Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.0545658791491502
beta0.25774916210425
gamma0.484979752162203


Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
1387.687.43747329059830.162526709401661
1485.485.4574707694395-0.0574707694395045
1586.186.3438222724077-0.243822272407698
1686.786.9249094831851-0.224909483185087
1789.189.1038654903233-0.00386549032332084
18103.7103.728161925143-0.0281619251432375
1986.989.263236525602-2.36323652560203
2085.287.7751584373825-2.57515843738254
2180.882.160132151459-1.36013215145903
2291.289.10060885663352.09939114336653
23102.899.05521731223563.74478268776444
24182.5185.839775787221-3.33977578722073
2580.986.181975289146-5.28197528914602
2683.183.668516015986-0.568516015986035
2788.384.29884890520854.00115109479145
2886.685.03725350441381.56274649558621
299387.3572638364855.64273616351507
30105.3102.3001043025522.99989569744844
3193.886.9938976183996.80610238160105
3286.486.10210341884660.297896581153410
338781.4344854498095.56551455019095
3496.790.67004684042986.0299531595702
35100.5101.979782024187-1.47978202418733
36196.7185.54360448879811.1563955112018
3786.886.30288187253090.497118127469122
3888.286.86385316069711.3361468393029
3993.890.31806160415133.48193839584873
408590.5274626381015-5.52746263810151
4190.494.8489890207248-4.44898902072482
42115.9108.4051041189657.49489588103494
4394.995.5283225539246-0.628322553924605
4487.791.5811265114215-3.8811265114215
4591.789.3763738762032.323626123797
4695.998.8780047194497-2.97800471944967
47106.8106.3561984927840.443801507216449
48204.5195.9492540767078.55074592329348
4990.291.7726280734287-1.57262807342873
5090.592.6699904442213-2.16999044422133
5193.296.9320728302648-3.73207283026477
5297.892.53072550724535.26927449275469
5399.498.00158053056561.3984194694344
54120117.5011688922192.49883110778102
55108.2100.7048146439647.49518535603633
5698.595.90134340636142.59865659363864
57104.397.1782028177127.12179718228789
58102.9104.86130443706-1.96130443705988
59111.1114.328767906606-3.22876790660592
60188.1207.751779632248-19.6517796322481
6193.897.3110620246897-3.51106202468972
6294.597.7180259149318-3.21802591493179
63112.4101.08121534712711.3187846528730
64102.5101.7146110586330.785388941367344
65115.8105.18909998190110.6109000180992
66136.5125.84865100086410.6513489991358
67122.1112.05543475352810.0445652464716
68110.6105.4491674747525.15083252524811
69116.4109.2783509388397.12164906116134
70112.6113.135819450739-0.535819450739439
71121.5122.459087510953-0.959087510953069
72199.3208.866822068269-9.56682206826866
73102.1106.910116854964-4.81011685496409
74100.6107.895222227845-7.2952222278455
75119118.1586227258190.841377274181042
76106.8113.700537986824-6.90053798682369
77121.3121.462661551200-0.162661551199690
78145.5141.6032335060103.89676649398976
79129.7127.1185719540112.58142804598928
80117.7117.711596156171-0.0115961561713505
81121.3121.940513740341-0.640513740340609
82124.3121.5319634810982.76803651890198
83135.2130.556505855044.64349414495996
84210.1213.11703099708-3.01703099708001
85106.8113.584734859316-6.78473485931625
86110.5113.180846833161-2.68084683316064
87111.5127.349912094680-15.8499120946802
88122.1118.1196188130763.98038118692401
89126.3129.406290293180-3.10629029318035
90143.2151.047548918185-7.84754891818466
91137.3134.953762529272.34623747073013
92121.5123.976519736902-2.47651973690213
93121.9127.379410643105-5.47941064310531
94123.9127.798485263545-3.89848526354541
95131.6136.754218408707-5.15421840870664
96220.9214.5648755388856.33512446111544


Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
97113.244094803911102.467369407242124.020820200579
98114.616305249382103.814229925541125.418380573224
99122.455308528548111.616534345608133.294082711489
100122.967200226293112.078383074296133.85601737829
101130.516148052962119.562029371918141.470266734005
102149.925471584574138.888982000064160.961961169083
103138.816794562731127.679180679348149.954408446115
104125.350098416348114.091071668384136.609125164312
105127.395963051111115.993868135220138.798057967002
106128.800685877624117.232685024923140.368686730326
107137.409977678774125.652245996318149.167709361230
108220.859030615277208.886957049244232.831104181309