Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.3969420535359
beta0.0141114199930199
gamma0.748470071977163


Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
13128132.711239909822-4.71123990982153
14158162.035845855414-4.03584585541398
15186189.872729176268-3.87272917626845
16165167.325171462959-2.32517146295910
17191193.090291447698-2.09029144769787
18168169.380749569493-1.38074956949299
19171166.7743965012054.22560349879512
20169186.777689862744-17.7776898627438
21157156.5347478063370.465252193663417
22175169.1844398233875.81556017661254
23156159.642212085019-3.64221208501897
24129126.6315514869382.36844851306249
2589108.830295004100-19.8302950041004
26138125.10636426553712.8936357344631
27146153.961101046977-7.96110104697655
28151133.90227523616417.0977247638365
29156163.126103617622-7.12610361762194
30129141.027605450006-12.0276054500063
31146136.1407474449419.85925255505938
32141146.248096189310-5.24809618931027
33137131.2717687777505.72823122224952
34155145.8580815419089.14191845809154
35147135.37510130635511.6248986936453
36128114.08779133324213.9122086667578
379292.2353524910681-0.235352491068141
38136131.1686450940794.83135490592053
39159147.24188586463811.7581141353619
40131146.173778234449-15.1737782344485
41134151.040510383096-17.0405103830955
42148124.34587548461023.6541245153904
43146143.9717650715422.02823492845809
44144144.413956293347-0.413956293347411
45161136.46701363023224.5329863697678
46140161.582316185765-21.5823161857653
47141140.1601934704170.839806529582859
48139116.27766308360222.7223369163978
499491.8489413263682.15105867363202
50136134.5464007161891.45359928381100
51164152.48669036029111.5133096397090
52141139.1206400302291.87935996977117
53159150.4617142557348.53828574426637
54162151.94961172076110.0503882792389
55154156.979452763920-2.97945276392025
56166154.71729941120211.2827005887980
57156162.851672916130-6.85167291613024
58147154.32957591457-7.32957591457014
59161148.94912054519112.0508794548088
60135137.762111693425-2.76211169342454
619893.72059733803994.27940266196015
62150137.96453497706812.0354650229324
63173166.0132482737336.98675172626656
64144145.910747362506-1.91074736250616
65167159.4025010004787.59749899952249
66161161.341465694832-0.341465694831726
67156156.534217737577-0.534217737576796
68175161.83341962571113.1665803742893
69163162.6418971155920.35810288440814
70159156.7752531849242.22474681507646
71167164.5607847497592.43921525024095
72148142.2265603995645.77343960043552
73119102.28867597765316.7113240223466
74150160.756366135467-10.7563661354669
75161178.968330529485-17.9683305294851
76136145.093550740936-9.0935507409362
77166159.6936419725416.3063580274586
78155157.718226366012-2.71822636601217
79140152.069585565496-12.0695855654961
80141158.102515288249-17.1025152882493


Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
81142.136324689947124.722436441939159.550212937954
82137.371135600819118.188185783879156.554085417759
83143.141605675039121.884313834243164.398897515835
84124.117359846772102.392175413404145.842544280141
8592.041873460655471.1085742980996112.975172623211
86122.65145047378796.6429781166018148.659922830972
87137.486923677882107.826741531098167.147105824666
88118.01250119346389.772109282876146.252893104049
89139.307014715856105.863473255490172.750556176223
90131.77035283365098.2106089764762165.330096690825
91123.88731905228390.3695367839728157.405101320592
92130.84111234286893.385530154248168.296694531489