Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.956068916392835
beta0.0405462289899447
gamma0.293993472656916


Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
1362.8262.58805555555560.231944444444437
1462.8262.8286502379546-0.00865023795456921
1562.5562.5534678300148-0.00346783001480588
1662.662.57268906415850.02731093584147
1762.4762.41239562775570.057604372244306
1862.4762.40954783713710.0604521628629229
1962.4762.7730161580507-0.303016158050667
2062.7262.53390396381340.186096036186619
2163.1362.97463074595060.155369254049376
2264.0963.56408682757650.525913172423522
2364.3164.18402878350820.125971216491791
2464.2964.4135652731942-0.123565273194188
2564.2964.3527333424018-0.0627333424018275
2664.2964.3331926827601-0.0431926827600506
2764.3564.04841753203010.301582467969894
2864.4264.39487594903670.0251240509632709
2964.2464.2679887321836-0.027988732183573
3064.2364.21513257848340.0148674215165983
3164.2364.5603450585548-0.330345058554812
3264.264.3303829234862-0.130382923486181
3365.3564.48483012233220.865169877667753
3465.8365.80189863570110.0281013642988484
3566.1565.9656434717710.184356528229003
3666.1966.2749514798159-0.0849514798158992
3766.1966.2804935449168-0.0904935449167823
3866.5666.26225934746340.297740652536561
3966.5966.34870391756620.241296082433792
4066.4866.672427838371-0.192427838370961
4166.466.3669006786450.0330993213549675
4266.466.4054111302355-0.00541113023552953
4366.466.7583999538617-0.358399953861706
4466.4966.5347330707572-0.044733070757232
4566.6566.8177807253501-0.16778072535007
4667.6967.13027911757330.559720882426717
4767.9167.81872814183110.0912718581688807
4868.1468.0463753149190.0936246850809539
4968.1468.2403121846026-0.100312184602586
5068.1668.2350595539487-0.0750595539487335
5167.9467.967255474426-0.0272554744259992
526868.0211165076036-0.0211165076035655
5368.167.88142110204770.218578897952256
5468.1268.10308907598280.0169109240171963
5568.1268.4800492702919-0.360049270291853
5668.2468.265981699409-0.0259816994090443
5768.4268.5732196608156-0.153219660815608
5868.9768.91745182529230.0525481747077237
5969.1369.10371439219940.0262856078006308
6069.269.2554972623938-0.0554972623938284


Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
6169.284814423615368.843078934199669.7265499130309
6269.360137837052768.737041078552469.9832345955531
6369.151967491346868.379495864809169.9244391178844
6469.220276698248868.314128130620770.126425265877
6569.092995259182768.062454399813670.1235361185518
6669.083738256865767.934814161723370.2326623520082
6769.419662426218868.156441138687470.6828837137503
6869.54809930580568.173433800527670.9227648110825
6969.873499308102168.389402033416571.3575965827877
7070.367782252182768.775666401118471.9598981032469
7170.502333560245668.80317017999372.2014969404982
7270.625777964374968.820202958061872.431352970688