Estimated Parameters of Exponential Smoothing
ParameterValue
alpha1
beta0.104796466407934
gammaFALSE


Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
30.96430.95310.0112
40.9470.9351737204237690.0118262795762311
50.9060.91911307273411-0.0131130727341101
60.94920.8767388690478250.0724611309521748
70.93970.9275325395235360.0121674604764642
80.90410.919307646386627-0.0152076463866273
90.87210.882113938782927-0.0100139387829274
100.85520.8490645133836510.00613548661634866
110.85640.8328074907007380.0235925092992623
120.89730.8364799023089970.0608200976910032
130.93830.8837536336335990.0545463663664008
140.92170.930469900084191-0.00876990008419076
150.90950.912950845544617-0.00345084554461683
160.8920.900389209125421-0.0083892091254214
170.87420.88201004965312-0.00781004965312004
180.85320.863391584047003-0.0101915840470026
190.86070.8413235420517770.0193764579482228
200.90050.8508541263762530.0496458736237471
210.91110.8958568385037560.0152431614962436
220.90590.908054267965448-0.00215426796544826
230.88830.902628508294974-0.0143285082949736
240.89240.8835269312567630.00887306874323657
250.88330.888556797507249-0.00525679750724939
260.870.878905903703868-0.00890590370386757
270.87580.8646725964655330.0111274035344671
280.88580.871638709036240.0141612909637597
290.9170.8831227622890170.0338772377109832
300.95540.917872977092790.0375270229072104
310.99220.9602056764882750.0319943235117252
320.97781.00035856853742-0.0225585685374159
330.98080.983594510267473-0.00279451026747346
340.98110.986301655466102-0.00520165546610163
351.00140.9860565403537830.0153434596462175
361.01831.007964480707180.0103355192928209
371.06221.025947606607560.0362523933924426
381.07731.073646729333920.0036532706660839
391.08071.08912957919055-0.00842957919055309
401.08481.09164618907808-0.00684618907807732
411.15821.095028732654330.0631712673456657
421.16631.17504885825067-0.00874885825067095
431.13721.1822320088209-0.0450320088208966
441.11391.14841281342122-0.034512813421216
451.12221.121495992528880.00070400747112398
461.16921.129869770024170.0393302299758251
471.17021.18099143914865-0.0107914391486528
481.22861.180860534458420.0477394655415824
491.26131.244263461755380.0170365382446214
501.26461.27874883076324-0.0141488307632389
511.22621.28056608329545-0.0543660832954473
521.19851.23646870987365-0.0379687098736452
531.20071.20478972324482-0.00408972324481893
541.21381.206561134700180.00723886529982432
551.22661.22041974220440.00618025779559961
561.21761.23386741138287-0.0162674113828691
571.22181.22316264415234-0.00136264415234022
581.2491.22721984386020.0217801561397966
591.29911.256702327261470.0423976727385325
601.34081.311245453548390.0295545464516145
611.31191.3560426655828-0.0441426655828039
621.30141.3225166702119-0.021116670211899
631.32011.309803717791390.0102962822086099
641.29381.32958273178399-0.0357827317839914
651.26941.29953282793461-0.0301328279346063
661.21651.27197501404418-0.0554750140441813
671.20371.21326142859842-0.00956142859842046
681.22921.199459424667490.0297405753325057
691.22561.22807613187128-0.00247613187127982
701.20151.22421664200081-0.0227166420008096
711.17861.19773601819047-0.0191360181904707
721.18561.172830631102990.0127693688970085
731.21031.181168815841660.0291311841583426
741.19381.20892166100373-0.0151216610037304
751.2021.190836964364320.0111630356356791
761.22711.200206811053330.0268931889466744
771.2771.228125122225380.0488748777746215
781.2651.28314703671228-0.0181470367122782
791.26841.26924529138906-0.000845291389056424
801.28111.27255670783840.00854329216160177
811.27271.28615201466842-0.0134520146684247
821.26111.27634229106511-0.015242291065106
831.28811.263144952821520.0249550471784781
841.32131.292760153584870.0285398464151303
851.29991.328951028641-0.0290510286410002
861.30741.304506583493910.00289341650609187
871.32421.312309803319590.0118901966804075
881.35161.330355853916590.0212441460834052
891.35111.35998216535799-0.00888216535798958
901.34191.35855134581442-0.0166513458144211
911.37161.347606343612130.0239936563878664
921.36221.37982079401779-0.0176207940177877
931.38961.368574197069420.0210258029305781
941.42271.398177626919940.0245223730800641
951.46841.433847484966660.0345525150333361
961.4571.48316846644766-0.0261684664476642
971.47181.469026103632630.00277389636736536
981.47481.48411679817012-0.0093167981701161
991.55271.486140430643650.0665595693563477
1001.5751.571015638317830.00398436168216887
1011.55571.59373318534301-0.0380331853430136
1021.55531.57044744191283-0.0151474419128279
1031.5771.568460043525240.00853995647475614
1041.49751.59105500078708-0.093555000787076
1051.43691.5017507672898-0.0648507672897989
1061.33221.43435463603398-0.102154636033985
1071.27321.31894919115043-0.0457491911504346
1081.34491.255154837576850.089745162423152
1091.32391.336259813476-0.0123598134760003
1101.27851.31396454869825-0.0354645486982545
1111.3051.264847989311930.0401520106880748
1121.3191.295555778151210.0234442218487909
1131.3651.312012649758650.052987350241354
1141.40161.363565536828260.0380344631717404
1151.40881.404151414170380.00464858582961947
1161.42681.411838569539120.0149614304608814
1171.45621.431406474583830.0247935254161729
1181.48161.463404748437240.0181952515627628
1191.49141.490711546506420.00068845349358182
1201.46141.50058369399983-0.0391836939998318
1211.42721.46647738132784-0.0392773813278398
1221.36861.42816125055493-0.0595612505549252
1231.35691.36331944196193-0.00641944196193145
1241.34061.35094670712801-0.0103467071280101
1251.25651.33356240878204-0.0770624087820371
1261.22081.2413865406488-0.0205865406487955
1271.2771.203529143933240.0734708560667612
1281.28941.2674286300330.021971369966999
1291.30671.282131151967680.0245688480323158
1301.38981.302005880425180.0877941195748158
1311.36611.39430639392802-0.0282063939280204
1321.3221.36765046351425-0.0456504635142538
1331.3361.318766456248080.0172335437519242
1341.36491.334572470736960.0303275292630361
1351.39991.366650688638610.0332493113613865
1361.44421.405135098979780.0390649010202162
1371.43491.45352896256728-0.018628962567278
1381.43881.44227671311738-0.00347671311738162
1391.42641.44581236586797-0.0194123658679661
1401.43431.431378018520390.00292198147961487
1411.3771.43958423185436-0.0625842318543581
1421.37061.37572562550317-0.00512562550316664
1431.35561.3687884780623-0.0131884780623046
1441.31791.35240637216408-0.0345063721640761
1451.29051.31109022629272-0.0205902262927242
1461.32241.281532443334710.0408675566652932
1471.32011.317715218863960.00238478113604446
1481.31621.315665135500170.000534864499830645
1491.27891.31182118740976-0.0329211874097588
1501.25261.27107116329926-0.0184711632992625
1511.22881.24283545065506-0.014035450655056
1521.241.217564585021960.022435414978037
1531.28561.231115737234060.054484262765943
1541.29741.282425495446770.0149745045532308
1551.28281.29579477061016-0.0129947706101574


Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
1561.279832964568431.216011249514661.3436546796222
1571.276865929136861.181761396354291.37197046191944
1581.273898893705291.15140624501881.39639154239179
1591.270931858273721.122468366991171.41939534955628
1601.267964822842161.094053303981051.44187634170326
1611.264997787410591.065735799363131.46425977545804
1621.262030751979021.037283682676611.48677782128142
1631.259063716547451.008559427796071.50956800529883
1641.256096681115880.9794773273078961.53271603492386
1651.253129645684310.9499822949338481.55627699643478
1661.250162610252740.9200383711660881.5802868493394
1671.247195574821170.8896220519622021.60476909768015