Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.044152333311505
beta0.0411060207296206
gamma0.391529447629937


Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
13246244.8835470085471.116452991453
14294292.9232122818721.07678771812766
15242241.2964138649730.703586135027251
16181180.5710813513330.428918648667434
17107106.7927334165380.207266583462172
185654.46330853287661.53669146712342
194945.48703650887493.51296349112512
204750.8960639439936-3.89606394399364
214750.6375611263622-3.6375611263622
227169.46720323771591.53279676228412
23151152.236243961055-1.23624396105518
24244206.00578138321737.9942186167833
25280250.03588282329129.964117176709
26230299.458150625152-69.4581506251521
27185244.573141734302-59.5731417343023
28148180.970000477811-32.970000477811
2998105.459785803668-7.45978580366759
306153.10117992828457.89882007171549
314644.96877248176131.03122751823871
324547.3143050519288-2.31430505192876
335547.04410668481637.95589331518374
344868.1633592013522-20.1633592013522
35115148.741558965934-33.7415589659343
36185215.502010561893-30.5020105618933
37276253.12271564706722.8772843529332
38220264.631259509793-44.6312595097933
39181214.194080521376-33.1940805213758
40151161.411812963677-10.4118129636765
418396.1856933704142-13.1856933704142
425549.05281813300275.94718186699728
434937.991253778398311.0087462216017
444239.27054258264322.72945741735676
454642.82100296645053.17899703354955
467452.951675102482121.0483248975179
47103130.088473867801-27.0884738678009
48200198.1876728142391.81232718576103
49237257.103202118011-20.1032021180114
50247241.2627535036225.73724649637796
51215197.23441840727917.7655815927213
52182155.22539812651626.7746018734844
538090.6676984903715-10.6676984903715
544650.8755607483303-4.87556074833033
556541.279984026638123.7200159733619
564040.0946976874145-0.0946976874144525
574443.7562306850860.243769314914047
586360.5069693560182.493030643982
5985118.838197336475-33.838197336475
60185197.471563380981-12.4715633809811
61247247.545053542196-0.545053542196484
62231242.264584377804-11.2645843778045
63167201.982083238645-34.9820832386445
64117160.914945841015-43.9149458410148
657978.99459796274480.00540203725520882
664541.63169822838613.3683017716139
674042.907081211191-2.90708121119104
683831.39063554242536.60936445757473
694135.24397197915695.75602802084309
706952.858997995064616.1410020049354
7115298.000034969397553.9999650306025
72232188.47129249053643.5287075094638
73282245.54569758610536.4543024138949
74255238.01924866679416.9807513332064
75161190.291128402667-29.2911284026666
76107146.325911371468-39.3259113714676
775381.2470783623455-28.2470783623455
784044.0460666540904-4.04606665409037
793942.7828772869157-3.78287728691575
803434.9249365638231-0.92493656382311
813538.2483019397091-3.24830193970914
825659.4579629762814-3.45796297628142
8397117.972221019114-20.9722210191138
84210201.1485506753818.85144932461907
85260253.9154528834876.08454711651328
86257237.57628099692219.4237190030777
87210172.45955610240337.5404438975968
88125127.631397992206-2.63139799220554
898068.327212903423311.6727870965767
904242.0265846457346-0.0265846457346299
913541.1274374064466-6.12743740644662
923134.3193625547326-3.31936255473261
933236.7469814055377-4.74698140553774
945057.8887632378853-7.88876323788527
9592109.721524723874-17.7215247238743
96189204.27727868341-15.2772786834099
97256254.9741702135441.02582978645646
98250243.4253694940566.5746305059435
99198184.51969597244913.4803040275514
100136123.54986829036812.4501317096322
1017370.24682655683932.75317344316068
1023939.1398103776277-0.139810377627725
1033235.9180960853078-3.91809608530775
1043030.2281101496311-0.228110149631149
1053132.2331901068143-1.23319010681435
1064552.3359537423806-7.33595374238064


Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
107100.49591707185460.0372900899317140.954544053776
108196.763653080239156.262304337266237.265001823212
109254.278910081635213.731450004584294.826370158686
110244.802073633741204.204991384778285.399155882703
111188.219238894046147.56890385172228.869573936372
112126.27295177304685.5656151095006166.980288436592
11368.772859317357428.0046556721995109.541062962515
11436.4382754088359-4.3947753400512377.2713261577231
11531.785661519383-9.1163293493994272.6876523881653
11627.633651891176-13.341483043631868.6087868259838
11729.2571074306278-11.795484386634970.3096992478905
11847.11709149375625.982623261341488.251559726171