Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.272554654406546 |
beta | 0.00487076338884115 |
gamma | 0.70455888173589 |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
13 | 19684 | 19339.8654646862 | 344.134535313824 |
14 | 19785 | 19398.2650313627 | 386.734968637258 |
15 | 18479 | 18127.0426576304 | 351.957342369627 |
16 | 10698 | 10574.3386406903 | 123.661359309668 |
17 | 31956 | 31996.5879679259 | -40.5879679259233 |
18 | 29506 | 29717.4998941825 | -211.499894182511 |
19 | 34506 | 29962.6849511905 | 4543.31504880952 |
20 | 27165 | 28706.3430014938 | -1541.34300149381 |
21 | 26736 | 24192.2071758607 | 2543.79282413933 |
22 | 23691 | 30373.4273873151 | -6682.42738731514 |
23 | 18157 | 19079.1179697570 | -922.117969757048 |
24 | 17328 | 19477.4696161048 | -2149.46961610479 |
25 | 18205 | 19770.2684824669 | -1565.26848246688 |
26 | 20995 | 19324.2509767584 | 1670.74902324159 |
27 | 17382 | 18374.3927816361 | -992.39278163606 |
28 | 9367 | 10461.7862917639 | -1094.78629176393 |
29 | 31124 | 30444.8745887772 | 679.125411222823 |
30 | 26551 | 28364.7051988498 | -1813.70519884984 |
31 | 30651 | 30358.3210085617 | 292.678991438297 |
32 | 25859 | 25323.6848347909 | 535.315165209082 |
33 | 25100 | 23576.0548430538 | 1523.94515694622 |
34 | 25778 | 24479.4150415233 | 1298.58495847671 |
35 | 20418 | 18378.5365959101 | 2039.46340408991 |
36 | 18688 | 18917.0586264496 | -229.058626449591 |
37 | 20424 | 20081.4043989695 | 342.595601030476 |
38 | 24776 | 21934.1863125973 | 2841.81368740273 |
39 | 19814 | 19649.8670652997 | 164.132934700316 |
40 | 12738 | 11062.5342039917 | 1675.46579600831 |
41 | 31566 | 36937.217983932 | -5371.21798393202 |
42 | 30111 | 31395.3813805006 | -1284.38138050062 |
43 | 30019 | 35153.946987579 | -5134.94698757902 |
44 | 31934 | 28243.0072775851 | 3690.99272241495 |
45 | 25826 | 27656.0316092446 | -1830.03160924464 |
46 | 26835 | 27552.0915144511 | -717.091514451073 |
47 | 20205 | 20803.1605363178 | -598.160536317813 |
48 | 17789 | 19417.1863121286 | -1628.18631212860 |
49 | 20520 | 20507.2835686475 | 12.7164313524845 |
50 | 22518 | 23520.0257811739 | -1002.02578117390 |
51 | 15572 | 18978.8641190882 | -3406.8641190882 |
52 | 11509 | 10844.768605237 | 664.231394763003 |
53 | 25447 | 30338.2051874438 | -4891.20518744384 |
54 | 24090 | 27230.2409035813 | -3140.24090358134 |
55 | 27786 | 28121.3150033911 | -335.315003391053 |
56 | 26195 | 27071.8651917856 | -876.86519178559 |
57 | 20516 | 22997.6051509559 | -2481.60515095589 |
58 | 22759 | 23130.5468843130 | -371.546884313033 |
59 | 19028 | 17479.637946904 | 1548.36205309599 |
60 | 16971 | 16336.7594453119 | 634.240554688129 |
61 | 20036 | 18664.9886128268 | 1371.01138717317 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
62 | 21336.5418553715 | 17910.9758511718 | 24762.1078595713 |
63 | 16085.1277203214 | 12543.8051440110 | 19626.4502966318 |
64 | 11027.1445939128 | 7451.99614218337 | 14602.2930456422 |
65 | 26883.0961539378 | 21743.7515991900 | 32022.4407086856 |
66 | 25935.8141318640 | 20762.5404747996 | 31109.0877889283 |
67 | 29267.20648433 | 23545.1851406956 | 34989.2278279644 |
68 | 27962.0320428745 | 22281.5454713333 | 33642.5186144158 |
69 | 22982.7663777064 | 17824.2638716797 | 28141.268883733 |
70 | 25045.3910148591 | 19464.8196005822 | 30625.9624291359 |
71 | 20017.5651818446 | 15009.6361438475 | 25025.4942198416 |
72 | 17835.4580831857 | 12988.8679906526 | 22682.0481757187 |
73 | 20502.6317188131 | 16323.9943350587 | 24681.2691025675 |