Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.928823511067531
beta0.17743062680492
gamma1


Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
139.315.930459401709413.37954059829059
1410.410.543208114985-0.143208114985006
1511.311.3665940535765-0.0665940535764964
1612.212.07558278459540.124417215404634
1714.1914.08040811309530.109591886904655
1816.3116.24410759466480.0658924053351555
1919.2119.8372438199022-0.627243819902219
2023.620.68320795124752.91679204875251
2126.424.34789831978452.05210168021553
2227.0927.8268005338568-0.736800533856769
2326.8129.5484621264018-2.73846212640177
2427.928.6342133867029-0.734213386702859
2527.3929.3102688571063-1.92026885710631
2628.428.4698604244248-0.069860424424796
2727.129.0990817344459-1.99908173444589
2826.627.4405038481516-0.840503848151577
2924.9127.8027897876453-2.89278978764527
3022.7925.9346556836229-3.14465568362294
3119.424.7272799319316-5.32727993193165
3215.318.9162735049154-3.61627350491544
3311.4912.8309742628468-1.34097426284677
348.618.78023958625643-0.170239586256431
357.46.799471379573320.600528620426682
366.65.593288930822441.00671106917756
374.34.55292187223308-0.25292187223308
384.42.418656945549921.98134305445008
393.42.17957782134141.2204221786586
403.21.488202957046851.71179704295315
412.72.390063673631860.309936326368141
421.112.32159699238916-1.21159699238916
431.11.91573854097443-0.815738540974426
442.50.3218495904934572.17815040950654
452.910.6403347864110232.26966521358898
463.11.481454851272891.61854514872711
473.72.966686492216210.733313507783793
484.33.684305544312380.615694455687617
492.23.89821372937339-1.69821372937339
501.82.04948518621434-0.249485186214338
511.60.7854866038879870.814513396112013
521.30.7864599211288160.513540078871184
533.61.312488507954952.28751149204505
544.44.135367194487350.264632805512652
554.76.53495119622936-1.83495119622936
564.95.44562975022727-0.545629750227267
574.54.029975571353040.470024428646957
584.83.645876569000751.15412343099925
594.45.05287125864518-0.652871258645177
604.54.66228847874635-0.16228847874635
615.54.048369904136451.45163009586355
625.35.80698345060329-0.506983450603295
635.34.915687625567690.38431237443231
647.14.960901535439872.13909846456013
654.77.85619051299111-3.15619051299111
664.85.31485632410792-0.514856324107923
675.26.54853725159877-1.34853725159877
685.85.790485523882950.00951447611704825
697.54.841949422871992.65805057712801
707.96.778619196642181.12138080335782
718.28.26097706596958-0.060977065969583
728.88.787013519197990.012986480802013
7310.38.811589154502881.48841084549712
7410.810.8318414710479-0.0318414710479491
7512.210.89049539953511.30950460046494
7612.612.51760980492850.0823901950714827
771413.38439130319240.615608696807588
7815.115.4147044514399-0.3147044514399
7916.217.6882486975535-1.48824869755353
8016.417.7873623935722-1.38736239357218
8115.716.389951324582-0.689951324581973
8215.915.21585053654810.684149463451936
8316.716.24419216992390.455807830076079
8418.817.37691269337771.42308730662231
8521.119.17004336420181.9299566357982
8623.221.91877979290761.28122020709239
8722.423.9354756527896-1.53547565278964
8821.723.0068731953569-1.30687319535692
8921.322.5663831731781-1.26638317317807
9022.622.41744242968650.182557570313456
912424.7862770472689-0.786277047268914
9225.825.37721587044710.42278412955287
9327.325.84170263583051.45829736416947
9427.727.24573643809170.454263561908324
9527.528.4914035204803-0.991403520480318
9625.528.5573661625033-3.05736616250326
9724.125.6952354619864-1.59523546198643
9822.424.012769996179-1.61276999617899
9921.321.5532967663838-0.253296766383752
10020.720.45550820653660.244491793463386
10120.320.33813692611-0.0381369261099778
10218.920.5148603332559-1.61486033325593
10316.719.9307447465519-3.23074474655193
10414.516.7199007535203-2.21990075352031
10513.212.75062432782220.449375672177823
10612.110.92693275719361.17306724280638
10711.210.63665260314540.563347396854589
10810.110.1551906488713-0.055190648871335
10998.835918386050220.164081613949776
1109.37.726536355260881.57346364473912
1119.87.788607633176282.01139236682372
1129.78.668304391047611.03169560895239
1138.99.23028052289784-0.330280522897844
1148.68.94357320055438-0.343573200554378
1158.39.55490108957633-1.25490108957633
1168.18.70649301044537-0.606493010445371
1177.47.146947298024620.253052701975385
11875.881231739924821.11876826007518
1196.96.176986707456870.723013292543135
12076.505981052953840.49401894704616
1215.96.50912552922007-0.609125529220068
1225.65.451150432709980.148849567290024
12344.65566305779743-0.655663057797434
1243.22.98335545550110.2166445444989
1252.82.55198128409090.248018715909097
1262.82.757399451759770.042600548240225
1272.73.68212527019111-0.98212527019111
1281.93.19775891645608-1.29775891645608
1291.81.007936522087780.792063477912219
1301.50.3439232498498361.15607675015016
1311.10.6917490856702090.408250914329791
1320.40.705798648085017-0.305798648085017
1330.3-0.2505626150467080.550562615046708
134-1-0.124421872021783-0.875578127978217
1350.7-2.044491404467372.74449140446737
136-0.3-0.0520236893408548-0.247976310659145
137-1-0.544741736509953-0.455258263490047
138-1.3-0.755092179488607-0.544907820511394
139-1.4-0.29374420634726-1.10625579365274
140-1.4-0.78107840299034-0.61892159700966
141-1.5-1.944967743987830.444967743987825
142-1.1-2.715997717607711.61599771760771
143-1.2-1.728953526401760.528953526401763
144-1-1.368463515697320.368463515697318
145-1.2-1.241329299093820.041329299093825
146-1.3-1.37733451732770.0773345173276963
147-1.8-1.68526127589978-0.114738724100222
148-1.3-2.56332190088031.2633219008803
149-2.2-1.4198144949581-0.780185505041901
150-2.68-1.74464477043211-0.935355229567894
151-1.4-1.556553550424290.156553550424286
152-1.7-0.498806068844684-1.20119393115532
153-0.8-1.886291295858251.08629129585825
154-0.6-1.631095398650331.03109539865033
155-0.9-1.013887464706070.113887464706069
156-1-0.867940537365736-0.132059462634264
157-0.2-1.129072003575720.929072003575724
1580.7-0.1917405684707970.891740568470797
159-0.20.62353422696251-0.82353422696251
160-0.3-0.5511643742905920.251164374290592
1610.1-0.3964052429959650.496405242995965
1620.50.760649035057251-0.260649035057251
1630.52.07153570703528-1.57153570703528
1640.31.56115568808543-1.26115568808543
16500.404512066290722-0.404512066290722
1660-0.8508805566742280.850880556674228
1671.3-0.6180104213512731.91801042135127
1680.41.33179890862214-0.931798908622138
1691.20.417236026253330.78276397374667
17001.20576195729568-1.20576195729568
1710.8-0.4051862520435571.20518625204356
1721.60.3593422516315951.2406577483684
1731.71.592102257887720.107897742112276
1741.42.41187123926787-1.01187123926787
1751.52.88535210035856-1.38535210035856
17612.55433027969098-1.55433027969098
177-0.11.12237113450947-1.22237113450947
1780.2-1.002079331429271.20207933142927
179-0.3-0.5079403424810630.207940342481063
180-0.3-0.7720336326868920.472033632686892
181-1-0.452003139850663-0.547996860149337
1820-1.451723011615751.45172301161575
183-0.8-0.395443290789622-0.404556709210378
184-1.3-1.361555014905290.0615550149052879
185-1.1-1.736915264142530.636915264142525
186-0.8-0.8506166227485240.0506166227485241
187-0.90.413111706735613-1.31311170673561
188-0.7-0.0209666506871071-0.679033349312893
189-0.7-0.630179125452814-0.069820874547186
190-0.8-1.335485038905660.535485038905664
191-0.7-1.465044820139990.765044820139995
192-0.4-1.034868350394720.634868350394725
1930.4-0.4513390981386550.851339098138655
1940.20.406479439271698-0.206479439271698
1950.9-0.06734714895047720.967347148950477
19610.64226060760580.3577393923942
1970.71.00005392062575-0.300053920625749
1980.31.23702715184622-0.937027151846215
1990.51.58626219478125-1.08626219478125
2000.91.54532252870981-0.645322528709806
2011.11.15364272346646-0.0536427234664612
2021.80.6519728559656231.14802714403438
20331.35416969531131.6458303046887
2043.22.98480375829090.2151962417091
2053.23.51640545507731-0.316405455077315
2062.13.34432339372532-1.24432339372532
20731.949053114341271.05094688565873
2083.82.665679233408061.13432076659194
2094.43.798700827830220.601299172169782
21055.07681970255253-0.076819702552525
2115.36.60546252216491-1.30546252216491
2125.36.74723328053722-1.44723328053722
2135.25.87560162578811-0.675601625788107
2144.35.00204046045991-0.70204046045991
2152.83.83665664818997-1.03665664818997
2162.42.247201495649530.152798504350465
2171.92.0460211530987-0.146021153098701
2183.91.35724171395062.5427582860494
2192.73.65808047607718-0.958080476077178
2201.82.19872706624314-0.398727066243143
2211.81.301348296344550.49865170365545
2221.61.85041229921355-0.250412299213552
2231.82.51631202089177-0.71631202089177
2241.32.67824616724542-1.37824616724542
2250.91.42001988902599-0.520019889025992
2261.20.2091315076632430.990868492336757
2271.30.3913854971465630.908614502853437
2281.60.8130302023847740.786969797615226
2291.91.403751699976230.496248300023765
2300.91.83288979826091-0.932889798260911
2310.80.4134793368800980.386520663119902
2321.20.2216203390621630.978379660937837
2331.40.8729369755599370.527063024440063
2341.51.6054906013391-0.105490601339103
23512.60713551042693-1.60713551042693
2361.31.98202806147811-0.682028061478115
2371.51.6337793700408-0.133779370040802
2381.41.155061410636010.244938589363985
2391.90.7815744910441661.11842550895583
2402.81.566966439608131.23303356039187
2412.22.80235008629653-0.602350086296525
2422.72.179352393195260.520647606804737
2433.32.513467393295870.78653260670413
24433.11073274356044-0.110732743560436
2453.42.914302826870950.485697173129054
2464.43.752564554961440.647435445038565
2475.65.65989921032425-0.0598992103242546
2486.57.10597048972792-0.605970489727925
2496.27.44814607157798-1.24814607157798
2506.56.35844216109850.141557838901502
2516.96.331175401240850.568824598759152
2526.56.90373821563039-0.403738215630388
2537.16.50796647189320.592033528106797
2548.77.290860770374341.40913922962566
2558.38.83216677973275-0.532166779732746
2568.58.28641932794670.2135806720533
2577.78.63280892784496-0.932808927844964
2587.18.13040633446195-1.03040633446195
2596.38.11783079233992-1.81783079233992
2604.97.29137056400096-2.39137056400096
2614.65.03442385502995-0.434423855029955
26244.03844842912254-0.0384484291225355
2632.43.08374353077145-0.683743530771449
2641.21.42658717401789-0.226587174017891
26510.2983469819149130.701653018085087
266-1.60.291396599997748-1.89139659999775
267-1.2-2.864842609151281.66484260915128
268-1.5-2.448560031237260.948560031237256
269-1.4-2.511658063417891.11165806341789
270-1.7-1.795684329862430.0956843298624339
271-1.8-1.30641083863787-0.493589161362129
272-1.2-1.213513874061360.0135138740613583
273-0.8-0.9709366663439920.170936666343992
274-0.5-1.150168287470760.650168287470763
2750.6-1.17142781811471.7714278181147
2761.90.2287637977199741.67123620228003
2771.51.98648836118765-0.486488361187646
2782.71.55274530633011.1472546936699
2792.42.83411763707238-0.434117637072384
2802.82.266061970137660.533938029862341
2813.12.777339453435790.322660546564209
2822.93.5060095713751-0.606009571375104
2833.34.00379974854531-0.703799748545307
2843.54.60510781811001-1.10510781811001
2853.64.30310272806617-0.703102728066167
2864.43.685324609204940.714675390795056
2875.14.153590809274190.946409190725808
2884.64.99419263594929-0.394192635949286
2894.94.553371010225660.346628989774343
2904.95.02048215478285-0.120482154782849
2915.44.813620050891530.586379949108469
2925.35.232335000288340.0676649997116554
2935.55.188652197350290.311347802649712
2946.45.732013990735880.667986009264116
2956.57.50741623666477-1.00741623666477
2966.27.84937333141775-1.64937333141775
2976.17.03197790187013-0.931977901870134
2985.56.22633153737035-0.726331537370348
2994.25.05897410361317-0.858974103613171
3004.13.516067327127550.583932672872447
3014.53.586470496081780.913529503918218
3023.24.19030095409893-0.990300954098927
3033.62.725911130782880.874088869217117
3043.42.92241997970270.477580020297298
30532.891858478514150.10814152148585
3062.22.85341111422809-0.653411114228089
3071.82.64600021126717-0.846000211267172
30822.48257451119208-0.482574511192075
3091.92.38266387736604-0.482663877366036
3101.71.665708791861720.0342912081382842
31120.9774672282738971.0225327717261
3122.51.376997527945111.12300247205489
31322.15254880126207-0.152548801262072
3143.21.635968995561111.56403100443889
3152.13.10305811591053-1.00305811591053
3162.41.644704162317070.755295837682926
3172.12.008461914497890.0915380855021142
3182.72.060317578663470.639682421336527
3192.73.41328793246281-0.713287932462814
3202.63.79390049128907-1.19390049128907
3213.13.31096405353292-0.210964053532924
3223.23.20561865458406-0.00561865458405997
32332.866523676463540.133476323536462
3242.52.61678671684923-0.116786716849234
3252.52.115042160815090.384957839184913
32622.27351209121993-0.273512091219933
3272.41.601922103546760.79807789645324
3281.81.98927994255226-0.189279942552261
3292.51.320402682702861.17959731729714
3302.32.49315551117126-0.193155511171263
3312.32.91028077351033-0.61028077351033
33223.30335028827789-1.30335028827789
3331.62.72166855291108-1.12166855291108
3341.61.567921766368020.0320782336319789
3351.41.062819947721150.337180052278854
3361.50.8071247958493380.692875204150662
3370.81.04920921519291-0.249209215192913
3381.40.4233539965392770.976646003460723
3391.41.046812177838480.353187822161516
3401.50.9349502595293350.565049740470665
3411.21.17274013193780.027259868062204
3421.41.096156014685490.303843985314506
3431.61.94581185973236-0.345811859732355
34422.5793762784916-0.579376278491596
3451.62.84656248132394-1.24656248132394
3461.31.80184057510783-0.501840575107834
3471.50.8774573946606020.622542605339398
3481.61.014077972466340.585922027533659
3491.81.174088585348530.625911414651471
3502.31.676860533476450.623139466523548
3512.32.097881956373090.202118043626909
3522.32.006169890169320.29383010983068
35322.05445655836712-0.0544565583671215
3541.92.00888154058055-0.108881540580555
3551.82.44815305882133-0.648153058821331
3561.32.75365028055713-1.45365028055713
3571.91.98659910127703-0.0865991012770317
3582.12.088745963213860.011254036786136
3592.31.821986470642570.478013529357425
3602.11.898959579561640.201040420438358
3612.51.718101312353890.781898687646106
3620.82.40503948457726-1.60503948457726
3630.90.3987801960431570.501219803956843
3641.20.3129722216346610.887027778365339
3651.50.7067686172372190.793231382762781
3661.51.403696364196280.0963036358037166
3671.41.98800417288625-0.588004172886253
3681.82.29478819863209-0.494788198632087
3691.62.67642627409759-1.07642627409759
3701.91.86381169671110.0361883032889037
3711.71.65519171729290.0448082827070977
3721.81.240444335466080.559555664533919
3731.51.423375544200310.0766244557996876
3742.91.158562766854011.74143723314599
3752.12.83522926949144-0.735229269491442
3761.81.84939322206204-0.0493932220620359
3771.81.433374309566480.366625690433521
3781.91.680781061502330.219218938497666
3792.12.34713079354966-0.247130793549655
3802.33.04991926686779-0.749919266867793
3812.53.18389906109695-0.683899061096946
3822.52.91046656323908-0.410466563239082
3832.22.30938866035028-0.109388660350278
3841.91.784437597653180.115562402346818
3851.71.443813370567290.256186629432713


Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
3861.41707914095025-0.6917685663602473.52592684826075
3870.965786941195831-2.159306346878064.09088022926973
3880.498641157115451-3.60124009991514.598522414146
389-0.0467726851101649-5.127841863912695.03429649369236
390-0.415692221338512-6.501124962946515.66974052026949
391-0.287582824075551-7.407714834067646.83254918591654
3920.348255912530003-7.840162684513368.53667450957336
3931.04636152816949-8.2453455299603410.3380685862993
3941.40320436482978-9.0272660560183211.8336747856779
3951.24804456953816-10.356629019928212.8527181590045
3960.901972379690805-11.912027712673213.7159724720548
3970.506240216773908-13.551737287359214.5642177209071