Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.39496296829087
beta0.183094101313385
gamma0.644958687350449


Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
138786.2410064910560.758993508944016
1487.587.01979041419630.480209585803749
15117.6117.0874142004220.512585799578034
16103.4103.528359905879-0.128359905879265
17110.8110.5395937729980.260406227002349
18112.6111.5682910846041.03170891539605
19102.5102.798455794746-0.298455794746488
20112.4110.2752732604982.12472673950171
21135.6135.1138410677390.48615893226085
22105.1117.588315576490-12.4883155764899
23127.7104.27938131087923.4206186891212
24137144.820228932451-7.82022893245136
259195.8538749386248-4.85387493862478
2690.594.5640330111002-4.06403301110021
27122.4124.620095482164-2.22009548216366
28123.3108.69968078321914.6003192167807
29124.3123.2562551824091.04374481759140
30120125.899247386699-5.89924738669933
31118.1113.2358328737774.86416712622336
32119125.486247188026-6.48624718802567
33142.7148.720876219639-6.02087621963935
34123.6121.2493295721092.35067042789126
35129.6128.6163480440540.983651955945533
36151.6147.9102070438993.6897929561014
37110.4100.9609657060539.43903429394676
3899.2106.547012121165-7.34701212116492
39130.5141.209642796919-10.7096427969186
40136.2127.4400073257038.75999267429725
41129.7134.368655182123-4.66865518212265
42128131.245203197272-3.24520319727154
43121.6122.873339460583-1.27333946058297
44135.8127.5215809025078.27841909749326
45143.8159.071824885082-15.2718248850821
46147.5129.39092268528918.1090773147115
47136.2143.773351668667-7.57335166866687
48156.6162.566569237088-5.96656923708829
49123.3110.60657432178212.6934256782176
50104.5110.280899047444-5.78089904744392
51139.8146.549107503577-6.74910750357657
52136.5141.830251885327-5.33025188532682
53112.1136.981192390721-24.8811923907206
54118.5124.184618141031-5.68461814103101
5594.4113.651172273622-19.2511722736216
56102.3109.882769188564-7.58276918856379
57111.4116.459249243814-5.05924924381364
5899.2101.296471086083-2.09647108608323
5987.892.9228304871463-5.12283048714626
60115.899.295017228643216.5049827713568


Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
6173.742510212709859.773144095726487.7118763296932
6262.388216202192246.598380608087178.1780517962973
6380.315054429771559.0357735748043101.594335284739
6475.238457854210250.962063617596199.5148520908242
6565.501437444353939.463990621604191.5388842671037
6665.128462486735834.445504100775295.8114208726964
6755.050223569446623.533306190550786.5671409483424
6857.846461633423319.094164472255796.5987587945908
6961.924334854323413.4042716986218110.444398010025
7053.80942649675763.76331594632744103.855537047188
7147.6698718636309-4.86453787945371100.204281606715
7254.9485875501871-14.6951939996628124.592369100037