Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.0156062249385643 |
beta | 1 |
gamma | 0.313491651460045 |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
13 | 2211 | 2276.26681993523 | -65.2668199352343 |
14 | 3260 | 3323.71049690156 | -63.7104969015568 |
15 | 2992 | 3055.04593064689 | -63.045930646891 |
16 | 2425 | 2473.07038613882 | -48.0703861388201 |
17 | 2707 | 2752.03654662645 | -45.0365466264516 |
18 | 3244 | 3289.65646864753 | -45.6564686475263 |
19 | 3965 | 3272.71927701647 | 692.280722983529 |
20 | 3315 | 3374.47086448734 | -59.470864487339 |
21 | 3333 | 3556.92822037387 | -223.928220373865 |
22 | 3583 | 3489.4402414875 | 93.5597585125006 |
23 | 4021 | 4217.26237589806 | -196.262375898061 |
24 | 4904 | 4948.64173614133 | -44.6417361413278 |
25 | 2252 | 2189.35117534144 | 62.6488246585627 |
26 | 2952 | 3210.91664934567 | -258.916649345669 |
27 | 3573 | 2945.99230997926 | 627.007690020735 |
28 | 3048 | 2402.14743560913 | 645.852564390869 |
29 | 3059 | 2708.55197095952 | 350.44802904048 |
30 | 2731 | 3280.09895575317 | -549.098955753175 |
31 | 3563 | 3508.60084811143 | 54.3991518885664 |
32 | 3092 | 3383.12933864106 | -291.129338641063 |
33 | 3478 | 3524.16402651301 | -46.1640265130113 |
34 | 3478 | 3572.81736273739 | -94.8173627373935 |
35 | 4308 | 4231.82498500883 | 76.1750149911659 |
36 | 5029 | 5051.29014667762 | -22.2901466776157 |
37 | 2075 | 2271.05705166955 | -196.057051669549 |
38 | 3264 | 3222.16360747408 | 41.8363925259214 |
39 | 3308 | 3248.4792521712 | 59.5207478288025 |
40 | 3688 | 2686.29719426701 | 1001.70280573299 |
41 | 3136 | 2921.83514217467 | 214.164857825328 |
42 | 2824 | 3229.51986826372 | -405.519868263715 |
43 | 3644 | 3671.9251322385 | -27.9251322385007 |
44 | 4694 | 3435.84149917003 | 1258.15850082997 |
45 | 2914 | 3721.06370512982 | -807.063705129816 |
46 | 3686 | 3766.24011535297 | -80.2401153529672 |
47 | 4358 | 4549.18454023505 | -191.184540235055 |
48 | 5587 | 5413.44581144099 | 173.554188559006 |
49 | 2265 | 2386.11096635507 | -121.110966355073 |
50 | 3685 | 3514.38288061765 | 170.61711938235 |
51 | 3754 | 3573.31408236988 | 180.685917630124 |
52 | 3708 | 3298.28856787069 | 409.71143212931 |
53 | 3210 | 3288.50797855588 | -78.5079785558796 |
54 | 3517 | 3415.72129054443 | 101.278709455568 |
55 | 3905 | 4055.61560689415 | -150.615606894152 |
56 | 3670 | 4242.58382502998 | -572.583825029978 |
57 | 4221 | 3805.82354514974 | 415.176454850255 |
58 | 4404 | 4125.23900564378 | 278.760994356218 |
59 | 5086 | 4966.82886783347 | 119.171132166525 |
60 | 5725 | 6070.85593031182 | -345.855930311815 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
61 | 2608.25832413041 | 2372.04975929184 | 2844.46688896897 |
62 | 3973.02070216371 | 3734.32893567592 | 4211.7124686515 |
63 | 4044.76658112666 | 3801.81697604499 | 4287.71618620832 |
64 | 3816.11659730582 | 3568.14535718889 | 4064.08783742275 |
65 | 3625.83434276197 | 3371.61642696709 | 3880.05225855686 |
66 | 3826.70275338101 | 3559.7693844659 | 4093.63612229613 |
67 | 4442.72845401975 | 4148.74070153947 | 4736.71620650003 |
68 | 4504.44190053761 | 4188.65958374029 | 4820.22421733494 |
69 | 4373.45643443192 | 4039.82273876701 | 4707.09013009683 |
70 | 4672.2666504041 | 4300.56073253927 | 5043.97256826894 |
71 | 5537.88953437882 | 5088.00851222836 | 5987.77055652928 |
72 | 6586.9807246429 | 6079.9787570962 | 7093.9826921896 |