Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.743331568035105
beta0
gamma0.279961603309045


Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
81804917372.7567387476676.243261252414
92437724289.956527585587.043472414498
104803348388.3747710193-355.374771019291
116141066277.3823707524-4867.38237075241
124063740365.9730712412271.026928758809
133791437917.50407096-3.50407095999981
142248126641.81846967-4160.81846967
151706114963.45952361812097.54047638186
162192122395.7935260229-474.793526022931
173404343758.849754629-9715.84975462896
183615250057.9884092216-13905.9884092216
193892925738.430046545413190.5699534546
203671333203.39525626683509.60474373322
212792824844.32710992133083.67289007869
221417817625.3930105026-3447.39301050256
231933120200.2395221326-869.239522132615
243503038133.3035149225-3103.30351492247
253783448782.2513379697-10948.2513379697
264525727737.393882026417519.6061179736
273965037350.9438519192299.05614808096
283300127128.59818614535872.40181385473
292226819957.21194985482310.78805014518
303428329463.75429684974819.24570315028
316373364262.3344802636-529.334480263577
325454885837.2436833299-31289.2436833299
333166644905.6395041658-13239.6395041658
343265431297.65964173471356.3403582653
352840922640.430851675768.56914833004
361623416966.4127640721-732.412764072073
371954422383.1180478607-2839.11804786069
383337538983.1081487566-5608.10814875657
393083945123.4283626746-14284.4283626746
402758124978.48137952172602.51862047827
412859624762.9074627993833.09253720098
422854219587.99960535998954.00039464009
431428516231.9181355921-1946.91813559211
442079920011.8821121666787.117887833374
452872939546.6632628758-10817.6632628758
463027840081.9215484872-9803.92154848725
473126624637.36852970186628.63147029823
483834127286.015287432411054.9847125676
492493825552.1260369842-614.126036984173
501570015006.4831957025693.516804297458
511738221269.3924931165-3887.39249311651
523422934322.5488607636-93.5488607635561
532958443722.6356903429-14138.6356903429
543390925911.10315843367997.89684156638
552939729583.2544679639-186.254467963881
562464420689.05611057063954.94388942939
571412414199.326698821-75.3266988210416
581877019023.7067303962-253.706730396192
593268135709.4405732998-3028.44057329983
603051841409.3909970975-10891.3909970975
613431027293.95820183447016.04179816558
622421729641.2460602513-5424.24606025129
631580618217.1099570482-2411.10995704822
64123629746.839761556782615.16023844322
651375115713.9134184283-1962.91341842834
662531226871.3278151653-1559.32781516528
672354931273.1655699403-7724.16556994027
683030521749.41465017618555.58534982389
693041124851.1927928565559.80720714396
701559320717.3833803361-5124.3833803361
711738210303.98090920127078.01909079882
721580620390.1280976707-4584.12809767067
732918332196.2374912426-3013.23749124259
743334835803.0009830749-2455.00098307494
753358930242.3032303753346.69676962498
763019828710.0138791951487.98612080501
772346920564.75027421522904.24972578478
781559314621.6223628142971.377637185786
791647419085.8489811534-2611.8489811534
802734132906.8297576163-5565.82975761626
812667334454.3274687401-7781.32746874007
823326825836.58658822517431.41341177491
832640627405.2135026603-999.213502660292
842365618490.88161179495165.11838820508
851508614302.3604187218783.639581278198
861831618229.191257723486.8087422765893
872752835009.4217467591-7481.42174675912
883030535067.6206261782-4762.62062617821
893455029472.40200613215077.59799386785
903471028490.85329743916219.14670256088
912384323412.7426415936430.257358406365
921236215008.9195694608-2646.91956946079
932120015915.52525644475284.47474355534
942726137271.1195639552-10010.1195639552
953158635791.0248322894-4205.0248322894
963332231210.99742737982111.00257262023
973281428160.64190699564653.35809300443
982197422086.6670790338-112.667079033759
991711513693.70090203253421.29909796755
1001444520495.8911044796-6050.89110447964
1012667328769.3817097423-2096.38170974226
1023174633144.2814619048-1398.28146190481
1032824931105.0612654841-2856.06126548412
1042910325043.01642288544059.98357711465
1052197419387.11291939722586.88708060277
1061762213467.99509892844154.00490107158
1072106620027.3078475971038.69215240297
1082838238241.6324853975-9859.63248539753
1093214737747.1264185441-5600.12641854407
1103588532410.50452805823474.49547194175
1114082430773.34631450710050.653685493
1122862226383.35600717572238.6439928243
1132429717892.02445934086404.97554065923
1143046527017.62085631953447.37914368047
1154792752956.5486891278-5029.54868912783
1165166560785.532370036-9120.53237003605
1175705853139.76580596413918.2341940359
1184840749878.9158141574-1471.91581415744
1193001133223.7089764726-3212.70897647255
1202141319956.62612025181456.37387974822
1213051824798.25837909745719.74162090257
1224117151196.186384689-10025.186384689
1233748753762.260916451-16275.260916451
1244445641703.58703909662752.41296090344
1254146538648.43995364082816.56004635915
1262840927596.4746734655812.525326534545
1273487018479.666076901216390.3339230988
1282955736476.0111057168-6919.01110571681
1294493653553.6067421878-8617.60674218782
1304402857263.9278416588-13235.9278416588
1314531049065.2420234322-3755.24202343223
1323930240897.5880208738-1595.58802087382
1332851626820.51889071491695.48110928506
1341986519068.5317518461796.46824815388
1353009122161.53130394487929.46869605516
1363810148084.1034522131-9983.10345221306
1374440249039.2296526385-4637.2296526385
1385235947853.06976790494505.93023209513
1397118245389.692052343625792.3079476564
1406079643928.000383883816867.9996161162
1414373538298.15353691375436.84646308635
1426394748564.594545761815382.4054542382
1438907199023.5217401152-9952.52174011522
14486321111686.422814595-25365.4228145946
1459096798794.9858419154-7827.98584191545
1465444184269.6228589502-29828.6228589502
1473633941952.6597920556-5613.65979205563
1482929025314.02388515823975.97611484183
1496584232717.937752123633124.0622478764
1509940492197.31633321487206.68366678516
15183865117496.978497011-33631.9784970112
1528445299803.6491021163-15351.6491021163
1537630977819.6395491423-1510.63954914235
1546955453099.17575876216454.824241238
1554461644700.2384306148-84.2384306147505
1566733753273.740420663514063.2595793365
1579414498906.8913929561-4762.89139295608
15884425111269.733854312-26844.7338543119
1597676399909.214827127-23146.214827127
1607355973626.4961554315-67.4961554315378
1616095651933.75497310889022.24502689123
1624627139402.996938086868.00306192
1637406653968.90067794520097.099322055
16491634104900.680265539-13266.6802655394
16563947108936.298191796-44989.298191796
1665601782681.8062042761-26664.8062042761
1675329357102.1527994801-3809.1527994801
1685489538729.52308899616165.476911004
1694878134098.195334334614682.8046656654
1706044955113.01416851165335.98583148841
1719996587206.355624709512758.6443752905
17284746107158.310014268-22412.3100142679
17381088100397.325089018-19309.3250890182
1747777780219.6267409697-2442.62674096969
1756031557528.84383060192786.15616939808
1764621840070.41438634386147.5856136562
1776298553751.6709260459233.32907395502
1789259689739.41425211472856.58574788531
1797852599056.1991823131-20531.1991823131
1807281193117.1953727476-20306.1953727476
1816231873766.7417335021-11448.7417335021
1824814048148.3417241529-8.34172415291687
1834544332576.190949413812866.8090505862
1846691050793.900844991916116.0991550081
1859003292134.4686543172-2102.46865431721
1869166195730.2375034895-4069.23750348945
187103516102906.821015778609.178984222468
18810028598334.52525932861950.47474067139
1897238474570.5516364012-2186.55163640119
1905198550447.9994018541537.00059814602
1917222461974.155174286610249.8448257134
19299351100127.80227553-776.802275529539
193108616105065.4628752673550.53712473283
194102128119988.808994017-17860.8089940172
19597669101624.326806367-3955.32680636684
1967171673486.1437983137-1770.14379831369
1975158450126.84585523641457.15414476357
1986341362035.2064022191377.793597781
1998813789725.0654231628-1588.06542316279
2008653593722.0126446533-7187.01264465327
2019195597042.2596053524-5087.25960535239
2028485389634.3125934109-4781.31259341091
2035438864170.6259670479-9782.62596704789
2044093139668.62078759791262.37921240208
2055890049165.18081149649734.81918850361
2067657680020.858954491-3444.85895449101
2078044781613.4466568886-1166.44665688857
2086031588830.8389054129-28515.8389054129
2095201264994.6353534922-12982.6353534922
2103748740906.6094890952-3419.60948909519
2111997227139.1072651769-7167.10726517693
2122533826671.1249029137-1333.12490291373
2132354935864.2214142487-12315.2214142487
2141978528191.9148521173-8406.91485211733
2152963723419.56062223536217.43937776471
2163441627310.25513869787105.74486130215
2172691424340.68597452292573.3140254771
2182507118247.20915797416823.79084202592
2192400329096.79115165-5093.79115164998
2201935834304.5068836757-14946.5068836757
2212878324621.35842771354161.64157228647
2224699230907.598049994916084.4019500051
2234979641744.43546423968051.56453576042
2244090435348.79039942115555.20960057891
2253372227824.4667135635897.53328643698
2264264038794.79429629523845.20570370481
2275609754640.32079522371456.67920477632
2286218462718.0627047776-534.062704777614
2296303970635.6791245831-7596.67912458305
2306173062385.7956134103-655.795613410257
2314434945755.1078192092-1406.10781920917
2323230731608.0114975789698.988502421067
2334512338448.23478617716674.76521382287
2346346656676.33790840296789.66209159711
2357190369300.26227706942602.7377229306
2367321180112.6591896622-6901.65918966218
2376784572536.5351865399-4691.5351865399
2385123750966.0054322864270.994567713627
2393150636313.2259951135-4807.22599511353
2404504339552.23393914695490.76606085311
2417438656791.391766909517594.6082330905
2427660278038.2188009727-1436.21880097267
2437270485766.8810960859-13062.8810960859
2447177073704.5173934023-1934.51739340233
2455222553623.572963913-1398.57296391296
2464095836910.99093833034047.00906166975
2475585649183.14350335926672.85649664075
2487970071105.85923081578594.14076918428
2498188984902.8015363258-3013.8015363258
2508204991096.0186478995-9047.01864789953
2516664382626.2785915088-15983.2785915088
2525465552495.25463327622159.7453667238
2533673938325.8096953795-1586.80969537954
2545302645837.15153810547188.84846189463
2557809867155.256098472810942.7439015272
2568124881620.0636015277-372.063601527683
2578437289185.0928776418-4813.09287764184
2587561483116.7710420388-7502.77104203877
2596301258655.64497339564356.35502660445
2603879543588.3426404924-4793.34264049236
2615567050042.80482513235627.19517486766
2628116871175.89598526639992.10401473375
2638578784304.79802300931482.20197699072
2648859193293.1122173878-4702.11221738784
2657540186931.309990759-11530.309990759
2666341359993.66920844533419.33079155471
2674290743441.4707519258-534.470751925837
2686229154690.19214022257600.8078597775
2698624179335.14258466886905.85741533116
2708520089888.3416106995-4688.34161069951
2718455993909.8877197454-9350.88771974541
2727580183607.1271146879-7806.12711468794
2737230460441.243032919611862.7569670804
2745094447882.23056525023061.76943474983
2757003464365.16537818985668.83462181018
27610469189885.722680423614805.2773195764
27788404106324.408058417-17920.4080584171
27893397100696.548327049-7299.54832704889
2798803091647.8040913796-3617.80409137958
2806058270466.6624479277-9884.66244792768
2815089043294.86556556557595.13443443446
2826984762899.5165603786947.48343962205
2839016689618.6379404004547.362059599618
2848415892582.0216546705-8424.02165467049
2858250394249.6677779466-11746.6677779466
2868381182478.1129464471332.887053553
2876629665564.8974965103731.102503489659
2884264046373.3468040405-3733.34680404048
2895556355820.466813556-257.466813556042
2908245072741.47244411339708.52755588669
2918479981614.63794051263184.36205948744
2928237091432.0992644154-9062.09926441545
2938338482594.2512072509789.748792749073
2946007565315.9063186527-5240.90631865269
2954109142784.9265966859-1693.92659668586
2965558953477.90032997062111.09967002937
2977951372632.54171190116880.45828809893
2988765678885.06955647438770.93044352569
2997476092016.1119151162-17256.1119151162
3006421477874.4760533778-13660.4760533778
3014701952810.9206078607-5791.9206078607
3023422933895.5852823745333.414717625514
3034515044219.3896846691930.610315330894
3046418759468.42784818194718.57215181812
3057387963959.33339434579919.66660565434
3067617575094.37864419521080.62135580476
3078378574725.42783326649059.57216673363
3085278663909.7144856473-11123.7144856473
3094368139247.35488576594433.64511423406
3106186455144.10363235426719.8963676458
3117457379947.6275212065-5374.62752120645
3127991377495.47655865222417.52344134785
3137876582734.0824489049-3969.08244890491
3147911279099.195467595212.8045324047998
3156271860688.14977934312029.85022065693
3164055744845.6892939304-4288.68929393045
3175705854025.27283479233032.72716520767
3188880473842.247918993614961.7520810064
3198920587325.84504370861879.15495629136
3208290492042.9961669865-9138.99616698654
3217844584823.691417768-6378.69141776802
3226282561578.4834373191246.51656268098
3235783244629.768585115513202.2314148845
3247067571412.312697235-737.312697235029
32510279593795.69166279858999.3083372015
326107094102146.1931356344947.80686436624
327105625108776.371810115-3151.3718101155
32898390106117.67389229-7727.67389228969
3297436077740.2150040981-3380.21500409811
3306464154573.586207893410067.4137921066
3318242379946.51085564182476.48914435823
332116759109034.2178892377724.78211076252
333101941116319.239546619-14378.2395466194
334101140107984.489824021-6844.48982402108
33598790102240.53136741-3450.53136741027
3366594977378.5534480103-11429.5534480103
3374963550716.1264182653-1081.12641826532
3387732363695.85073404713627.149265953
33910920398679.335079154510523.6649208455
340102902106362.264387981-3460.2643879807
34193637106637.921970404-13000.9219704036
3428936596576.5063346725-7211.50633467254
3437225070140.39129658112109.60870341894
3445326753351.2160572844-84.216057284415
3457323869014.57824262264223.42175737738
3469972595858.04672755853866.95327244149
3476910097671.9778793786-28571.9778793786
3486632377956.5389387185-11633.5389387185
3498044769295.73368104211151.266318958
3508095460124.559183216820829.4408167832
3514819456127.6953833167-7933.69538331675
3525254665334.0831481929-12788.0831481929
3539182174062.427671905717758.5723280943
3548437283769.1527479491602.84725205088
3559099487203.91781835543790.08218164464
3567241092049.0883576474-19639.0883576474
3576274560582.96558082152162.03441917851
3584736644755.19601054822610.80398945177
3596394760422.20027272443524.79972727557
3608269086278.1671482952-3588.16714829522
3618971279146.391895266410565.6081047336
3627908590312.1086147877-11227.1086147877
3638052782036.2186699729-1509.21866997289
3646130364628.7999241531-3325.79992415306
3654069144798.8962395643-4107.89623956427
3665834054015.11117133394324.88882866607
3677916677767.91678529711398.08321470286
3688285075481.97540344527368.02459655484
3698207682492.5136239774-416.513623977444
3707329282959.147462466-9667.14746246603
3716082360369.8206821524453.179317847564
3725115743611.97187919297545.02812080714
3736141064491.4146206065-3081.41462060645
3746429484174.8295609808-19880.8295609808
3756765866816.2077628386841.79223716144
3766632368245.3476924082-1922.34769240819
3776656366850.4514686885-287.451468688523
3785214553609.1074581943-1464.10745819427
3793698038125.0447483763-1145.04474837626
3805070348131.21168316632571.78831683372
3816811266561.40442535671550.59557464329
3826837966625.97128778891753.02871221112
3836573568534.7916648919-2799.79166489192
3846071666604.5108972511-5888.51089725106
3855046349976.108736533486.891263467049
3863374936532.7106207775-2783.71062077754
3873943644764.4198554504-5328.41985545041
3886699054158.564324056512831.4356759435
3897054162685.16924832817855.83075167186
3907502768798.93289790366228.06710209638
3916923373318.4846711793-4085.48467117928
3925321356872.3725316921-3659.37253169208
3933118639046.3396574051-7860.33965740509
3944114542972.1671053847-1827.16710538474
3956760456564.935457277111039.0645427229
3966869963350.28081351195348.71918648808
3977169067451.53218208194238.46781791811
3986002269775.9193072596-9753.91930725955
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11747169077453.8186368735-5763.81863687355
11756942065770.6274512053649.37254879503
11765793952610.6533935965328.34660640402
11774629839992.06775901876305.93224098125
11786042260379.648075317742.3519246823416
11798103593054.1672679544-12019.1672679544
11808263782489.3425091019147.657490898098
11817972682303.6480548017-2577.64805480173
11828634872950.153637656413397.8463623436
11836629663881.87083853912414.12916146088
11843369546585.519646863-12890.519646863
11855219949504.92954438592694.07045561411
11867251778518.4656879622-6001.46568796216
11877227773382.7596381343-1105.75963813432
11887307872123.3789092608954.621090739151
11897676367014.96744890529748.03255109479
11906565556709.65585455218945.34414544789
11913465743701.050069861-9044.05006986099
11925641750932.27507958515484.72492041493
11936869983057.1310998435-14358.1310998435
11947716372065.72134919145097.27865080864
11957970075551.91910088414148.08089911593
11967815172968.7826273245182.21737267604
11975978158706.24462551961074.75537448035
11984482939916.05991406444912.94008593565
11994699261521.9690435598-14529.9690435598
12007703074952.99121847992077.00878152013
12019259677635.780798277714960.2192017223
12028493388313.3472078126-3380.34720781262
12038391879702.93639847264215.06360152736
12046330663080.3239623325225.67603766745
12054728642715.65845194694570.34154805312
12067740363263.194411711614139.8055882884
1207102768111534.915040224-8766.91504022383
1208118361107668.86477570510692.135224295
1209107708113346.165905646-5638.16590564649
121094705102061.680293429-7356.68029342864
12117612273309.19930807392812.80069192611
12124541751273.7663110318-5856.76631103177
12137980664795.947466901315010.0525330987
1214106346112590.975383503-6244.975383503
121595826112081.915484438-16255.9154844378
12169379797023.6111907444-3226.61119074438
12179935188317.522076840411033.4779231596
12188383873853.50874601359984.49125398646
12195417454627.5037122166-453.503712216618
12208455976728.75801579687830.24198420324
1221116492120154.674019597-3662.6740195975
1222114543121008.527792992-6465.52779299246
1223123407113801.6655569199605.33444308063
1224114677114090.913841775586.086158225487
122511037887687.750023486322690.2499765137
12269604069619.362738005726420.6372619943
1227141857127092.95930644214764.0406935581
1228233465199167.46292504534297.5370749553
1229146022231111.927656569-85089.9276565694
1230142124166003.15053905-23879.1505390496
1231118067139116.226769196-21049.2267691962
12328301095974.9485952017-12964.9485952017
12337569557809.340208166617885.6597918334
123410415799894.12933896734262.87066103269
1235150161149152.4326287481008.56737125179
1236174832146971.0289977327860.97100227
1237139935170101.455032775-30166.455032775
1238108749138481.745882335-29732.7458823351
123910997790597.535079837319379.4649201627
12407887272360.55029442966511.44970557043
1241126451106850.73642007819600.2635799223
1242161295175286.093731201-13991.0937312009


Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
1243163514.718567873144668.093968848182361.343166897
1244161511.32539107136146.065437012186876.585345128
1245150889.952935437121485.720656735180294.185214138
1246121249.33597656791670.0280036704150828.643949464
124782963.767714988555818.2491968181110109.286233159
1248115460.13682803574634.6701911748156285.603464895
1249163764.994421508106890.166788072220639.822054944