Estimated Parameters of Exponential Smoothing
ParameterValue
alpha1
beta0.267907409590564
gammaFALSE


Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
338.885938.40110.484799999999993
439.906837.82538151216952.08141848783049
541.4739.40390894751812.06609105248192
641.561341.52063004936680.0406699506332515
741.600541.6228258304891-0.0223258304890877
841.411341.6560445750758-0.244744575075792
941.8441.40127568995590.438724310044108
1042.289241.94751318338420.341686816615777
1143.152142.4882536133150.663846386684995
1243.599843.52900297913780.0707970208621731
1343.11643.9956700256038-0.879670025603751
1442.418543.2761999077498-0.857699907749776
1542.368742.34891574725850.0197842527415233
1642.297542.3044160951611-0.006916095161138
1742.852842.23136322202200.621436777977962
1843.53542.95315073943440.581849260565576
1944.726543.79123246760470.93526753239528
2045.729345.23329756948290.496002430517095
2145.758546.3689802957934-0.610480295793366
2246.168546.2346281011413-0.0661281011412811
2346.507546.6269118928634-0.119411892863383
2446.52746.933920561972-0.406920561972044
2546.60146.844403528305-0.243403528304981
2646.460746.8531939195516-0.392493919551583
2746.713546.60774189028450.105758109715524
2846.411346.8888752715016-0.477575271501564
2945.5546.4587293176291-0.90872931762906
3044.608145.3539740001241-0.745874000124054
3144.439544.21224882886990.227251171130128
3244.984744.10453110145380.880168898546223
3345.755844.88553487106550.870265128934541
3445.394245.8897853474153-0.495585347415322
3545.69745.39541436075820.301585639241765
3645.566445.7790113881372-0.212611388137219
3746.020545.59145122189190.429048778108076
3845.919546.1604965686228-0.240996568622847
3945.800545.9949318022029-0.194431802202885
4045.53545.8238420817327-0.288842081732689
4145.497745.48095914783490.0167408521650714
4245.578245.44814414617280.13005585382718
4345.769745.56348707307380.206212926926248
4445.244545.8102330441506-0.565733044150647
4545.061545.1334689697725-0.0719689697724633
4645.286544.93118794950980.35531205049017
4744.79145.2513786805530-0.460378680552957
4844.762544.63253982081530.129960179184714
4944.764444.63885711577060.125542884229404
5044.997344.6743909846770.322909015322978
5144.726544.9938007025056-0.267300702505644
5245.146544.65138886371560.495111136284386
5344.746545.204032805697-0.457532805697014
5445.179544.681456376920.49804362307998
5545.651545.24788595384250.403614046157529
5645.49245.8280171474229-0.336017147422908
5745.277545.5784956638788-0.300995663878815
5845.211545.2833566952711-0.0718566952710589
5945.41145.19810575417930.212894245820749
6045.400545.4546417000938-0.0541417000938225
6144.769245.4296367374709-0.66043673747086
6244.891344.62140084193660.26989915806341
6345.03244.8158088262240.216191173775961
6444.87945.0144280435667-0.135428043566698
6544.83344.82514586722880.00785413277117186
6644.825744.78125004759410.0444499524058699
6744.781544.7858585191996-0.00435851919960584
6844.47944.7404908396112-0.261490839611199
6944.631744.36793550613930.263764493860705
7044.504344.5912999684315-0.0869999684314848
7144.321744.4405920322545-0.118892032254543
7244.100544.2261399758723-0.125639975872275
7344.04743.97128009539530.0757199046046892
7443.683543.9380660188924-0.254566018892390
7543.786443.50636589620120.280034103798847
7644.180743.68428910754690.496410892453085
7743.959544.2115812638366-0.252081263836565
7843.93743.92284682543580.0141531745642069
7943.99143.90413856577080.0868614342292275
8043.86543.9814093876084-0.116409387608442
8143.67143.8242224501222-0.15322245012225
8243.9343.58917302041890.340826979581124
8343.86343.939483093637-0.0764830936370302
8443.709543.8519927061433-0.142492706143258
8543.943543.66031785435490.283182145645135
8643.73643.970184449437-0.234184449436960
8743.629543.6999447002219-0.0704447002219055
8843.59843.57457204306610.0234279569339293
8943.872643.54934856632020.323251433679758
9043.893543.9105500205638-0.0170500205638149
9143.595743.9268821937211-0.331182193721105
9243.715543.54035603009880.175143969901235
9343.52843.7070783973804-0.179078397380408
9443.341543.4716019678246-0.130101967824586
9543.337443.25024668664210.0871533133579234
9643.33243.2694957050610.062504294938968
9743.386943.28084106880640.10605893119358
9843.501643.36415504232640.137444957673573
9943.487543.5156775648980-0.0281775648980513
10043.602343.49402858647760.108271413522367
10143.388643.6378353004071-0.249235300407122
10243.310543.3573633166965-0.0468633166965233
10343.445543.26670828691550.178791713084472
10443.518543.44960791162430.0688920883757476
10543.575543.54106461256230.0344353874377106
10643.621743.6072901080090.0144098919910292
10743.64443.6573506248448-0.0133506248447617
10843.578943.6760738935262-0.0971738935261897
10943.521543.5849402874318-0.063440287431753
11043.503343.5105441643622-0.00724416436223407
11143.63243.49040339905330.141596600946691
11243.26343.6570381776198-0.394038177619755
11343.371743.18247243017390.189227569826137
11443.274543.3418678982291-0.0673678982290937
11543.264743.2266195391250.0380804608750083
11643.32443.2270215767540.0969784232459787
11743.445543.3123028149120.133197185087973
11843.409843.4694873277337-0.0596873277337124
11943.4143.4177966503752-0.00779665037518384
12043.9343.41590786996970.51409213003032
12143.810444.073636960817-0.263236960817004
12243.5443.883513828536-0.343513828536032
12343.85843.52108392857440.336916071425598
12443.837543.9293462405195-0.0918462405194589
12543.88143.8842399521413-0.00323995214125716
12643.88743.9268719449559-0.0398719449558982
12743.800943.9221899554674-0.121289955467432
12843.787743.8035954776888-0.0158954776887938
12943.81143.7861369614370.0248630385630122
13044.062543.81609795369300.246402046307047
13144.12544.1336108876369-0.008610887636884
13244.5244.19380396703580.326196032964191
13345.400544.6761943012460.72430569875403
13445.8945.75074116475080.139258835249159
13545.18946.2775496385650-1.08854963856504
13644.903545.2849191246863-0.381419124686339
13744.935144.89723411502330.0378658849766751
13844.80144.9389786661793-0.137978666179272
13943.9844.7679131591444-0.78791315914443
14044.1143.73582538569570.37417461430428
14144.266143.96606953734850.300030462651470
14244.36144.20254992139580.158450078604247
14344.09944.339899871504-0.240899871504034
14443.843544.0133610109587-0.169861010958684
14543.891443.71235398752230.179046012477684
14644.21743.80822174092270.408778259077273
14744.50644.24333646540910.262663534590942
14844.5444.6027059725552-0.0627059725552215
14944.446544.6199065778821-0.173406577882091
15044.84244.47994967079570.362050329204259
15144.894644.9724456366343-0.0778456366342652
15244.95145.0041902137756-0.0531902137756433
15345.44545.04634016138740.398659838612552
15445.003545.647144086058-0.643644086057925
15545.76945.03320706626390.735792933736136
15646.0945.99583144513610.094168554863856
15745.41246.3420598987346-0.930059898734619
15845.1245.4148899605006-0.294889960500562
15945.4845.04388675506860.436113244931406
16045.10545.5207247248063-0.415724724806303
16145.05645.03434899068070.0216510093193065
16245.2244.99114945650240.228850543497551
16345.3945.21646021279430.173539787205726
16445.04145.4329528076455-0.39195280764546
16544.939944.9789457462674-0.039045746267405
16644.931544.86738510152940.0641148984706206
16745.193544.87616195789480.317338042105192
16845.346645.22317917071980.123420829280249
16945.464545.40934452538170.0551554746182603
17045.568545.54202108571150.0264789142885391
17145.392145.6531149830473-0.261014983047275
17245.3445.4067871350748-0.0667871350747475
17345.130845.3367943667229-0.205994366722905
17445.100545.07240694954390.0280930504560786
17545.3745.04963328591910.320366714080897
17645.245.4049619024076-0.204961902407554
17744.961445.1800510900688-0.218651090068803
17844.801544.8828728429243-0.0813728429243099
17944.915244.70117245536540.214027544634561
18045.09544.87221202042950.222787979570484
18144.927145.1116985709242-0.184598570924152
18244.602644.8943432459738-0.291743245973748
18344.544.49168306867940.00831693132062128
18444.5444.39131123620520.148688763794773
18544.553244.47114605774870.0820539422512923
18644.40744.5063289168639-0.0993289168639464
18744.25944.3335179640495-0.074517964049484
18844.136544.165554049333-0.029054049333034
18944.11244.03527025423810.0767297457619023
19043.881444.0313267216637-0.149926721663718
19143.9843.76056024203440.219439757965617
19243.729443.9179497791521-0.188549779152126
19343.911943.61683589624060.295064103759394
19443.95543.87838575594200.0766142440580424
19543.943.9420112796053-0.0420112796052834
19643.706543.8757561465126-0.169256146512645
19743.693943.63691117074320.0569888292568379
19843.658743.63957890036500.0191210996350435
19943.588543.6095015846367-0.0210015846367071
20043.888543.53367510449940.354824895500606
20143.821643.9287353231112-0.107135323111201
20243.75143.8331329762208-0.0821329762208265
20343.69943.7405289433195-0.0415289433195412
20443.742543.67740303169180.0650969683082323
20543.63943.7383429918434-0.0993429918434288
20643.58943.6082282682377-0.0192282682376828
20743.60643.55307687270320.0529231272967934
20843.532543.5842553706447-0.0517553706447273
20943.38543.4968897233629-0.1118897233629
21043.374543.31941363741690.0550863625830615
21143.23643.3236716821203-0.0876716821203303
21243.195743.1616837888690.0340162111309752
21343.0143.1304969838772-0.120496983877217
21443.140142.91251494906320.227585050936810
21543.048743.1035866705212-0.0548866705212063
21643.197242.99748212480080.199717875199184
21743.246143.19948802339440.0466119766056323
21843.086643.2608757173027-0.174275717302677
21943.086543.05468596132560.0318140386744261
22043.019443.0631091780155-0.0437091780154617
22143.0842.9842991653580.0957008346419954
22243.00743.0705381280626-0.0635381280625964
22342.927842.9805157927631-0.0527157927631094
22442.954542.88719284127940.067307158720574
22542.799542.9319249278192-0.132424927819166
22642.904842.74144730844190.163352691558089
22742.946842.89051070488690.0562892951131175
22843.0842.94759102412830.132408975871677
22943.127443.11626436986060.0111356301393641
23043.162543.1666476876854-0.00414768768543894
23143.4543.20063649142180.249363508578163
23243.83143.55494282305140.276057176948569
23343.776944.0099005862266-0.233000586226609
23443.9843.89337800273750.0866219972624478
23543.9244.1196846776377-0.199684677637691
23644.1144.00618767291690.103812327083141
23744.0344.2239997645493-0.193999764549268
23844.158244.09202579016770.0661742098323046
23944.1444.2379543513056-0.0979543513055674
24045.0744.19351165478920.87648834521083
24144.873745.3583293768909-0.484629376890922
24244.850545.0321935759166-0.18169357591659
24344.37344.9603165206535-0.587316520653523
24444.07544.3254700729955-0.250470072995491
24543.972543.96036728455930.0121327154406785
24644.09443.86111772892430.232882271075674
24744.19144.04500861490780.145991385092223
24843.968544.1811207887104-0.212620788710382
24943.7943.9016581039819-0.111658103981874
25043.604143.6932440705843-0.0891440705842967
25143.170743.4834617135537-0.312761713553705
25242.7142.9662705330564-0.256270533056416
25342.75542.43691375839090.318086241609116
25443.331642.56713141940680.764468580593217
25543.543.34853821654690.151461783453115
25643.15443.5575159506038-0.403515950603769
25743.1643.10341103754910.0565889624509452
25843.143.1245716398907-0.0245716398906879
25942.8543.0579887154982-0.207988715498189
26042.617542.752266997505-0.134766997505004
26142.542.48366192030510.0163380796948616
26242.628542.37053901291390.257960987086129
26342.697442.56814867273950.129251327260455
26443.0442.6716760610120.368323938987963
26542.67343.1129527733965-0.439952773396492
26642.501542.6280861655337-0.126586165533659
26742.53842.42267279383550.115327206164466
26842.373542.4900698068944-0.116569806894368
26942.01442.2943398918928-0.280339891892822
27041.861841.85973475765090.0020652423490759
27142.182441.70808805137880.474311948621157
27242.60542.15575973687180.449240263128210
27342.734542.69871453205020.0357854679497507
27442.61542.8378017240696-0.222801724069647
27542.46542.6586114913218-0.193611491321839
27642.3442.4567415382148-0.116741538214839
27742.25142.3004656151201-0.0494656151200914
27842.047542.1982134103095-0.150713410309457
27941.8641.9543361709629-0.0943361709628903
28041.68541.7415628117695-0.0565628117695312
28141.73541.55140921538920.1835907846108
28241.70641.6505945469190.055405453081029
28341.76441.63643807833110.127561921668892
28441.5841.7286128623278-0.148612862327816
28541.37341.5047983753497-0.131798375349732
28641.08841.2624886140215-0.174488614021534
28741.13740.9307418214360.206258178564021
28841.158741.03499991576190.123700084238067
28941.18541.08984008489630.0951599151037072
29040.81941.1416341312486-0.322634131248584
29140.63340.6891980569003-0.0561980569002714
29240.85840.48814218105210.369857818947899
29340.79440.8122298312432-0.0182298312432465
29440.6940.7433459243776-0.0533459243775951
29540.59540.6250541559654-0.0300541559653809
29640.730540.52200242489330.208497575106733
29740.547140.713360470146-0.166260470146021
29840.514540.48541805827190.0290819417281014
29940.740.46060932594610.239390674053872
30040.740.7102438613121-0.0102438613120484
30140.52240.7074994549637-0.185499454963733
30240.616540.47980277650390.136697223496071
30340.398540.610924975549-0.212424975548991
30440.281540.3360147506173-0.0545147506173151
30540.24540.2044098449950.0405901550050345
30640.305540.17878424827720.126715751722770
30740.269640.2732323370756-0.00363233707560795
30840.25140.23635920705890.0146407929410799
30940.12740.2216815839701-0.0946815839701145
31039.9540.0723156860728-0.122315686072753
31139.67539.8625464074647-0.187546407464716
31239.95439.53730133526280.416698664737183
31339.882839.9279379951124-0.0451379951124053
31439.6239.8446451917677-0.224645191767735
31539.541539.52166108036430.0198389196357383
31639.52539.44847607393290.076523926067054
31739.814539.45247740073730.36202259926273
31839.667539.838965937519-0.171465937518995
31939.69539.64602894236530.0489710576347449
32039.598539.6866486515611-0.0881486515610916
32139.273539.5665329746625-0.293032974662466
32239.143539.163027269496-0.0195272694960167
32339.174239.0277957693090.146404230691026
32439.202539.09771854750650.104781452493498
32539.394639.15409027501720.240509724982829
32639.502539.41062461241870.0918753875813394
32739.484539.5431387095107-0.0586387095107028
32839.3339.5094289647440-0.179428964743956
32939.29539.3068586155939-0.0118586155938871
33039.267539.2686816046088-0.0011816046088029
33139.253539.24086504397890.0126349560211096
33238.984539.2302500423168-0.245750042316807
33338.928538.89541178507290.0330882149270693
33438.859238.8482763630220.0109236369779779
33538.7738.7819028863081-0.0119028863080999
33638.7938.68951401487060.100485985129353
33738.820538.73643495484680.0840650451531957
33838.757738.7894566033309-0.0317566033309191
33938.83938.71814877399510.120851226004866
34038.7838.8318257128999-0.0518257128999338
34138.5438.7589412204067-0.218941220406734
34238.51138.46028524519500.0507147548050355
34338.61538.44487210378280.170127896217195
34438.89838.59445062775740.303549372242557
34538.869138.9587737537578-0.0896737537577934
34638.38438.9058494906803-0.521849490680282
34738.027738.280942145436-0.253242145435969
34837.7237.8567966982531-0.136796698253065
34937.732537.51244784918350.220052150816464
35037.62637.58390145088360.0420985491163819
35137.60337.48867996412490.114320035875103
35237.7837.49630714880050.283692851199497
35338.55937.74931056568470.809689434315274
35439.045938.7452323646050.30066763539503
35538.4539.3126834519514-0.862683451951376
35638.50538.48566416304240.0193358369575591
35738.288538.545844377034-0.257344377034009
35837.79538.2603999116101-0.46539991161012
35937.9237.6422158268670.277784173133021
36038.03437.84163626511630.192363734883692
36138.02938.00717193502820.0218280649718423
36238.06338.00801983537110.0549801646288586
36337.982838.0567494288557-0.0739494288557268
36437.74537.9567378289303-0.211737828930282
36537.96937.66221169566920.306788304330766
36638.00737.96840255557520.0385974444248234
36738.061538.01674309692780.0447569030721553
36838.091238.08323380289120.00796619710879298
36938.09138.1150680061229-0.0240680061229099
37038.43138.10842000894850.322579991051484
37138.4838.5348415787369-0.0548415787368626
37238.3538.5691491134396-0.219149113439606
37338.21438.3804374421439-0.166437442143938
37438.38438.19984761816030.184152381839723
37538.137538.4191834057489-0.281683405748886
37638.007538.0972183341901-0.08971833419006
37738.052437.94318212768440.109217872315583
37838.23538.01734240493750.217657595062526
37938.3138.25825448740840.0517455125916157
38038.261538.3471174936447-0.0856174936447474
38138.1338.2756799327067-0.145679932706742
38238.28238.10515119930600.176848800694039
38338.58138.30453030338910.276469696610917
38439.080138.67759858363840.402501416361588
38539.038739.2845316954524-0.245831695452381
38639.101539.1772715627285-0.0757715627284696
38739.150339.2197717996373-0.0694717996372631
38839.1439.2499597897569-0.10995978975685
38939.027539.210200747324-0.182700747323963
39038.766539.0487538633781-0.282253863378145
39138.69138.7121359619936-0.0211359619935720
39238.84938.63097348116670.218026518833319
39339.164438.84738440104940.317015598950647
39439.490739.2477152289640.242984771035971
39539.509539.6391126495422-0.129612649542224
39639.279539.6231884603532-0.343688460353206
39739.043739.3011117752338-0.257411775233805
39839.135538.99634925333280.139150746667191
39939.14339.1254287694150.0175712305849913
40039.18539.13763623228440.0473637677156518
40139.35539.19232533660150.162674663398491
40239.29739.4059070842786-0.108907084278606
40339.451439.31873006944350.132669930556538
40439.417339.5086733268694-0.0913733268694301
40539.430539.4500937355622-0.0195937355621609
40639.38439.4580444286235-0.0740444286235089
40739.326139.3917073775564-0.0656073775563684
40839.30139.3162306749852-0.0152306749852045
40939.3539.28705026430360.0629497356963924
41039.6439.35291496492840.287085035071563
41139.472339.7198271730067-0.247527173006681
41239.368539.4858128092832-0.117312809283185
41339.190639.3505838384363-0.159983838436325
41439.118339.1298229827045-0.0115229827045056
41539.132539.05443589025740.0780641097426198
41639.114439.08954984368050.0248501563194807
41739.161439.0781073846880.0832926153120042
41839.090839.1474220934943-0.056622093494255
41938.919939.0616526151006-0.141752615100621
42038.91338.85277603918630.0602239608136799
42138.965538.86201048452320.103489515476802
42239.02938.94223609253440.0867639074656381
42339.08939.02898078622940.060019213770552
42439.0739.1050603783164-0.0350603783163734
42539.004639.0766674431824-0.0720674431823696
42639.103838.99196004116360.111839958836427
42739.357239.12112279482420.236077205175846
42839.38839.4377696273262-0.0497696273261923
42939.38239.4552359753929-0.0732359753929472
43039.439839.42961551493660.0101844850634194
43139.253739.4901440139479-0.236444013947931
43239.230139.2406989106580-0.0105989106579543
43339.276339.21425938395910.0620406160409033
43439.28239.2770805246920.00491947530797887
43539.332539.28409848857830.0484015114216803
43639.55739.34756561212360.209434387876428
43740.139.62817463645870.471825363541264
43840.587540.29758014738420.289919852615796
43940.48540.8627518240874-0.377751824087376
44040.5540.659049311428-0.109049311428016
44140.795540.69483419288570.100665807114297
44241.45640.96730330850400.488696691495967
44341.355741.7587287731982-0.403028773198201
44441.37441.5504543785802-0.176454378580203
44541.223541.5214809431039-0.297980943103873
44641.1541.2911496405296-0.141149640529562
44741.372541.17983460597060.192665394029355
44841.692341.45395109260280.238348907397203
44941.841.8376065309623-0.0376065309623286
45041.804541.9352314626685-0.130731462668514
45141.6441.904707535153-0.264707535153008
45241.3641.6692904251111-0.309290425111065
45341.574541.30642922850840.268070771491608
45441.59341.59274737448570.000252625514349347
45541.57541.6113150547328-0.0363150547328033
45641.6841.58358598249020.096414017509801
45742.005541.71441601216950.291083987830532
45842.318842.11789956932240.200900430677571
45942.56542.48502228329090.0799777167091023
46042.357542.7526489061994-0.395148906199388
46142.2942.439285586337-0.149285586336973
46242.69542.33179087161220.36320912838778
46343.002842.83409728833820.168702711661759
46442.450743.1870939948104-0.736393994810449
46542.470542.43770858722270.0327914127772715
46642.287542.4662936496767-0.178793649676706
46742.317242.23539350614060.0818064938594247
46842.5542.28701007199810.262989928001858
46942.752342.59026702235750.162032977642475
47042.899342.8359768576660.0633231423340277
47143.155542.99994159669580.155558403304191
47243.188543.2978168455651-0.109316845565090
47343.4343.30153005264510.128469947354873
47443.3143.5774481034512-0.267448103451208
47542.81543.3857967748557-0.570796774855694
47642.701742.7378760895014-0.0361760895014456
47742.2842.614884247074-0.334884247074001
47841.92242.1034662759277-0.181466275927725
47942.1741.69685011601590.473149883984128
48042.196242.07161047578210.124589524217853
48142.321542.13118893247750.190311067522536
48242.317342.30747467759380.00982532240615797
48342.39142.30590695426810.0850930457319237
48442.46342.40240401172430.0605959882757219
48542.412542.4906381259748-0.0781381259748102
48642.30442.4192043430546-0.115204343054636
48741.81342.2798402459333-0.466840245933284
48841.65141.6637702849527-0.0127702849526798
48941.53941.49834903099130.0406509690087233
49041.157541.3972397267957-0.239739726795747
49140.954540.95151167761400.00298832238605229


Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
49240.749312271323440.161593241326341.3370313013205
49340.544124542646839.595074004232241.4931750810615
49440.338936813970339.029191227554241.6486824003864
49540.133749085293738.448754399652941.8187437709344
49639.928561356617137.849715187375242.007407525859