Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.674901737704269
beta0
gammaFALSE


Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
3938.121058.28-120.16
4947.36995.673807197455-48.3138071974549
5956.6981.556734764784-24.9567347647835
6956.6983.203391104607-26.6033911046065
7942.74983.738716219281-40.9987162192813
8951.98974.558611399244-22.5786113992441
9919.63977.810267330945-58.1802673309448
10901.15957.034303809191-55.8843038091912
11887.28937.807890057975-50.5278900579748
12836.45922.196529255317-85.7465292553172
13841.07882.816047658794-41.7460476587937
14836.45873.131567551589-36.6815675515886
15831.83866.865113869305-35.035113869305
16817.97861.709854638244-43.7398546382441
17771.75850.679750735961-78.9297507359611
18707.05815.899924807696-108.849924807696
19716.3760.926921406003-44.626921406003
20725.54749.2981346007-23.7581346006997
21716.3751.753728274075-35.4537282740755
22707.05746.315945453807-39.2659454538069
23716.3738.305290634432-22.0052906344316
24780.99741.94388174656639.0461182534339
25859.56786.78617480641572.7738251935849
26961.22854.391355888952106.828644111048
27938.12944.980193436089-6.86019343608939
28988.95958.84023696508530.1097630349147
29910.39997.651368359213-87.2613683592131
30901.15957.248519219128-56.0985192191279
31896.53937.877531115502-41.3475311155021
32910.39928.462010515868-18.0720105158683
33988.95934.75517921489954.1948207851011
34988.95989.821357937335-0.871357937335119
35965.851007.72327695127-41.8732769512653
36975.09997.952929573484-22.8629295734843
371002.821001.012698675331.80730132467056
381025.921020.72244947995.19755052009521
391081.381042.7202853577238.6597146422773
401164.561087.3017939489577.2582060510531
411201.531157.9334914647243.596508535283
421229.261205.8468508330223.4131491669814
431275.471240.1384258909435.3315741090564
441275.471282.47376665297-7.0037666529729
451307.821296.2369123684111.5830876315936
461252.361322.54435833895-70.1843583389498
471261.611293.66681293633-32.0568129363335
481340.171290.5216141803449.6483858196589
491414.111342.5193960442471.590603955759
501409.491409.326019057280.163980942719263
511432.591427.926690080474.66330991952759
521520.41449.5639660486270.8360339513849
531529.641515.8613284544813.7786715455165
541455.71543.65057782381-87.950577823809
551427.971502.78258001843-74.8125800184257
561538.881470.7814397618568.0985602381495
571612.821535.2312764017477.5887235982634
581635.931606.0860407844629.8439592155394
591603.581644.717780719-41.1377807190036
601589.721635.44382102645-45.7238210264509
611557.371623.07473476122-65.7047347612204
621589.721597.22049509547-7.50049509547443
631668.281610.648397921957.6316020781035
641635.931668.03406631109-32.1040663110894
651615.681664.85697617036-49.176976170362
661644.691650.15734949794-5.46734949794313
671622.711664.95742582114-42.2474258211448
681626.111654.93456472092-28.8245647209221
691705.551653.970815902251.5791840977975
701841.351707.27169687917134.078303120825
712029.031816.25137664386212.778623356141
722024.211978.3460392932445.8639607067591
731952.872027.78970607223-74.9197060722331
742153.061995.71626625579157.34373374421
752339.292120.39782557664218.892174423365
762502.892286.61853446483216.27146553517
772515.372451.0705223703764.2994776296346
782445.682512.95635155608-67.2763515560823
792491.112486.041424984485.06857501552122
802691.322507.95221507014183.367784929862
812651.82650.197451758281.60254824171534
822593.492669.76901435137-76.2790143513739
832697.232636.7781750152660.4518249847374
842751.632696.0672167448655.5627832551436
852713.92752.05663571544-38.1566357154384
862747.212744.794655966142.41534403385958
872982.322764.91477585175217.405224148255
883063.392930.13193941539133.258060584611
893058.73038.5580360670420.1419639329561
903074.383070.641882526173.73811747382751
913341.063091.654744505249.405255494999
923500.033278.46878483115221.561215168847
93392.883446.49083395648-3053.61083395648
943071.521404.093575846671667.42642415333
952516.412547.93256700177-31.522567001768
962350.72545.14793175537-194.447931755375
972488.682432.4046847206756.2753152793289
982872.652488.87499279255383.775007207455
993220.212766.37541204433453.834587955675
1003078.043091.15916408591-13.1191640859115
1013043.983100.7950174471-56.8150174471025
1023134.343080.9404634443553.3995365556457
1033141.853135.469903458366.38009654163716
1043128.013158.26584170103-30.2558417010341
1053241.163156.336121561384.8238784386986
1063389.483232.07390451839157.406095481605
1073406.363356.7975518841749.5624481158261
1083449.843408.7373342424241.1026657575776
1093606.243454.96759478649151.27240521351
1103653.993575.5516039317978.438396068208
1113607.313646.97981374096-39.6698137409617
1123712.523638.6965875127873.8234124872183
1133803.473707.0101368836696.4598631163358
1143806.333790.601066119615.7289338804048
1153768.43819.70655092772-51.3065509277153
1163952.063803.56967055099148.490329449012
1174134.853922.27605192841212.573948071595
1184060.94084.23257887258-23.332578872582
1193999.884086.97538084635-87.0953808463546
1204004.034046.68455696713-42.6545569671348
1213977.344036.38692234901-59.0469223490099
1223650.084015.02605184957-364.946051849574
1233708.853787.21332728798-78.3633272879838
1243764.783752.8157815290411.9642184709651
1253761.863779.38045336536-17.5204533653628
1263802.553786.0458689437116.5041310562874
1273773.523815.6745356729-42.1545356729007
1283428.73805.71436629514-377.014366295143
1293194.213569.75671534308-375.546715343077
1303095.563334.7895845689-239.229584568904
1313064.853191.82312223308-126.973122233081
1323022.983124.61874139624-101.638741396238
1332887.663074.51257820984-186.852578209842
1343178.862966.8954484815211.964551518503
1353438.473128.44069263304310.029307366959
1363493.873356.17001091425137.699989085747
1373421.893467.59397283008-45.7039728300829
1383390.283455.23828214707-64.9582821470708
1393319.243429.88782464773-110.647824647729
1403287.843373.70141551978-85.8614155197793
1413222.823334.24339698373-111.423396983732
1423182.693277.5335527385-94.8435527384986
1433180.213232.01347418524-51.8034741852398
1443116.343215.5412194385-99.2012194385034
1453297.463167.08014405707130.379855942925
1463357.483273.5637353945983.9162646054124
1473386.033348.6889681984337.3410318015681
1483319.453392.38049544898-72.9304954489808
1493363.593361.649577338831.94042266116958
1503303.473381.44917196473-77.9791719647351
1513210.553347.310893301-136.760893300995
1523050.273273.50072876217-223.230728762166
1533010.553141.33192201159-130.781922011589
1543011.653071.55697558566-59.9069755856631
1553104.983049.6156536622955.364346337708
1563087.853105.47114721247-17.6211472124719
1573160.163112.0686043384348.0913956615677
1583319.223163.01557083905156.204429160952
1593432.493286.92821151688145.561788483122
1603475.683403.6581155074872.0218844925216
1613347.483470.75581050422-123.275810504217
1623388.813406.04675177802-17.236751778019
1633610.233412.90363805066197.326361949343
1643691.453564.56954262513126.880457374869
1653587.863668.69138378814-80.8313837881419
1663704.623632.6281424084871.9918575915153
1673798.753699.7055721975699.0444278024434
1683956.543785.04082863135171.49917136865
1694121.943919.27591740289202.664082597105
1704148.564074.5442589179274.0157410820784
1714100.374142.98761119169-42.6176111916857
1724060.714132.71491134161-72.0049113416117
1734147.864102.6086715539245.2513284460838
1743926.614151.6388717556-225.028871755605
1753865.414018.25649517412-152.846495174116
1763978.573933.590129979144.9798700209026
1773851.953982.43712241792-130.487122417917
1783701.223912.86113675004-211.641136750035
1793738.653788.51416578773-49.8641657877292
1803766.93773.35075364842-6.4507536484175
1813711.023787.4871288016-76.4671288015984
1823675.223754.36933069614-79.1493306961434
1833560.533719.44130987119-158.911309871186
1843723.83630.6817906982693.1182093017387
1853914.273712.01743196791202.252568032085
1863870.773867.008041587923.76195841207982
1873924.363888.036993857436.3230061425961
1883968.893931.0414538216837.8485461783152
1893982.933975.075503407017.85449659299002
1903917.093998.86651680641-81.7765168064107
1913969.183962.165403510367.01459648963782
1924149.813985.38956687051164.420433129488
1934406.884114.84720290369292.032797096308
194423.824330.43064513063-3906.61064513063
195417.721712.34233219797-1294.62233219797
1964527.16857.0894705268063670.07052947319
1974617.393352.516448365491264.87355163451
1984656.234224.67180633979431.558193660207
1994579.94534.4211811615845.4788188384182
2004652.44583.6049150243768.7950849756326
2014722.954648.5248374199374.4251625800653
2024845.814717.24450897414128.565491025857
2034975.214822.5035822763152.706417723703
2045083.644944.05540895662139.584591043383
2055378.045056.75129200854321.288707991464
2065684.445292.07959933673392.360400663265
2075841.875575.37431555072266.495684449284
2085857.235773.7227160762383.5072839237737
2096174.525848.57192710734325.948072892656
2106413.176087.04484790396326.125152096044
2116780.116325.63727976265454.472720237354
2126524.946650.85170839002-125.911708390023
2136466.76584.36367760028-117.663677600282
2146495.616523.44225712318-27.8322571231765
2156399.526523.14821842651-123.628218426512
2166729.986458.20131898118271.778681018824
2177060.776660.11522307175400.654776928246
2187423.276949.00782824014474.262171759857
2198069.177287.57819208827781.591807911728
2208650.687833.56586142332817.114138576681
2218938.078403.52761345145534.542386548552
2229482.088782.78119900965699.298800990347
22310225.269273.22917497255952.03082502745
2249390.279934.24643313161-543.976433131606
2258546.119585.60579314091-1039.49579314091
2268073.778902.53827601383-828.768276013832
2278655.318361.69112637793293.618873622074
2289150.18578.34501440823571.754985591768
2299775.818982.7134477252793.096552274803
2309785.149536.46568902273248.674310977274
2319363.449722.7864136237-359.346413623698
2329304.189498.75289463127-194.572894631267
2339030.269385.92530993448-355.665309934475
2348920.89164.37617421857-243.576174218571
2358606.089018.4761909751-412.3961909751
2368353.758758.63928506338-404.889285063384
2378615.638503.86880299627111.761197003732
2388128.648597.78662906199-469.146629061995
2398715.948299.64875386995416.291246130046
2408500.88599.0944392742-98.2944392741992
2418142.588551.24535140137-408.665351401374
2427614.668293.92639560106-679.26639560106
2437558.957853.97832484579-295.028324845789
2447820.757673.35319573539147.396804264614
2457828.97791.3215550656337.5784449343701
2467904.597835.1733128520669.4166871479401
2478140.977900.51275563388240.457244366122
2488483.018081.28776770015401.722232299846
2498322.688370.90080035376-48.220800353758
2508268.018356.84649840152-88.8364984015152
2518402.058315.3805912587786.6694087412288
2528177.788392.36392582403-214.583925824028
2537950.548266.03086140199-315.490861401987
2548049.948071.59553081197-21.6555308119696
2557674.138075.47017543606-401.340175436062
2567666.367823.09499362373-156.734993623728
2577570.187735.80427406801-165.624274068005
2587694.457642.514163693551.9358363064994
2597810.647696.05574986588114.584250134119
2607748.437791.87885939494-43.4488593949382
2617040.647781.04514868803-740.405148688025
2627077.267299.83442723329-222.574427233289
2637245.517168.1085595250177.4014404749905
2647289.127238.8369262023950.2830737976055
2657486.927291.26306008551195.65693991449
2667519.887441.802268827778.0777311723014
2677554.847512.9870652718941.8529347281083
2687780.897559.72368364792221.166316352085
2697748.097727.4792148755920.6107851244105
2707152.257759.8794695715-607.629469571503
2716484.667368.27928467737-883.619284677372
2726254.586790.41309397961-535.83309397961
2735867.326447.26840773332-579.948407733316
2745544.166074.35021957528-530.190219575276
2755822.745735.0139190701187.7260809298859
2765690.635812.71040353168-122.080403531679
2775564.785748.80812704851-184.02812704851
2785088.395643.09722431701-554.707224317008
2794784.225287.21435470835-502.994354708348
2805332.464966.23259066025366.227409339754
2815541.485231.89010561858309.589894381421
2825723.925459.32286331228264.597136687719
2835736.995656.389930654480.6000693456035
2845992.075729.27705751483262.792942485171
2856091.435925.12647105449166.303528945512
2866158.176055.85501172617102.314988273833
2876303.796143.39757510537160.392424894631
2886349.716270.1367013813679.5732986186431
2896802.966342.33085889394460.62914110606
2907132.686671.70026666364460.979733336356
2917073.297001.306289738871.9837102611982
2927264.57068.37822088049196.121779119515
2937105.337219.2311504099-113.901150409899
2947218.717160.8490660717457.8609339282575
2957225.727218.389510925127.33048907488501
2967354.257241.82687073998112.423129260023
2977745.467336.19143603572409.268563964281
2988070.267630.89750104294439.362498957057
2998366.337945.91401507115420.415984928849
3008667.518248.14349385828419.366506141718
3018854.348549.6646775883304.675322411704
3029218.18773.78058211956444.319417880437
3039332.99092.14252934282240.75747065718
3049358.319273.1201646546385.1898353453653
3059248.669349.10493256396-100.444932563962
3069401.29299.80447303295101.395526967046
3079652.049386.72649037845265.313509621546
3089957.389584.27703905845373.102960941545
30910110.639854.57487574051256.055124259488
31010169.2610045.8769240513123.383075948677
31110343.7810147.6383764124196.141623587619
31210750.2110298.5046990078451.705300992196
31311337.510621.8513915777715.648608422334
31411786.9611123.3338809875663.626119012459
31512083.0411589.706301895493.333698105012
31612007.7411941.148072014166.5919279858645
31711745.9312004.5810799289-258.651079928872
31811051.5111848.5070166258-796.99701662579
31911445.911329.1023451599116.797654840073
32011924.8811426.4192853713498.460714628724
32112247.6311781.3212878515466.308712148486
32212690.9112114.5238479872576.386152012834
32312910.712522.0178635693388.682136430696
32413202.1212802.830112861399.289887139012
32513654.6713090.8015515388563.868448461151
32613862.8213489.8473472419372.97265275811
32713523.9313760.0572387045-236.127238704508
32814211.1713619.1845549835591.985445016475
32914510.3514037.2065605208473.143439479221
33014289.2314375.0218900087-85.7918900086806
33114111.8214335.6107943609-223.790794360888
33213086.5914203.0639983645-1116.4739983645
33313351.5413468.0437567667-116.503756766666
33413747.6913407.9051688758339.784831124232
33512855.6113655.7165418471-800.106541847064
33612926.9313134.2132464059-207.283246405927
33712121.9513012.8074232096-890.857423209583
33811731.6512430.0562002387-698.406200238689
33911639.5111977.1906420742-337.680642074161
34012163.7811767.7793899492396.000610050784
34112029.5312053.5308898044-24.0008898044416
34211234.1812055.822647569-821.642647568975
3439852.1311519.7845969527-1667.65459695274
3449709.0410412.7716115788-703.73161157882
3459332.759956.31192404685-623.56192404685
3467108.69553.95889794141-2445.35889794141
3476691.497922.07192841016-1230.58192841016
3486143.057110.04004653867-966.99004653867
3496379.156475.90678378699-96.7567837869892
3505994.586429.09546227447-434.515462274473
3515607.946154.33022172606-546.390221726057
3526046.135804.06051161852242.06948838148
3536624.965985.92362997236639.036370027636
3546652.546435.70038656024216.839613439756
35566966600.5358184738695.464181526143
3567315.166683.45476047437631.705239525633
3577907.797128.28372434711779.506275652892
3588066.357672.86386433663393.486135663373
3597939.647956.91834105838-17.2783410583752
3608068.487963.74715865343104.732841346568
3618186.338052.92153527294133.408464727065
3627975.218161.44913994169-186.23913994169
3638357.518054.24602076649303.263979233506
3648463.388277.4094073343185.970592665701
3657937.688421.41128348627-483.731283486273
3668034.628113.43019967947-78.8101996794712
3678056.618078.73105896698-22.1210589669754
3688176.958082.291517830394.6584821696952
3698441.048164.66669193508276.373308064921
3708697.398369.68151780317327.708482196827
3718665.578609.3425418982456.2274581017609
3728625.778665.78055107781-40.0105510778103
3738718.428657.2673606288961.1526393711083
3748822.348717.02938320566105.310616794344
3758597.678806.59370147887-208.923701478867
3768782.058684.0807323031797.969267696828
3778661.068768.69036131337-107.630361313375
3788265.328714.54044343324-449.22044343324
3798072.588429.85078554786-357.270785547864
380721.858207.21811155064-7485.36811155064
3817138.63173.820165708993964.77983429101
3827351.115868.146965486841482.96303451316
38370776887.49129443097189.508705569033
3847272.377033.88104912959238.488950870405
3857577.847213.3276564953364.512343504701


Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
3867477.827670541286206.445861762938749.20947931963
3877496.317670541285962.47449793339030.16084314925
3887514.807670541285757.270173752189272.34516733037
3897533.297670541285577.485504947859489.10983613471
3907551.787670541285416.029163231329687.54617785123
3917570.277670541285268.598375763139871.95696531942
3927588.767670541285132.3493937663310045.1859473162
3937607.257670541285005.2865091066310209.2288319759
3947625.747670541284885.9452872659510365.5500538166
3957644.237670541284773.2134153555510515.261925727
3967662.727670541284666.2224647509810659.2328763316
3977681.217670541284564.2790085217810798.1563325608