Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.660335318562836
beta0.204922662099265
gammaFALSE


Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
326.93120.5336.398
424.7422.55858782951392.18141217048609
525.80622.09499740655993.71100259344012
624.36423.14361379216591.22038620783408
724.47722.71272803316661.76427196683342
823.90122.87972642429211.02127357570793
923.17522.69429309820630.480706901793653
1023.22722.21695264385351.01004735614654
1121.67222.225831643249-0.553831643248994
1221.8721.12708289709610.742917102903913
1321.43920.98515295970710.453847040292946
1421.08920.7137533750820.375246624917981
1523.70920.44122865960013.26777134039994
1621.66922.5209273818803-0.85192738188029
1721.75221.7649627065185-0.0129627065184863
1820.76121.5612419540641-0.800241954064106
1923.47920.72936603113682.7496339688632
2023.82422.61367262238781.21032737761217
2123.10523.6452993876586-0.540299387658632
2223.1123.4478134152256-0.337813415225558
2321.75923.3383239572017-1.57932395720174
2422.07322.1953107997344-0.122310799734429
2521.93721.9978640771515-0.0608640771515283
2620.03521.8327568105106-1.79775681051055
2723.5920.27744966221113.31255033778892
2821.67222.5449054106038-0.872905410603835
2922.22221.93043737657220.291562623427755
3022.12322.1243622880064-0.00136228800644034
3123.9522.1246741930931.82532580690701
3223.50423.5782116009096-0.0742116009095852
3322.23823.7673752283907-1.52937522839075
3423.14222.78869142381950.353308576180453
3521.05923.1010191228925-2.04201912289253
3621.57321.55530607015730.0176939298426753
3721.54821.37208859363150.175911406368467
382021.3171516267447-1.31715162674471
3922.42420.09805851529612.32594148470388
4020.61521.5993694395753-0.98436943957526
4121.76120.78156256480910.97943743519087
4222.87421.39306192125851.48093807874148
4324.10422.53611695716711.56788304283285
4423.74823.9487471059544-0.20074710595442
4523.26224.1663236711128-0.904323671112795
4622.90723.796932807655-0.889932807655011
4721.51923.316621104406-1.797621104406
4822.02521.99368085873380.0313191412661631
4922.60421.88269248608510.721307513914937
5020.89422.32493345841-1.43093345841001
5124.67721.15234311919043.52465688080961
5223.67323.7290524667336-0.056052466733604
5325.3223.93370807731371.38629192268633
5423.58325.2783844245591-1.69538442455908
5524.67124.35870556695060.312294433049431
5624.45424.8070269228112-0.353026922811182
5724.12224.7682423080814-0.646242308081412
5824.25224.4483892142491-0.196389214249063
5922.08424.399015075287-2.31501507528695
6022.99122.63737500431430.35362499568572
6123.28722.68578393568710.601216064312904
6223.04922.9790411520410.069958847958965
6325.07622.93095713359182.14504286640821
6424.03724.5433865871555-0.506386587155465
6524.4324.33646047407240.0935395259275573
6624.66724.53834431281470.128655687185283
6726.45124.78082598108471.6701740189153
6825.61826.2672307070104-0.649230707010435
6925.01426.134198186919-1.12019818691905
7025.1125.5385865958361-0.428586595836066
7122.96425.3416752249488-2.3776752249488
7223.98123.53597031856330.445029681436662
7323.79823.6544175359220.143582464077962
7422.2723.5932377536632-1.32323775366318
7524.77522.3844073241692.39059267583096
7622.64623.9514397284824-1.30543972848235
7723.98822.90120233351831.08679766648166
7824.73723.57770671030151.15929328969851
7926.27624.4589553759191.81704462408102
8025.81626.0204187257454-0.204418725745406
8125.2126.2193769645512-1.00937696455125
8225.19925.7502063079399-0.55120630793991
8323.16225.5089939637899-2.34699396378987
8424.70723.76436984797150.942630152028546
8524.36424.31955523774840.0444447622516186
8622.64424.2876512537704-1.64365125377043
8725.56522.91862278910292.64637721089707
8824.06224.7405532390089-0.67855323900891
8925.43124.27509443688181.1559055631182
9024.63525.1774080213587-0.542408021358675
9127.00924.88486777363422.12413222636577
9226.60626.64057085638-0.0345708563799612
9326.26826.966128003516-0.698128003516029
9426.46226.7590458747677-0.297045874767711
9525.24626.7766168852162-1.53061688521619
9625.1825.7724978768615-0.592497876861504
9724.65725.3076765497571-0.650676549757069
9823.30424.7163897546322-1.41238975463215
9926.98223.43099553506573.55100446493428
10026.19925.90361947380660.295380526193387
10127.2126.26641014680730.943589853192744
10226.12227.1849207138986-1.06292071389856
10326.70626.63462953062690.0713704693730755
10426.87826.84300856292330.0349914370767195
10526.15227.0321001951219-0.880100195121909
10626.37926.4978313938928-0.118831393892794
10724.71226.4501752815295-1.73817528152945
10825.68825.09800337575210.589996624247934
10924.9925.3630425763476-0.373042576347583
11024.23924.9416737268806-0.70267372688059
11126.72124.20755361417222.51344638582782
11223.47525.937264912639-2.46226491263898
11324.76724.0481503515110.718849648488966
11426.21924.35691114798051.86208885201953
11528.36125.67256669542392.68843330457612
11628.59927.89767920456560.70132079543442
11727.91428.9055322388762-0.991532238876164
11827.78428.661362791854-0.877362791854043
11925.69328.3738607730715-2.68086077307152
12026.88126.53267750328710.348322496712896
12126.21726.7389051220778-0.521905122077811
12224.21826.2998677232028-2.08186772320277
12327.91424.54901843078853.36498156921155
12426.97526.85025757115280.124742428847195
12528.52727.0287322215361.49826777846395
12627.13928.3169362780652-1.17793627806516
12728.98227.6785526822311.30344731776899
12828.16928.855093769407-0.686093769407005
12928.05628.6250299977794-0.56902999777936
13029.13628.39526775484920.740732245150763
13126.29129.1306219423596-2.83962194235958
13226.98727.1174907781151-0.130490778115142
13326.58926.8756368960123-0.286636896012318
13424.84826.4918871801118-1.64388718011182
13527.54324.98945018030292.55354981969712
13626.89626.60426949420840.29173050579158
13728.87826.76500592364242.1129940763576
13827.3928.4143124511391-1.02431245113907
13928.06527.85333709774080.211662902259246
14028.14128.13716165411110.0038383458888589
14129.04828.28427171187310.763728288126945
14228.48429.0365098702151-0.552509870215065
14326.63428.8448251359239-2.2108251359239
14427.73527.25893255320020.476067446799821
14527.13227.5117103783438-0.379710378343777
14624.92427.1480063565142-2.2240063565142
14728.96325.26550120116633.69749879883373
14826.58927.7935119662539-1.20451196625391
14927.93126.92156013678251.00943986321746
15028.00927.64815394557450.360846054425483
15129.22927.99528720282361.23371279717644
15228.75929.0857483415485-0.326748341548516
15328.40529.1015670524301-0.696567052430147
15427.94528.7789235755717-0.833923575571667
15525.91228.2527341389109-2.3407341389109
15626.61926.41480177594790.204198224052067
15726.07626.2850097637772-0.209009763777161
15825.28625.854079208805-0.568079208805045
15927.6625.10917126178182.55082873821817
16025.95126.7689605924133-0.817960592413257
16126.39826.09353482460310.304465175396924
16225.56526.2004859522873-0.6354859522873
16328.86525.60076167339443.26423832660561
1643028.01787219762551.98212780237454
16529.26129.856576778957-0.595576778957042
16629.01229.9125399215708-0.90053992157075
16726.99229.6452661651048-2.65326616510479
16827.89727.86157156730620.0354284326937844


Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
16927.858111066275124.870079915581730.8461422169685
17027.83125591985524.012809677390831.6497021623193
17127.804400773434923.080125977566832.528675569303
17227.777545627014822.079298255849533.4757929981801
17327.750690480594621.015614014839934.4857669463494
17427.723835334174519.893162370679635.5545082976695
17527.696980187754418.715246150690336.6787142248185
17627.670125041334317.484618290159937.8556317925087
17727.643269894914216.203627659126239.0829121307021
17827.61641474849414.874314550685640.3585149463025
17927.589559602073913.498476332596741.6806428715512
18027.562704455653812.077714424126543.0476944871811