Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.619550157028392
beta0.06316942502326
gamma0.394601674344275


Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
130.490.4800186965811970.00998130341880338
140.490.4865772235914360.00342277640856387
150.490.4892063700868720.000793629913127758
160.490.490237688456249-0.000237688456249108
170.490.490620751043432-0.000620751043432177
180.490.491158859709075-0.00115885970907476
190.50.500484895872684-0.000484895872684077
200.50.500626175914631-0.0006261759146311
210.50.500655419471077-0.000655419471076946
220.50.50064089427004-0.000640894270040437
230.50.500610285719471-0.000610285719470638
240.50.510574756176529-0.0105747561765288
250.50.505450331711825-0.00545033171182452
260.50.500804376646689-0.000804376646688865
270.510.4995952459318460.0104047540681539
280.510.5059778166695340.00402218333046578
290.50.508660799535528-0.00866079953552845
300.510.50354047408930.00645952591069998
310.50.517389383143917-0.017389383143917
320.510.5060764122895220.00392358771047774
330.510.5081382714698640.00186172853013622
340.520.5090021380815060.0109978619184941
350.530.5159591313216220.0140408686783784
360.530.533850409439796-0.00385040943979587
370.530.534270143583905-0.00427014358390543
380.530.531707820607205-0.00170782060720487
390.530.532241353903261-0.00224135390326086
400.540.5299555189830760.0100444810169243
410.550.534825945682410.0151740543175904
420.540.548035655325381-0.00803565532538053
430.550.550049626755859-4.96267558589558e-05
440.550.554083657396246-0.00408365739624605
450.550.551966229624403-0.00196622962440252
460.540.552771385256682-0.0127713852566822
470.550.5454700529960310.00452994700396869
480.550.554421744532647-0.00442174453264688
490.550.554040989781774-0.00404098978177425
500.550.551630773977439-0.00163077397743916
510.560.5517604228007330.00823957719926682
520.560.5578511422919420.00214885770805795
530.560.5583295761957180.00167042380428239
540.560.5588898974443130.00111010255568678
550.550.567328142652871-0.0173281426528709
560.550.558934536115322-0.00893453611532147
570.560.5528226634364450.0071773365635549
580.560.5567214654120510.00327853458794891
590.560.561640270394638-0.00164027039463821
600.560.564862862899882-0.0048628628998818
610.560.563686253622008-0.00368625362200792
620.550.56129181342915-0.0112918134291498
630.550.55597382337669-0.00597382337669017
640.550.550844049373194-0.000844049373193934
650.540.547779066800293-0.00777906680029261
660.540.540413679614113-0.000413679614113316
670.540.543093010793082-0.00309301079308166
680.540.54328920540315-0.00328920540314959
690.550.5418249739676970.00817502603230258
700.540.544526891079805-0.00452689107980542
710.540.54233623267993-0.00233623267992966
720.540.543081439181597-0.00308143918159687


Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
730.5416924629085720.5284720088906310.554912916926513
740.539091627730440.5232608956614030.554922359799477
750.5406613546786770.5223386171921710.558984092165184
760.5393300752523430.5185780220606370.560082128444048
770.5351072275846740.511957227592990.558257227576357
780.5333318774940610.5077959716634940.558867783324629
790.5355462341594810.5076237864453770.563468681873586
800.5374312680396710.5071129614799330.567749574599409
810.5396566914931850.5069270752526110.572386307733758
820.5349976834401750.4998368714484240.570158495431925
830.5357285068164210.4981133517801890.573343661852652
840.5376886545259720.4975935830276650.577783726024279