Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.225645293268414 |
beta | 0.000987392360328418 |
gamma | 0.443424096464601 |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
13 | 37702 | 41487.9961256583 | -3785.99612565827 |
14 | 30364 | 32384.3135659263 | -2020.31356592626 |
15 | 32609 | 34048.9003449235 | -1439.90034492352 |
16 | 30212 | 30953.1156725606 | -741.115672560583 |
17 | 29965 | 30167.1395456752 | -202.139545675152 |
18 | 28352 | 28194.2073966200 | 157.792603380043 |
19 | 25814 | 22076.4366659061 | 3737.56333409386 |
20 | 22414 | 20801.7144894324 | 1612.28551056765 |
21 | 20506 | 21128.5686532066 | -622.568653206636 |
22 | 28806 | 26754.3351088811 | 2051.66489111885 |
23 | 22228 | 22075.9028005779 | 152.09719942206 |
24 | 13971 | 13470.7919101912 | 500.208089808842 |
25 | 36845 | 37059.3137240151 | -214.313724015083 |
26 | 35338 | 29795.3958325938 | 5542.60416740621 |
27 | 35022 | 33348.5412928566 | 1673.45870714344 |
28 | 34777 | 31163.675580898 | 3613.32441910198 |
29 | 26887 | 31542.0050931576 | -4655.0050931576 |
30 | 23970 | 28668.5927624311 | -4698.59276243109 |
31 | 22780 | 22752.5747448407 | 27.4252551592508 |
32 | 17351 | 20061.652401461 | -2710.65240146099 |
33 | 21382 | 18709.3538920904 | 2672.64610790961 |
34 | 24561 | 25499.2125262368 | -938.212526236843 |
35 | 17409 | 20022.3003500512 | -2613.30035005117 |
36 | 11514 | 11945.8020671156 | -431.802067115581 |
37 | 31514 | 31811.4261592257 | -297.426159225743 |
38 | 27071 | 27135.3806512935 | -64.3806512935298 |
39 | 29462 | 27863.1439640992 | 1598.85603590077 |
40 | 26105 | 26585.9642618321 | -480.964261832112 |
41 | 22397 | 23768.4658044660 | -1371.46580446604 |
42 | 23843 | 21869.5517342642 | 1973.44826573577 |
43 | 21705 | 19509.0093190527 | 2195.99068094733 |
44 | 18089 | 16761.2059204831 | 1327.79407951686 |
45 | 20764 | 18040.6501136003 | 2723.34988639968 |
46 | 25316 | 23196.7451986704 | 2119.25480132960 |
47 | 17704 | 18102.2740810686 | -398.274081068615 |
48 | 15548 | 11461.2484194995 | 4086.75158050045 |
49 | 28029 | 33585.7321923070 | -5556.73219230705 |
50 | 29383 | 27714.3359364243 | 1668.66406357568 |
51 | 36438 | 29460.6067813543 | 6977.39321864572 |
52 | 32034 | 28524.4603321015 | 3509.53966789855 |
53 | 22679 | 25984.4778564577 | -3305.47785645768 |
54 | 24319 | 24768.9290462077 | -449.929046207748 |
55 | 18004 | 21739.111569185 | -3735.11156918499 |
56 | 17537 | 17326.7906944692 | 210.209305530821 |
57 | 20366 | 18791.3880695971 | 1574.61193040290 |
58 | 22782 | 23365.1325770413 | -583.132577041317 |
59 | 19169 | 17096.7342245373 | 2072.26577546265 |
60 | 13807 | 12536.8175875811 | 1270.18241241892 |
61 | 29743 | 29375.9445157708 | 367.055484229182 |
62 | 25591 | 27375.9606757846 | -1784.96067578459 |
63 | 29096 | 29846.2377203062 | -750.237720306224 |
64 | 26482 | 26330.5427575007 | 151.457242499258 |
65 | 22405 | 21404.0364779964 | 1000.96352200358 |
66 | 27044 | 22063.4126162718 | 4980.58738372821 |
67 | 17970 | 19291.7487681354 | -1321.74876813540 |
68 | 18730 | 16844.3884509957 | 1885.61154900430 |
69 | 19684 | 19126.6572632209 | 557.342736779075 |
70 | 19785 | 22649.0312084711 | -2864.03120847110 |
71 | 18479 | 16986.4154449644 | 1492.58455503558 |
72 | 10698 | 12281.3703145687 | -1583.37031456868 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
73 | 26500.4694000264 | 23700.5008901674 | 29300.4379098855 |
74 | 23936.4299306918 | 20958.0129138943 | 26914.8469474893 |
75 | 26838.7542875602 | 23558.7334559485 | 30118.7751191718 |
76 | 24044.3945150924 | 20689.1631270622 | 27399.6259031225 |
77 | 19771.0413341306 | 16444.4829297624 | 23097.5997384987 |
78 | 21290.8889617544 | 17665.0546426643 | 24916.7232808446 |
79 | 16074.2615858429 | 12658.6287597153 | 19489.8944119704 |
80 | 15127.0074091257 | 11599.8071980685 | 18654.2076201830 |
81 | 16276.3065960226 | 12432.0988042889 | 20120.5143877562 |
82 | 18074.0238746090 | 13808.7282152619 | 22339.3195339562 |
83 | 15011.1813023353 | 11004.4091627709 | 19017.9534418996 |
84 | 9844.60348053637 | 7800.6299601717 | 11888.5770009010 |