Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.225679028753406 |
beta | 0.000941496287007171 |
gamma | 0.44344288426729 |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
13 | 37702 | 41487.9961256583 | -3785.99612565827 |
14 | 30364 | 32384.2423306442 | -2020.24233064415 |
15 | 32609 | 34048.8239474297 | -1439.82394742974 |
16 | 30212 | 30953.0817784330 | -741.081778432963 |
17 | 29965 | 30167.1615625252 | -202.161562525176 |
18 | 28352 | 28194.2876712473 | 157.712328752677 |
19 | 25814 | 22076.5443444742 | 3737.45565552585 |
20 | 22414 | 20801.9207532684 | 1612.07924673158 |
21 | 20506 | 21128.7820231163 | -622.782023116251 |
22 | 28806 | 26754.5259191581 | 2051.47408084193 |
23 | 22228 | 22076.0673309998 | 151.932669000216 |
24 | 13971 | 13470.8643970094 | 500.135602990642 |
25 | 36845 | 37059.4733194593 | -214.473319459335 |
26 | 35338 | 29795.4839704094 | 5542.51602959057 |
27 | 35022 | 33348.7244194939 | 1673.27558050609 |
28 | 34777 | 31163.744130834 | 3613.25586916602 |
29 | 26887 | 31542.0186569771 | -4655.01865697711 |
30 | 23970 | 28668.3449958553 | -4698.34499585526 |
31 | 22780 | 22752.2259942236 | 27.7740057763876 |
32 | 17351 | 20061.3545527709 | -2710.35455277087 |
33 | 21382 | 18709.0425300729 | 2672.95746992712 |
34 | 24561 | 25498.9960342701 | -937.996034270062 |
35 | 17409 | 20022.1189854637 | -2613.11898546367 |
36 | 11514 | 11945.6711210862 | -431.671121086243 |
37 | 31514 | 31811.142739525 | -297.142739524981 |
38 | 27071 | 27135.2239715724 | -64.2239715724318 |
39 | 29462 | 27863.0241804418 | 1598.97581955821 |
40 | 26105 | 26585.9480635963 | -480.94806359629 |
41 | 22397 | 23768.4474504734 | -1371.44745047344 |
42 | 23843 | 21869.5638551773 | 1973.4361448227 |
43 | 21705 | 19509.1082062673 | 2195.89179373275 |
44 | 18089 | 16761.2809759646 | 1327.71902403538 |
45 | 20764 | 18040.7422278916 | 2723.25777210841 |
46 | 25316 | 23196.8285072115 | 2119.17149278854 |
47 | 17704 | 18102.3007276653 | -398.30072766529 |
48 | 15548 | 11461.2235378709 | 4086.77646212913 |
49 | 28029 | 33585.8002125528 | -5556.80021255277 |
50 | 29383 | 27714.0486189844 | 1668.95138101564 |
51 | 36438 | 29460.2103780274 | 6977.78962197263 |
52 | 32034 | 28524.1330124563 | 3509.86698754368 |
53 | 22679 | 25984.1070779228 | -3305.10707792285 |
54 | 24319 | 24768.3603312268 | -449.36033122677 |
55 | 18004 | 21738.5190502817 | -3734.51905028165 |
56 | 17537 | 17326.1475284402 | 210.852471559763 |
57 | 20366 | 18790.7238567441 | 1575.27614325586 |
58 | 22782 | 23364.3485694369 | -582.348569436886 |
59 | 19169 | 17096.1467294077 | 2072.85327059235 |
60 | 13807 | 12536.4463062618 | 1270.55369373823 |
61 | 29743 | 29375.0615334885 | 367.938466511467 |
62 | 25591 | 27375.1673514991 | -1784.16735149911 |
63 | 29096 | 29845.1799392567 | -749.179939256675 |
64 | 26482 | 26329.5061513032 | 152.493848696766 |
65 | 22405 | 21403.1889229495 | 1001.81107705046 |
66 | 27044 | 22062.6515825367 | 4981.34841746334 |
67 | 17970 | 19291.1739870886 | -1321.17398708861 |
68 | 18730 | 16843.7925925232 | 1886.20740747683 |
69 | 19684 | 19125.9670976015 | 558.03290239846 |
70 | 19785 | 22648.0790967243 | -2863.07909672429 |
71 | 18479 | 16985.5773885744 | 1493.42261142559 |
72 | 10698 | 12280.7803828344 | -1582.78038283441 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
73 | 26498.9818651475 | 23698.8806723079 | 29299.0830579871 |
74 | 23934.8633943212 | 20956.2883634252 | 26913.4384252173 |
75 | 26836.6936186326 | 23556.4925784454 | 30116.8946588198 |
76 | 24042.2333148107 | 20686.8416091595 | 27397.6250204618 |
77 | 19769.0075844759 | 16442.3106804065 | 23095.7044885453 |
78 | 21288.4567562036 | 17662.4973863175 | 24914.4161260896 |
79 | 16072.1766150495 | 12656.4439047010 | 19487.909325398 |
80 | 15124.8889897872 | 11597.6008055951 | 18652.1771739793 |
81 | 16273.7807682934 | 12429.5244948414 | 20118.0370417455 |
82 | 18070.9265236976 | 13805.6598493816 | 22336.1931980137 |
83 | 15008.4341904295 | 11001.7108928553 | 19015.1574880036 |
84 | 9842.62588616064 | 7798.8339209988 | 11886.4178513225 |