Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.238478317886849
beta0.0332524755449531
gamma0.786856072763765


Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
137476.1609807081855-2.16098070818548
1477.679.0715192698551-1.47151926985515
1575.175.9320633301454-0.83206333014536
168585.3702471707489-0.370247170748897
1775.475.23307329610180.16692670389817
1863.262.76022916436110.439770835638889
1964.759.97476031084744.72523968915258
207776.98579297009790.0142070299020816
2182.680.7378543979841.862145602016
2297.698.590085292572-0.99008529257209
239995.30367840972523.69632159027485
2475.377.0443186004388-1.7443186004388
2571.673.9638293823682-2.36382938236817
2676.877.2147861428936-0.414786142893647
2783.974.76787067272769.13212932727244
2879.787.221791561436-7.52179156143598
2977.575.72720890281271.77279109718732
3073.163.74196436029229.35803563970784
3165.665.7266265579438-0.126626557943766
3285.279.23922221514455.96077778485555
3398.385.92369427748112.376305722519
3498106.148503406018-8.1485034060185
35100.6104.187778000516-3.58777800051568
3684.179.95689054162344.14310945837656
3776.777.8784201026497-1.17842010264968
3882.483.1904662296599-0.79046622965987
3995.586.7059362045378.79406379546302
4079.989.2371047653084-9.33710476530837
4182.482.75425249186-0.354252491859938
4283.674.20398210181189.3960178981882
4373.170.24371800914952.85628199085046
4491.189.63392251460011.46607748539991
45118.699.621460299068818.9785397009312
46102.9109.646879399444-6.74687939944442
47111.8111.208178865820.59182113417981
4893.990.90988019622.99011980379998
4991.684.94149524179876.65850475820132
509293.3551953110195-1.3551953110195
5191.1103.838593280986-12.7385932809861
5297.589.5781067608847.92189323911596
5394.792.97711547476971.7228845252303
5496.790.48186491501296.21813508498714
5578.780.792937942156-2.09293794215606
56103.5100.2311197653433.26888023465663
57113.8123.074772075817-9.27477207581728
58106.1110.425674864106-4.32567486410616
59120.3117.3730904914362.92690950856441
60114.298.000214290289616.1997857097104
61106.397.01086233026889.28913766973125
6298.8101.5715103602-2.77151036020022
63113.1105.1446768429997.95532315700119
6497.7108.537492182488-10.8374921824884
65116.3103.64864997266612.6513500273344
66107.2106.5608620082070.639137991792992
6794.588.8210262727865.67897372721407
68123.5116.8074937923956.69250620760509
69126.6135.306892493306-8.70689249330616
70126.5124.8498355115151.65016448848509
71141.4140.047663116411.35233688358954
72124.3126.053479973353-1.75347997335339
73124.9115.5082937007469.39170629925364
74108.9112.372600800479-3.47260080047873
75126.7123.5623413128673.13765868713308
76107.7113.357500396483-5.65750039648297
77121.8125.153856399775-3.35385639977471
78118.3116.4111844331911.88881556680887
79122.8100.58971601746822.2102839825317
80149.5136.79593620963512.7040637903651
81147148.689573475122-1.68957347512176
82139.3145.99850723732-6.69850723732011
83162.1161.3256660588210.774333941179265
84142.2143.165877883393-0.965877883392778
85141.4139.022799150572.37720084943001
86124.7124.864928135823-0.164928135823189
87114143.170115879426-29.1701158794258
88126.6118.5902869216948.00971307830588
89121.9136.628867189686-14.7288671896856
90125.1127.843674456522-2.7436744565224
91122.1121.9854615868750.114538413125246
92135.9147.364252207196-11.4642522071958
93148.4144.422428660093.97757133991038
94137.5139.721582528843-2.22158252884333
95145.3160.004715605443-14.7047156054434
96139.9137.3271838953292.57281610467101
97128.2135.68006196386-7.48006196386035
98115.4118.06081079513-2.66081079512979
99124.7117.0758883384177.62411166158346
100111.5123.266342255578-11.7663422555776
101121.1122.295704578738-1.1957045787378
102122.5123.608740001927-1.10874000192676
103127.4119.666950357057.73304964294964
104143.7139.4866185165954.21338148340496
105157.8149.5751330255948.22486697440613
106148.8141.8381629152636.96183708473666
107162.9157.1431538921835.75684610781713
108153.9149.1515050631444.74849493685602


Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
109141.406617179124129.050372233495153.762862124753
110127.400448551296114.621471934327140.179425168265
111133.89525133318120.496490331273147.294012335088
112125.967364911902112.207592956421139.727136867383
113135.248587930581120.678153390128149.819022471035
114137.307558410042122.113058613373152.502058206711
115139.273724885247123.437805739424155.109644031071
116156.957822687201139.630152314849174.285493059552
117169.65855869907150.976538992097188.340578406043
118158.359978394713139.825673108269176.894283681157
119172.225506261968152.108321390685192.342691133252
120161.598571755364134.580639386293188.616504124436