Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.0542570100641665
beta0.283078288759594
gamma0.116511788416041


Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
1328863172.61591880342-286.615918803420
1433183601.67714478930-283.677144789304
1541664469.99916116335-303.999161163349
1664016687.63278151257-286.632781512572
1792099455.88959542425-246.889595424251
1898209986.17744970616-166.177449706160
1974707000.87552063784469.124479362156
2082079429.87344895766-1222.87344895766
2195649658.86987123-94.8698712299956
2253095593.52795703516-284.527957035157
2333852852.90070252401532.099297475992
2437062990.62870447873715.371295521275
2527332111.45560415150621.544395848497
2630452581.64411728009463.355882719906
2734493491.26169114149-42.2616911414862
2855425732.0330961723-190.033096172294
29100728518.417190042641553.58280995736
3094189191.4471642279226.552835772094
3175166339.64977701391176.35022298610
3278408673.6324442214-833.632444221395
33100819107.07559970299973.924400297012
3449565154.27312701868-198.273127018681
3536412585.083238086211055.91676191379
3639702856.245201754581113.75479824542
3729312079.28557135330851.714428646704
3831702639.00395224852530.99604775148
3938893592.08861308461296.911386915395
4048505935.7001656046-1085.70016560460
4180378952.58149824644-915.581498246444
42123709394.456500996042975.54349900396
4367126887.73140463225-175.73140463225
4472978997.36906805863-1700.36906805863
45106139640.14386624884972.856133751164
4651845615.28545410394-431.285454103941
4735063225.24033444513280.759665554873
4838103502.40003118403307.599968815970
4926922682.127104567779.8728954322337
5030733177.20036459539-104.200364595387
5137134076.64206853947-363.642068539467
5245556228.53302238142-1673.53302238142
5378079219.7065091506-1412.70650915059
541086910043.1783269151825.821673084949
5596827019.364041816862662.63595818314
5677049105.38524825445-1401.38524825445
57982610053.9196966447-227.919696644676
5854565785.7198752894-329.719875289396
5936773457.73749286559219.262507134413
6034313711.66523589019-280.665235890187
6127652794.78019547489-29.780195474892
6234833242.63521532672240.364784673284
6334454104.97920284696-659.979202846962
6460816064.6983415972916.3016584027127
6587679170.49558019488-403.495580194878
66940710305.0863486525-898.086348652549
6765517373.35774277617-822.35774277617
68124808752.173145909233727.82685409077
69953010116.7820668269-586.78206682692
7059605820.85665060883139.143349391169
7132523588.96971608293-336.969716082926
7237173759.25150851769-42.2515085176901
7326422888.22963902416-246.229639024164
7429893356.06612789128-367.066127891278
7536074078.87215693946-471.872156939456
7653666118.83459955378-752.834599553784
7788989120.34775997593-222.347759975934
78943510196.7547545344-761.754754534351
7973287269.3483047619958.6516952380098
8085949199.46249746765-605.46249746765
81113499789.089600828041559.91039917196
8257975658.15533845046138.844661549545
8336213342.31278029526278.687219704742
8438513556.45278074215294.547219257849


Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
852664.38053932047808.6007670206984520.16031162025
863119.195879499531258.924629658164979.4671293409
873842.94114803061975.997982207935709.88431385328
885877.366055959034001.160742907317753.57136901075
898989.562400993627101.1125792905310878.0122226967
9010033.39316231598129.3472934664711937.4390311652
917264.214992371235340.880640088989187.54934465349
929143.564196499577196.9413161707211090.1870768284
9310039.54021752838065.3587865285412013.7216485281
945678.319162711983672.080165809517684.55815961445
953379.156885986581336.175427932435422.13834404073
963584.447713094961499.896891585345668.99853460458