Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.246690113402272
beta0.0345331971607616
gamma0.853252708606075


Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
1385.381.62314004185263.67685995814739
1479.477.17857104773022.22142895226980
15131128.4454029141292.55459708587060
1691.490.18957971241191.21042028758814
1788.287.26565128090640.934348719093578
18113.2112.4154991859510.784500814048712
1981.988.2360701997203-6.3360701997203
208989.9336033969772-0.93360339697719
2195.791.46175999592354.23824000407647
2293.292.41505318735060.784946812649366
239890.3448853425647.65511465743604
24140.5150.981461409249-10.4814614092488
259393.4541160966085-0.454116096608516
2682.186.4078620284123-4.30786202841229
2786.3140.160185743814-53.8601857438139
2884.887.9587463038027-3.1587463038027
2985.783.58750344798422.11249655201576
30110.8107.3843403738943.41565962610629
3187.480.1608757359957.23912426400507
32100.488.40545778937311.9945422106271
33100.496.41008076874693.98991923125315
3499.494.89614140540134.50385859459875
3510898.01431289736519.98568710263487
36161.7148.91672455755812.7832754424425
37109.3100.0216460581069.27835394189353
3899.991.99624315398627.9037568460138
39110.3116.142568305204-5.84256830520438
4097.5107.273099402642-9.77309940264182
41102.4105.009987240767-2.60998724076696
42122.3134.260094240738-11.9600942407381
43104.4100.9983574402433.40164255975670
44122.7112.9736399410459.7263600589545
45127.3115.42405515432511.8759448456752
46128.4115.98805389153912.4119461084614
47125.3125.821040363661-0.521040363661271
48187.1184.8666648007082.2333351992919
49131.4122.5846769033018.81532309669932
50125.6111.84043225349813.7595677465016
51142.9130.87620754275612.0237924572444
52116.6121.904635867697-5.30463586769743
53129.7126.6917765207553.00822347924517
54155.4157.269692224559-1.86969222455920
55138.7131.2717853684787.42821463152194
56167.7152.87680754984414.8231924501557
57155.8158.632476671689-2.83247667168857
58157.1155.4997248113341.60027518866619
59159.9154.2522753820015.6477246179989
60244.6231.73717584819212.8628241518083
61154.3161.44561212402-7.14561212402018
62143.2147.629675817796-4.42967581779587
63147.3163.542011807314-16.2420118073143
64155.1133.37211904069121.7278809593095
65152.2152.322602343346-0.122602343345761
66166.5183.765220364102-17.2652203641022
67161.2156.8219306690214.37806933097886
68180.1185.651291455172-5.55129145517157
69169.2173.796727071584-4.59672707158441
70164.5172.901609962885-8.40160996288535
71166.2171.560705224965-5.36070522496462
72267.3255.88824073613311.4117592638675


Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
73166.475390173274147.757267638598185.193512707950
74155.121582977313135.755966874575174.487199080051
75164.751956344182144.462586520229185.041326168136
76162.076288326031141.095829861594183.056746790468
77161.298247363775139.575673267784183.020821459766
78182.366241027696158.923520360589205.808961694803
79172.643077140927148.918033160368196.368121121486
80195.307417356729169.395943421752221.218891291705
81184.411287061899158.430042640031210.392531483768
82181.772756403171155.173233321444208.372279484898
83184.58422612996156.94118569666212.227266563260
84291.100628146095250.789083433606331.412172858583