Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.10425711833567
beta0.130348249108125
gamma0.727179362888915


Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
139.7439.74921180555556-0.00621180555555689
148.5878.59142105170956-0.00442105170955998
159.7319.74796524912095-0.016965249120954
169.5639.58113773812208-0.0181377381220837
179.99810.0105664997834-0.0125664997834232
189.4379.44390532732481-0.00690532732481053
1910.0389.836157197506350.201842802493651
209.91810.1042072025874-0.186207202587356
219.2529.44822805956723-0.196228059567231
229.7379.661037483971450.0759625160285538
239.0359.034090357056820.000909642943176081
249.1339.033455795676080.099544204323923
259.4879.68611954459826-0.199119544598256
268.78.50581874997090.194181250029102
279.6279.67403227136777-0.0470322713677724
288.9479.50203221802548-0.555032218025485
299.2839.87054444750937-0.587544447509369
308.8299.23124105357236-0.402241053572357
319.9479.696491061578620.250508938421376
329.6289.69575706137927-0.0677570613792717
339.3189.026114333186950.291885666813053
349.6059.45425642574780.150743574252209
358.648.77438286347976-0.134382863479759
369.2148.810215657173090.403784342826912
379.5679.290519203245840.276480796754155
388.5478.412909003869030.134090996130967
399.1859.41384606651053-0.228846066510531
409.478.885632671089240.584367328910757
419.1239.36087799748514-0.237877997485139
429.2788.892601911455660.38539808854434
4310.179.889723501985460.280276498014537
449.4349.70976556212332-0.275765562123317
459.6559.274848786362740.380151213637262
469.4299.6436109406425-0.214610940642499
478.7398.75831278013992-0.0193127801399235
489.5529.17663770351850.375362296481507
499.6879.59062220757360.0963777924263916
509.0198.618604925553530.400395074446468
519.6729.431638092780550.240361907219448
529.2069.5091554995017-0.303155499501692
539.0699.37133980882434-0.302339808824335
549.7889.316499778382750.471500221617255
5510.31210.26947160230460.0425283976953832
5610.1059.714655126098080.390344873901917
579.8639.79759422480950.0654057751904986
589.6569.76302433589962-0.107024335899615
599.2959.034505547229390.260494452770612
609.9469.761234866498880.184765133501118
619.7019.99319182522465-0.29219182522465
629.0499.19297379159361-0.143973791593615
6310.199.851898635738650.338101364261345
649.7069.593791841240230.112208158759774
659.7659.513671144125380.251328855874622
669.89310.0419911674629-0.148991167462865
679.99410.6638057580960-0.669805758095981
6810.43310.26454963992260.168450360077351
6910.07310.1129555017458-0.0399555017458297
7010.1129.953909093085320.158090906914678
719.2669.49484565791946-0.228845657919457
729.8210.1170063573100-0.297006357310037
7310.0979.977290695328180.119709304671821
749.1159.31138696974474-0.196386969744744
7510.41110.27296885989460.138031140105372
769.6789.83825957821236-0.160259578212356
7710.4089.808043224160320.599956775839683
7810.15310.10438579126860.0486142087313794
7910.36810.4026771219723-0.0346771219723347
8010.58110.6193959818708-0.0383959818707975
8110.59710.31142419727890.28557580272107
8210.6810.32067726806690.359322731933105
839.7389.638651027302580.099348972697424
849.55610.2631854515408-0.707185451540758


Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
8510.35912042225989.8103701484564610.9078706960631
869.480195467364128.9276478433200610.0327430914082
8710.688103043327710.130867889440511.245338197215
8810.05085331989129.487963892565210.6137427472171
8910.54084858002799.9712692847910511.1104278752648
9010.41568699803219.8383219142658210.9930520817985
9110.654167451808710.067869463335111.2404654402823
9210.872061182895110.275641471372411.4684808944178
9310.779620236727610.171857875529311.3873825979259
9410.803758984803410.183410371360111.4241075982466
959.906672456556669.2724803401198910.5408645729934
969.985889691375539.3365915876809510.6351877950701