Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.0844128060248295
beta0
gamma0.573960908312786


Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
139.8299.746152243589740.0828477564102599
149.1259.037428580589120.0875714194108816
159.7829.687645321903760.0943546780962379
169.4419.357726323784690.0832736762153079
179.1629.075455280536620.0865447194633777
189.9159.819627021894420.0953729781055834
1910.44410.5044189813365-0.060418981336511
2010.2099.722851770992660.486148229007341
219.98510.0019634992218-0.0169634992217613
229.8429.807772821393710.0342271786062884
239.4299.171236625656770.257763374343225
2410.13210.02306974745010.108930252549895
259.84910.1551685431218-0.306168543121766
269.1729.41608926077168-0.244089260771682
2710.31310.04187427222570.271125727774344
289.8199.721053823201140.0979461767988656
299.9559.441740296949330.513259703050666
3010.04810.2265715967451-0.178571596745112
3110.08210.806368697415-0.724368697414983
3210.54110.25598285049010.285017149509907
3310.20810.2537256629586-0.0457256629585885
3410.23310.08400836765950.148991632340467
359.4399.57463054881125-0.135630548811246
369.96310.3150427046877-0.352042704687689
3710.15810.1900903894399-0.0320903894398921
389.2259.50677017484429-0.281770174844288
3910.47410.40012571111820.0738742888818429
409.7579.971646911039-0.214646911038995
4110.499.88419845853350.605801541466505
4210.28110.3132763382556-0.0322763382555777
4310.44410.6186001114933-0.174600111493323
4410.6410.6450653992841-0.00506539928406902
4510.69510.44451245854280.25048754145724
4610.78610.40212548171840.383874518281599
479.8329.763002626032020.0689973739679779
489.74710.4069609748898-0.659960974889772
4910.41110.4241549579517-0.0131549579517465
509.5119.61122359826276-0.100223598262765
5110.40210.7067991598434-0.304799159843419
529.70110.0947343328063-0.393734332806311
5310.5410.42332350649050.116676493509521
5410.11210.4757958594659-0.363795859465917
5510.91510.67834239462090.236657605379103
5611.18310.82861550009410.354384499905901
5710.38410.7927006812139-0.408700681213894
5810.83410.76476613473960.0692338652604256
599.8869.93361209457797-0.0476120945779677
6010.21610.1846512924180.0313487075819623
6110.94310.60010450892510.342895491074923
629.8679.771472816066740.0955271839332603
6310.20310.7760654898354-0.57306548983542
6410.83710.09461911454260.742380885457431
6510.57310.7873375969434-0.214337596943441
6610.64710.5593744913070.087625508693014
6711.50211.11557182622490.38642817377511
6810.65611.3403542940199-0.68435429401992
6910.86610.81574676571260.0502532342873607
7010.83511.0777137915992-0.242713791599188
719.94510.1588235071015-0.213823507101477
7210.33110.4373271236528-0.10632712365285
7310.71811.004880078885-0.286880078885012
749.4629.99309243285041-0.531092432850407
7510.57910.593437409713-0.0144374097130218
7610.63310.650428277033-0.017428277033039
7710.34610.7762428032309-0.430242803230918
7810.75710.6887395446560.0682604553439639
7911.20711.4003263853516-0.193326385351639
8011.01311.0134619028521-0.000461902852087803
8111.01510.93262817626730.0823718237327036
8210.76511.0433489522367-0.278348952236703
8310.04210.1366327735722-0.0946327735721741
8410.66110.4816881740350.179311825964991


Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
8510.978470103966210.405415206472911.5515250014594
869.862562469155069.2874695381421310.437655400168
8710.779246479432410.202122711891111.3563702469737
8810.835884314571710.256736831782511.4150317973609
8910.746231329764310.165067178614911.3273954809136
9010.957015147760410.373841302032511.5401889934884
9111.525373102282210.940196463906112.1105497406583
9211.25618029917310.669007699453611.8433528988923
9311.218915618924510.629753819737511.8080774181115
9411.133120329531510.541976024491511.7242646345715
9510.34644528705139.7533251026524810.93956547145
9610.843449876459610.248360373190311.4385393797289