Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.447201661696798
beta0
gamma0.474929455987073


Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
1317.84816.05864362373741.78935637626262
1419.59218.52043010190311.07156989809688
1521.09220.35067960762300.74132039237702
1620.89920.31694931894370.582050681056295
1725.8925.44849335070380.441506649296159
1824.96524.57860252458590.386397475414068
1922.22523.4831084509999-1.25810845099988
2020.97720.96731359445130.00968640554871314
2122.89721.22214537110851.67485462889146
2222.78522.41889314424940.36610685575063
2322.76922.9049917384996-0.135991738499648
2419.63718.31730100706561.31969899293444
2520.20319.65366726240310.549332737596895
2620.4521.3724652931722-0.922465293172213
2723.08322.22427517194280.858724828057163
2821.73822.2012336378836-0.463233637883551
2926.76626.8284263250821-0.0624263250820825
3025.2825.7187074611296-0.438707461129585
3122.57423.8224761508690-1.24847615086896
3222.72921.64383600799381.08516399200619
3321.37822.8167967702696-1.43879677026962
3422.90222.27751554322280.624484456777235
3524.98922.74733995757322.24166004242681
3621.11619.60511640977211.51088359022795
3715.16920.8247286131131-5.65572861311307
3815.84619.3822067268321-3.53620672683214
3920.92719.53278112897061.39421887102939
4018.27319.4021461621031-1.12914616210312
4122.53823.8367696996340-1.29876969963403
4215.59622.0753670941416-6.47936709414157
4314.03417.2651459130930-3.23114591309303
4411.36614.8125269406535-3.44652694065349
4514.86113.29626678868791.56473321131210
4615.14914.64186345541850.507136544581474
4713.57715.4837833129012-1.90678331290119
4813.02610.29451079693682.73148920306324
4913.1910.17845595651423.01154404348576
5013.19613.16841253441690.0275874655831316
5115.82616.2071566133214-0.381156613321352
5214.73314.62008598371360.112914016286412
5316.30719.5656278970912-3.2586278970912
5415.70315.56765829998480.135341700015152
5514.58914.56833456757820.0206654324217919
5612.04313.5133848512927-1.47038485129271
5715.05714.19651603855040.860483961449637
5814.05314.9495096151991-0.896509615199067
5912.69814.5299655414359-1.83196554143592
6010.88810.59188471650210.296115283497945
6110.0459.46025227015580.584747729844194
6211.54910.58153290522760.967467094772395
6313.76713.9332809581206-0.166280958120614
6412.43412.5720164874451-0.138016487445114
6513.11616.5201765268627-3.40417652686269
6614.21113.34817084527320.862829154726803
6712.26612.6440735796332-0.378073579633224
6812.60211.01934645388161.58265354611840
6915.71413.67974828277752.03425171722251
7013.74214.4963712805018-0.754371280501832
7112.74513.8947969070686-1.14979690706864
7210.49110.8204898243408-0.329489824340847
7310.0579.484863358457520.572136641542476
7410.910.70098351788610.199016482113857
7511.77113.411424723346-1.640424723346
7611.99211.39834127146380.593658728536237
7711.93314.8162093273194-2.8832093273194
7814.50412.99744162818411.50655837181589
7911.72712.2554342685767-0.528434268576699
8011.47711.07823531222470.398764687775271
8113.57813.32776275692550.250237243074533
8211.55512.6144458385062-1.05944583850623
8311.84611.77262648714010.0733735128598703
8411.3979.460686845854171.93631315414583
8510.0669.375044442401650.690955557598347
8610.26910.5463415719972-0.277341571997182
8714.27912.56082737622531.71817262377473
8813.8712.63625098667761.23374901332236
8913.69515.4275507978102-1.73255079781023
9014.4215.2758500566134-0.855850056613422
9111.42412.9431023187442-1.51910231874418
929.70411.5663019766636-1.86230197666362
9312.46412.7656822246914-0.301682224691426
9414.30111.46170152654812.83929847345190
9513.46412.66081774504330.803182254956747
969.89311.1643463581869-1.27134635818687
9711.5729.317276840656782.25472315934321
9812.3810.93367650456231.44632349543769
9916.69214.24289091531542.44910908468457
10016.05214.51800984728741.53399015271255
10116.45916.6648050074222-0.205805007422200
10214.76117.4260367209542-2.6650367209542
10313.65414.1100873095826-0.456087309582628
10413.4813.11856533434510.361434665654912
10518.06815.72212974777552.34587025222454
10616.5616.42677266165290.133227338347059
10714.5315.8811669839622-1.35116698396216
10810.6512.8766198513743-2.22661985137434
10911.65111.52808548631240.122914513687613
11013.73511.97889936063641.75610063936356
11113.3615.689918168187-2.32991816818701
11217.81813.58759265107124.23040734892884
11320.61316.48346386818304.12953613181703
11416.23118.5378201226600-2.30682012266002
11513.86215.9620038206483-2.10000382064834
11612.00414.4499520443661-2.44595204436612
11717.73416.31904259977731.41495740022269
11815.03416.0264719950507-0.992471995050687
11912.60914.5877385017339-1.97873850173393
12012.3211.07269876033691.24730123966314
12110.83311.8945549349842-1.06155493498421
12211.3512.2444491387021-0.894449138702052
12313.64813.6973934286187-0.0493934286186999
12414.8914.33727163028240.552728369717578
12516.32515.56199594576840.763004054231564
12618.04514.42103111204243.62396888795764
12715.61614.55177110695761.06422889304242
12811.92614.3639441375175-2.43794413751746
12916.85517.2502598343074-0.395259834307392
13015.08315.516110045447-0.433110045447014
13112.5214.0685895256775-1.54858952567754
13212.35511.59287828548990.762121714510064


Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
13311.59159377589378.1070577759371415.0761297758502
13412.46008910204898.6429881391318616.2771900649660
13514.53489364013210.411966477640318.6578208026237
13615.354941850988910.947357817380219.7625258845975
13716.387690944298511.712750769341121.062631119256
13815.656627749563110.728815429116920.5844400700092
13913.49468814958978.3263612547763618.6630150444030
14011.91147499356376.5133390636560317.3096109234714
14116.424330134039910.805776926685722.0428833413940
14214.85700399734819.0263600560686520.6876479386276
14313.31031278805767.2750267636765619.3455988124386
14412.13378798071725.9005748428405418.3670011185939