Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.74849268925821
beta0
gamma0.105416678642104


Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
1374.2973.94036110992980.349638890070239
1463.9864.6912005135862-0.711200513586213
1561.1862.1791200456466-0.999120045646642
1676.4877.2457571681103-0.765757168110298
17107.98108.403843873499-0.423843873499322
18124.97125.327597717670-0.357597717670401
19145.57150.560664175104-4.99066417510409
20140.2155.995349759207-15.7953497592069
21143.84135.4959705829618.34402941703857
22138.8129.8738282842238.92617171577743
23104.0698.94153926662725.11846073337283
2474.781.0765682372002-6.37656823720023
2560.1864.1470623862881-3.96706238628814
2655.1653.24261328706181.91738671293820
2735.6252.924864229907-17.3048642299070
2856.1850.09589687194596.08410312805406
2985.4477.07443901351758.36556098648252
30114.0896.441063137869417.6389368621306
31133.64131.7676745315781.87232546842216
3267.14141.103337539617-73.963337539617
3395.5880.52966211061215.0503378893880
3489.3783.78936214151265.58063785848745
3575.2463.464087366812211.7759126331878
3669.1856.655976711052812.5240232889472
3754.4955.4764753113273-0.98647531132729
3857.547.72248156231759.77751843768252
3962.1652.61814783501139.54185216498865
4076.6776.2462334895180.423766510482011
41110.04108.2326433203021.80735667969819
42127.38127.2817841204410.098215879559362
43156.47152.6179464904123.85205350958793
44167.56161.1136573854026.44634261459765
45153.54161.200553578699-7.66055357869945
46124.08142.181983996835-18.1019839968354
47100.9793.36598413207647.60401586792356
4879.1777.90194808095741.26805191904263
4968.1365.97224069646072.15775930353934
5061.7759.32677807232772.44322192767229
5154.3158.4775322174813-4.16753221748134
5260.370.3034402120837-10.0034402120837
5384.1888.6959212452881-4.51592124528811
54104.0598.86613505456245.18386494543761
55114.66123.010550881149-8.35055088114902
56105.55120.756598292350-15.2065982923496
5796.61105.652630103138-9.0426301031379
5870.9489.8723850666105-18.9323850666105
5963.9154.9807824387698.92921756123096
6058.6148.208997429279110.4010025707209
6144.5346.7339612442915-2.2039612442915
6249.5839.446157885526810.1338421144732
6357.3944.743587077254212.6464129227458
6476.7668.68147478940878.0785252105913
65104.57105.953836131095-1.38383613109522
66125.41122.1093661094653.30063389053487
67143.11148.881218725698-5.77121872569847
68136.35149.493664080602-13.1436640806019
69135.15135.362769212441-0.212769212440804
70131.7122.7108945721958.9891054278049
7196.8795.50272022166241.36727977833762
7270.6375.8540139476447-5.22401394764471
7366.2959.80299192209726.48700807790281
7463.4957.14872459848076.34127540151931
7562.9759.03392619194023.93607380805975
7666.4378.3361487778237-11.9061487778237
77101.4998.06567999993673.4243200000633
78127.69117.20654006476710.4834599352330
79133.21149.187182864173-15.9771828641726
80158.72141.65418145544317.0658185445569
81148.61150.160184673231-1.55018467323075
82134.31135.583012920392-1.27301292039161
83100.9999.2140309339171.77596906608306
8475.1678.8518713111839-3.69187131118389
8559.7463.5664037170366-3.82640371703663
8652.8753.6288643023088-0.758864302308758
8752.0750.49856124449841.57143875550164
8857.3864.8213137810088-7.44131378100882
8979.4384.0520226134744-4.62202261347444
90101.493.82539914053787.57460085946222
91120.19117.8605979718832.32940202811672
92134.38124.07467189246310.3053281075366
93135.97127.5837739745028.3862260254984
94113.83121.715057179198-7.88505717919814
9584.3885.3111441316457-0.931144131645723
9670.2866.15563473574614.12436526425391
9765.9657.78385757223818.17614242776192
9856.3656.5526307231324-0.192630723132424
9949.5753.7732891473396-4.20328914733956
10068.3363.23422889150955.09577110849053
10190.3295.3816340095591-5.06163400955913
102117.06107.1265080983029.93349190169766
103134.69135.654762487717-0.96476248771711
104131.67140.328159021533-8.65815902153287
105129.25129.538107198813-0.288107198813236
106118.77117.1483230534721.62167694652797
10788.4487.3376132561331.10238674386690
10876.7969.0823311573937.70766884260705
10975.2862.614302438052512.6656975619475
11073.8963.63105771895110.258942281049
11176.2467.93939058368778.30060941631234
11288.5893.2425600715202-4.66256007152019
113105.83127.476367216397-21.6463672163974
114115.84130.818857639880-14.9788576398797
115127.76141.319582691019-13.5595826910191
116131.75136.178176242322-4.42817624232239
117119.63128.793420868578-9.1634208685779
11893.38110.449148843292-17.0691488432919
11975.5571.94705791838333.6029420816167
12051.7958.5446657421842-6.75466574218419


Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
12144.696266258678227.892350333664561.5001821836918
12239.257686568195817.124858382917561.3905147534741
12337.191799198220810.470279804783363.9133185916583
12446.31482945158929.1185847735512883.5110741296271
12565.18946179065310.0085767818953120.370346799411
12676.43542643074239.09730288897072143.773549972514
12790.00400913352488.252607843439171.755410423611
12893.28684716308656.08784036517878180.485853960994
12990.0241878130593.37882098114349176.669554644974
13081.08584154202050.474262489647515161.697420594394
13159.967722270763-2.55556753736494122.491012078891
13246.7077712362005-5.6286310289546799.0441735013557