Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.0374406816921577
beta0.180510709878271
gamma0.605025766097544


Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
1357.957.948705144157-0.0487051441569477
1463.763.63035858937030.0696414106296857
158584.85454622467340.145453775326558
1666.165.87799202774220.222007972257813
1780.279.65254663323780.547453366762184
1883.482.467837729390.932162270610036
1985.783.14176378679532.55823621320472
2081.879.73737576605082.06262423394917
2169.469.2323724826590.167627517340946
2276.472.40890700882843.99109299117163
2390.387.65674245811752.64325754188252
24157.3154.2368409172383.06315908276193
2565.359.84899636614935.45100363385067
2668.466.13631542386242.26368457613756
2772.788.5151219120917-15.8151219120917
2886.668.376134609278418.2238653907216
2982.683.8688571282422-1.26885712824222
3084.887.190333725817-2.39033372581697
3193.488.94854535915284.45145464084719
3282.285.3169164453911-3.11691644539114
3375.273.04061818279832.15938181720171
3483.978.96147748902164.9385225109784
3585.494.4595676702692-9.05956767026915
36166.3164.6365292903571.66347070964289
3770.466.53912216577773.86087783422234
3873.971.1991063515612.70089364843899
3982.483.7262544660784-1.32625446607841
4092.384.020531337288.27946866272
4182.788.061233125874-5.36123312587405
4295.890.77593658858155.02406341141847
43105.897.24904676918758.55095323081251
4484.288.948820865085-4.74882086508491
4582.779.18654302833253.51345697166754
4688.487.37221850137521.02778149862480
4790.295.1061723789435-4.90617237894347
48176.6177.141954535683-0.541954535683431
4969.573.6173444021006-4.11734440210057
5077.377.5777153804241-0.277715380424141
5198.688.300642428607210.2993575713928
5286.495.1056862137858-8.70568621378584
5390.890.26175618176420.538243818235756
54101.599.83498200188061.66501799811938
55112.2108.7353048449723.46469515502804
5693.691.43773087152872.16226912847132
5793.886.43531032505087.36468967494922
5890.893.7751873908708-2.97518739087077
5998.198.1667570034802-0.0667570034802196
60187.6188.596943934841-0.996943934841454
617575.9700538521501-0.970053852150102
6283.782.76591055886780.934089441132244
6399.7100.909547260828-1.20954726082755
64104.995.87528606258069.0247139374194
6598.997.24059022093961.65940977906040
66117.3108.3845290690198.91547093098099
67115.7119.549984834011-3.84998483401083
68102.299.92702014977962.27297985022045
69101.997.8857087147224.01429128527796
7096.699.2304817071666-2.63048170716661
71110105.8954487119704.10455128803022
72203.7203.4050704277540.294929572246417
7382.381.68264457506360.617355424936434
7493.390.4197220085172.88027799148301
75121.9108.98052903639812.9194709636017
76100.9110.739123801432-9.83912380143195
77107.7106.9180783113870.781921688613053
78130123.6913345704346.30866542956579
79123.2127.698680615347-4.49868061534676
80116.1110.2724367249775.82756327502264
81105.3109.358056609725-4.05805660972473
82107.7106.3208319230021.37916807699769
83123.9118.0747124014935.82528759850682
84205.2222.200796333604-17.0007963336039
8590.389.29116709515081.00883290484919
86106.9100.2544171006266.64558289937432
87122.4126.991486755384-4.591486755384
88111.3113.733232389089-2.43323238908924
89122.6116.5799589354046.02004106459587
90124.8138.512650576417-13.7126505764169
91139.5135.1402820541594.35971794584052
92118.8123.056360645890-4.25636064588959
93111115.337491648461-4.33749164846083
94121.2115.3577288166685.84227118333246
95120.6130.879044028428-10.2790440284283
96219.1227.273459470361-8.17345947036134
97101.396.24954326399825.05045673600178
98105111.551212903444-6.5512129034437
99113.4132.327383735175-18.9273837351754
100133.6118.77593944507414.8240605549257
101123.9127.485700584144-3.58570058414379
102136.2137.851549927542-1.65154992754162
103151.7145.6988033434746.00119665652565
104121.9127.467128760491-5.56712876049113
105120.2119.0462329785341.15376702146578
106132.2125.4047308301196.79526916988065
107125.2131.746027470783-6.54602747078293
108233.8234.800218574158-1.00021857415777


Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
109104.72088676716797.1658108821946112.275962652140
110113.405032371249105.827662374376120.982402368121
111127.840307448734120.223906734607135.456708162860
112135.06758713278127.40340878845142.731765477110
113132.294141308603124.589058638876139.999223978329
114144.532266559535136.733869779740152.330663339330
115157.557334633567149.629342512148165.485326754985
116130.924831635917123.045170184615138.80449308722
117126.364465653528118.433023114808134.295908192247
118136.453592955893128.364269614092144.542916297694
119134.595071071724126.417053045136142.773089098312
120246.821782631884223.808026154102269.835539109665