Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.0536868572060943
beta0.0982858832672798
gamma0.910497809224067


Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
1387.687.47244697004080.127553029959202
1485.485.4652147636646-0.0652147636646419
1586.186.3288295614751-0.228829561475138
1686.786.914198608956-0.214198608956039
1789.189.120207340686-0.0202073406860137
18103.7103.751481005857-0.0514810058570134
1986.989.3286739359633-2.42867393596329
2085.287.9022547215732-2.70225472157323
2180.882.3631625078487-1.5631625078487
2291.289.26169356400181.93830643599817
23102.899.1397255843363.66027441566408
24182.5184.890092969064-2.39009296906366
2580.986.6044003132953-5.70440031329531
2683.184.1028982193727-1.00289821937268
2788.384.7109345002493.58906549975099
2886.685.4725083006011.12749169939896
299387.85873629321875.14126370678134
30105.3102.5828637094582.71713629054153
3193.886.42575365901257.37424634098748
3286.485.35508984104941.0449101589506
338781.07755976643415.92244023356587
3496.791.58429678606735.1157032139327
35100.5103.381845750047-2.88184575004691
36196.7184.38406061385912.3159393861415
3786.882.8616000280943.93839997190599
3888.285.16391602261023.03608397738985
3993.890.28861769121113.51138230878888
408589.1070000115617-4.10700001156169
4190.495.0274568479773-4.62745684797727
42115.9107.6099461110738.29005388892676
4394.995.5695471684893-0.669547168489245
4487.788.5650001443302-0.865000144330168
4591.788.48037920087953.21962079912046
4695.998.4804238591472-2.58042385914717
47106.8103.1413750011513.65862499884895
48204.5200.1812696512424.31873034875846
4990.288.41197432134721.78802567865283
5090.589.90447172613150.595528273868482
5193.295.469114356397-2.26911435639711
5297.887.261250470640310.5387495293597
5399.493.7695053634645.63049463653603
54120119.0551608579170.94483914208287
55108.298.33394361563519.86605638436485
5698.591.59296333249956.90703666750055
57104.395.81397159186198.48602840813813
58102.9101.5979923852771.30200761472348
59111.1112.718341323270-1.61834132327026
60188.1216.162802775936-28.0628027759363
6193.894.7348742910747-0.934874291074749
6294.595.2053216060283-0.705321606028292
63112.498.518784407651213.8812155923488
64102.5102.556522899516-0.0565228995160396
65115.8104.50793914713211.2920608528676
66136.5127.5921382898708.90786171012984
67122.1114.2791536419277.82084635807337
68110.6104.3750226585686.22497734143208
69116.4110.4372129058935.96278709410657
70112.6110.0060254988682.59397450113164
71121.5119.4788678414942.02113215850621
72199.3206.569975262126-7.2699752621262
73102.1101.8963504886850.203649511315049
74100.6102.917299765070-2.31729976507039
75119120.258732181516-1.25873218151563
76106.8110.923395793423-4.12339579342331
77121.3123.456787301719-2.15678730171933
78145.5145.3222845633830.177715436617405
79129.7129.5612817976950.138718202305370
80117.7117.0500446797310.649955320269257
81121.3122.869961720829-1.56996172082857
82124.3118.8225352079395.47746479206111
83135.2128.4042054512016.7957945487993
84210.1212.482950264386-2.38295026438641
85106.8108.388470443026-1.58847044302576
86110.5107.0251548452713.47484515472908
87111.5126.743431486855-15.2434314868553
88122.1113.4337247519078.66627524809331
89126.3129.244089618442-2.94408961844211
90143.2154.561506283968-11.3615062839677
91137.3137.1595777124520.140422287548063
92121.5124.331045370537-2.83104537053738
93121.9128.184714245078-6.2847142450776
94123.9129.950505473243-6.05050547324274
95131.6140.341352628503-8.74135262850268
96220.9218.2302912367172.66970876328344


Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
97110.937461598575100.093192696182121.781730500967
98113.948107193902103.080285419281124.815928968524
99117.172597960547106.275431725216128.069764195877
100125.422001563343114.481454771639136.362548355047
101130.740301880711119.750622152608141.729981608815
102149.318877821006138.227934500818160.409821141194
103142.047444371941130.927641558720153.167247185163
104125.987281168629114.878706054167137.095856283091
105126.925928324180115.756420840829138.095435807532
106129.220367716602117.974692796636140.466042636567
107137.861879301625126.483067256692149.240691346559
108229.713370985837185.529030909053273.897711062621