Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.351422671931043
beta0.0223216540472113
gamma0.707358546735873


Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
131.471.416925747863250.0530742521367522
142.092.046805055776310.0431949442236936
151.521.491051386531790.0289486134682058
161.291.277601649632030.0123983503679681
171.521.518849698536630.0011503014633687
181.271.27657061805821-0.00657061805821479
191.351.211526689280540.138473310719465
201.291.253540716581660.0364592834183364
211.411.51707403401171-0.10707403401171
221.391.50265989822721-0.112659898227214
231.451.49498235443103-0.0449823544310277
241.531.60115204390103-0.0711520439010296
251.451.56816620179532-0.118166201795319
262.112.13176662250706-0.0217666225070583
271.531.54456980786051-0.0145698078605103
281.381.305814169406020.074185830593978
291.541.56168041218046-0.0216804121804599
301.351.305721846851090.0442781531489065
311.291.32337490492451-0.0333749049245056
321.331.255132676093060.0748673239069397
331.471.463551754673450.00644824532654709
341.471.48459781297776-0.0145978129777604
351.541.54132817818006-0.00132817818006292
361.591.65007311638519-0.0600731163851853
371.51.59873879211233-0.0987387921123322
3822.21287185508907-0.212871855089073
391.511.55979849406988-0.0497984940698799
401.41.347085805399430.0529141946005725
411.621.549032739577640.0709672604223641
421.441.354156906938990.0858430930610068
431.291.34938144762011-0.0593814476201107
441.281.32004497567955-0.0400449756795451
451.41.45417680740623-0.0541768074062257
461.391.44127146363638-0.051271463636378
471.461.48792305306166-0.0279230530616641
481.491.55688389736425-0.066883897364254
491.451.48187653038407-0.0318765303840667
502.052.06412873806664-0.0141287380666411
511.591.554255304865580.0357446951344185
521.421.417940481326870.00205951867313292
531.731.609113193528950.120886806471053
541.391.43781143031393-0.047811430313929
551.231.31759919600926-0.087599196009263
561.371.285154233778080.0848457662219242
571.511.455608576369430.0543914236305716
581.471.48195754811964-0.0119575481196368
591.51.5532131110561-0.0532131110560976
601.541.59529020884309-0.05529020884309
611.541.54038671795647-0.000386717956473603
622.152.142063476417040.00793652358295605
631.621.66321417652018-0.0432141765201837
641.41.48346719101213-0.083467191012127
651.651.69819792140361-0.0481979214036128
661.491.387853621063770.102146378936233
671.451.301035072442030.148964927557968
681.451.431642340578480.0183576594215205
691.511.56504245721176-0.0550424572117585
701.481.52191902819089-0.0419190281908921
711.561.5629078375786-0.00290783757860047
721.571.6212945178372-0.0512945178372042
731.571.5925990831145-0.0225990831145046
742.282.189729617538870.0902703824611319
751.71.71643460174513-0.0164346017451269
761.561.527928537766570.0320714622334288
771.81.8006463316405-0.000646331640495879
781.561.57756365461067-0.0175636546106728
791.511.470792952662710.0392070473372903
801.461.50268566858473-0.0426856685847299
811.511.58025709588297-0.0702570958829729
821.551.536985857408640.0130141425913564
831.571.61478600443566-0.0447860044356634
841.641.635537708800750.00446229119925223


Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
851.639319296983781.514273879483441.76436471448412
862.296068837927252.163198282606412.42893939324809
871.74128418329361.600707130524321.88186123606289
881.580123164668641.431933250563751.72831307877353
891.825624679199411.669895627879151.98135373051968
901.59407745556751.430866878594441.75728803254056
911.518731463150861.348083755878791.68937917042293
921.498175276101091.320123866582361.67622668561981
931.577332940581861.391902063806851.76276381735687
941.596740318379161.403946435671391.78953420108692
951.643133326265781.442986274830951.84328037770061
961.702252823034411.494756757169041.90974888889979