Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.999933893038648
betaFALSE
gammaFALSE


Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
28.95228.9634-0.0112000000000005
38.86828.95220074039797-0.0840007403979666
48.73318.8682055530337-0.135105553033698
58.31888.73310893141757-0.414308931417574
68.34628.318827388704520.0273726112954833
78.30878.34619819047984-0.0374981904798428
88.38368.308702478891430.0748975211085714
98.84128.383595048752470.457604951247534
109.50018.841169749127170.658930250872826
1110.18839.500056440123370.688243559876629
1210.293110.18825450230960.104845497690414
1310.194510.2930930689827-0.098593068982737
1410.301410.19450651768820.106893482311799
1510.067510.3013929335967-0.233892933596694
169.671510.0675154619511-0.396015461951123
179.50199.67152617937884-0.169626179378838
189.45979.50191121347128-0.0422112134712833
199.43629.45970279045506-0.0235027904550584
209.59199.436201553698060.15569844630194
2110.01679.591889707248830.424810292751172
2210.32210.01667191708240.305328082917605
2311.16610.32197981568820.844020184311779
2411.545411.16594420439030.379455795609704
2511.371211.5453749153304-0.174174915330386
2611.072311.3712115141744-0.298911514174396
2710.81311.0723197601319-0.259319760131914
2810.301610.8130171428414-0.511417142841362
2910.422710.30163380823330.121066191766703
3010.316210.4226919966819-0.106491996681941
3110.451910.31620703986230.135692960137691
3210.856710.45189102975070.404808970249272
3311.271610.8566732393090.41492676069095
3411.434111.27157257045270.162527429547334
3512.127311.43408925580550.693210744194502
3611.981412.1272541739441-0.145854173944125
3711.835211.9814096419762-0.14620964197624
3811.984711.83520966547520.149490334524849
3911.54511.9846901176482-0.439690117648233
4011.528511.5450290665776-0.0165290665776148
4111.553911.52850109268640.0253989073136349
4211.62211.55389832095540.0681016790445828
4311.657811.62199549800490.0358045019950648
4411.676711.65779763307320.0189023669268291
4511.875211.6766987504220.198501249578038
4613.264311.87518687768561.38911312231443
4714.229713.26420816995250.965491830047489
4814.30814.22963617426890.0783638257310955
4913.791514.3079948196056-0.516494819605601
5013.763313.7915341439031-0.0282341439030773
5113.977513.76330186647350.214198133526541
5213.647813.9774858400123-0.329685840012264
5313.224713.6478217945291-0.423121794529084
5413.097113.2247279712961-0.127627971296119
5513.103913.09710843709740.0067915629026345
5613.20613.10389955103040.102100448969587
5713.790113.20599325044960.584106749550434
5814.645713.79006138647770.855638613522316
5915.576414.64564343633120.930756563668755
6015.610215.57633847051180.033861529488183
6115.885515.61019776151720.275302238482821
6216.013715.88548180060560.128218199394439
6315.618616.0136915238844-0.395091523884446
6415.38415.6186261183001-0.234626118300101
6515.275115.3840155104197-0.108915510419735
6615.091215.2751072000734-0.183907200073438
6714.922215.0912121575462-0.169012157546168
6815.623114.92221117288020.700888827119833
6916.673715.62305366636941.05064633363061
7017.680516.67363054496341.00686945503657
7119.191917.68043343891981.51146656108015
7219.171119.1918000815385-0.0207000815384646
7318.565819.1711013684195-0.605301368419489
7418.128518.5658400146342-0.43734001463417
7516.79118.1285289112194-1.33752891121944
7616.946816.7910884199720.155711580027958
7717.316416.94678970638060.369610293619406
7817.181617.3163755661866-0.134775566186608
7916.762717.1816089096031-0.418908909603147
8017.23916.76272769279510.476272307204905
8117.883817.2389685150850.644831484915006
8218.903817.88375737214991.02004262785005
8320.027418.90373256808141.12366743191858
8420.008720.0273257177605-0.0186257177605036
8519.636620.0087012312896-0.372101231289605
8619.816319.63662459848170.179675401518281
8718.860219.8162881222052-0.956088122205177
8817.920618.8602632040805-0.939663204080542
8917.688917.9206621182791-0.231762118279114
9017.8417.68891532108940.151084678910603
9117.67817.839990012251-0.161990012250968
9217.725817.67801070866750.0477892913325206
9318.586517.72579684079520.860703159204835
9419.980418.58644310152951.39395689847048
9521.158419.98030784974521.17809215025481
9621.292121.15832211990780.133777880092246
9720.944521.2920911563509-0.347591156350852
9820.573120.9445229781951-0.371422978195142
9919.327420.5731245536445-1.24572455364446
10017.786619.3274823510649-1.54088235106492
10117.748317.78670186305-0.03840186305003
10217.564817.7483025386305-0.183502538630474
10317.476317.5648121307952-0.0885121307952339
10417.726417.4763058512680.250094148731993
10518.573617.72638346703580.847216532964222
10619.923618.57354399308941.3500560069106
10721.328619.92351075189971.40508924810027
10820.724921.3285071138194-0.603607113819379
10920.333420.7249399026321-0.391539902632147
11019.765820.3334258835132-0.567625883513212
11118.756919.7658375240223-1.00893752402234
11217.696318.7569666977939-1.06066669779391
11317.797817.69637011745240.101429882547599
11418.177117.79779329477870.379306705221325
11518.373818.17707492518630.196725074813703
11618.199618.3737869951031-0.174186995103081
11718.844318.1996115149730.644688485027046
11820.100118.84425738160321.25584261839677
11921.245820.10001698006061.14578301993944
12020.838121.2457242557662-0.40762425576618
12120.196720.8381269468009-0.641426946800923
12219.815920.1967424027864-0.380842402786381
12318.578419.815925176334-1.237525176334
12419.2118.5784818090290.631518190970997
12519.341919.20995825225140.131941747748641
12619.1219.341891277732-0.221891277731977
12719.156319.12001466855810.0362853314418778
12818.978319.156297601287-0.177997601286997
12920.291318.97831176688051.31298823311945
13022.543920.29121320233762.25268679766238
13123.282122.54375108172090.738348918279069
13222.619123.2820511899966-0.662951189996594
13322.159922.6191438256887-0.459243825688695
13421.276622.1599303592138-0.883330359213836
13519.084621.2766583942859-2.19205839428592
13618.909619.0847449103196-0.175144910319549
13718.809518.9096115782978-0.10011157829782
13820.116418.80950661807221.30689338192776
13920.776220.11631360524970.659886394750291
14020.904420.77615637691560.128243623084394
14122.002620.90439152220381.09820847779624
14223.640122.00252740077461.6375725992254
14325.0423.63999174505151.40000825494853
14424.718525.0399074497084-0.321407449708399
14524.175224.7185212472699-0.543321247269855
14624.138224.1752359173167-0.0370359173166932
14722.394924.138202448332-1.74330244833196
14821.374322.3950152444276-1.02071524442757
14921.491121.37436747638320.116732523616783
15021.218721.4910922831676-0.272392283167573
15121.213721.2187180070261-0.00501800702613409
15221.673521.21370033172520.459799668274805
15322.509621.67346960404110.8361303959589
15424.309722.50954472596021.80015527403977
15525.798924.30958099720491.48931900279513
15625.437625.7988015456462-0.361201545646242
15723.87825.4376238779366-1.55962387793662
15823.696623.8781031019954-0.181503101995421
15923.354423.6966119986186-0.342211998618552
16021.199323.3544226225954-2.15512262259536
16122.043121.19944246860790.843657531392079
16222.020322.0430442283642-0.0227442283641786
16321.88622.0203015035518-0.134301503551825
16421.977121.88600887826430.0910911217356976
16523.075921.97709397824271.09880602175727
16624.985923.07582736127281.91007263872721
16726.261424.98577373090191.2756262690981
16826.112726.2613156722235-0.148615672223528
16925.629626.1127098245305-0.483109824530501
17025.292625.6296319369225-0.3370319369225
17122.814625.2926222801572-2.47802228015723
17222.297422.8147638145231-0.517363814523101
17322.886822.29743420134970.589365798650309
17422.461222.8867610388179-0.425561038817925
17522.316522.4612281325471-0.144728132547147
17622.731922.31650956753710.415390432462932
17723.269222.73187253980070.537327460199268
17824.943223.26916447891441.67403552108565
17927.827224.94308933459852.88411066540149
18027.405927.8270093402077-0.42110934020771
18126.623227.4059278382589-0.782727838258875
18226.877926.6232517437590.254648256241047
18325.10526.8778831659776-1.77288316597757
18423.60125.1051171999189-1.50411719991894
18523.537423.6010994326176-0.0636994326176001
18623.524823.5374042109759-0.0126042109759332
18722.946523.5248008332261-0.578300833226088
18823.663322.94653822971080.716761770289168
18925.593223.66325261705741.92994738294265
19027.768325.59307241704292.17522758295706
19129.469127.76815620231421.70094379768576
19228.347229.4689875557741-1.12178755577411
19328.387928.34727415796660.0406258420334034
19427.969628.387897314349-0.418297314349029
19526.007527.9696276523644-1.96212765236439
19624.253326.0076297102969-1.75432971029688
19724.499924.25341597340640.246484026593645
19823.898824.49988370569-0.60108370568998
19923.668323.8988397358173-0.230539735817302
20023.942723.66831524028140.274384759718593
20126.015523.94268186125732.07281813874271
20228.952926.01536297229142.93753702770859
20330.30228.95270580835321.34929419164676
20429.87430.301910802261-0.427910802261021
20528.225729.8740282878829-1.64832828788287
20628.081128.2258089659744-0.144708965974424
20726.339828.08110956627-1.74130956627002
20825.484726.3399151126842-0.855215112684199
20925.482325.4847565356724-0.00245653567240467
21024.969725.4823001623941-0.512600162394108
21125.228224.96973388643910.258466113560878
21225.925725.22818291359060.697517086409377
21328.781825.92565388926492.85614611073508
21427.955228.7816111888594-0.826411188859442
21533.347527.95525463153255.39224536846747
21632.783433.3471435350438-0.56374353504382
21731.658632.7834372673721-1.12483726737209
21831.661331.65867435957380.00262564042623836
21929.183931.6612998264269-2.47739982642689
22028.882529.1840637733746-0.301563773374578
22127.633428.8825199354647-1.24911993546471
22227.751127.63348257552330.117617424476702
22327.379227.7510922246695-0.371892224669466
22427.774827.37922458466490.395575415335074
22531.432927.77477384971133.65812615028869
22633.273531.4326581723961.84084182760403
22735.096233.27337830754041.82282169245956
22834.953735.0960794987968-0.142379498796828
22931.830734.953709412276-3.12300941227602
23030.998431.8309064526625-0.832506452662518
23128.62930.9984550344719-2.36945503447189
23226.437928.6291566374724-2.19125663747239
23325.440826.4380448573178-0.997244857317845
23424.668125.4408659248272-0.77276592482724
23524.099424.6681510852071-0.568751085207126
23624.604324.0994375984060.504862401593989
23727.249224.60426662508072.64493337491927
23829.551127.24902515149162.3020748485084
23929.852229.5509478168270.301252183173037
24031.698929.85218008513361.84671991486643
24129.635731.698777918958-2.06307791895796
24230.519729.63583638381230.883863616187746
24332.782330.51964157046212.26265842953791
24424.994232.7821504225266-7.78795042252665
24523.518724.9947148377376-1.47601483773759
24624.024923.51879757485580.506102425144167
24724.569224.02486654310650.544333456893458
24824.40224.5691640157692-0.167164015769199
24926.708924.40201105070512.30688894929487
25031.687426.70874749858144.97865250141862
25132.880131.68707087641151.1930291235885
25232.790632.8800211324698-0.0894211324698375
25330.878532.7906059113593-1.91210591135934
25430.302430.8786264035116-0.576226403511583
25528.367930.3024380925766-1.93453809257659
25625.657828.3680278864349-2.71022788643492
25725.159825.6579791649301-0.498179164930143
25824.614325.1598329331108-0.545532933110803
25924.52824.6143360635245-0.0863360635245272
26025.290524.52800570741480.762494292585188
26130.001625.29044959381934.71115040618073
26234.272830.00128856016224.27151143983782
26334.440834.27251762335830.168282376641677
26434.190734.4407888753634-0.250088875363431
26533.663634.1907165326156-0.527116532615615
26633.907333.66363484607220.243665153927751
26730.217533.9072838920371-3.68978389203708
26828.527430.2177439204011-1.69034392040115
26925.950528.5275117435002-2.57701174350021
27026.239825.95067035841570.289129641584267
27126.281926.2397808865180.0421191134820447
27226.736226.28189721563340.454302784366607
27328.839526.73616996742342.10333003257661
27431.095128.83936095524282.25573904475717
27533.701531.09495087994612.60654912005386
27633.809133.70132768895810.107772311041941
27732.112633.8090928755-1.6964928755
2783232.112712149989-0.112712149988958
27929.12232.0000074510577-2.87800745105774
28026.812429.1221902563273-2.30979025632734
28125.465426.8125526932152-1.34715269321521
28223.833125.465489056171-1.63238905617102
28324.71423.83320791228020.880792087719751
28428.328824.71394177351153.6148582264885
28529.639128.32856103270691.31053896729307
28632.454229.63901336425112.81518663574886
28733.565732.45401389656591.11168610343412
28833.185633.5656265098097-0.380026509809724
28933.29733.18562512239780.111374877602202
29033.5133.29699263734530.213007362654729
29131.378933.5099859187305-2.13108591873051
29229.455531.3790408796145-1.92354087961447
29327.269929.4556271594426-2.18572715944259
29427.258627.2700444917809-0.0114444917808534
29527.859127.25860075656060.600499243439426
29629.636227.85906030281971.77713969718027
29730.958729.63608251869471.32261748130528
29831.863330.95861256577730.904687434222719
29933.818831.86324019386271.95555980613726
30033.753133.8186707238835-0.0655707238834751
30133.610333.7531043346813-0.142804334681308
30232.905233.6103094403606-0.705109440360637
30329.500532.9052466126425-3.40474661264252
30427.363429.5007250774527-2.13732507745274
30527.229827.3635412920663-0.13374129206629
30626.521127.2298088412304-0.708708841230425
30726.522826.5211468505880.00165314941202155
30827.299126.52279989071530.776300109284684
30929.172627.29904868115871.87355131884132
31030.29729.17247614521541.12452385478463
31132.528730.2969256611452.23177433885501
31232.48732.52855246418-0.041552464180036
31332.419732.4870027469071-0.0673027469071457
31430.85432.4197044491801-1.56570444918009
31528.699530.8541035039635-2.15460350396351
31627.788128.6996424342906-0.911542434290567
31726.560927.7881602593005-1.22726025930048
31825.943126.5609811304465-0.617881130446531
31925.557825.943140846244-0.385340846244013
32027.127525.55782547371241.56967452628757
32130.255627.12739623358683.12820376641324
32234.097630.25539320395453.84220679604548
32334.561434.09734600338380.464053996616173
32434.294834.5613693228004-0.266569322800379
32533.341834.2948176220879-0.95301762208792
32631.818733.3418630010991-1.52316300109911
32729.081831.8188006916776-2.73700069167764
32827.344429.0819809347989-1.73758093479895
32926.623327.3445148661957-0.721214866195702
33026.186926.6233476773233-0.436447677323287
33126.295326.18692885222970.108371147770264
33228.704326.29529283591272.40900716408728
33332.065328.70414074785653.36115925214349
33434.540132.06507780397522.47502219602478
33534.663634.53993638380330.123663616196659
33634.255734.6635918249741-0.407891824974108
33732.052634.2557269644891-2.20312696448911
33830.689232.0527456420291-1.3635456420291
33928.01230.6892901398591-2.67729013985906
34026.152828.0121769875158-1.85937698751581
34123.227626.1529229177627-2.92532291776265
34224.24423.22779338420911.01620661579094
34324.814124.24393282166850.570167178331477
34427.863224.81406230798043.04913769201962
34529.623327.86299843077241.76030156922756
34632.424529.62318363181222.80131636818781
34733.341732.42431481348710.917385186512888
34833.044233.3416393544529-0.297439354452933
34932.052633.0442196628119-0.991619662811907
35030.218232.0526655529627-1.83446555296272
35128.929230.2183212709434-1.28912127094341
35226.822128.92928521989-2.10718521989004
35326.103226.8222392996119-0.71903929961189
35425.979226.1032475335032-0.124047533503191
35527.144325.97920820040551.1650917995945
35629.499327.14422297932142.35507702067857
35731.65629.49914431301442.15685568698558
35833.366531.65585741682451.71064258317555
35935.052133.36638691461691.68571308538314
36034.407635.0519885626302-0.644388562630212
36133.06934.4076425985698-1.33864259856981
36231.581633.0690884935945-1.48748849359453
36330.069531.5816983333444-1.51219833334436
36429.003530.0695999668368-1.06609996683678
36528.681329.0035704766293-0.322270476629303
36628.35928.6813213043219-0.322321304321942
36730.044728.3590213076821.68567869231799
36831.507330.04458856490381.46271143509617
36934.1631.50720330459172.65279669540831
37035.5734.15982463167141.41017536832862
37136.4235.56990677759140.850093222408574
37235.1236.4199438029202-1.2999438029202
37333.1435.1200859353347-1.98008593533473
37430.2933.1401308974644-2.8501308974644
37528.230.2901884134931-2.09018841349309
37626.528.2001381760047-1.70013817600467
37725.4726.5001123909687-1.0301123909687
37824.9625.4700680976-0.510068097600016
37925.624.9600337190520.639966280947984
38027.7625.59995769377382.1600423062262
38130.1327.75985720616672.37014279383325
38232.3530.12984331706192.22015668293807
38332.832.3498532321880.450146767812029
38432.5432.799970242165-0.259970242165018
38529.7832.5400171858427-2.76001718584275
38628.7929.7801824563494-0.990182456349437
38726.828.7900654579534-1.99006545795337
38825.4126.8001315571803-1.39013155718032
38924.3425.4100918973731-1.07009189737312
39024.3924.34007074052370.049929259476297
3912524.38999669932840.610003300671625
39226.2724.99995967453541.27004032546462
39327.8826.26991604149331.61008395850671
39429.3527.8798935622421.47010643775802
39529.8329.34990281573050.480097184269461
39629.4629.829968262234-0.369968262233993


Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
39729.460024457477626.667114476120232.252934438835
39829.460024457477625.510383834882233.409665080073
39929.460024457477624.622775659726434.2972732552288
40029.460024457477623.874481438662435.0455674762928
40129.460024457477623.215218159542935.7048307554123
40229.460024457477622.619196979575936.3008519353793
40329.460024457477622.071097913919136.8489510010362
40429.460024457477621.56093904524237.3591098697133
40529.460024457477621.081786860376237.838262054579
40629.460024457477620.628593083279338.2914558316759
40729.460024457477620.197546657187738.7225022577675
40829.460024457477619.785686760014739.1343621549406