Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.783130982224961
beta0.234826889608407
gamma1


Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
1386.8786.16859241452990.701407585470108
1487.3287.31727024356460.00272975643538587
1587.1387.282627154211-0.152627154211018
1687.4287.5578344220358-0.137834422035809
1787.2287.294695223874-0.0746952238740164
1887.1787.1868491537599-0.0168491537598925
1987.5287.850788903725-0.330788903724994
2087.4987.6680405591827-0.178040559182691
2187.5387.44550581236340.0844941876366505
2287.9387.43994199210140.490058007898568
2388.5488.10335953664990.436640463350145
2488.9688.70690908782340.253090912176575
2589.389.4632890120717-0.163289012071672
2690.0189.82242488456630.18757511543366
2790.5289.97199123673030.548008763269664
2890.6491.0010867929312-0.361086792931161
2991.2590.73773903249860.512260967501362
3091.5991.37097728025770.219022719742256
3192.0992.4638044034828-0.373804403482779
3291.8192.584837718757-0.774837718756984
3392.0392.1464592011992-0.116459201199234
3492.1592.2291123349036-0.0791123349035701
3591.9892.4881753437127-0.508175343712708
3692.1192.1912173294018-0.0812173294018379
3792.2892.4132240265248-0.133224026524772
3892.5392.695259056284-0.165259056284029
3991.9792.4050534258347-0.435053425834653
4092.0592.0447190159390.00528098406100241
4191.8791.9026535476405-0.0326535476404928
4291.4991.5903144340195-0.100314434019523
4391.4891.7905231007876-0.310523100787549
4491.6391.37180990699930.258190093000707
4591.4691.5728510544554-0.112851054455433
4691.6191.35473443452690.25526556547311
4791.791.53240604726680.167593952733185
4891.8791.73132937205290.138670627947064
4992.2192.02876744301950.181232556980461
5092.6592.52245333619160.12754666380836
5192.8392.42922750694550.400772493054532
5293.0292.99884233507080.0211576649291487
5393.3393.04379646203970.286203537960318
5493.3593.2079414461650.142058553835042
5593.4593.8383953909897-0.388395390989714
5693.5193.7537367641905-0.24373676419053
5793.893.66063415233380.139365847666156
5893.9493.9456502770051-0.0056502770051452
5994.0294.0777756587908-0.0577756587907743
6094.2694.23028527139070.0297147286093065
6194.7194.56794273865670.142057261343268
6295.2695.12841786497910.131582135020878
6395.5495.20746010732330.332539892676692
6495.6995.7386187392999-0.0486187392998687
6596.0395.87088270697150.159117293028473
6696.495.96534441320910.43465558679091
6796.5596.8248122695166-0.274812269516602
6896.4596.9962751743638-0.546275174363799
6996.6596.8294906651997-0.179490665199722
7096.8496.8548753085739-0.014875308573906
7197.2196.98829985404060.221700145959375
7297.3197.4498731945078-0.139873194507814
7397.9197.71912107656840.190878923431612
7498.5198.36457289963270.145427100367343
7598.5498.5495998377901-0.00959983779013385
7698.5298.7187979422303-0.198797942230314
7798.6698.7395266389006-0.0795266389005604
7898.5398.6239911440198-0.0939911440197676
7998.7198.7355160599592-0.0255160599592017
8098.9298.90910257301340.0108974269866025
8198.9699.2264294628447-0.266429462844712
8299.2599.17166962374150.0783303762584922
8399.3299.3987728732546-0.0787728732545929
8499.4199.4607459337846-0.0507459337845688
8599.3699.802036050161-0.442036050160993
8699.5899.7560962859327-0.176096285932687
8799.7799.41070036969530.359299630304676
8899.7799.65059717123740.11940282876256
89100.0399.8277354914980.202264508501969
90100.299.86291441445080.33708558554919
91100.24100.339326042321-0.0993260423207829
92100.1100.461880002148-0.361880002147899
93100.03100.357449252648-0.327449252647511
94100.18100.248768626069-0.0687686260691294
95100.29100.218649696950.0713503030501812
96100.41100.323921161840.0860788381604749
97100.6100.632320516735-0.0323205167346288
98100.75100.985078773512-0.235078773511603
99100.79100.718918735730.0710812642696368
100100.44100.637389308058-0.197389308057794
101100.29100.48246256739-0.192462567390095
102100.34100.0632211542680.276778845731641
103100.46100.2121342744130.247865725586905
104100.12100.427867414796-0.307867414796164
105100.06100.261357854724-0.201357854724222
106100.28100.2188666527720.0611333472279085
107100.28100.2560979695620.0239020304383644
108100.4100.253912169070.146087830929559


Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
109100.521171724161100.014341860153101.028001588168
110100.79875539541100.093706171058101.503804619762
111100.76980669200799.854730679871101.684882704143
112100.5480337519999.4100265594522101.686040944527
113100.55870246445399.1848182054498101.932586723457
114100.4372875952498.8148722260655102.059702964415
115100.35761579760198.4744121042124102.240819490991
116100.20757328038698.0517425169328102.36340404384
117100.31073670984497.8708480277015102.750625391986
118100.52536489880697.7903726841716103.26035711344
119100.53790764989697.4971251945432103.578690105248
120100.57036732655197.2134404398297103.927294213273