Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.488903716392153
beta0.0465372441384407
gamma0.947454970073025


Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
132499.812094.39367811309405.416321886914
145198.244816.56402005839381.675979941614
157225.147085.97950572379139.160494276210
164806.034899.7479008483-93.7179008483026
175900.885962.72230169536-61.8423016953557
184951.344719.27181523893232.068184761075
196179.126003.72918904137175.390810958627
204752.154985.4572851177-233.307285117704
215496.436674.10111646775-1177.67111646775
225835.17669.30214520937-1834.20214520937
2312600.087978.97906365394621.10093634609
2428541.7226666.79327594031874.92672405971
254717.023807.00257376309910.017426236914
265702.638505.38475298753-2802.75475298753
279957.589763.6994469637193.880553036308
285304.786579.83538265766-1275.05538265767
296492.437281.90853964856-789.47853964856
306630.85584.41745840671046.38254159331
317349.627446.24219872818-96.6221987281779
328176.625789.925777760882386.69422223912
338573.178824.0750751731-250.905075173094
349690.510482.5750151408-792.075015140841
3515151.8416708.8825988694-1557.04259886937
3634061.0135009.7735615791-948.76356157905
375921.15061.18076645123859.919233548773
385814.587994.35792622826-2179.77792622826
3912421.2511745.5899383707675.660061629298
406369.777117.20428899281-747.434288992808
417609.128660.91093174328-1051.79093174328
427224.757530.0624350017-305.312435001703
438121.228207.73478065402-86.5147806540235
447979.257442.77961440537536.470385594627
458093.068175.56306823937-82.5030682393735
468476.79464.45362099461-987.753620994614
4717914.6614563.62134250343351.03865749662
4830114.4136632.6098584899-6518.19985848985
494826.645299.83716395774-473.197163957743
506470.235755.2482338799714.981766120101
519638.7712474.7316323203-2835.96163232033
528821.175959.141193593852862.02880640615
538722.379342.26261108106-619.892611081061
5410209.488734.549331445481474.93066855452
5511276.5510711.2978516089565.252148391053
5612552.2210451.088378692101.13162130999
5711637.3911791.9475416962-154.557541696195
5813606.8913041.1690625705565.720937429522
5921822.1125293.0891801767-3470.97918017666
6045060.6944001.51367772431059.1763222757
617615.037477.63237666557137.397623334435
629849.699550.00943106132299.680568938678
6314558.416515.8104435388-1957.41044353881
6411587.3311430.1019549011157.228045098867
659332.5611887.3401339983-2554.78013399832
6613082.0911406.19509485531675.89490514472
6716732.7813161.68378472153571.0962152785
6819888.6115070.44738283054818.16261716948
6923933.3816370.95329913157562.4267008685
7025391.3523103.39345664282287.95654335720
7136024.842162.4754632356-6137.67546323562
7280721.7180109.8347724822611.875227517798
7310243.2413559.8674871677-3316.6274871677
7411266.8815246.5065443697-3979.62654436974
7521826.8420922.411621172904.428378828004
7617357.3316836.9839506788520.346049321186
7715997.7915516.1542990580481.635700942026
7818601.5320488.2313864995-1886.70138649949
7926155.1522071.31484114034083.83515885965
8028586.5224719.02149760633867.49850239369
8130505.4126017.35729559894488.05270440106
8230821.3328590.10397495262231.2260250474
8346634.3845451.69398663841182.68601336162
84104660.67102035.0519320412625.61806795884


Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
8514994.740538504610497.819535634319491.6615413749
8618948.092093010313580.857437864824315.3267481558
8735767.050890771327310.675380443044223.4264010997
8828159.426476604920617.143244715435701.7097084944
8925669.264058371318148.210131572133190.3179851706
9031472.701700214122232.108175695340713.295224733
9140496.448156936728592.117867700652400.7784461729
9241217.958490546628690.662244796753745.2547362965
9340537.849845041027771.046133964953304.6535561172
9439431.640459647326561.542362445852301.7385568489
9558785.199779729739615.015599752877955.3839597066
96129819.01236330887614.241560001172023.783166615