Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.310566161589671
beta0.923250739700174
gamma0.896712472112486


Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
13226.33228.542465277778-2.21246527777777
14226.22227.174433198827-0.954433198826905
15224.84224.6559382642560.184061735743569
16221.88220.9733807670230.906619232976936
17222.37221.2314305083791.1385694916211
18221.8220.8342286807380.965771319261677
19221.8222.074444288424-0.274444288424178
20221.8221.7328826974810.0671173025192218
21221.9221.485393152360.414606847640414
22220.2220.1526191713190.0473808286808719
23219.95219.8660494075810.0839505924187733
24220.05220.3919914985-0.341991498500306
25220.05218.9839587231221.06604127687808
26220.05220.35900758398-0.30900758398019
27220.62219.877010195920.742989804079883
28221.53218.1072062506163.42279374938417
29221.61221.3040227517720.305977248227947
30221.5222.316619344038-0.816619344037747
31221.5223.500689472913-2.00068947291305
32221.87223.603344753279-1.73334475327857
33222.27223.264440359092-0.994440359091755
34220.86221.115940754064-0.255940754063744
35221.49220.5197110110550.970288988944816
36221.67221.0736655605090.596334439490846
37221.67221.11264455640.557355443599846
38221.72221.6188889416750.101111058325131
39221.67222.171488205283-0.501488205282612
40220.29221.571938408762-1.28193840876204
41220.75219.9317718708350.818228129165249
42219.59219.1073561938170.482643806182693
43219.59219.0333673148050.556632685195382
44219.59219.899235627487-0.309235627486885
45219.82220.671471549163-0.851471549163392
46221.59219.2769766888522.31302331114773
47220.9221.2263103563-0.326310356299587
48221.01221.764268418167-0.754268418166902
49221.01221.590310213773-0.580310213773373
50219.69221.365581669637-1.67558166963667
51221220.3888358477260.611164152274341
52219.82219.366353371180.453646628819513
53218.04219.775227201818-1.73522720181825
54217.97217.4298282734060.540171726594394
55217.97216.9154421463181.05455785368153
56217.53217.03941379690.490586203100065
57217217.592922494082-0.592922494081904
58217.18218.177322925281-0.997322925281338
59217.68216.4599311120491.22006888795107
60217.71216.6500175813331.05998241866664
61217.71217.1036996091040.606300390896308
62218.5216.8672567202981.63274327970214
63218.8219.577170681251-0.777170681250595
64218.94218.8735444602390.0664555397613071
65220218.5453433832211.45465661677861
66219.89220.248344968925-0.35834496892474
67219.89221.166308175194-1.27630817519389
68220.08220.942793112076-0.862793112076076
69220.16220.743144117492-0.58314411749177
70221221.420382242491-0.420382242490831
71222.16221.7582506813780.40174931862154
72221.5221.865825705653-0.365825705653293


Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
73221.45800051357219.407966824507223.508034202633
74221.355765629563218.9678827028223.743648556326
75221.28851396317218.290787731975224.286240194366
76220.790414703959216.95025774649224.630571661427
77220.723353208498215.857723973736225.588982443261
78219.860211702305213.821998058384225.898425346226
79219.431171307063212.0966728094226.765669804727
80219.334849071735210.595860873216228.073837270253
81219.298598960455209.057690902556229.539507018355
82220.147329208932208.314968842648231.979689575217
83221.134315938348207.627036013376234.641595863319
84220.537694612224205.276868634316235.798520590131