Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.388480381575032
beta0.079378799348397
gammaFALSE


Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
387.348.638.7
457.444.127586779209313.2724132207907
556.230.186337760713126.013662239287
661.621.99700008934539.602999910655
777.720.308095418355157.3919045816449
8177.227.2996314817916149.900368518208
997.674.851384506608522.7486154933915
1081.673.70867747164417.8913225283559
1196.867.037549147788129.7624508522119
12191.369.780712960143121.519287039857
13106111.916910673859-5.91691067385916
1475.1104.3641852701-29.2641852700999
157286.8390789316744-14.8390789316744
1663.574.4602491540468-10.9602491540468
1757.463.250286280699-5.850286280699
1862.353.84503783453528.45496216546477
1979.450.257824329982129.1421756700179
20178.155.605847789181122.494152210819
21109.3100.9966479036678.30335209633299
2285.2102.282613768227-17.0826137682267
23102.793.1798515511059.52014844889507
24193.794.705314380368598.9946856196315
25108.4134.04258919058-25.6425891905805
2673.4124.169984676402-50.769984676402
2785.9102.970280563629-17.0702805636285
2858.594.3358523079252-35.8358523079252
2958.677.3062935949926-18.7062935949926
3062.766.3543844237556-3.65438442375563
3177.561.137156030003916.3628439699961
32180.564.2008109189472116.299189081053
33102.2109.674105741473-7.47410574147283
3482.6106.833423969598-24.2334239695977
3597.896.73478718753311.06521281246687
36197.896.4970225565805101.302977443419
3793.8138.323553657549-44.5235536575489
3872.4122.126360757447-49.7263607574465
3977.7102.374562299322-24.6745622993225
4058.791.5940039658122-32.8940039658122
4153.176.6059979017651-23.5059979017651
4264.364.5401910606676-0.240191060667613
4376.461.505286941590214.8947130584098
44188.464.8093059990854123.590694000915
45105.5114.15076057243-8.65076057243009
4679.8111.852239990084-32.0522399900841
4796.199.4743054237077-3.37430542370771
48202.598.133132005557104.366867994443
4997.3141.865662946582-44.5656629465819
5089.5126.366551354878-36.8665513548784
5164.7112.721535810545-48.0215358105447
5261.293.26218244586-32.06218244586
5357.879.0140198389737-21.2140198389737
546268.3259765970259-6.32597659702591
5576.363.226571262095913.0734287379041
5619566.0666010251793128.933398974821
57110.9117.8918891598-6.9918891598
5881.4116.697259865209-35.2972598652093
59101.7103.418084005214-1.71808400521401
60202.2103.13077845725399.0692215427473
6197.4145.052371938275-47.6523719382755
6268.5128.5060435415-60.0060435415
6386.8105.31014334553-18.5101433455298
6459.197.6637870342588-38.5637870342588
6562.481.0377879722635-18.6377879722635
6666.271.577913180987-5.37791318098701
676867.10340032804450.896599671955514
68198.565.0940611617671133.405938838233
69120.4118.6758537487081.72414625129198
7090.2121.155020986148-30.9550209861484
71103.2109.984409594208-6.78440959420841
72207.3107.99439497914499.3056050208558
73106.4150.280567217266-43.8805672172662
7475.5135.588570914034-60.0885709140336
7597.3112.747125503834-15.4471255038337
7660106.771661190078-46.7716611900785
7767.587.1849266142028-19.6849266142028
7871.277.5138308482658-6.31383084826578
7973.772.84244319478170.857556805218323
80213.370.9834435236719142.316556476328
81114.6128.467120796611-13.8671207966114
8296.1124.848881649245-28.7488816492445
83117114.5628380490692.43716195093079
84229.2116.467115588559112.732884411441
85105.6164.695473411175-59.0954734111746
8699.9144.349551828394-44.4495518283938
8779.3128.322587897676-49.0225878976756
8872.5109.007374417674-36.5073744176737
8967.493.4282940616907-26.0282940616907
9078.381.1174935712128-2.81749357121281
9185.777.73675036329587.96324963670418
92177.478.789677965673598.6103220343265
93113.6118.098071820628-4.49807182062801
9494.1117.212169968524-23.112169968524
95105.7108.382343724036-2.6823437240355
96228.3107.406388456074120.893611543926
97100.3158.165276589424-57.8652765894245
9870.3137.69544596786-67.3954459678596
9994.2111.445050980946-17.2450509809459
10066.5104.145313105131-37.6453131051313
10164.487.7596010946749-23.3596010946749
10273.776.2032654359678-2.50326543596778
10387.972.672013549966715.2279864500333
104152.276.498592198725275.7014078012747
10597.3106.152321005549-8.85232100554869
10689.3102.685605018411-13.3856050184113
107107.697.045023803864110.5549761961359
108228.4101.030373637203127.369626362797


Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
109154.32363404326447.272984601823261.374283484706
110158.13629339883742.0553178321554274.21726896552
111161.9489527544136.2628137538313287.63509175499
112165.76161210998429.9371870635074301.58603715646
113169.57427146555723.1147393626518316.033803568461
114173.3869308211315.8269079760202330.946953666239
115177.1995901767038.10089664849966346.298283704905
116181.012249532276-0.0397086291137612362.064207693665
117184.824908887849-8.57438260678703378.224200382484
118188.637568243422-17.4851774468497394.760313933693
119192.450227598995-26.7563131865662411.656768384555
120196.262886954568-36.3738354169099428.899609326045