Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.673137133157462
beta0.00174811156229491
gamma0.0476863130055915


Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
13841.07932.14608974359-91.0760897435896
14836.45869.058992408638-32.6089924086384
15831.83844.326981076513-12.496981076513
16817.97822.53090596188-4.56090596188005
17771.75772.363614127951-0.613614127951337
18707.05700.5960022848996.45399771510085
19716.3756.835540289964-40.535540289964
20725.54738.641976461356-13.1019764613565
21716.3694.22871246520522.0712875347946
22707.05684.30660025831722.7433997416825
23716.3682.74700765504433.5529923449557
24780.99656.549902331078124.440097668922
25859.56747.442037660522112.117962339478
26961.22822.299613244237138.920386755763
27938.12913.80161321224124.3183867877594
28988.95917.41208245339971.5379175466012
29910.39919.121861898621-8.73186189862088
30901.15842.58076658521258.569233414788
31896.53933.810957904214-37.280957904214
32910.39918.881981349896-8.49198134989558
33988.95878.771745748682110.178254251318
34988.95928.92348567036960.0265143296309
35965.85953.42820656079312.4217934392074
36975.09915.19786471099459.8921352890056
371002.82963.14666245469439.6733375453061
381025.92990.26994681384735.6500531861535
391081.381010.962151682870.4178483171981
401164.561046.88572116794117.674278832064
411201.531079.00056776296122.529432237036
421229.261092.61992074259136.640079257407
431275.471235.7549415729839.7150584270187
441275.471274.04062590791.4293740920989
451307.821243.4072497494264.4127502505848
461252.361262.86569435055-10.505694350549
471261.611239.9624348510721.6475651489297
481340.171209.50495108375130.665048916254
491414.111305.68449055959108.425509440411
501409.491380.0116199323329.4783800676685
511432.591398.0710173476734.5189826523322
521520.41411.50371826463108.896281735369
531529.641438.7125269447190.9274730552909
541455.71432.169263298923.5307367010969
551427.971498.41222305421-70.4422230542114
561538.881462.5773686915176.3026313084936
571612.821484.04095416845128.779045831553
581635.931546.4500155835389.4799844164688
591603.581592.2606717454111.3193282545867
601589.721557.4466310958132.273368904195
611557.371587.82917258909-30.4591725890889
621589.721568.0546377900621.6653622099359
631668.281581.5414886849586.7385113150503
641635.931631.953970156863.97602984314358
651615.681588.8030882107726.8769117892305
661644.691538.56524339662106.124756603381
671622.711659.50848434345-36.7984843434513
681626.111649.21528932464-23.1052893246351
691705.551605.0721951144100.477804885598
701841.351648.27532696558193.074673034421
712029.031763.1802720762265.8497279238
722024.211900.90535229016123.304647709837
731952.871992.57239024273-39.7023902427297
742153.061968.36325219664184.696747803363
752339.292093.77360304915245.516396950847
762502.892251.12893566577251.76106433423
772515.372376.77345787717138.596542122832
782445.682404.7500773630740.9299226369312
792491.112481.280416150559.82958384945005
802691.322504.34249725107186.977502748933
812651.82605.5421729853446.2578270146569
822593.492615.62928552589-22.1392855258869
832697.232588.48497807345108.745021926547
842751.632619.73526316326131.894736836736
852713.92716.15399529838-2.25399529838023
862747.212722.2046704162625.0053295837365
872982.322742.43509919522239.884900804784
883063.392897.45668336647165.93331663353
893058.72964.8221698427493.8778301572588
903074.382962.38071473298111.999285267016
913341.063087.55542112812253.504578871878
923500.033278.98180898025221.048191019754
93392.883402.53887530566-3009.65887530566
943071.521352.529453664331718.99054633567
952516.412499.513760459816.8962395401963
962350.72469.25936337213-118.559363372129
972488.682394.6637775362294.0162224637811
982872.652465.72227987299406.927720127007
993220.212746.61745099536473.592549004642
1003078.043058.3079609447219.7320390552768
1013043.983026.4690845038617.5109154961383
1023134.342973.14708455847161.192915441526
1033141.853133.941768074857.90823192514972
1043128.013159.55353440578-31.5435344057814
1053241.163062.43913530533178.720864694671
1063389.483235.81731622871153.662683771292
1073406.363304.21490457786102.145095422136
1083449.843330.9576005669118.882399433102
1093606.243421.50992915627184.730070843727
1103653.993560.6190072560693.3709927439409
1113607.313633.22803115209-25.9180311520931
1123712.523602.75879844175109.761201558248
1133803.473632.74686177336170.723138226642
1143806.333686.23712853385120.09287146615
1153768.43818.36812787627-49.968127876266
1163952.063805.72964527908146.330354720921
1174134.853833.15884865324301.691151346756
1184060.94090.59973394268-29.6997339426844
1193999.884036.22792250328-36.3479225032811
1204004.033971.3053916617232.7246083382847
1213977.344006.08537212726-28.7453721272586
1223650.084001.01829882829-350.938298828288
1233708.853773.11016829101-64.2601682910054
1243764.783719.3243906136745.4556093863262
1253761.863707.2786637916254.5813362083845
1263802.553681.96622162689120.58377837311
1273773.523811.94334393018-38.4233439301752
1283428.73810.31574746428-381.615747464278
1293194.213484.34515340551-290.135153405507
1303095.563337.10274921918-241.542749219181
1313064.853138.64095783099-73.7909578309941
1323022.983048.15973978607-25.1797397860678
1332887.663041.50487536782-153.844875367822
1343178.862945.56033759591233.299662404094
1353438.473114.43401679374324.035983206258
1363493.873323.23296432482170.637035675182
1373421.893395.2390886786526.650911321351
1383390.283351.7668897006138.513110299386
1393319.243423.5366748046-104.296674804604
1403287.843371.6563810861-83.8163810860951
1413222.823247.36031074225-24.5403107422476
1423182.693279.75840666622-97.0684066662175
1433180.213181.43373851566-1.22373851565862
1443116.343140.91464971728-24.57464971728
1453297.463133.01905905619164.440940943809
1463357.483258.0908873186899.3891126813228
1473386.033338.813111247747.2168887523048
1483319.453359.13250882512-39.682508825118
1493363.593287.3216292663776.2683707336319
1503303.473277.4932516783925.9767483216087
1513210.553338.64320682903-128.093206829033
1523050.273271.08062642305-220.81062642305
1533010.553055.34818677572-44.7981867757198
1543011.653072.81124416142-61.1612441614179
1553104.983000.02497003837104.955029961627
1563087.853030.6137574225457.2362425774581
1573160.163080.8295212825579.3304787174516
1583319.223147.59147130413171.628528695865
1593432.493276.20762132464156.28237867536
1603475.683368.79699376152106.883006238482
1613347.483397.83301881398-50.3530188139821
1623388.813302.2190955241186.5909044758914
1633610.233402.07244831361208.157551686395
1643691.453560.10646535886131.343534641136
1653587.863585.278841791842.58115820815965
1663704.623635.5486867243269.071313275681
1673798.753654.33830550224144.411694497759
1683956.543712.11176837136244.428231628638
1694121.943890.26678042787231.673219572132
1704148.564062.7831789616485.776821038361
1714100.374135.03738820598-34.6673882059813
1724060.714099.76393573782-39.0539357378193
1734147.864029.38437555235118.475624447645
1743926.614051.01928354536-124.409283545364
1753865.414011.9566053147-146.546605314703
1763978.573930.8325899897947.7374100102079
1773851.953898.4249923652-46.4749923651989
1783701.223917.35738718317-216.137387183172
1793738.653745.64884244463-6.99884244462601
1803766.93703.1951107861763.7048892138268
1813711.023759.42097275299-48.4009727529924
1823675.223740.7266468658-65.5066468657997
1833560.533708.68265294843-148.152652948432
1843723.83596.22980861212127.570191387884
1853914.273639.94272706204274.327272937957
1863870.773762.36093761137108.409062388627
1873924.363879.6054329644644.7545670355353
1883968.893930.4402821954638.4497178045381
1893982.933890.4600464149292.4699535850827
1903917.094000.58816494263-83.498164942625
1913969.183921.89113287547.2888671249975
1924149.813917.61371512992232.196284870079
1934406.884086.23946774357320.64053225643
194423.824316.85777324755-3893.03777324755
195417.721703.7320430688-1286.0120430688
1964527.16824.9622976616313702.19770233837
1974617.393276.704394573691340.68560542631
1984656.234115.12382969769541.106170302308
1994579.94523.9317851123755.9682148876254
2004652.44583.5210240737668.8789759262363
2014722.954566.20600567401156.743994325991
2024845.814718.27235197466127.537648025337
2034975.214785.33403335255189.875966647447
2045083.644881.75131146391201.888688536092
2055378.045033.1506961675344.889303832504
2065684.445216.23839544356468.201604556443
2075841.875586.41696390932255.453036090681
2085857.235831.7858419098325.4441580901657
2096174.525776.20406386372398.315936136276
2106413.175971.15170720224442.018292797765
2116780.116308.91672320554471.193276794461
2126524.946651.91779153244-126.977791532443
2136466.76507.61056680114-40.9105668011425
2146495.616529.41718335937-33.8071833593731
2156399.526491.89760104463-92.377601044629
2166729.986401.22890296296328.751097037037
2177060.776643.12444142688417.645558573116
2187423.276880.06616739339543.203832606614
2198069.177300.46072500281768.709274997185
2208650.687891.38556441854759.294435581465
2218938.078340.11035337551597.959646624486
2229482.088674.87448528984807.205514710158
22310225.269264.09276074664961.167239253358
2249390.279933.34386813133-543.073868131334
2258546.119515.55280941992-969.442809419921
2268073.778916.61235861421-842.842358614209
2278655.318336.80796539235318.502034607651
2289150.18532.98491964955617.115080350446
2299775.818974.41710196119801.392898038808
2309785.149476.12458802585309.015411974147
2319363.449746.61169080398-383.17169080398
2329304.189564.87903100788-260.699031007878
2339030.269326.1564895988-295.896489598796
2348920.89063.10539284537-142.305392845376
2358606.089015.06613148586-408.986131485855
2368353.758736.45113825301-382.701138253011
2378615.638418.03731359765197.592686402349
2388128.648606.08852809748-477.448528097478
2398715.948290.21942838188425.720571618123
2408500.88563.22317101104-62.4231710110398
2418142.588549.3051771897-406.725177189703
2427614.668227.88721619084-613.22721619084
2437558.957863.48262102487-304.53262102487
2447820.757733.3794441563787.3705558436332
2457828.97725.60206555081103.297934449193
2467904.597731.32252302765173.267476972348
2478140.977889.58665438624251.383345613764
2488483.018054.71394596717428.296054032828
2498322.688291.0251020797331.6548979202726
2508268.018356.4280601315-88.4180601315038
2518402.058316.5376072132785.5123927867317
2528177.788352.55582194292-174.775821942917
2537950.548257.14015417034-306.60015417034
2548049.947999.5168227596250.4231772403791
2557674.138087.04795005844-412.91795005844
2567666.367890.36400627691-224.004006276908
2577570.187673.13957851143-102.959578511431
2587694.457540.77081784452153.679182155479
2597810.647686.7036393427123.936360657296
2607748.437768.28589731047-19.8558973104673
2617040.647695.70633120277-655.06633120277
2627077.267295.13148623754-217.871486237545
2637245.517168.8111486951776.6988513048291
2647289.127192.8281773930296.2918226069778
2657486.927276.13106493411210.788935065889
2667519.887371.26283372445148.617166275554
2677554.847516.7018934967338.1381065032665
2687780.897626.14783363693154.742166363071
2697748.097665.7666252353482.3233747646564
2707152.257662.34532628438-510.09532628438
2716484.667360.44863110534-875.788631105335
2726254.586765.10655652292-510.526556522923
2735867.326350.02897192295-482.708971922954
2745544.166070.18316191387-526.023161913869
2755822.745738.5577054170284.1822945829772
2765690.635765.45809958648-74.8280995864816
2775564.785732.69769509507-167.917695095071
2785088.395568.83250162534-480.442501625344
2794784.225285.25948650691-501.039486506914
2805332.465029.10137202357303.358627976429
2815541.485163.32442947174378.155570528256
2825723.925345.84670614287378.073293857134
2835736.995633.19629654679103.793703453207
2845992.075701.18048357883290.889516421173
2856091.435825.18216693695266.247833063047
2866158.176048.87593241319109.294067586809
2876303.796155.22895863842148.56104136158
2886349.716223.87401875544125.835981244561
2896802.966325.86062437095477.09937562905
2907132.686593.19163105734539.488368942657
2917073.296998.9336337167774.3563662832339
2927264.57146.39369239811118.106307601891
2937105.337160.62419294946-55.2941929494609
2947218.717054.40581515108164.30418484892
2957225.727196.3645289241829.3554710758171
2967354.257219.85043865721134.399561342794
2977745.467240.63731065294504.822689347061
2988070.267625.26746161337444.992538386632
2998366.337961.38787755645404.942122443553
3008667.518205.74427280476461.765727195245
3018854.348543.21398364064311.126016359362
3029218.18703.48052214084514.619477859156
3039332.99088.88904102504244.010958974963
3049358.319355.088116209313.22188379068575
3059248.669293.00396980103-44.3439698010316
3069401.29201.31343219619199.886567803813
3079652.049368.89639332193283.143606678068
3089957.389568.92832268704388.451677312964
30910110.639770.87428974218339.755710257821
31010169.2610047.638363873121.62163612698
31110343.7810169.2602418088174.51975819122
31210750.2110262.9240333439487.285966656082
31311337.510618.7819342914718.718065708588
31411786.9611060.6228399254726.337160074634
31512083.0411588.6147751338494.425224866189
31612007.7412024.2048334557-16.4648334557241
31711745.9311952.6852511325-206.755251132463
31811051.5111759.843158091-708.333158090962
31911445.911320.6654108818125.234589118163
32011924.8811419.1565234831505.723476516865
32112247.6311702.5336525806545.096347419381
32212690.9112117.6119097605573.298090239499
32312910.712548.1218002067362.578199793312
32413202.1212777.4943569393424.625643060701
32513654.6713098.9514332611555.71856673888
32613862.8213435.1691372782427.650862721845
32713523.9313762.1170360091-238.187036009067
32814211.1713699.3609002245511.809099775548
32914510.3513983.8632213278526.486778672186
33014289.2314281.02548602398.20451397605393
33114111.8214342.2616981679-230.441698167862
33213086.5914211.9391203421-1125.34912034207
33313351.5413400.7496936358-49.209693635783
33413747.6913418.274007956329.415992044036
33512855.6113683.102299161-827.492299160982
33612926.9313112.7299238592-185.799923859202
33712121.9513024.980500663-903.030500662993
33811731.6512375.1976117026-643.547611702617
33911639.5111967.3769510075-327.866951007465
34012163.7811852.5117592314311.26824076861
34112029.5311998.583101904430.946898095639
34211234.1811949.8492960714-715.669296071394
3439852.1311514.9962500614-1662.86625006139
3449709.0410399.7179701148-690.677970114792
3459332.759891.61825578066-558.868255780657
3467108.69565.09709586487-2456.49709586487
3476691.497926.43603922568-1234.94603922568
3486143.057081.15874605129-938.108746051292
3496379.156464.30301195721-85.1530119572108
3505994.586358.55085620887-363.970856208874
3515607.946133.61564782467-525.675647824672
3526046.135885.09891693806161.031083061936
3536624.965915.03263982363709.927360176373
3546652.546301.86927041274350.67072958726
35566966561.46112008182134.538879918177
3567315.166664.76708157602650.392918423981
3577907.797056.55526493135851.23473506865
3588066.357646.41674353922419.933256460782
3597939.647963.18076976287-23.5407697628698
3608068.487939.55042483056128.929575169443
3618186.338057.08664354779129.243356452214
3627975.218094.39294053711-119.182940537114
3638357.518035.08733811157322.422661888434
3648463.388372.5329082780390.8470917219674
3657937.688368.06839414237-430.388394142374
3668034.627984.6642547707449.9557452292584
3678056.618041.0588022877915.5511977122078
3688176.958074.76422161836102.18577838164
3698441.048102.47316254684338.566837453165
3708697.398341.72177170074355.668228299255
3718665.578609.444196547556.1258034524963
3728625.778643.04061728136-17.2706172813596
3738718.428663.2206111765955.1993888234119
3748822.348647.77750574143174.562494258565
3758597.678794.39630846971-196.726308469706
3768782.058779.473184482092.57681551791211
3778661.068708.06166003112-47.0016600311174
3788265.328591.26300289626-325.94300289626
3798072.588394.69412418807-322.114124188074
380721.858202.66174204811-7480.81174204811
3817138.63120.941761964994017.65823803501
3827351.115832.603068832941518.50693116705
38370776875.38790758994201.612092410056
3847272.377002.92516313021269.444836869788
3857577.847214.72357389251363.116426107485


Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
3867406.263707326776113.150586736478699.37682791706
3877427.237714428095867.602207076468986.87322177973
3887545.72331733345758.143887306959333.30274735984
3897469.679865212575479.434131151899459.92559927324
3907378.102648411375203.388612867849552.81668395491
3917399.312036072125054.028681613099744.59539053115
3927311.218120956674806.422452323549816.0137895898
3937451.831736750034796.5864083837510107.0770651163
3947422.872554433954624.7771521925210220.9679566754
3957423.949289959714489.4925513071810358.4060286122
3967417.57560752464352.3793988838610482.7718161654
3977449.888027466654258.8824100960510640.8936448372