Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.100728105613193
beta0
gamma0.706402297696408


Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
13614651.525172725983-37.5251727259829
14647670.684799400148-23.6847994001478
15580582.366193489376-2.36619348937563
16614614.082108335153-0.0821083351529523
17636638.174882180815-2.17488218081451
18388385.9591403392022.04085966079765
19356394.926976308915-38.9269763089152
20639352.672465590974286.327534409026
21753693.55722789067159.4427721093285
22611732.547969407503-121.547969407503
23639664.801621910674-25.8016219106745
24630570.20434261314959.795657386851
25586684.778644320277-98.7786443202771
26695708.953919341885-13.9539193418846
27552629.015895313806-77.0158953138058
28619656.890366325891-37.8903663258913
29681677.188922344093.81107765590946
30421412.1320310598668.86796894013384
31307394.297058880402-87.2970588804023
32754548.078347243632205.921652756368
33690738.007640476895-48.0076404768953
34644650.364283790538-6.36428379053825
35643655.016731898568-12.0167318985677
36608615.297809380185-7.29780938018473
37651621.4578618054229.5421381945806
38691714.167953646476-23.1679536464757
39627590.36132606245236.6386739375477
40634656.629737764733-22.6297377647328
41731706.92773894495624.0722610550442
42475435.74617298177339.2538270182273
43337354.502513101708-17.5025131017079
44803720.35202868407882.647971315922
45722736.604638027393-14.6046380273928
46590676.10183672607-86.1018367260698
47724669.12301045894454.8769895410561
48627637.505502594523-10.505502594523
49696667.90337510201628.0966248979839
50825729.27138471700995.7286152829913
51677650.18827702758326.8117229724173
52656679.113810957953-23.1138109579528
53785763.60913757326621.3908624267337
54412486.525784079443-74.5257840794429
55352353.932010390557-1.93201039055725
56839799.5809690940139.4190309059899
57729748.091207851041-19.0912078510413
58696638.02523051830157.9747694816986
59641739.369895717159-98.3698957171586
60695648.51820685301446.4817931469859
61638711.124747901819-73.1247479018185
62762806.64707788869-44.64707788869
63635669.168037572516-34.1680375725161
64721660.22943633725360.7705636627469
65854782.13478503173171.8652149682692
66418444.066913202401-26.0669132024013
67367360.6645866861996.33541331380138
68824845.017958361628-21.0179583616283
69687748.612709808728-61.6127098087283
70601682.190300654261-81.1903006542611
71676669.4109014718986.58909852810211
72740680.9801840251959.0198159748098
73691668.26079833037522.7392016696249
74683793.770722055046-110.770722055046
75594654.717447856971-60.7174478569707
76729703.43579835564925.564201644351
77731828.604696928258-97.6046969282577
78386419.108486405942-33.1084864059417
79331356.880824472789-25.8808244727888
80706806.5251716464-100.525171646401
81715680.86911064199534.1308893580053
82657613.04089926046143.9591007395389
83653668.228632670744-15.2286326707435
84642710.107472507583-68.1074725075835
85643662.749894114399-19.7498941143987
86718696.89652408798921.1034759120112
87654604.37511756655849.624882433442
88632718.842688245944-86.8426882459437
89731752.99602607945-21.9960260794497
90392394.765325432344-2.76532543234441
91344340.1000456003033.8999543996967
92792747.6823816677344.3176183322699
93852721.199203322578130.800796677422
94649666.471440466248-17.4714404662477
95629678.199883454367-49.199883454367
96685682.8392993272592.16070067274075
97617672.847062803514-55.8470628035141
98715731.041817232163-16.0418172321632
99715650.77265525823264.2273447417683
100629679.867208951556-50.8672089515558
101916761.290149999896154.709850000104
102531414.330995039189116.669004960811
103357371.603349387028-14.6033493870279
104917836.96237644736180.0376235526387
105828869.245091697302-41.2450916973019
106708693.44129377671714.5587062232828
107858687.486984844789170.513015155211
108775750.86133239960224.1386676003976
109785701.0314027612883.9685972387201
1101006809.343633894797196.656366105203
111789796.57032178313-7.57032178312954
112734737.773987383306-3.77398738330567
113906984.09426384761-78.0942638476107
114532542.458664190362-10.4586641903621
115387392.075888372369-5.07588837236949
116991962.67769769466528.322302305335
117841908.330735465524-67.3307354655235
118892755.047910374334136.952089625666
119782865.880879179644-83.8808791796441
120813807.953883262625.04611673738043
121793792.7234873925030.276512607497125
122978967.74254174116210.2574582588376
123775803.9309183551-28.9309183550996
124797744.6713630173252.3286369826798
125946953.043956280599-7.04395628059876
126594550.64345039587143.3565496041286
127438403.54354264733434.4564573526662
12810221027.68207330509-5.68207330508676
129868903.510592234765-35.5105922347655
130795880.689443126828-85.6894431268275


Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
131827.429548585132730.229994148165924.6291030221
132834.599505198186736.481453704931932.71755669144
133815.2589480673716.331868304118914.186027830481
1341001.63937840422900.5279797856761102.75077702276
135806.666389269466706.34963912771906.983139411222
136801.510713192643700.379589898783902.641836486502
137970.7218365002866.577561635451074.86611136495
138591.883665574239491.727316897714692.040014250764
139432.044100698021332.789271702236531.298929693807
1401031.55768421552918.6570270253421144.4583414057
141887.78499969121778.181198893442997.38880048898
142835.49543354432750.709349608741920.2815174799