Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0 |
beta | 0 |
gamma | 0.689793581003217 |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
13 | 48481 | 44449.8456196582 | 4031.15438034176 |
14 | 50730 | 48323.6072746699 | 2406.39272533011 |
15 | 68694 | 63239.7855963482 | 5454.21440365177 |
16 | 207716 | 203795.04725136 | 3920.95274864012 |
17 | 99132 | 96684.3505730382 | 2447.64942696178 |
18 | 104012 | 101130.98722805 | 2881.01277195013 |
19 | 422632 | 531762.040549728 | -109130.040549728 |
20 | 364974 | 291666.093871407 | 73307.9061285935 |
21 | 82687 | 77162.8555264182 | 5524.14447358181 |
22 | 66834 | 99403.9088480965 | -32569.9088480965 |
23 | 28408 | 16368.1705031082 | 12039.8294968918 |
24 | 97073 | 81749.6404914532 | 15323.3595085468 |
25 | 40284 | 47011.1498953909 | -6727.14989539092 |
26 | 24421 | 49764.1613901154 | -25343.1613901154 |
27 | 116346 | 66782.7075415424 | 49563.2924584576 |
28 | 72120 | 206280.335148929 | -134160.335148929 |
29 | 108751 | 98153.3632964426 | 10597.6367035574 |
30 | 91738 | 102898.931205069 | -11160.9312050693 |
31 | 402216 | 456265.478944045 | -54049.4789440448 |
32 | 390070 | 342014.056815837 | 48055.9431841634 |
33 | 106045 | 80754.0147849692 | 25290.9852150308 |
34 | 110070 | 76718.0346509596 | 33351.9653490404 |
35 | 70668 | 24453.8074665773 | 46214.1925334227 |
36 | 167841 | 92100.2353799933 | 75740.7646200067 |
37 | 28607 | 42151.4449392437 | -13544.4449392437 |
38 | 95371 | 32063.2512010251 | 63307.7487989749 |
39 | 30605 | 100751.788392912 | -70146.7883929115 |
40 | 131063 | 113518.036998097 | 17544.9630019027 |
41 | 81214 | 105244.184928501 | -24030.1849285005 |
42 | 85451 | 94980.832361934 | -9529.83236193392 |
43 | 455196 | 418763.135172014 | 36432.864827986 |
44 | 454570 | 374943.377813468 | 79626.6221865322 |
45 | 63114 | 97980.2139036847 | -34866.2139036847 |
46 | 74287 | 99504.6461227093 | -25217.6461227093 |
47 | 42350 | 56112.700687519 | -13762.700687519 |
48 | 113375 | 144126.368495289 | -30751.3684952894 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
49 | 32589.2136220418 | -58624.6790742502 | 123803.106318334 |
50 | 75513.169810462 | -15700.7228858299 | 166727.062506754 |
51 | 52145.6238916301 | -39068.2688046619 | 143359.516587922 |
52 | 125401.079715889 | 34187.1870195966 | 216614.972412181 |
53 | 88448.9574746405 | -2764.93522165153 | 179662.850170932 |
54 | 88187.855030775 | -3026.03766551698 | 179401.747727067 |
55 | 443674.931328056 | 352461.038631764 | 534888.824024348 |
56 | 429649.950534846 | 338436.057838554 | 520863.843231138 |
57 | 73710.3632191777 | -17503.5294771143 | 164924.255915470 |
58 | 81890.3155593935 | -9323.57713689846 | 173104.208255686 |
59 | 46399.9179561396 | -44813.9747401524 | 137613.810652432 |
60 | 122694.911760314 | 31481.019064022 | 213908.804456606 |