Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.265104594525292 |
beta | 0.0126902695364225 |
gamma | 0.68717139456287 |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
13 | 19684 | 19339.8654646862 | 344.134535313824 |
14 | 19785 | 19396.4130987381 | 388.586901261864 |
15 | 18479 | 18124.4957673802 | 354.504232619849 |
16 | 10698 | 10572.9582222105 | 125.041777789471 |
17 | 31956 | 31995.1982638565 | -39.1982638565387 |
18 | 29506 | 29720.8574988809 | -214.857498880861 |
19 | 34506 | 29970.3558420131 | 4535.64415798687 |
20 | 27165 | 28692.2494763723 | -1527.24947637234 |
21 | 26736 | 24200.5475130741 | 2535.4524869259 |
22 | 23691 | 30373.0773557657 | -6682.07735576571 |
23 | 18157 | 19113.1663297864 | -956.166329786385 |
24 | 17328 | 19509.3961197037 | -2181.39611970365 |
25 | 18205 | 19803.1752069484 | -1598.17520694841 |
26 | 20995 | 19351.6401973016 | 1643.35980269840 |
27 | 17382 | 18376.8009260429 | -994.800926042932 |
28 | 9367 | 10463.4408064360 | -1096.44080643596 |
29 | 31124 | 30455.379667643 | 668.620332356975 |
30 | 26551 | 28349.8478283896 | -1798.84782838963 |
31 | 30651 | 30306.9608789443 | 344.039121055735 |
32 | 25859 | 25317.5997310609 | 541.400268939062 |
33 | 25100 | 23516.8812648890 | 1583.11873511095 |
34 | 25778 | 24487.7068882972 | 1290.29311170276 |
35 | 20418 | 18318.7093273105 | 2099.29067268951 |
36 | 18688 | 18867.8912229154 | -179.891222915434 |
37 | 20424 | 20033.08152779 | 390.918472210011 |
38 | 24776 | 21867.0066651891 | 2908.99333481086 |
39 | 19814 | 19625.4192282421 | 188.580771757937 |
40 | 12738 | 11059.4621330622 | 1678.53786693783 |
41 | 31566 | 36866.8705042877 | -5300.8705042877 |
42 | 30111 | 31425.3228958095 | -1314.32289580948 |
43 | 30019 | 35155.5244637262 | -5136.52446372624 |
44 | 31934 | 28296.7893777186 | 3637.21062228137 |
45 | 25826 | 27649.7084603273 | -1823.70846032732 |
46 | 26835 | 27607.2036568489 | -772.203656848902 |
47 | 20205 | 20808.1006632482 | -603.100663248188 |
48 | 17789 | 19443.2014206495 | -1654.20142064947 |
49 | 20520 | 20517.6395999562 | 2.36040004378447 |
50 | 22518 | 23485.3185822666 | -967.318582266555 |
51 | 15572 | 18984.7634727226 | -3412.76347272255 |
52 | 11509 | 10843.7384176495 | 665.2615823505 |
53 | 25447 | 30360.7380569884 | -4913.73805698839 |
54 | 24090 | 27212.871033591 | -3122.871033591 |
55 | 27786 | 28104.9927413588 | -318.992741358776 |
56 | 26195 | 26966.4903567541 | -771.490356754064 |
57 | 20516 | 22943.5300978850 | -2427.53009788503 |
58 | 22759 | 23075.3574231874 | -316.357423187404 |
59 | 19028 | 17413.8301563736 | 1614.16984362635 |
60 | 16971 | 16274.9834314474 | 696.016568552579 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
61 | 18562.9901560897 | 15188.5260412029 | 21937.4542709765 |
62 | 20771.4839453073 | 17150.2173702942 | 24392.7505203204 |
63 | 15668.8282544461 | 12039.0447653552 | 19298.6117435370 |
64 | 10696.5920314013 | 7107.5959493806 | 14285.5881134220 |
65 | 26132.1212836756 | 20772.7175964003 | 31491.5249709509 |
66 | 25147.2297987469 | 19756.5352031782 | 30537.9243943157 |
67 | 28322.3779555886 | 22320.3390145045 | 34324.4168966727 |
68 | 27013.4137189941 | 21053.5338850375 | 32973.2935529507 |
69 | 22209.3515218447 | 16827.2288165714 | 27591.4742271181 |
70 | 24157.1202825232 | 18305.5607620116 | 30008.6798030348 |
71 | 19273.3810865490 | 14067.06714094 | 24479.6950321581 |
72 | 17173.255589687 | 13454.5718409271 | 20891.9393384469 |