Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.433012478246557
beta0.0200180352765457
gamma0.414206205773625


Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
1392.890.09065170940182.70934829059824
1490.688.85480063563911.7451993643609
15102.2101.2999218704310.900078129568996
1691.891.29523032865010.504769671349848
179594.64874066502940.351259334970621
18102102.017990513546-0.0179905135457545
1988.984.67302796056324.22697203943676
2089.689.894493472681-0.294493472680969
2197.9102.676388644608-4.77638864460819
22108.6104.9344985953443.66550140465627
23100.8103.57149172674-2.77149172674027
2495.198.8429963892033-3.74299638920328
2510198.81433933202952.18566066797047
26100.997.14242362556463.75757637443544
27102.5110.29502488563-7.79502488562959
28105.496.3916096592669.00839034073398
2998.4103.424154391118-5.02415439111802
30105.3108.365382781666-3.06538278166573
3196.590.65769276489755.84230723510248
3288.195.4906583681818-7.39065836818178
33107.9104.0596484956133.84035150438746
34107.1112.018575497805-4.91857549780549
3592.5105.339507978894-12.8395079788937
3695.795.8486861772715-0.148686177271514
3785.298.6253174456046-13.4253174456046
3885.590.28406407354-4.78406407353995
3994.796.6721101163778-1.97211011637776
4086.288.9340480813099-2.73404808130989
4188.887.18232724753191.61767275246808
4293.495.1130348623733-1.71303486237326
4383.479.74808754546263.65191245453738
4482.980.17103014145322.72896985854683
4596.795.49346689354831.2065331064517
4696.299.9659772181531-3.76597721815313
4792.891.64685228472781.15314771527223
4892.891.03783265905871.76216734094126
4990.291.3828085282299-1.18280852822991
5095.990.33716398684035.56283601315975
51107.5101.9206746129995.57932538700099
529897.39373477833310.606265221666888
539598.2595632087737-3.25956320877374
54108.5103.4030261450675.09697385493261
5591.892.4127588772679-0.612758877267936
5691.790.90123107077870.798768929221339
57108.3105.1425300863513.15746991364861
58105.1109.421145663265-4.32114566326504
59104.8102.1411869717192.65881302828068
60103.2102.4645243621930.735475637806545
6198.6101.801760681976-3.20176068197577
62102.4101.5770548196920.822945180308466
63121.2111.18187766113310.0181223388666
64102.6107.517417678198-4.91741767819809
65108.9105.1440013569093.7559986430911
66105.5115.409099773274-9.90909977327412
6790.896.5712915522401-5.77129155224013
6899.693.10404269735146.49595730264861
69111.6110.3621102883151.23788971168459
70104.7112.03240823284-7.33240823284029
71103.1105.04091057348-1.94091057347967
72101.7102.834078012146-1.13407801214646
7398.8100.334172975238-1.53417297523764
74101.4101.68826698159-0.288266981589686
75114.2112.8732865132081.32671348679169
7696.9101.764272922169-4.86427292216926
7798.3101.277821980003-2.97782198000277
78104.8105.186481318123-0.386481318122804
7994.491.29502578576113.10497421423892
8094.594.48038793730560.0196120626943639
81102.4107.571240864343-5.17124086434283
82105.5104.2699977399271.23000226007302
83101.2102.142966801557-0.94296680155702
8499.5100.457035262709-0.957035262709368


Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
8597.840658851645989.0959224572587106.585395246033
86100.06579702155190.506069365271109.62552467783
87111.671543638135101.332411532812122.010675743458
8898.439221035778887.3482478890389109.530194182519
89100.4493833984488.6283858914394112.27038090544
90106.22915435516393.6956778185094118.762630891817
9193.301469394716280.0697902612172106.533148528215
9294.367280215974980.4491133431901108.28544708876
93106.17993814326191.5849515189981120.774924767524
94106.61542959138891.3516286122679121.879230570508
95103.42900175490687.5030224239784119.354981085833
96102.13978699493485.5571238262404118.722450163628