Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.225679028753479 |
beta | 0.000941496286975265 |
gamma | 0.443442884267471 |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
13 | 37702 | 41487.9961256583 | -3785.99612565827 |
14 | 30364 | 32384.2423306439 | -2020.24233064395 |
15 | 32609 | 34048.8239474295 | -1439.82394742945 |
16 | 30212 | 30953.0817784327 | -741.081778432705 |
17 | 29965 | 30167.161562525 | -202.161562524972 |
18 | 28352 | 28194.2876712472 | 157.71232875279 |
19 | 25814 | 22076.5443444741 | 3737.45565552587 |
20 | 22414 | 20801.9207532687 | 1612.07924673134 |
21 | 20506 | 21128.7820231166 | -622.782023116553 |
22 | 28806 | 26754.5259191583 | 2051.47408084169 |
23 | 22228 | 22076.067331 | 151.932668999951 |
24 | 13971 | 13470.8643970095 | 500.135602990518 |
25 | 36845 | 37059.4733194593 | -214.473319459285 |
26 | 35338 | 29795.4839704095 | 5542.51602959046 |
27 | 35022 | 33348.7244194945 | 1673.27558050553 |
28 | 34777 | 31163.7441308345 | 3613.25586916551 |
29 | 26887 | 31542.0186569777 | -4655.01865697772 |
30 | 23970 | 28668.3449958553 | -4698.34499585533 |
31 | 22780 | 22752.2259942237 | 27.7740057763112 |
32 | 17351 | 20061.3545527706 | -2710.35455277064 |
33 | 21382 | 18709.0425300723 | 2672.95746992771 |
34 | 24561 | 25498.99603427 | -937.996034270021 |
35 | 17409 | 20022.1189854634 | -2613.1189854634 |
36 | 11514 | 11945.6711210861 | -431.671121086054 |
37 | 31514 | 31811.1427395242 | -297.142739524152 |
38 | 27071 | 27135.2239715725 | -64.2239715724645 |
39 | 29462 | 27863.0241804414 | 1598.97581955856 |
40 | 26105 | 26585.9480635964 | -480.948063596363 |
41 | 22397 | 23768.4474504728 | -1371.44745047278 |
42 | 23843 | 21869.5638551768 | 1973.43614482318 |
43 | 21705 | 19509.1082062677 | 2195.89179373227 |
44 | 18089 | 16761.2809759647 | 1327.71902403535 |
45 | 20764 | 18040.7422278921 | 2723.25777210785 |
46 | 25316 | 23196.8285072118 | 2119.17149278816 |
47 | 17704 | 18102.3007276653 | -398.30072766529 |
48 | 15548 | 11461.223537871 | 4086.77646212899 |
49 | 28029 | 33585.8002125536 | -5556.80021255356 |
50 | 29383 | 27714.0486189848 | 1668.95138101521 |
51 | 36438 | 29460.2103780276 | 6977.78962197236 |
52 | 32034 | 28524.1330124567 | 3509.86698754333 |
53 | 22679 | 25984.1070779225 | -3305.10707792255 |
54 | 24319 | 24768.3603312266 | -449.360331226591 |
55 | 18004 | 21738.5190502818 | -3734.51905028182 |
56 | 17537 | 17326.1475284397 | 210.852471560305 |
57 | 20366 | 18790.723856744 | 1575.276143256 |
58 | 22782 | 23364.3485694364 | -582.34856943641 |
59 | 19169 | 17096.1467294069 | 2072.85327059313 |
60 | 13807 | 12536.4463062619 | 1270.55369373807 |
61 | 29743 | 29375.0615334871 | 367.938466512893 |
62 | 25591 | 27375.1673514991 | -1784.16735149907 |
63 | 29096 | 29845.1799392567 | -749.179939256737 |
64 | 26482 | 26329.5061513026 | 152.493848697366 |
65 | 22405 | 21403.1889229481 | 1001.81107705188 |
66 | 27044 | 22062.6515825361 | 4981.34841746389 |
67 | 17970 | 19291.1739870883 | -1321.17398708832 |
68 | 18730 | 16843.792592523 | 1886.20740747698 |
69 | 19684 | 19125.9670976018 | 558.032902398219 |
70 | 19785 | 22648.0790967238 | -2863.07909672385 |
71 | 18479 | 16985.5773885739 | 1493.42261142614 |
72 | 10698 | 12280.7803828343 | -1582.78038283435 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
73 | 26498.9818651457 | 23698.8806723052 | 29299.0830579861 |
74 | 23934.8633943198 | 20956.2883634228 | 26913.4384252168 |
75 | 26836.6936186312 | 23556.492578443 | 30116.8946588194 |
76 | 24042.2333148091 | 20686.8416091569 | 27397.6250204613 |
77 | 19769.007584474 | 16442.3106804036 | 23095.7044885444 |
78 | 21288.4567562019 | 17662.4973863148 | 24914.416126089 |
79 | 16072.1766150475 | 12656.4439046981 | 19487.909325397 |
80 | 15124.8889897857 | 11597.6008055926 | 18652.1771739788 |
81 | 16273.7807682917 | 12429.5244948386 | 20118.0370417449 |
82 | 18070.926523695 | 13805.659849378 | 22336.1931980121 |
83 | 15008.4341904276 | 11001.7108928524 | 19015.1574880027 |
84 | 9842.62588615917 | 7798.833920997 | 11886.4178513213 |