Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.152389418657338
beta0.0403497841851909
gamma0.289315718348342


Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
13102.799.85415776648042.84584223351962
1475.473.86407647569961.53592352430037
1587.285.81492771850641.38507228149356
1683.782.36839556526891.33160443473115
17105.8103.8646666592061.93533334079383
18111.5109.2594124506232.24058754937664
1999.7103.552937819575-3.85293781957476
20111.2111.592282860904-0.392282860904231
21101.5101.0236809424440.476319057555585
22110.9101.5660285983229.33397140167772
23116.3111.7685035443994.5314964556013
24164.9161.5795830816823.32041691831793
25118.1110.9488295039867.15117049601382
2683.782.45722314037251.24277685962748
278495.7097150921302-11.7097150921302
28107.289.961800944224317.2381990557757
29113.7116.677877146881-2.97787714688113
30120.7122.089478988153-1.38947898815346
31111.2113.617386421764-2.41738642176409
32112.4123.875711719721-11.4757117197207
33112.5110.8873899599131.61261004008730
34130.4114.05002803767916.3499719623206
35130.7125.0369648498725.66303515012832
36174.3180.148818447016-5.84881844701641
37132.2124.0534716617328.14652833826754
3891.891.16561781126430.634382188735714
39104.2102.1178049529492.08219504705104
40104.8105.946193936461-1.14619393646073
41131.4126.6780957362894.72190426371127
42141.2134.3487235300086.85127646999155
43132.7125.9960731957316.70392680426896
44135.7136.595426964986-0.8954269649862
45136.9127.4670688204989.4329311795017
46151.2136.59821418901214.6017858109880
47144145.803742351963-1.80374235196251
48201.5204.568736053253-3.06873605325254
49149.6144.8459132696674.75408673033252
50108.7104.5508479468364.14915205316417
51122.8118.2295141879504.57048581205039
52126.7122.2299405179044.47005948209616
53139.9149.170215243516-9.27021524351608
54162.5156.4931271346526.00687286534759
55142.7146.699640439811-3.99964043981112
56151.6154.930791018806-3.33079101880574
57148.1147.1384134805550.961586519445149
58159157.2950524533721.70494754662803
59157.8160.765946370615-2.9659463706154
60226.7225.1159375387791.58406246122121
61153.7161.762691979094-8.06269197909418
62122.3115.4083064882516.89169351174898
63117.6130.795358567693-13.1953585676933
64166132.12724126968133.8727587303188
65154.5162.577769569462-8.07776956946228
66183.9175.160680901118.73931909889018
67164.4161.8576686840002.54233131599972
68173.3172.3378599158490.9621400841514
69160.2165.534649711094-5.33464971109444
70166.4176.118688701466-9.71868870146588
71170.3176.877063656989-6.57706365698888
72238.4248.438145850133-10.0381458501329
73166.8174.649207746374-7.84920774637393
74122.5128.014099723703-5.51409972370283
75141.8137.1046771186954.69532288130526
76140.5153.763910712417-13.2639107124170
77173.8167.0174645087366.78253549126444
78188.8186.6558867666212.1441132333795
79168169.776545813552-1.77654581355222
80187.4179.2750991790898.1249008209109
81177.7171.3525719276436.34742807235699
82183.8182.9560115532450.84398844675485
83196.1186.1022521741739.99774782582668
84264.6264.70569713596-0.105697135960042
85193.7186.9693504150606.7306495849397
86141.3138.8371268420742.46287315792557
87170.1153.03942281651317.0605771834873
88163.7168.661514288136-4.96151428813573
89190.1190.946882434901-0.846882434900749
90230.7210.64899439838520.0510056016149
91195.9193.2531897909382.64681020906161
92210.3207.9084504928582.39154950714226
93204.7197.5543789522177.14562104778307
94210.3209.5043064146330.79569358536736
95221.2215.8761728773745.32382712262589
96288.2302.03938884432-13.8393888443202
97203.2213.908324541505-10.7083245415054
98162.4156.1294982000616.27050179993947
99149.2176.639134446847-27.439134446847
100195.3180.50630074410814.793699255892
101213.7209.0547078561304.6452921438696
102227.9237.096744304260-9.19674430425965
103212.1208.8575315796313.24246842036882
104226.8224.4435079901242.35649200987592
105212.6214.325818835862-1.72581883586176
106220.9223.761351406124-2.86135140612356
107228.1230.891271727254-2.79127172725376
108311.6315.294264877466-3.69426487746625


Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
109223.972630086684217.537735902683230.407524270686
110168.283969247903161.569803264235174.998135231571
111179.897323263878172.595500523373187.199146004382
112199.781434347138191.714430661169207.848438033106
113225.147416182435216.111379710796234.183452654075
114250.501208821895240.383009309149260.619408334642
115224.851043074167214.913794158129234.788291990204
116240.616902366314229.736149297275251.497655435353
117228.211020791761217.233978052832239.188063530690
118238.125826675523226.317468962718249.934184388328
119246.102538660923233.500227836307258.70484948554
120336.558436973491319.414273267573353.702600679409