Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.225679028753381 |
beta | 0.00094149628695353 |
gamma | 0.443442884267109 |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
13 | 37702 | 41487.9961256582 | -3785.99612565825 |
14 | 30364 | 32384.2423306442 | -2020.24233064425 |
15 | 32609 | 34048.8239474299 | -1439.82394742995 |
16 | 30212 | 30953.0817784332 | -741.081778433225 |
17 | 29965 | 30167.1615625255 | -202.161562525485 |
18 | 28352 | 28194.2876712476 | 157.712328752361 |
19 | 25814 | 22076.5443444744 | 3737.45565552559 |
20 | 22414 | 20801.9207532685 | 1612.07924673147 |
21 | 20506 | 21128.7820231163 | -622.782023116299 |
22 | 28806 | 26754.5259191581 | 2051.47408084186 |
23 | 22228 | 22076.0673309998 | 151.932669000234 |
24 | 13971 | 13470.8643970093 | 500.135602990666 |
25 | 36845 | 37059.4733194597 | -214.473319459685 |
26 | 35338 | 29795.4839704095 | 5542.51602959053 |
27 | 35022 | 33348.7244194935 | 1673.27558050646 |
28 | 34777 | 31163.7441308335 | 3613.25586916654 |
29 | 26887 | 31542.0186569764 | -4655.01865697637 |
30 | 23970 | 28668.3449958547 | -4698.34499585466 |
31 | 22780 | 22752.2259942229 | 27.7740057771371 |
32 | 17351 | 20061.3545527706 | -2710.35455277056 |
33 | 21382 | 18709.042530073 | 2672.95746992701 |
34 | 24561 | 25498.9960342697 | -937.996034269712 |
35 | 17409 | 20022.1189854636 | -2613.11898546363 |
36 | 11514 | 11945.6711210862 | -431.671121086232 |
37 | 31514 | 31811.1427395255 | -297.14273952548 |
38 | 27071 | 27135.2239715721 | -64.2239715721189 |
39 | 29462 | 27863.024180442 | 1598.975819558 |
40 | 26105 | 26585.9480635962 | -480.948063596174 |
41 | 22397 | 23768.4474504742 | -1371.44745047418 |
42 | 23843 | 21869.5638551779 | 1973.43614482211 |
43 | 21705 | 19509.1082062669 | 2195.89179373314 |
44 | 18089 | 16761.2809759647 | 1327.71902403528 |
45 | 20764 | 18040.7422278911 | 2723.25777210893 |
46 | 25316 | 23196.8285072111 | 2119.17149278885 |
47 | 17704 | 18102.3007276653 | -398.300727665312 |
48 | 15548 | 11461.2235378706 | 4086.77646212937 |
49 | 28029 | 33585.8002125519 | -5556.80021255188 |
50 | 29383 | 27714.0486189832 | 1668.95138101676 |
51 | 36438 | 29460.2103780262 | 6977.78962197377 |
52 | 32034 | 28524.1330124552 | 3509.8669875448 |
53 | 22679 | 25984.1070779224 | -3305.1070779224 |
54 | 24319 | 24768.3603312258 | -449.360331225813 |
55 | 18004 | 21738.5190502803 | -3734.51905028026 |
56 | 17537 | 17326.1475284396 | 210.852471560382 |
57 | 20366 | 18790.723856743 | 1575.27614325702 |
58 | 22782 | 23364.3485694359 | -582.348569435911 |
59 | 19169 | 17096.1467294074 | 2072.85327059258 |
60 | 13807 | 12536.4463062609 | 1270.55369373915 |
61 | 29743 | 29375.0615334885 | 367.938466511536 |
62 | 25591 | 27375.1673514976 | -1784.16735149756 |
63 | 29096 | 29845.1799392545 | -749.179939254514 |
64 | 26482 | 26329.5061513019 | 152.493848698105 |
65 | 22405 | 21403.1889229496 | 1001.81107705045 |
66 | 27044 | 22062.6515825358 | 4981.3484174642 |
67 | 17970 | 19291.1739870878 | -1321.17398708778 |
68 | 18730 | 16843.7925925221 | 1886.20740747787 |
69 | 19684 | 19125.9670975998 | 558.032902400162 |
70 | 19785 | 22648.0790967229 | -2863.07909672288 |
71 | 18479 | 16985.5773885734 | 1493.42261142662 |
72 | 10698 | 12280.7803828333 | -1582.7803828333 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
73 | 26498.9818651467 | 23698.8806723079 | 29299.0830579855 |
74 | 23934.8633943198 | 20956.2883634246 | 26913.4384252151 |
75 | 26836.6936186301 | 23556.4925784439 | 30116.8946588164 |
76 | 24042.2333148082 | 20686.841609158 | 27397.6250204585 |
77 | 19769.0075844741 | 16442.3106804056 | 23095.7044885427 |
78 | 21288.4567562006 | 17662.4973863156 | 24914.4161260857 |
79 | 16072.1766150477 | 12656.4439047002 | 19487.9093253952 |
80 | 15124.8889897848 | 11597.6008055938 | 18652.1771739758 |
81 | 16273.7807682905 | 12429.5244948396 | 20118.0370417413 |
82 | 18070.9265236946 | 13805.6598493799 | 22336.1931980093 |
83 | 15008.4341904263 | 11001.7108928535 | 19015.157487999 |
84 | 9842.62588615847 | 7798.83392099744 | 11886.4178513195 |