 | 244.209079421114 | 514.201426727504 |
56 | 377.223912444701 | 230.387254826051 | 524.060570063351 |