Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.370876029075295
beta0.00917590632326767
gamma0.738454701826832


Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
1317511719.3247863247931.6752136752134
1416881665.5024195353922.4975804646065
1519201906.4778506338213.5221493661791
1619411932.753860367558.24613963245497
1723112310.934520528420.0654794715842399
1822792283.62305943502-4.62305943501678
1926382534.59866547331103.401334526692
2024482523.78148398622-75.7814839862244
2122792262.7517965263516.2482034736495
2221632204.03400875496-41.0340087549639
2319412027.43197776787-86.4319777678672
2418781860.0737895931717.9262104068273
2517731807.86288028189-34.8628802818907
2616881724.89238920939-36.8923892093931
2717831939.26259152798-156.262591527977
2819841899.1314751543784.8685248456334
2922902301.20281992852-11.2028199285228
3025112266.76951606566244.230483934342
3127122660.3072389706451.6927610293592
3225222546.97432050347-24.9743205034697
3323422347.62221373666-5.62221373665989
3421952254.18595057483-59.1859505748307
3519312049.70394069797-118.703940697975
3619101918.69281956087-8.69281956086888
3717301831.82751398168-101.827513981682
3816881722.59338428064-34.5933842806396
3918991881.8819079786217.1180920213767
4019942018.19078449681-24.1907844968107
4123422334.923387697077.07661230293434
4225532425.74230927145127.257690728552
4327122685.8541964524726.1458035475271
4426272526.74728464529100.252715354707
4523632382.57435928028-19.574359280276
4623112258.7763643869452.2236356130593
4720262068.03920030668-42.0392003066763
4819102016.90755308185-106.907553081851
4917621850.35148721395-88.3514872139503
5018151777.3999603145337.6000396854679
5120051987.7821376781917.2178623218065
5220892105.23184533993-16.2318453399334
5326172439.76459499078177.235405009223
5428282650.4262506234177.5737493766
5529652883.2971189684881.7028810315164
5628912780.48509573632110.514904263682
5725322585.74542903569-53.7454290356854
5823632483.81026330298-120.810263302984
5922162185.6977111797330.3022888202727
6020262132.09678837825-106.096788378251
6118041975.30245427132-171.302454271318
6217731930.65888369338-157.658883693382
6320152059.04855112002-44.0485511200168
6420892137.9209542699-48.9209542699036
6526272549.7847707763177.2152292236892
6627122722.74189244967-10.7418924496706
6730072839.8238604137167.176139586301
6828802780.9806752560799.0193247439329
6924902504.50983878482-14.5098387848179
7022372384.9470432697-147.947043269695
7122052145.8593433793959.1406566206088
7219842038.56922925054-54.5692292505448
7318681869.75093895411-1.75093895410555
7418151894.06441631562-79.0644163156167
7520472104.38732335893-57.3873233589347
7621422176.00708122268-34.0070812226841
7727432652.0111458927190.9888541072869
7827752789.26912606169-14.269126061688
7930282987.7436356366140.2563643633903
8029652849.77638984234115.223610157656
8125012526.2388556632-25.2388556631995
8225012340.33506526898160.664934731023
8321312312.59344366138-181.593443661383
8420152063.05486835828-48.0548683582751
8519101921.07439941135-11.07439941135
8618681905.86354231503-37.8635423150315
8721212141.5295861511-20.5295861510963
8822682237.7983952060530.2016047939451
8926902796.02240591415-106.022405914146
9029332810.97840067866122.021599321339
9132183085.46058943942132.539410560581
9230283016.9905017471611.0094982528399
9326592589.635147016169.3648529839024
9424062525.59533785967-119.595337859665
9522582234.3625273037223.6374726962813
9620572123.1337702703-66.1337702702999
9718891991.72241417917-102.722414179175
9819841929.8577021136154.1422978863889
9921102207.79450039303-97.7945003930263
10023112298.8083290354512.1916709645479
10127852786.83675686715-1.8367568671456
10230392946.5026104696692.4973895303424
10332293214.946179767614.0538202324033
10430703045.6939353773524.3060646226454
10526592650.047533984648.95246601536473
10625432475.2764574695567.7235425304489
10722372320.15751414423-83.1575141442304
10821422127.3504852662914.6495147337059
10919622008.91160561495-46.9116056149464
11019102040.82208208466-130.822082084665
11122162179.1439983481736.8560016518281
11224372371.2227320758365.7772679241652
11328172872.81874608675-55.8187460867493
11431233056.3172757070566.6827242929476
11533453278.6832616305566.3167383694522
11631123133.6946567199-21.6946567199016
11726592713.81576912023-54.8157691202305
11824692542.4424587793-73.4424587792955
11923322264.1358054772267.8641945227819
12021102172.55582976034-62.555829760342
12119101996.39813698141-86.3981369814078
12219411974.06137250001-33.0613725000071
12322162226.25335250864-10.2533525086428
12423422413.84941662601-71.849416626013
12529232806.99644133954116.003558660459
12632293110.80062709088118.199372909122
12735133351.94739455725161.052605442747
12833553201.37267605302153.62732394698
12928492831.8926781259917.1073218740053
13026802679.548663478550.451336521454778
13123952495.55542378413-100.555423784134
13222052281.60881346916-76.6088134691572
13319942089.8013748092-95.8013748091998
13419522089.36316209138-137.36316209138
13522902313.72011341798-23.720113417985
13623952467.91144275713-72.9114427571285
13729652948.1396608245116.8603391754914
13832393216.0591586327722.940841367235
13936083441.32640449655166.673595503455
14035243288.94672005947235.053279940525
14130182886.07833579348131.921664206523
14226482768.80598583115-120.805985831148
14323632492.73079014099-129.730790140993
14422472278.80470787759-31.8047078775912
14519942094.56590682913-100.565906829134
14619412072.90401292734-131.904012927345
14722582351.95257303289-93.9525730328892
14823322456.8747753331-124.874775333102
14933232958.99203031108364.007969688918
15036083359.12138306392248.878616936075
15139573736.36397024969220.636029750312
15236723637.3542407445634.6457592554407
15331553113.1534376245141.8465623754928
15429332845.6625225261287.3374774738827
15525852643.94503430739-58.9450343073941
15623842503.31560835617-119.315608356168
15720572255.92771506693-198.927715066935
15821002184.14365374257-84.143653742567
15924582499.61629644854-41.6162964485434
16026382610.8405002489127.1594997510911
16132923398.24349674399-106.243496743993
16237243570.65573112627153.344268873727
16346523899.19549645225752.804503547752
16443793912.80756183053466.192438169474
16542313555.13157148651675.868428513486
16637563549.20512058659206.794879413407
16734293329.5249864987899.4750135012237
16834613225.83527882604235.164721173956
16933453080.36828030095264.631719699049
17042203242.84997435996977.150025640035
17148743984.31640185035889.683598149652
17250644488.68662852269575.313371477308
17359515435.07327439189515.926725608113
17467745978.61284371486795.387156285135
17579976845.732990666521151.26700933348
17675236897.29225587943625.707744120571
17774386720.05181081728717.948189182724
17868796535.81692056574343.183079434261
17964896341.33259746126147.667402538744
18062886343.19027267621-55.1902726762082
18159196127.37453517964-208.374535179635
18261836467.48848908012-284.488489080119
18365946718.15231259718-124.152312597184
18464896714.75890612939-225.758906129388
18580407348.02486053446691.975139465537
18697158098.854918718921616.14508128108
18797149450.6688998668263.331100133204
18897568940.68806664837815.311933351633
18985958889.20367662469-294.203676624687
19078618164.61661726071-303.616617260714
19177537646.35496899541106.645031004594
19281547545.55306139686608.446938603143
19377787513.75478047377264.245219526234
19474028004.45606828343-602.456068283429
19589038221.26514786969681.73485213031
19697428481.877060505861260.12293949414
1971137210109.96352065081262.03647934925
1981274111520.8881871151220.11181288498
1991373312115.30751809281617.6924819072
2001369112386.64923719921304.35076280081
2011223912025.3269899034213.673010096645
2021250211510.7021580318991.297841968151
2031124111693.6751686335-452.675168633534
2041082911647.0410297073-818.041029707292
2051156910949.9082759871619.091724012909
2061039711194.3943164791-797.394316479131
2071249311959.6833074299533.316692570101
2081196212457.6216661743-495.6216661743
2091397413453.1224182056520.877581794442
2101494514584.8583053721360.141694627922
2111680515057.28323151721747.71676848282
2121658715243.9582219311343.04177806901
2131422514403.0931671908-178.093167190824
2141415714115.921227004441.0787729956173
2151301613283.887689737-267.887689736966
2161225313144.9214078973-891.921407897347
2171170413096.6753827099-1392.67538270993
2181227511938.7531770061336.24682299386
2191369513748.3399439789-53.3399439789064
2201408213554.3175539049527.682446095123
2211655515408.70432888441146.29567111564
2221733916706.9688514463632.031148553728
2231777717935.0460062555-158.046006255514
2241759217230.6059314316361.394068568396
2251619415319.3328003875874.667199612461
2261533615528.3596438031-192.359643803104
2271420814469.3478689959-261.347868995912
2281311614046.0539761182-930.05397611823
2291235413754.0559000449-1400.05590004487
2301268213399.6236914745-717.623691474506
2311414114636.7799948154-495.779994815439
2321498914546.5115349338442.488465066153
2331615916654.3202515703-495.320251570298
2341827617096.86866533071179.13133466927
2351915718154.69699037711002.30300962293
2361873718119.7711188158617.228881184175
2371710916540.5551566073568.444843392663
2381709416137.9684675178956.031532482239
2391541815474.4009046987-56.4009046987103
2401431214818.7311743551-506.731174355125
2411326014469.1021449996-1209.10214499956
2421499014506.906048776483.093951224026
2431597516300.9018704797-325.90187047974
2441677016718.573675279151.426324720891
2451981918253.36542723091565.6345727691
2462098320252.9076029881730.092397011886
2472200121075.2382393437925.761760656278
2482233720845.9579208371491.04207916298
2492075019584.0583900331165.94160996701
2501996919601.0712647383367.928735261725
2511729318264.9711590729-971.971159072909
2521649817073.3444313846-575.344431384558
2531511716384.5479967099-1267.5479967099
2541605817199.2233444287-1141.22334442866
2551813718021.8160476145115.183952385494
2561847118786.7361936509-315.736193650864
2572139820895.938080381502.06191961898
2582385422116.34309146741737.65690853259
2592602523410.18035455182614.81964544821
2602547924082.61798450981396.3820154902
2612280422646.9233229846157.07667701539
2621961921927.9456685221-2308.94566852208
2631962718976.3709398667650.629060133269
2641848818576.1183379311-88.1183379310824
2651724317753.4227800978-510.422780097786
2661828418917.1461850425-633.146185042489
2672022620523.1633317527-297.163331752676
2682090320944.8434583587-41.8434583586968
2692376823546.3763623475221.623637652472
2702632325246.66982435471076.33017564529
2712803826710.36226958141327.63773041856
2722677626342.5868731094433.413126890599
2732288623973.9502120003-1087.95021200026
2742281321643.27738580841169.72261419163
2752240421364.37260262791039.62739737213
2761979520774.0643895809-979.064389580893
2771883919430.5934560556-591.593456055649
2781889220512.7707520046-1620.77075200456
2792082321910.8043105459-1087.80431054594
2802221222157.392319649354.6076803506548
2812507624916.9475763078159.052423692232
2822688426990.7506311877-106.750631187715
2833061128128.02951988242482.97048011758
2843022827772.84302171292455.15697828707
2852676225453.65077806971308.34922193026
2862588525075.1538973482809.846102651834
2872332824615.6925519231-1287.69255192306
2882193022229.8266564079-299.826656407859
2892143321326.0237493026106.976250697448
2902236922199.2703532565169.729646743497
2912450324525.177474591-22.1774745910116
2922590525717.5632196437187.436780356293
2933060528595.19756455972009.80243544031
2943498431258.5041678373725.49583216297
2953706035059.83589388562000.16410611445
2963450234550.656457592-48.6564575920202
2973179330799.5455630375993.45443696246
2982927530101.0649421019-826.064942101912
2992830528083.2401676455221.759832354543
3002524826744.1034657454-1496.10346574541
3012773025609.51859100082120.48140899919
3022742427289.4282562699134.571743730135
3033268429543.76870145463140.23129854539
3043136632047.789292217-681.789292217029
3053745935488.11500350691970.88499649311
3064106038972.36435099322087.63564900677
3074355841397.42552666952160.5744733305
3084239840029.17057721132368.82942278872
3093382737700.2899360727-3873.28993607272
3103496234376.4761269119585.523873088088
3113348033398.714726686281.2852733137915
3123244531238.65811335721206.34188664282
3133071532824.9964856447-2109.99648564472
3143040032037.3730979046-1637.37309790455
3153145135048.9423224747-3597.94232247466
3163130633273.4050457438-1967.40504574377
3174059237460.031652033131.96834797
3184413341423.81698039152709.18301960848
3194738744110.07429778433276.92570221571
3204131043253.1905666117-1943.19056661169
3213791336411.04202292931501.95797707074
3223435537156.463159527-2801.46315952705
3233460734680.9747902938-73.9747902938398
3242872932978.1701481027-4249.17014810273
3252613830974.0770019108-4836.0770019108
3263074529359.29979564961385.70020435043
3273501832555.81489335522462.1851066448
3283454933780.5720857376768.427914262371
3294098041355.4527443222-375.452744322167
3304286943814.6006274969-945.600627496919
3314502245389.3086416086-367.308641608572
3324038740723.4653782366-336.465378236564
3333818036050.9850720792129.014927921
3343860835005.0458838263602.95411617404
3353530836169.0934747513-861.093474751258
3363023432229.1321008065-1995.13210080651
3372880130790.4905997381-1989.49059973807
3383303433133.7897115563-99.7897115563319
3393529436286.2649532659-992.264953265927
3403318135437.9884113482-2256.98841134819
3414079741344.1191923736-547.119192373641
3424235543458.864935517-1103.86493551697
3434609845227.1444316357870.855568364277
3444243041022.65465633711407.34534366291
3454185138136.07700467753714.92299532251
3463933138362.2254720855968.774527914524
3473732836465.5996759288862.400324071234
3483451432634.04086022271879.95913977726
3493249432644.4373331774-150.437333177397
3503330836563.2107363795-3255.21073637953
3513680538135.5490423122-1330.54904231217
3523422136577.8539916447-2356.85399164469
3534102043244.5850590939-2224.58505909388
3544435044476.1053661071-126.105366107106
3554617347525.3137898347-1352.31378983469
3564443542738.86682083471696.13317916534
3574094341025.7506817426-82.7506817426329
3583926938549.008261411719.991738589022
3593590136491.2286499558-590.228649955759
3603214232569.2511516166-427.251151616576
3613123930748.4157846876490.584215312378
3623226133432.4337857292-1171.43378572917
3633495136648.7641508871-1697.76415088707
3643810934453.83851065943655.16148934064
3654316843407.9520682703-239.952068270257
3664554746353.4105103579-806.41051035795
3674956848581.2981096789986.701890321121
3684538746087.2014912307-700.201491230677
3694180542659.3735393734-854.373539373431
3704128140267.23083101791013.7691689821
3713606837708.5428005429-1640.54280054291
3723487933468.00880371241410.99119628761
3733279132756.860600508934.1393994910977
3743420634499.4208358435-293.42083584347
3753912837799.81707485991328.18292514008
3764024939227.2543950781021.74560492203
3774351945399.3970820117-1880.39708201172
3784613747471.9962198134-1334.99621981337
3795670950333.79600657336375.20399342668
3805230649069.71116511383236.28883488617
3814939747058.85063158092338.14936841909
3824550046758.1462984039-1258.14629840387
3833985742155.4958491533-2298.49584915328
3843795839118.1596871897-1160.15968718975
3853556736834.5626599704-1267.5626599704
3863769637958.5317631441-262.531763144128
3874231942040.2098375985278.790162401499
3883913742948.9786761683-3811.97867616828
3894706245976.57363103911085.42636896094
3905061049409.04163800251200.95836199749
3915445756808.531691442-2351.531691442
3925443550835.09992817893599.90007182114
3934851648528.5402285829-12.5402285829405
3944322545663.9597216983-2438.95972169832
3954215540114.73398198512040.2660180149
3963999539204.8388763137790.161123686317
3973754137590.7596216533-49.7596216532766
3983727739633.5315804527-2356.53158045268
3994177843183.1883707204-1405.18837072035
4004166641554.2975406081111.702459391883
4014961648313.05396679921302.94603320075
4025779351881.3367902595911.66320974102
4036188459394.99940252592489.0005974741
4046240058015.69077638044384.30922361955
4055082054358.4253914357-3538.42539143567
4065111649083.55635438962032.44364561039
4074573147313.4830215686-1582.48302156855
4084252844506.7546835221-1978.75468352214
4094045941493.6486813381-1034.64868133811
4104029542114.2258661348-1819.22586613482
4114414746321.7156465261-2174.71564652614
4124269745126.1078414317-2429.10784143174
4135256151501.28512898841059.71487101159
4145657257124.9664589025-552.966458902461
4155685860633.4452266252-3775.44522662515
4165836357772.4981692795590.50183072051
4174562748975.7219742284-3348.72197422841
4184562246308.2287537234-686.228753723357
4194130441790.0995103474-486.099510347383
4203601639149.280485235-3133.280485235
4213559236086.0585519579-494.058551957882
4223567736483.9265014496-806.926501449634
4233986440846.4429096845-982.442909684549
4244176139923.63486485841837.36513514162
4255038049465.2995390156914.700460984437
4264912954248.8053547255-5119.80535472548
4275506654513.739407733552.260592266975
4285567155248.1762662529422.823733747064
4294905844520.5706437774537.42935622296
4304450346003.0805749423-1500.08057494227
4314214541261.5982638112883.401736188775
4323869837889.0379566025808.962043397456
4333896337517.61345800231445.38654199769
4343869038499.6088519492190.391148050781
4353979243164.0449323146-3372.04493231464
4364254542670.4636291153-125.463629115293
4375014551054.2789591982-909.278959198244
4385816452350.36721710175813.63278289828
4395903559335.1458124649-300.145812464922
4405940859720.1795577237-312.17955772375
4415598850655.90687982465332.09312017539
4424732149655.305618243-2334.305618243
4434226945735.9781539157-3466.9781539157
4443960640724.8099561677-1118.80995616772
4453705939936.9572841454-2877.95728414541
4463796338720.6364536352-757.636453635219
4473104341363.3641667323-10320.3641667323
4484171239762.39443405411949.60556594591
4495036648520.00164955521845.99835044478
4505697753939.00314477643037.99685522361
4515680757022.3021299807-215.302129980679
4525463457401.7742209818-2767.77422098182
4535136750009.19982805031357.80017194973
4544807343919.65725677714153.34274322289
4554625141848.98560960434402.01439039571
4564373640842.68726609142893.31273390858
4573997540734.7628053576-759.762805357626
4584047841305.4876778415-827.487677841498
4594689539495.82419384367399.17580615637
4604614750243.4486672207-4096.44866722068
4615501156766.4745461254-1755.47454612541
4625779961447.1869940038-3648.18699400382
4636245060560.20334527681889.79665472322
4646389660562.62255385683333.37744614325
4655778457398.2823368587385.717663141346
4665323152292.4672296122938.532770387763
4675035449179.58463536481174.41536463516
4683841046298.9085666122-7888.90856661221
4694160040481.85257451611118.14742548385
4704147141710.8566013768-239.856601376785
4714628743936.34169017912350.65830982085
4724901347449.04985463171563.95014536826
4735662457156.3036272144-532.303627214438
4746173961412.8608898858326.139110114178
4756660064587.73417092442012.26582907561
4766005465321.6898295187-5267.68982951875


Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
47757584.184419407854398.599947881160769.7688909345
47852577.016780448949175.616685594955978.416875303
47949207.321473934645599.404406487252815.238541382
48041658.131588742937851.451623468445464.8115540173
48142955.907353691338957.032757698346954.7819496842
48243140.041819049638954.607833568547325.4758045307
48346659.525917615242292.418608775251026.6332264551
48448928.484835835744383.978384452853472.9912872186
48557070.050131412952351.911661856661788.1886009692
48661912.872275125557024.443438317566801.3011119335
48765739.049767260683.311288755870794.7882456442
48862326.659109918157106.282602477567547.0356173588