Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.396545148452336
beta0.452593371751002
gammaFALSE


Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
344.728.4689999999999936.251
439.525-0.86374051487759540.3887405148776
545.315-1.3069631706484146.6219631706484
650.389.0889848783698241.2910151216302
740.624.781622841589515.8183771584105
836.27933.21219257040833.06680742959175
942.43837.1366004824445.30139951755601
1038.06442.8985868630186-4.83458686301862
1131.87943.77351579933-11.89451579933
1211.37939.7141113384508-28.3351113384508
1370.24924.04986104299546.1991389570049
1439.25346.2333367686341-6.98033676863415
1547.0646.07596249050650.984037509493497
1641.69749.2534310512937-7.55643105129366
1738.70847.6880375554721-8.98003755547212
1849.26743.94643918890355.32056081109646
1939.01846.8305744902093-7.81257449020925
2032.22843.1046770082994-10.8766770082994
2140.8736.21164700912484.65835299087518
2239.38336.31500966133263.06799033866738
2334.57136.3383453149348-1.76734531493479
2412.06634.1270600608813-22.0610600608813
2570.93819.90902047747551.028979522525
2634.07743.832841548624-9.75584154862399
2745.40941.90181968863843.50718031136162
2840.80945.8596314483995-5.05063144839954
2937.01345.5174289308376-8.50442893083758
3044.95342.27931840203672.67368159796332
3137.84843.9536889167836-6.10568891678356
3232.74541.0508320311488-8.30583203114877
3343.41235.78484061331597.62715938668412
3434.93138.205874202333-3.27487420233304
3533.00835.7160054542737-2.70800545427374
368.6232.9649099838898-24.3449099838898
3768.90617.264533782838751.6414662171614
3839.55640.9644717271879-1.40847172718792
3950.66943.37493051362987.29406948637024
4036.43250.5454334785199-14.1134334785199
4140.89146.6939047943997-5.80290479439967
4248.42845.09640711324653.33159288675353
4336.22247.7190834926714-11.4970834926714
4433.42542.3980960156641-8.97309601566413
4539.40136.46754873308192.93345126691813
4637.96735.78496237985282.1820376201472
4734.80135.1960249683759-0.395024968375857
4812.65733.5142692952083-20.8572692952083
4969.11619.974978494727449.1410215052726
5041.51943.012691546968-1.49369154696803
5151.32145.70337643782565.61762356217442
5238.52952.2222345527635-13.6932345527634
5341.54748.6258900203414-7.07889002034141
5452.07346.38195709761635.69104290238374
5538.40150.2232716809576-11.8222716809576
5640.89844.9979794235232-4.09997942352317
5740.43942.0990861949048-1.66008619490481
5841.88839.86977896750712.01822103249286
5937.89839.4613042334551-1.56330423345506
608.77137.3520210270772-28.5810210270772
6168.18419.399451544950948.7845484550491
6250.5340.88136699471119.64863300528891
6347.22148.5758009638906-1.35480096389059
6441.75651.6637254266796-9.90772542667963
6545.63349.5818529903989-3.94885299039888
6648.13849.1542272291666-1.01622722916661
6739.48649.7071339190346-10.2211339190346
6839.34144.7754547372586-5.43445473725858
6941.11740.76656823157230.350431768427676
7041.62939.11454369216942.51445630783057
7129.72238.7719313766108-9.04993137661081
727.05432.2192925086636-25.1652925086636
7356.67614.759677064435841.9163229355642
7434.8731.42382858527883.4461714147212
7535.11733.45132531489131.66567468510873
7630.16935.071719512917-4.90271951291696
7730.93633.2075396191632-2.27153961916318
7835.69931.97905971368383.71994028631619
7933.22833.7941035652729-0.566103565272918
8027.73333.8079368167402-6.0749368167402
8133.66630.54697754576753.11902245423247
8235.42931.49162073706933.93737926293066
8327.43833.4674353979804-6.02943539798043
848.1730.4088329448894-22.2388329448894
8563.4116.931186774182546.4788132258175
8638.0439.0449146558712-1.00491465587125
8745.38942.1488448583543.24015514164605
8837.35347.5176595444879-10.1646595444879
8937.02445.7465708843946-8.72257088439456
9050.95742.98186336546517.97513663453493
9137.99448.2698780794211-10.2758780794211
9236.45444.4762915350704-8.02229153507041
9346.0840.13656341077635.94343658922373
9443.37342.40156760856850.971432391431527
9537.39542.8692942348557-5.47429423485573
9610.96339.7985073663269-28.8355073663269
9776.05822.288729403195753.7692705968043
9850.17947.18564563193592.99335436806409
9957.45252.48484702312474.96715297687525
10047.56859.458222028643-11.890222028643
10150.0557.6129045499403-7.56290454994026
10250.85656.1262213171197-5.27022131711971
10341.99254.6028243470976-12.6108243470976
10439.28447.9052354801887-8.62123548018867
10544.52141.24241364265813.27858635734186
10643.83239.88682846555073.9451715344493
10741.15339.50362896171851.64937103828151
10817.138.5060596417788-21.4060596417788


Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
10924.52414628992-11.299846046297460.3481386261374
11019.03070203649-22.311453537001360.3728576099813
11113.5372577830599-35.876050586581662.9505661527014
1128.04381352962984-51.651564082583967.7391911418436
1132.55036927619978-69.264942822301574.365681374701
114-2.94307497723027-88.41853289529182.5323829408304
115-8.43651923066034-108.89575824531692.0227197839954
116-13.9299634840904-130.540981294406102.681054326225
117-19.4234077375204-153.240231238947114.393415763906
118-24.9168519909505-176.907552584158127.073848602257
119-30.4102962443806-201.476067077743140.655474588981
120-35.9037404978106-226.892203331706155.084722336085