Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.898099506162792
beta0
gamma1


Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
133791445756.167574087-7842.16757408703
142248121654.2437589321826.75624106788
151706116175.2471421746885.752857825379
162192122119.9519186171-198.951918617091
173404336733.3169932309-2690.31699323092
183615237996.3253707156-1844.3253707156
193892921443.208517686617485.7914823134
203671322017.280522314914695.7194776851
212792848126.2751715049-20198.2751715049
221417862784.3710943268-48606.3710943268
231933124705.1088602682-5374.10886026821
243503012406.386864148922623.6131358511
253783428820.30467253539013.69532746472
264525721149.893331807624107.1066681924
273965031298.74474475948351.2552552406
283300150891.5177487932-17890.5177487932
292226858387.3612843847-36119.3612843847
303428328582.89484747035700.10515252973
316373320907.232910550442825.7670894496
325454835199.197576450519348.8024235495
333166664387.1093258296-32721.1093258296
343265458507.4548419476-25853.4548419476
352840961851.8200285299-33442.8200285299
361623422517.9021114214-6283.90211142136
371954413768.67154476085775.32845523925
383337510936.692640389122438.3073596109
393083921851.46964758278987.53035241731
402758136280.6009102462-8699.60091024619
412859643122.5504627957-14526.5504627957
422854239614.7275325517-11072.7275325517
431428519335.317888714-5050.31788871395
44207998186.3858642645712612.6141357354
452872920574.9234269188154.07657308204
463027847612.7041861436-17334.7041861436
473126654173.0005541084-22907.0005541084
483834125801.582348538912539.4176514611
492493833584.3119982067-8646.31199820671
501570015695.89694229014.10305770994091
511738210383.88328014566998.11671985439
523422918789.468367343915439.5316326561
532958448671.0406714267-19087.0406714267
543390942113.6202466229-8204.62024662286
552939722857.66256926976539.33743073027
562464417961.7603768876682.23962311299
571412424475.408824158-10351.408824158
581877023451.4782344555-4681.47823445552
593268131626.29987523291054.70012476708
603051827849.82333976842668.17666023161
613431025403.08035529928906.91964470084
622421721219.58794608852997.41205391149
631580616707.43026071-901.430260710018
641236217972.1958763115-5610.19587631149
651375116852.9149132559-3101.91491325594
662531219060.08125153726251.91874846282
672354916841.08891535926707.91108464082
683030514274.729197569216030.2708024308
693041126560.99640198253850.00359801751
701559349346.9692652792-33753.9692652792
711738232190.5812505564-14808.5812505564
721580615810.2795822751-4.27958227508498
732918313077.26284245516105.737157545
743334817136.09734529516211.902654705
753358921867.622965964711721.3770340353
763019835686.6819742441-5488.68197424406
772346941931.6926887232-18462.6926887232
781559336841.7560332914-21248.7560332914
791647411967.85180815164506.14819184838
802734110118.936194151917222.0638058481
812667322655.91434292694017.08565707306
823326834842.0547534334-1574.05475343345
832640664709.1841146472-38303.1841146472
842365628330.5447556527-4674.5447556527
851508621662.4509222015-6576.45092220154
86183169451.495712679618864.50428732039
872752811635.874682760315892.1253172397
883030526923.26496904543381.73503095462
893455038509.7109245942-3959.71092459418
903471048585.7256491986-13875.7256491986
912384329431.2015207949-5588.20152079491
921236216251.847297773-3889.847297773
932120010520.478789055410679.5212109446
942726126013.48869328971247.51130671028
953158645811.1041634978-14225.1041634978
963332234996.0983940763-1674.09839407627
973281429748.45885871073065.54114128932
982197422164.7946306624-190.794630662382
991711514936.19707890992178.80292109011
1001444516536.22641711-2091.22641711
1012667318112.17676397478560.82323602532
1023174634660.0656049378-2914.06560493779
1032824926484.10143681331764.89856318672
1042910318619.445255515310483.5547444847
1052197425691.778000706-3717.77800070603
1061762227585.8531773829-9963.85317738285
1072106629666.0405661335-8600.0405661335
1082838223882.05585983344499.9441401666
1093214725017.86888737777129.13111262229
1103588521177.378885046314707.6211149537
1114082423939.018923913616884.9810760864
1122862237807.5325237368-9185.53252373678
1132429738942.2731670407-14645.2731670407
1143046533175.1129642329-2710.11296423294
1154792725788.615518909722138.3844810903
1165166531543.686434878620121.3135651214
1175705843353.235553694913704.7644463051
1184840766850.0305487849-18443.0305487849
1193001182844.1674030459-52833.1674030459
1202141341476.7233630149-20063.7233630149
1213051820990.13159520379527.86840479627
1224117120258.525549366520912.4744506335
1233748727231.730789871910255.2692101281
1244445632633.987306927311822.0126930727
1254146555729.9121639028-14264.9121639028
1262840958674.2677151711-30265.2677151711
1273487027999.73633614326870.2636638568
1282955723276.24273406716280.75726593295
1294493624683.886011783820252.1139882162
1304402848230.8188237406-4202.81882374059
1314531064451.640127014-19141.640127014
1323930260157.0948265392-20855.0948265392
1332851642861.5173912611-14345.5173912611
1341986520973.5968485731-1108.59684857308
1353009113339.731995153516751.2680048465
1363810125289.401483257412811.5985167426
1374440244470.4371648337-68.4371648337255
1385235956736.4011039746-4377.40110397455
1397118253735.791963228317446.2080367717
1406079647856.121601449112939.8783985509
1414373552519.5989530286-8784.59895302863
1426394747437.77756288816509.222437112
1438907187671.24359242871399.75640757129
14486321112859.180504888-26538.1805048876
1459096793535.9250538374-2568.92505383743
1465444168273.3425732265-13832.3425732265
1473633940704.8796312492-4365.87963124919
1482929032113.8753592155-2823.87535921547
1496584234394.871237357731447.1287626423
1509940479648.877863990219755.1221360098
15183865103154.256070125-19289.2560701252
1528445259090.443481387725361.5565186123
1537630969457.62886697466851.37113302539
1546955484591.3365402264-15037.3365402264
1554461697692.5326370135-53076.5326370135
1566733761084.91021603256252.08978396748
1579414471855.688914957222288.3110850428
1588442567219.836839230117205.1631607699
1597676361332.259782689915430.7402173101
1607355966290.72827397327268.27172602683
1616095690736.5377590539-29780.5377590539
1624627178989.2609842736-32718.2609842736
1637406649932.149130716224133.8508692838
1649163451967.904157172139666.0958428279
1656394772721.9300744306-8774.93007443062
1665601770256.1678805097-14239.1678805097
1675329371883.2454888227-18590.2454888227
1685489576484.3537671592-21589.3537671592
1694878162287.304006274-13506.304006274
1706044936243.747232825424205.2527671746
1719996542838.683818213157126.3161817869
1728474682231.89925612132514.10074387866
1738108899358.639485497-18270.639485497
17477777100505.614745455-22728.6147454552
1756031589950.2631145463-29635.2631145463
1764621846408.0328984666-190.032898466605
1776298535970.240229676527014.7597703235
1789259664476.419909705328119.5800902947
17978525111550.822402189-33025.822402189
18072811113442.528360361-40631.5283603611
1816231885291.0590433607-22973.0590433607
1824814050323.1720258846-2183.17202588459
1834544336280.81380521919162.18619478094
1846691036467.659683544630442.3403164554
1859003272999.183364202817032.8166357972
18691661106332.929137779-14671.9291377788
187103516102741.543888662774.456111337568
18810028579953.93130604520331.068693955
1897238480448.5836892305-8064.58368923054
1905198577411.8557303649-25426.8557303649
1917222462812.17459812899411.82540187112
1929935197342.19048619922008.80951380084
193108616112259.167664385-3643.16766438486
19410212888151.331909288113976.6680907119
1959766978110.211950511119558.7880494889
1967171681049.0739011364-9333.07390113642
1975158480885.423708784-29301.423708784
1986341363164.9456621732248.054337826805
1998813770882.801491082317254.1985089177
2008653568030.259732299918504.7402677001
2019195567072.353092143624882.6469078564
2028485391200.4394248224-6347.43942482235
20354388105069.65090383-50681.6509038304
2044093180291.6103833277-39360.6103833277
2055890050119.53380321928780.46619678076
2067657647397.232962975829178.7670370242
2078044757303.356749019423143.6432509806
2086031563856.3966927479-3541.39669274795
2095201264610.0878432495-12598.0878432495
2103748765308.1552100177-27821.1552100177
2111997245721.9808620128-25749.9808620128
2122533817395.44865503547942.55134496455
2132354919215.25648812044333.74351187957
2141978522397.3406389859-2612.34063898593
2152963722272.79398697257364.20601302753
2163441638503.1451876007-4087.14518760068
2172691443174.9451218895-16260.9451218895
2182507123523.54678018221547.45321981783
2192400318801.60059914145201.39940085861
2201935818183.70067355391174.29932644607
2212878319769.80911448569013.19088551445
2224699232252.892779111614739.1072208884
2234979649178.667753696617.332246303951
2244090445645.1698262719-4741.16982627186
2253372232288.50716892851433.49283107153
2264264031704.702149121810935.2978508782
2275609748555.82462756387541.17537243625
2286218471634.0094439371-9450.00944393706
2296303975335.8621985559-12296.8621985559
2306173057624.81748334724105.18251665276
2314434947904.3656474499-3555.36564744992
2323230734495.9875983868-2188.98759838676
2334512334670.201122849810452.7988771502
2346346651323.792326329712142.2076736703
2357190365417.31342815696485.68657184311
2367321164798.0105376458412.98946235498
2376784557731.263936448810113.7360635512
2385123764964.0325085634-13727.0325085634
2393150660899.4286959196-29393.4286959196
2404504343116.99907092721926.00092907284
2417438653039.643158150221346.3568418498
2427660266572.764863785910029.2351362141
2437270458313.610862087614390.3891379124
2447177055319.645193078616450.3548069214
2455222577661.05996228-25436.05996228
2464095863723.6071111528-22765.6071111528
2475585644813.77219983711042.227800163
2487970049763.002560018829936.9974399812
2498188961397.835770161720491.1642298383
2508204974462.19395257027586.80604742975
2516664388510.1455732323-21867.1455732323
2525465595494.4652498862-40839.4652498862
2533673971608.2323972962-34869.2323972962
2545302636185.217247013416840.7827529866
2557809839658.967435328238439.0325646718
2568124857803.274053244923444.7259467551
2578437281347.11447351713024.88552648295
2587561497434.1799064785-21820.1799064785
2596301287518.2803764914-24506.2803764914
2603879560794.3984875836-21999.3984875836
2615567032197.91219697323472.087803027
2628116848745.762705742232422.2372942578
2638578781253.43375764514533.56624235486
26488591113795.783253081-25204.783253081
26575401109428.014128653-34027.0141286532
2666341381214.6769949874-17801.6769949874
2674290751510.5997980493-8603.59979804929
2686229133166.897315464829124.1026845352
2698624159476.265064275126764.7349357249
2708520093682.1538494004-8482.15384940036
2718455995905.5183226042-11346.5183226042
2727580178394.5874643653-2593.58746436531
2737230466466.13029271375837.86970728634
2745094465592.7794644375-14648.7794644375
2757003452603.688938420617430.3110615794
27610469187863.421292684716827.5787073153
27788404121726.645531844-33322.6455318444
2789339796300.6008669023-2903.60086690233
2798803074888.924121735513141.0758782645
2806058270902.5304424567-10320.5304424567
2815089060764.9412912624-9874.94129126235
2826984755581.769950090414265.2300499096
2839016675823.415412033714342.5845879663
2848415881981.09374781682176.90625218321
2858250374266.5255914428236.47440855796
2868381172035.279720791711775.7202792083
2876629687832.7615589295-21536.7615589295
2884264087343.7974506479-44703.7974506479
2895556352448.06232273163114.9376772684
2908245059693.250111656222756.7498883438
2918479965151.950951396719647.0490486033
2928237065518.909229217616851.0907707824
2938338479498.32888917563885.67111082442
2946007592931.2461862224-32856.2461862224
2954109169924.8713566437-28833.8713566437
2965558939835.066490774615753.9335092254
2977951347937.620786371331575.3792136287
2988765667547.255992776120108.7440072239
2997476086850.5324052144-12090.5324052144
3006421490539.4863167009-26325.4863167009
3014701983170.769058173-36151.769058173
3023422955976.9493865812-21747.9493865812
3034515029123.635523138916026.3644768611
3046418734080.754690428930106.2453095711
3057387959136.408283829414742.5917161706
3067617576332.9734409787-157.973440978734
3078378582926.8091563876858.190843612436
3085278684184.7528674904-31398.7528674904
3094368150319.5979943169-6638.59799431687
3106186438369.492518455723494.5074815443
3117457357815.088400723816757.9115992762
3127991384692.1781929386-4779.17819293862
3137876596739.0653135483-17974.0653135483
3147911290663.6247077466-11551.6247077466
3156271871807.3344319331-9089.33443193311
3164055750680.0782585156-10123.0782585156
3175705838925.615464979518132.3845350205
3188880456893.363191652531910.6368083475
3198920593306.7715998762-4101.77159987621
3208290484944.305912909-2040.30591290901
3217844578333.8678446949111.132155305095
3226282572071.7742538415-9246.77425384149
3235783261005.3721318109-3173.37213181088
3247067565524.85233770555150.14766229452
32510279582910.278274645319884.7217253547
326107094114501.474919961-7407.47491996149
32710562596713.57276046858911.42723953151
3289839082882.32213042115507.677869579
3297436096781.7310510647-22421.7310510647
3306464179524.0397947987-14883.0397947987
3318242369034.906332735613388.0936672644
33211675976941.662219600239817.3377803998
333101941106700.452910416-4759.45291041629
33410114092866.04772060238273.95227939771
3359879097139.30645208671650.69354791334
33665949112969.754052269-47020.754052269
3374963584656.3755149897-35021.3755149897
3387732358486.593770276118836.4062297239
33910920368482.06518511940720.934814881
34010290283776.48509565819125.514904342
3419363796356.4946899682-2719.49468996824
3428936598280.1864911059-8915.18649110585
3437225098274.2287184641-26024.2287184641
3445326772383.7189123081-19116.7189123081
3457323849933.01405012923304.985949871
3469972564944.529193609834780.4708063902
3476910092510.0867738356-23410.0867738356
3486632376065.5652045127-9742.56520451271
3498044780627.7547559693-180.754755969348
3508095497705.6572093994-16751.6572093994
3514819476150.7201525366-27956.7201525366
3525254639614.754812020712931.2451879793
3539182147563.214773120944257.7852268791
3548437290681.148151525-6309.14815152501
3559099490151.802636793842.197363206957
3567241088011.3034199034-15601.3034199034
3576274571911.3914933029-9166.39149330292
3584736658480.9103380301-11114.9103380301
3596394743247.581816894420699.4181831056
3608269067013.476197876315676.5238021237
3618971298699.9864564624-8987.98645646237
36279085107892.830908057-28807.8309080566
3638052772856.73209274117670.26790725894
3646130367613.0263173043-6310.02631730429
3654069159067.3811898309-18376.3811898309
3665834041423.786802035316916.2131979647
3677916660358.003003695118807.9969963049
3688285073027.34578858349822.65421141656
3698207680165.27738904931910.72261095069
3707329274689.4399930507-1397.43999305071
3716082369603.3474484074-8780.3474484074
3725115765933.1709675747-14776.1709675747
3736141061998.2164823101-588.216482310083
3746429471053.1514413394-6759.15144133942
3756765860330.45558330177327.5444166983
3766632355501.251850372210821.7481496278
3776656360110.98778385866452.01221614136
3785214569484.5018630594-17339.5018630594
3793698057114.7323419611-20134.7323419611
3805070336157.537218827314545.4627811727
3816811247513.941468850320598.0585311497
3826837959856.35021048938522.64978951066
3836573563145.70716216742589.2928378326
3846071668981.4313007474-8265.43130074743
3855046374657.0950921172-24194.0950921172
3863374960491.5074782549-26742.5074782549
3873943634309.61251124965126.38748875039
3886699032214.893464182434775.1065358176
3897054158054.230397748312486.7696022517
3907502769961.16689166365065.83310833637
3916923377567.389161873-8334.38916187298
3925321371110.7530619196-17897.7530619196
3933118653263.9499347259-22077.9499347259
3944114529499.562650825111645.4373491749
3956760436849.410497775330754.5895022247
3966869966718.77000628091980.22999371907
3977169080377.5914790073-8687.5914790073
3986002280789.1678926592-20767.1678926592
3995171864605.2294986571-12887.2294986571
4003281445951.4130946827-13137.4130946827
4014240029873.327186254812526.6728137452
4027131640839.069433452130476.9305665479
4037014169614.055192443526.944807556982
4046469469609.6870767417-4915.68707674173
4056063660986.6270437638-350.627043763801
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11843369573964.3809151992-40269.3809151992
11855219934001.600034648218197.3999653518
11867251749896.361862865622620.6381371344
11877227776749.5004253327-4472.50042533271
11887307874320.0275583571-1242.02755835712
11897676371265.49635727575497.50364272432
11906565574912.7179890107-9257.71798901069
11913465766407.8382736534-31750.8382736534
11925641734773.441925322121643.5580746779
11936869953848.55196842214850.448031578
11947716366713.488193613310449.5118063867
11957970072173.94927225777526.05072774229
11967815178583.7811034078-432.781103407848
11975978182406.7966881712-22625.7966881712
11984482961380.9778314798-16551.9778314798
11994699248752.1761528654-1760.17615286542
12007703048250.801082308928779.1989176911
12019259672797.563811245219798.4361887548
12028493387227.501970297-2294.50197029705
12038391878917.8975590895000.10244091098
12046330687743.2825613934-24437.2825613934
12054728664290.8018170997-17004.8018170997
12067740348139.064959457129263.9350405429
120710276870270.333838419432497.6661615806
120811836198113.384575184320247.6154248157
1209107708118288.322059096-10580.3220590959
121094705108001.298628345-13296.2986283455
121176122104608.779365639-28486.7793656395
12124541784700.0922867664-39283.0922867664
12137980647567.393648298132238.6063517019
121410634671805.305231105634540.6947688944
12159582696220.1891172781-394.189117278118
12169379796505.766013343-2708.766013343
12179935192372.38774558166978.61225441836
121883838104952.129150852-21114.1291508518
12195417480713.9881045154-26539.9881045154
12208455955072.909123445329486.0908765547
122111649280563.214930014535928.7850699855
1222114543111562.5408395592980.4591604407
1223123407121644.4810290351762.5189709652
1224114677126297.140882089-11620.1408820895
1225110378127357.213874524-16979.2138745236
122696040104517.588878179-8477.58887817948
122714185787601.355167831654255.6448321684
1228233465137079.87381909696385.126180904
1229146022222445.816171748-76423.8161717479
1230142124158666.017672719-16542.0176727187
1231118067132169.277238238-14102.277238238
123283010126502.519413586-43492.5194135862
12337569586028.241363399-10333.241363399
123410415773550.168024357430606.8319756426
1235150161107405.04967793942755.9503220607
1236174832147777.83825672127054.1617432791
1237139935188407.190155483-48472.1901554826
1238108749136109.216642781-27360.2166427806
1239109977105936.3241160774040.675883923
124078872110419.97141992-31547.97141992
124112645173980.484277055252470.5157229448
1242161295129971.14420431231323.8557956882


Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
1243145307.925319389102052.032570942188563.818067837
1244147896.76526769789215.4494865481206578.081048847
1245151512.60494020679931.4955385912223093.71434182
1246152204.31848239670323.8046172347234084.832347557
1247161856.96253635766540.6362279742257173.28884474
1248161876.78960852658691.0295231287265062.549693924
1249168462.10634911154114.5413585782282809.671339643
1250159855.84338735844159.0349657597275552.651808956
1251156522.19031489636394.3177033948276650.062926397
1252151186.22352410728408.7931251289273963.653923086
1253148472.25411727121413.9572139072275530.551020634
1254155766.58180033523578.7683789322287954.395221738