Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.65608700669263
beta0.199347512411938
gamma0.778784375543958


Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
13166157.7278311965818.27216880341874
14167165.1488639124511.85113608754861
15163163.349249310514-0.349249310513926
16169169.976979028572-0.976979028571549
17168168.940085019218-0.940085019217804
18158158.34611028314-0.346110283140092
19159161.179900460986-2.17990046098626
20161159.1504570470781.84954295292155
21166165.0482462195460.951753780454453
22177178.148153470689-1.1481534706891
23186184.5118393224471.4881606775526
24182174.7581454779797.2418545220205
25203203.817101184095-0.81710118409535
26213204.421472760078.57852723993014
27215208.1926068776936.80739312230722
28216222.029934612889-6.02993461288895
29219219.709216291758-0.709216291758281
30217211.4774660786785.52253392132152
31216220.489669811131-4.48966981113142
32222220.54116962871.45883037130045
33224228.408188477132-4.40818847713197
34234239.194087044029-5.194087044029
35237244.845224798244-7.84522479824417
36233230.524187771362.47581222863977
37253253.689529328555-0.689529328555068
38257256.3025406830680.697459316932168
39254252.8063512095591.19364879044076
40258257.1657955100410.834204489959347
41253259.314870283401-6.31487028340132
42241246.882489682149-5.88248968214907
43238242.046832549729-4.0468325497292
44240240.356437675536-0.35643767553637
45240241.598032118701-1.59803211870056
46245250.521622655281-5.52162265528051
47249251.709440694276-2.70944069427568
48247240.6555930169586.34440698304167
49263263.150596697325-0.150596697325227
50265264.1984778545050.801522145494744
51261258.6268696983742.37313030162647
52257261.54155924439-4.5415592443901
53252255.423481253515-3.42348125351492
54245242.5566542001472.44334579985298
55235242.316795880531-7.31679588053095
56240237.6834325794672.31656742053286
57243238.9098087101744.09019128982595
58255249.82205540365.17794459639961
59252259.489865562035-7.48986556203522
60240247.806290533727-7.80629053372743


Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
61257.508580649709248.963599976447266.053561322971
62257.160931097206246.287718204553268.034143989859
63249.630209240722236.22443201991263.035986461534
64246.971373697817230.847508404831263.095238990804
65242.561844785185223.548236755391261.575452814979
66232.38964189656210.325470434854254.453813358266
67226.49026065252201.223520214668251.757001090372
68228.752076559485200.138149095363257.366004023608
69228.145219177242196.04581568713260.244622667355
70235.341927973286199.62427442108271.059581525492
71236.219111119095196.755303878664275.682918359527
72228.343810807525185.010294347985271.677327267064