Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.177301097189880
beta0.0428118109755981
gamma0.788749875228097


Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
139090.6679905850666-0.667990585066647
1469.370.5134914823573-1.21349148235733
1587.389.7183509239835-2.41835092398351
1657.458.5942509902544-1.19425099025437
1756.256.8428931646303-0.642893164630287
1861.661.7977112556271-0.197711255627119
1977.778.4721393845347-0.772139384534668
20177.2200.287272333324-23.0872723333240
2197.698.1034213700852-0.503421370085192
2281.673.88391207646277.71608792353734
2396.890.13242858531936.66757141468065
24191.3177.39577236430713.9042276356927
2510684.882693331312921.1173066686871
2675.168.70964993877936.39035006122073
277288.8210993332873-16.8210993332873
2863.556.66725397054576.83274602945426
2957.456.84780364133350.552196358666471
3062.362.5491549075878-0.249154907587801
3179.479.308396737960.091603262039996
32178.1189.122959763264-11.0229597632636
33109.3101.3625613672937.93743863270656
3485.283.2646797202071.93532027979296
35102.798.70775831562083.99224168437922
36193.7194.311714496881-0.61171449688095
37108.4101.0461475161687.35385248383209
3873.472.90071206595640.499287934043579
3985.976.5286016109799.37139838902107
4058.563.8698634562511-5.36986345625113
4158.657.85036698694480.749633013055217
4262.763.2261291791202-0.526129179120154
4377.580.4971951397315-2.99719513973155
44180.5183.457234392854-2.95723439285408
45102.2108.341102339044-6.14110233904414
4682.684.0364303675374-1.43643036753740
4797.8100.009468172683-2.20946817268329
48197.8189.3190376195918.4809623804091
4993.8104.138505398718-10.3385053987177
5072.469.84201946783722.55798053216279
5177.779.002386465694-1.302386465694
5258.756.27511555463682.42488444536320
5353.155.5947129314329-2.49471293143286
5464.359.22144529623125.07855470376884
5576.475.13556307105391.26443692894613
56188.4175.26422705403013.1357729459704
57105.5102.3723939272023.12760607279837
5879.882.9074429994715-3.10744299947149
5996.198.0627110525615-1.96271105256153
60202.5194.0093879912128.4906120087881


Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
6196.987027300322885.0394651893925108.934589411253
6272.648982686679160.534346048209284.763619325149
6379.013778995132766.50836238402291.5191956062434
6458.730444464023646.285363397132971.1755255309143
6554.443171479382541.786239729522267.1001032292427
6663.624559207075250.270614355777576.978504058373
6776.264767755173261.831628852474390.6979066578721
68184.008021584436159.584621183844208.431421985029
69103.21949214868385.9322732952686120.506711002098
7079.52900391629563.825005188749495.2330026438407
7195.823488143680278.0766209665477113.570355320813
72198.263447889791-32.8209580904064429.347853869989