Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.747438902191031
beta0
gamma0.304106950569212


Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
81804915199.30458736212849.69541263792
92437723548.7822910227828.21770897734
104803348019.54343715413.4565628460186
116141063009.7128158693-1599.71281586933
124063767950.8866488059-27313.8866488059
133791429232.19857741448681.80142258559
142248133388.0343270543-10907.0343270543
151706111383.05355511485677.94644488521
162192121024.8712603180896.128739681957
173404342991.5008921374-8948.50089213743
183615247524.3729927215-11372.3729927215
193892941077.9998066308-2148.99980663083
203671325866.031912342810846.9680876572
212792830136.7267853712-2208.72678537123
221417813662.3086384283515.691361571684
231933118444.2485605412886.751439458785
243503037027.2522843021-1997.25228430207
253783446354.5224143309-8520.52241433095
264525742875.14101655732381.85898344269
273965030108.64206201539541.35793798469
283300132052.8184460428948.181553957198
292226815852.78205432406415.21794567596
303428327134.17111925247148.82888074758
316373362455.34784161391277.65215838614
325454881735.1331269196-27187.1331269196
333166667235.5713924955-35569.5713924955
343265427831.41362552694822.58637447306
352840926591.48229770961817.51770229035
361623413815.53113311642418.46886688363
371954420389.2514112876-845.251411287634
383337537413.5324119917-4038.53241199168
393083942751.2620067868-11912.2620067868
402758135772.2224334590-8191.22243345904
412859622015.62640825636580.37359174369
422854222628.28090390415913.71909609592
431428513461.3689335963823.631066403652
442079918094.84084606572704.15915393431
452872937873.7980354618-9144.79803546183
463027837876.3639429212-7598.36394292122
473126634230.6164222483-2964.61642224826
483834124744.520610462613596.4793895374
492493829273.8514507247-4335.8514507247
501570012798.96042579942901.03957420058
511738219351.5065254783-1969.50652547832
523422932562.78027588041666.21972411955
532958441448.4875420218-11864.4875420218
543390935027.4992493504-1118.49924935037
552939727413.84925462791983.15074537214
562464423225.26645074521418.73354925483
571412412274.24027698921849.75972301084
581877017250.03150370251519.96849629746
593268133899.7769577748-1218.77695777478
603051839163.9540352302-8645.95403523017
613431036079.2000740112-1769.20007401123
622421728084.9225080144-3867.92250801443
631580620231.8840770009-4425.88407700095
64123628601.613432764093760.38656723591
651375114355.5063744984-604.506374498353
662531225396.9878401194-84.9878401193782
672354929544.2196985469-5995.21969854694
683030528109.81083253032195.18916746966
693041123846.96257281656564.03742718349
701559322898.5372141922-7305.53721419221
71173829273.960528390228108.03947160978
721580618752.8414729070-2946.84147290695
732918330328.0746716335-1145.07467163348
743334833751.2414396095-403.241439609548
753358938442.6640156577-4853.66401565773
763019828238.51516755521959.48483244482
772346922499.6022905918969.397709408182
781559313282.95499703592310.04500296408
791647417397.6852592617-923.685259261729
802734130948.0873458454-3607.08734584538
812667332419.9417903130-5746.94179031297
823326832002.46108172671265.53891827325
832640627149.9579151696-743.957915169583
842365620105.63764373713550.36235626295
851508613128.68457269931957.3154273007
861831616644.35429473131671.64570526869
872752832962.1412677219-5434.14126772194
883030532967.460916147-2662.460916147
893455035919.1176594059-1369.11765940592
903471028609.48202853516100.51797146494
912384325435.3131147822-1592.31311478216
921236213963.0083738782-1601.00837387816
932120014515.98032055926684.01967944081
942726135172.6950769153-7911.69507691526
953158633642.7104526041-2056.71045260408
963332237362.4761666487-4040.47616664871
973281428639.64371023064174.3562897694
982197423893.2920426233-1919.29204262334
991711512874.00971700994240.99028299008
1001444518907.273307063-4462.27330706301
1012667326779.3421986767-106.342198676692
1023174631195.5297534625550.470246537509
1032824936630.0023914926-8381.00239149257
1042910325810.16114296383292.83885703619
1052197420916.55467070051057.44532929953
1061762212779.340123924842.65987607999
1072106618524.26373825902541.73626174097
1082838235908.3876502955-7526.38765029552
1093214735442.5337761104-3295.53377611037
1103588537361.1495246096-1476.14952460962
1114082431771.51805878899052.48194121112
1122862228369.8438405150252.156159484952
1132429717132.69256864827164.30743135183
1143046525079.18324408385385.81675591618
1154792749724.7231327675-1797.72313276755
1165166557294.8623709225-5629.86237092251
1175705860429.1094059727-3371.10940597267
1184840751833.0373937848-3426.03739378478
1193001135657.0594290539-5646.05942905392
1202141319308.89148208162104.10851791842
1213051823054.08502400787463.91497599222
1224117148094.9351415183-6923.93514151832
1233748750555.5930774179-13068.5930774179
1244445646596.0239845218-2140.02398452179
1254146540235.74718689561229.25281310438
1262840929527.1689135996-1118.16891359964
1273487018006.685601638816863.3143983612
1282955734211.9327759668-4654.93277596679
1294493649982.3874223517-5046.38742235167
1304402853760.0695865999-9732.06958659993
1314531054250.3267750006-8940.32677500056
1323930242790.2040186548-3488.20401865479
1332851628677.6716574933-161.671657493334
1341986518736.61259199291128.38740800710
1353009120747.12927854959343.87072145046
1363810145247.5613082379-7146.56130823795
1374440246063.0797161589-1661.07971615894
1385235952394.9000292909-35.9000292909113
1397118247481.664410238623700.3355897614
1406079646829.512510209113966.4874897909
1414373537766.56419894835968.43580105168
1426394745711.40481245618235.595187544
1438907193100.2776145957-4029.2776145957
14486321105161.407035098-18840.4070350984
14590967106788.544555097-15821.5445550972
1465444188526.3905021094-34085.3905021094
1473633944881.9798481776-8542.97984817755
1482929025187.8095537324102.190446268
1496584230967.250474385234874.7495256148
1509940487115.753750302712288.2462496973
15183865111009.146038893-27144.1460388933
15284452106702.241074093-22250.2410740928
1537630981522.5811267203-5213.5811267203
1546955456673.023117272712880.9768827273
1554461644630.8370034924-14.8370034924301
1566733750642.613073508716694.3869264913
1579414492991.24574861921152.7542513808
15884425104674.989290511-20249.9892905109
15976763105745.137328385-28982.1373283847
1607355977172.979851234-3613.97985123396
1616095655467.30140353635488.69859646368
1624627139508.19956528416762.80043471594
1637406651606.924474539522459.0755254605
1649163498847.722183458-7213.72218345806
16563947102325.116398525-38378.1163985251
1665601786159.0323097368-30142.0323097368
1675329359761.1851223166-6468.18512231662
1685489541349.951635180113545.0483648199
1694878134292.832008498714488.1679915013
1706044952954.83127780417494.16872219593
1719996582056.055961277417908.9440387226
17284746100915.388414792-16169.3884147922
17381088104330.732988160-23242.7329881603
1747777783996.0787648806-6219.07876488063
1756031561504.6380269296-1189.63802692964
1764621840560.60557434355657.39442565646
1776298551803.189822716611181.8101772834
1789259684687.486533947908.51346605993
1797852593112.1247673458-14587.1247673458
1807281195912.4283894203-23101.4283894203
1816231877090.4895167832-14772.4895167832
1824814051426.545604921-3286.545604921
1834544333134.159898253412308.8401017466
1846691049184.958609400117725.0413905999
1859003287230.69058809912801.30941190086
1869166189948.1613785931712.83862140693
187103516105473.461590915-1957.46159091471
188100285102521.521318632-2236.52131863171
1897238479491.3334925293-7107.33349252927
1905198551582.8721578507402.127842149304
1917222460250.636591021811973.3634089782
1929935194850.8927622594500.10723774097
19310861698806.31646765029809.6835323498
194102128122360.758524715-20232.758524715
19597669105676.231492165-8007.23149216542
1967171678132.8446678729-6416.84466787288
1975158451405.7009683349178.299031665061
1986341360609.82582757062803.17417242944
1998813785118.02795413423018.97204586575
2008653588212.825036116-1677.82503611594
2019195598097.212897743-6142.21289774297
2028485392920.5657100288-8067.5657100288
2035438868060.8029911892-13672.8029911892
2044093140827.2584117504103.741588249562
2055890048254.016237102410645.9837628976
2067657676242.1760664469333.823933553067
2078044776905.05099269663541.94900730340
2086031589420.509213793-29105.5092137929
2095201267096.3229349596-15084.3229349596
2103748743234.5029012015-5747.50290120148
2111997227995.4589820590-8023.45898205897
2122533826317.7684456719-979.768445671856
2132354934208.1688275159-10659.1688275159
2141978526453.9243485104-6668.92434851037
2152963723243.23718791926393.76281208082
2163441628129.45960624866286.54039375142
2172691425665.02423195191248.97576804812
2182507118797.92305985246273.07694014762
2192400328824.1616225140-4821.16162251396
2201935832764.5758092076-13406.5758092076
2212878323100.56444299315682.43555700691
2224699230867.939840349416124.0601596506
2234979642973.50738828666822.49261171335
2244090437177.99368552233726.00631447771
2253372228723.50604151734998.49395848268
2264264038466.37748989974173.6225101003
2275609752357.3593345713739.64066542897
2286218459633.92715314362550.07284685643
2296303970364.4286070612-7325.42860706117
2306173063844.9468556128-2114.94685561275
2314434947978.7290412576-3629.7290412576
2323230732686.8469011376-379.846901137567
2334512338242.78040823186880.21959176817
2346346654487.83042773118978.16957226895
2357190366039.45081082655863.54918917349
2367321179571.3022432254-6360.30224322536
2376784574066.4188291172-6221.4188291172
2385123753301.1312245067-2064.13122450673
2393150637574.4358170746-6068.43581707456
2404504339503.81734099425539.18265900579
2417438654763.230475591819622.7695244082
2427660274563.08952236562038.91047763445
2437270484869.4595890382-12165.4595890382
2447177074989.5296377366-3219.52963773659
2455222555947.9016376413-3722.90163764135
2464095838168.53264047132789.46735952872
2475585649297.86938754966558.13061245045
2487970068817.073782442210882.9262175578
2498188981052.517713592836.48228640802
2508204989798.482341076-7749.48234107599
2516664383887.0092735186-17244.0092735186
2525465554617.687272846137.3127271539197
2533673939653.682181534-2914.68218153399
2545302646075.66513305566950.3348669444
2557809865198.306286510512899.6937134895
2568124878042.31779080853205.68220919145
2578437287740.0129286201-3368.01292862007
2587561484110.472327125-8496.47232712501
2596301260961.21455589382050.78544410622
2603879545077.0619905725-6282.06199057253
2615567050468.59619546245201.4038045376
2628116869316.374927729411851.6250722706
2638578780701.36163010625085.6383698938
2648859191613.7428634232-3022.74286342325
2657540187715.3727212217-12314.3727212217
2666341362227.77447615971185.22552384026
2674290744867.0305458387-1960.03054583869
2686229155304.01053760636986.98946239366
2698624177515.21417287048725.7858271296
2708520086152.1587669993-952.158766999331
2718455991964.9196819377-7405.91968193771
2727580184039.7953604028-8238.79536040277
2737230462571.8498513999732.15014860105
2745094449410.53454806171533.46545193830
2757003465220.13265588584813.86734411423
27610469188058.579470755216632.4205292448
27788404102119.733338638-13715.7333386378
2789339798317.9963955885-4920.9963955885
2798803091881.8877746376-3851.88777463761
2806058272866.0508711126-12284.0508711126
2815089044677.59810171716212.40189828291
2826984763818.84190381156028.15809618853
2839016688064.93316283382101.06683716623
2848415888912.0947175552-4754.09471755523
2858250392041.2182977564-9538.21829775638
2868381182491.29870019121319.70129980882
2876629667553.9254468847-1257.92544688468
2884264047894.837214936-5254.83721493601
2895556356726.5376695545-1163.53766955451
2908245071636.280124649910813.7198753501
2918479978594.11503688266204.88496311735
2928237089355.484330931-6985.48433093098
2938338482547.171111803836.828888197022
2946007567127.8748446033-7052.8748446033
2954109144129.3657628204-3038.36576282042
2965558954418.42229074421170.57770925578
2977951371767.08524535427745.91475464575
2988765676106.727898660111549.2721013399
2997476089879.027895545-15119.0278955449
3006421477649.9585276257-13435.9585276257
3014701954043.2161358836-7024.21613588357
3023422934919.648292853-690.648292853031
3034515045048.2858971509101.714102849146
3046418758918.81661141235268.18338858767
3057387961849.438990773312029.5610092267
3067617573257.60553005532917.39446994467
3078378574509.57522310149275.4247768986
3085278665383.5155703831-12597.5155703831
3094368140441.16757470073239.83242529933
3106186456224.48404185265639.51595814744
3117457379415.8614204932-4842.86142049315
3127991375074.45176264134838.5482373587
3137876580568.1062277474-1803.10622774741
3147911278696.692419029415.307580971072
3156271861790.8851370193927.114862980707
3164055746211.9401757288-5654.94017572877
3175705855147.60839417071910.39160582930
3188880473446.150717764715357.8492822353
3198920584932.6918969214272.30810307908
3208290489648.9694908359-6744.96949083588
3217844584230.5252879754-5785.52528797538
3226282562540.1665806526284.833419347422
3235783245878.677112892811953.3228871072
3247067572942.2252214712-2267.22522147124
32510279593539.73047118149255.2695288186
32610709499461.69215652067632.30784347937
327105625105937.437212200-312.437212199831
32898390105296.606924204-6906.60692420423
3297436078841.2011674373-4481.20116743732
3306464156098.73748511598542.26251488412
3318242381581.581746809841.418253191034
332116759108965.3525824067793.64741759423
333101941113485.439629471-11544.4396294708
334101140105015.982970204-3875.98297020404
33598790101208.969380265-2418.96938026485
3366594978321.8215426053-12372.8215426053
3374963552105.2962798895-2470.29627988949
3387732364987.107715882112335.8922841179
33910920398791.368721233310411.6312787667
340102902103927.530822870-1025.53082286975
34193637103894.967052825-10257.9670528250
3428936595469.474644767-6104.47464476705
3437225070774.70554025321475.29445974680
3445326754769.4356326104-1502.43563261040
3457323870520.163895932717.83610406992
3469972596084.3199754493640.68002455101
3476910095560.5589897901-26460.5589897901
3486632375750.7478206038-9427.74782060376
3498044768366.412187237412080.5878127626
3508095460662.001195696120291.9988043039
3514819457565.9907330998-9371.99073309977
3525254666798.4377214708-14252.4377214708
3539182174349.607444849817471.3925551502
3548437282036.62889910532335.37110089473
3559099485149.60686145645844.39313854364
3567241091111.241431856-18701.2414318560
3576274560967.56377097521777.43622902479
3584736645678.38069073981687.61930926020
3596394761682.62616801522264.37383198483
3608269086908.4766389624-4218.47663896238
3618971277584.452716367812127.5472836322
3627908588316.3019904814-9231.30199048143
3638052780915.2017613523-388.201761352262
3646130365079.9650395366-3776.96503953663
3654069145675.5911410117-4984.59114101173
3665834055123.25511656673216.74488343328
3677916678367.7035931836798.296406816415
3688285074218.98084888688631.01915111324
3698207680638.19404570751437.80595429250
3707329281893.1066402045-8601.1066402045
3716082360652.0291659983170.970834001731
3725115744391.61349212746765.38650787262
3736141065858.8053859292-4448.80538592915
3746429484890.191601738-20596.1916017380
3756765865803.14624902041854.85375097964
3766632366702.7649498107-379.764949810735
3776656365890.6727718446672.327228155365
3785214553842.8510484971-1697.85104849715
3793698038792.048531274-1812.04853127396
3805070349070.87694202471632.12305797528
3816811267079.78686047361032.21313952639
3826837965881.88057958642497.11942041361
3836573567085.8246316015-1350.82463160151
3846071665630.380739352-4914.38073935203
3855046350080.9321727752382.067827224775
3863374937116.9040371613-3367.90403716125
3873943645632.7264141683-6196.72641416831
3886699054613.439267782712376.5607322173
3897054162112.47544835158428.52455164846
3907502767446.09504895637580.90495104373
3916923372291.9104721811-3058.91047218115
3925321356968.3322739084-3755.33227390843
3933118639592.768774775-8406.76877477505
3944114543747.6177756025-2602.61777560251
3956760457173.712816146210430.2871838538
3966869962850.16808160555848.83191839445
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11737924668821.784689711910424.2153102881
11747169077477.5082768622-5787.50827686215
11756942065819.24657725293600.75342274709
11765793952587.31230146085351.68769853915
11774629839753.75798490216544.24201509791
11786042260196.2515091506225.748490849401
11798103593788.339066486-12753.3390664859
11808263782710.4638504968-73.4638504968461
11817972682221.9175733562-2495.91757335622
11828634873038.998989819213309.0010101808
11836629663905.9541894752390.04581052499
11843369546334.4582745423-12639.4582745423
11855219949194.44876901793004.55123098214
11867251778967.6764803978-6450.6764803978
11877227773635.4050767586-1358.40507675859
11887307872069.69105588551008.30894411450
11897676367166.12389539929596.8761046008
11906565556706.88768479278948.11231520725
11913465743415.7241497251-8758.7241497251
11925641750726.13017680295690.86982319706
11936869983464.0123476958-14765.0123476958
11947716372308.67656611514854.32343388486
11957970075550.91725065454149.08274934547
11967815173184.7353369834966.26466301696
11975978158711.84001554861069.15998445145
11984482939582.42707380775246.5729261923
11994699261453.8978499777-14461.8978499777
12007703075080.71862045711949.28137954288
12019259678009.31197212214586.6880278779
12028493388387.108367891-3454.10836789098
12038391879914.34331991464003.65668008545
12046330663075.9777877716230.022212228352
12054728642399.60648267394886.39351732607
12067740363042.977322806214360.0226771938
1207102768112052.890744839-9284.89074483946
1208118361108278.42303391710082.5769660829
1209107708113351.364327949-5643.36432794936
121094705102338.297198986-7633.29719898617
12117612273269.49231467242852.50768532764
12124541750946.2955869702-5529.29558697024
12137980664517.927657436715288.0723425633
1214106346112876.824523258-6530.82452325831
121595826112757.086613556-16931.0866135560
12169379796933.5470601537-3136.54706015369
12179935188511.149521858910839.8504781411
12188383873916.00589748429921.99410251578
12195417454297.6492084312-123.649208431176
12208455976556.5508447568002.44915524407
1221116492120248.255698814-3756.25569881430
1222114543121592.170661768-7049.17066176792
1223123407113836.0887227649570.91127723639
1224114677114486.868331064190.131668935937
122511037887766.794509788522611.2054902115
12269604069217.696800575126822.3031994249
1227141857127042.39951004414814.600489956
1228233465199250.94513729934214.0548627005
1229146022232273.681309306-86251.6813093062
1230142124165995.4306771-23871.4306771000
1231118067139364.636333654-21297.6363336538
12328301096074.539569994-13064.5395699941
12337569557440.196514229118254.8034857709
123410415799697.1269648614459.87303513907
1235150161149140.5678220651020.43217793459
1236174832147032.49493276727799.5050672329
1237139935170685.070006768-30750.0700067684
1238108749138816.684613071-30067.6846130713
123910997790695.035822895819281.9641771042
12407887272170.82620297536701.17379702469
1241126451106505.36330798619945.6366920136
1242161295175262.524754302-13967.5247543018


Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
1243163639.163111119144493.081258922182785.244963315
1244161722.127739993136011.27630324187432.979176746
1245151399.692382014121584.510688206181214.874075821
1246122114.25262445892070.7661305483152157.739118368
124783236.183687341355745.2351918822110727.132182800
1248115542.92229992374341.011270294156744.833329552
1249163636.979373179106397.184989356220876.773757001