Estimated Parameters of Exponential Smoothing
ParameterValue
alpha1
beta0.390930173502102
gamma0.0255606071067017


Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
1323.7423.34551282051280.394487179487168
1423.8724.0316994590038-0.161699459003788
1524.1324.2355695947736-0.105569594773581
1624.2324.2951325881055-0.0651325881055271
1724.2724.3055036274701-0.0355036274701277
1824.4124.4245408548899-0.0145408548899404
1924.3924.427606395965-0.0376063959649535
2024.3424.4324882543989-0.092488254398912
2124.3124.3271651383932-0.0171651383931746
2224.3424.22337143452960.116628565470389
2324.4124.33771505986430.0722849401357486
2424.3924.28014009071980.109859909280225
2524.5424.48183764411560.0581623558843738
2624.924.76415839732610.135841602673874
2725.6325.31434631196160.315653688038442
2826.726.00857819632630.691421803673663
2927.1227.284709175333-0.164709175332952
3027.6827.7332360555093-0.0532360555093199
3127.8428.1411744750925-0.301174475092498
3227.8428.2230196186235-0.383019618623511
3327.7728.0541190259936-0.28411902599365
3427.827.8059649925334-0.00596499253337157
3527.8227.8723830969674-0.0523830969673647
3627.7227.7160716304480.00392836955199982
3727.8727.79635734863850.0736426513614532
3827.8328.0847298164458-0.254729816445767
3928.0728.0822315784398-0.0122315784397955
4028.0528.1582832186915-0.108283218691454
4128.1528.03178537455440.118214625445624
4228.328.2709157052570.0290842947430185
4328.4128.30103563364710.108964366352936
4428.4328.4932164256243-0.0632164256242902
4528.4328.4693365507201-0.0393365507201402
4628.2928.3868753727888-0.0968753727888085
4728.1928.2477538664964-0.0577538664963981
4827.5327.9693428041132-0.439342804113213
4927.9227.31634044547430.603659554525663
5027.9828.0519125131946-0.0719125131945866
5127.9228.2208830752678-0.300883075267787
5227.8927.88409213578280.00590786421716061
5327.9527.79223503149960.157764968500384
5428.0228.00682678467470.0131732153253132
5527.9727.95072659202740.0192734079726016
5627.8127.9478444820834-0.13784448208343
5727.7827.71479024811960.0652097518804169
5827.5627.6431993744029-0.083199374402895
5927.5227.42942422853230.090575771467698
6027.1827.2689996972539-0.0889996972539215


Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
6127.072957030164826.664646806282227.4812672540474
6227.07549739366326.376024112065527.7749706752605
6327.215121090494426.20586666801428.2243755129749
6427.195578120659325.851826029356428.5393302119622
6527.111868484157425.408505327489528.8152316408253
6627.121075514322225.033761172349329.2083898562951
6726.99903254448724.504451892335529.4936131966385
6826.916572907985223.992439183578429.8407066323919
6926.814946604816723.439933274820730.1899599348126
7026.646236968314822.799893114830.4925808218296
7126.516277331812922.178944762739230.8536099008867
7226.230484361977821.383222155891631.0777465680639