Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.200675449151377
beta0.0641812341628278
gamma0.793209546372447


Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
1314.814.75227088571220.0477291142878205
1414.714.68022614674420.0197738532557867
151615.98504639602280.0149536039771938
1615.415.38229857849130.0177014215086970
171515.0053857569075-0.00538575690746335
1815.515.46401047192690.035989528073074
1915.115.09207218224650.00792781775353646
2011.712.1474515255814-0.447451525581389
2116.315.71848999244940.581510007550612
2216.716.9362623346833-0.236262334683264
231515.1112839739173-0.111283973917345
2414.913.69653512823361.20346487176636
2514.615.0868015630430-0.486801563042963
2615.314.89582559234660.40417440765343
2717.916.31285026295401.58714973704605
2816.416.03561755542300.364382444577032
2915.415.7310352789970-0.331035278996975
3017.916.20452058163401.69547941836603
3115.916.1731589235234-0.273158923523402
3213.912.70088402734371.19911597265633
3317.817.76095914976370.0390408502363222
3417.918.4833715355693-0.583371535569281
3517.416.56742250256930.83257749743074
3616.716.17104137046970.528958629530273
371616.4232263059147-0.423226305914714
3816.616.9278212185080-0.327821218507950
3919.119.2134443381708-0.113444338170758
4017.817.73377130718730.0662286928127145
4117.216.88701528357380.312984716426204
4218.618.9695030778725-0.369503077872515
4316.317.1702752957141-0.870275295714109
4415.114.33754048407130.76245951592867
4519.218.80635459694140.393645403058638
4617.719.2234752859687-1.52347528596867
4719.117.95550799550971.14449200449032
481817.38029611893660.619703881063401
4917.517.01554176623490.484458233765114
5017.817.8099268127378-0.00992681273780605
5121.120.47871464220390.62128535779609
5217.219.1746546782697-1.97465467826973
5319.418.02913843885121.37086156114875
5419.820.0044238261271-0.204423826127147
5517.617.7805499364049-0.180549936404915
5616.216.00287086896420.19712913103578
5719.520.4239154419124-0.923915441912413
5819.919.28754390029340.612456099706606
592020.2094019111936-0.209401911193577
6017.318.9532929550498-1.6532929550498


Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
6117.996883483613716.752990730912219.2407762363153
6218.362135335057317.076843176999519.6474274931151
6321.491332203979520.132946536522422.8497178714365
6418.280409399825216.916625695592619.6441931040579
6519.682664107958018.245435647335821.1198925685803
6620.368655531431218.862457351780421.8748537110819
6718.114656237576216.612792807439319.616519667713
6816.548051866519815.037860049033518.0582436840061
6920.268787522614518.564599328217921.9729757170111
7020.270448277684318.500515280205422.0403812751631
7120.527128811077418.676686918559022.3775707035958
7218.3039957835319-0.15000295718634536.7579945242501