Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.276932709155431 |
beta | 0 |
gamma | 0.577138618850172 |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
13 | 37702 | 40678.2345328283 | -2976.23453282829 |
14 | 30364 | 32460.6011739035 | -2096.60117390354 |
15 | 32609 | 34167.0670641293 | -1558.06706412932 |
16 | 30212 | 31322.1289976808 | -1110.1289976808 |
17 | 29965 | 30682.1979668410 | -717.197966841046 |
18 | 28352 | 28822.4157242163 | -470.415724216327 |
19 | 25814 | 22246.8088899464 | 3567.19111005355 |
20 | 22414 | 21276.2641214621 | 1137.73587853791 |
21 | 20506 | 21938.2570672756 | -1432.25706727559 |
22 | 28806 | 27765.7432374279 | 1040.25676257205 |
23 | 22228 | 23220.1160275709 | -992.116027570948 |
24 | 13971 | 14690.4083149259 | -719.408314925868 |
25 | 36845 | 37684.0013503702 | -839.001350370214 |
26 | 35338 | 30425.3176144172 | 4912.68238558284 |
27 | 35022 | 34297.6190903654 | 724.380909634558 |
28 | 34777 | 32271.6945850968 | 2505.30541490321 |
29 | 26887 | 32796.9696720100 | -5909.96967200996 |
30 | 23970 | 29602.1238049251 | -5632.12380492505 |
31 | 22780 | 23282.0051084644 | -502.00510846444 |
32 | 17351 | 20170.7307045642 | -2819.73070456416 |
33 | 21382 | 18664.2878039455 | 2717.7121960545 |
34 | 24561 | 26672.8410937893 | -2111.84109378929 |
35 | 17409 | 20406.1652789812 | -2997.16527898118 |
36 | 11514 | 11434.9975164177 | 79.0024835822751 |
37 | 31514 | 34599.7892408052 | -3085.78924080518 |
38 | 27071 | 29119.1319184530 | -2048.13191845304 |
39 | 29462 | 29315.9359011925 | 146.064098807492 |
40 | 26105 | 27873.0542625796 | -1768.05426257959 |
41 | 22397 | 23703.117345793 | -1306.11734579302 |
42 | 23843 | 21899.1766507487 | 1943.82334925126 |
43 | 21705 | 19817.9356526928 | 1887.06434730720 |
44 | 18089 | 16401.0625235913 | 1687.93747640872 |
45 | 20764 | 18453.7709999718 | 2310.22900002819 |
46 | 25316 | 24334.0577029644 | 981.94229703558 |
47 | 17704 | 18554.6970174236 | -850.697017423641 |
48 | 15548 | 11461.6722717514 | 4086.32772824861 |
49 | 28029 | 34415.5240158981 | -6386.52401589813 |
50 | 29383 | 28453.8101070086 | 929.189892991424 |
51 | 36438 | 30390.7919513100 | 6047.20804868996 |
52 | 32034 | 29783.3492502608 | 2250.65074973920 |
53 | 22679 | 26919.0941211718 | -4240.09412117184 |
54 | 24319 | 25658.8722276831 | -1339.87222768305 |
55 | 18004 | 22644.5824150959 | -4640.58241509589 |
56 | 17537 | 17336.8927377133 | 200.107262286729 |
57 | 20366 | 19237.260873683 | 1128.73912631699 |
58 | 22782 | 24236.0469846087 | -1454.04698460875 |
59 | 19169 | 17017.3023699997 | 2151.69763000032 |
60 | 13807 | 12816.0089888519 | 990.99101114807 |
61 | 29743 | 30542.2343858723 | -799.234385872296 |
62 | 25591 | 29180.7447235738 | -3589.74472357377 |
63 | 29096 | 32002.0862132317 | -2906.08621323174 |
64 | 26482 | 27330.8419313555 | -848.841931355491 |
65 | 22405 | 20899.582781307 | 1505.41721869300 |
66 | 27044 | 22440.7726739988 | 4603.22732600125 |
67 | 17970 | 19694.9019632502 | -1724.90196325023 |
68 | 18730 | 17214.7280603941 | 1515.27193960594 |
69 | 19684 | 19866.8357300826 | -182.835730082639 |
70 | 19785 | 23424.5812421143 | -3639.58124211433 |
71 | 18479 | 17105.3041973411 | 1373.69580265894 |
72 | 10698 | 12204.1821164803 | -1506.1821164803 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
73 | 28491.7795305358 | 23325.3667810814 | 33658.1922799902 |
74 | 26187.1159822807 | 20826.2520144948 | 31547.9799500666 |
75 | 30287.8727757260 | 24739.3680884714 | 35836.3774629805 |
76 | 27279.9275516323 | 21549.9235334953 | 33009.9315697693 |
77 | 22066.1965187291 | 16160.2683248509 | 27972.1247126074 |
78 | 24483.2344568724 | 18406.4730155596 | 30559.9958981853 |
79 | 17821.7875338443 | 11578.8658301860 | 24064.7092375025 |
80 | 17171.4525626484 | 10766.6798749266 | 23576.2252503703 |
81 | 18695.2944595905 | 12132.6612255321 | 25257.9276936489 |
82 | 20861.1384970406 | 14144.3537939146 | 27577.9232001667 |
83 | 17641.8714780249 | 10774.3946100968 | 24509.3483459531 |
84 | 11158.5260767370 | 4143.59341028116 | 18173.4587431928 |