Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.815582747009687
beta0
gamma1


Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
13127.3130.810637626263-3.51063762626266
14127.7128.847422147280-1.14742214727978
15127127.699104440422-0.699104440421593
16123.9124.495593587123-0.595593587122551
17125.4125.934837733236-0.534837733235804
18124.6125.177799972226-0.577799972225591
19124.5126.031556283656-1.53155628365568
20124.8124.1116120692990.688387930701452
21124.1125.456382722162-1.35638272216170
22124.2123.3459737089580.85402629104209
23122.8123.775836150758-0.975836150757843
24122.3123.688294355625-1.38829435562475
25121.1121.375269950793-0.275269950793131
26121.7122.486582235014-0.786582235014251
27122.2121.7152368549980.484763145001978
28122.2119.4963571663352.70364283366544
29122.7123.637606043225-0.937606043225358
30121.7122.544154419449-0.8441544194486
31121123.004787520158-2.00478752015819
32119.8121.108280087767-1.30828008776702
33120.2120.447511766465-0.247511766465024
34116.6119.649116331588-3.04911633158767
35116116.558184786386-0.558184786385723
36118116.7352078291851.26479217081528
37117.1116.7912559248920.308744075108322
38116.2118.284585165773-2.08458516577342
39113.3116.689069012447-3.38906901244653
40114.3111.7199583482562.58004165174394
41113.6115.088891118331-1.48889111833141
42113113.563054990359-0.563054990358609
43112.9114.038907167466-1.13890716746577
44112.7112.977044799074-0.277044799074119
45112.5113.352958167211-0.85295816721127
46113111.5441068757811.45589312421889
47111.9112.586754070804-0.686754070803559
48110.9112.995106626148-2.09510662614763
49109.8110.134567467816-0.334567467816143
50108.3110.661851709232-2.36185170923171
51109.2108.5996324191640.600367580836476
52109.2107.9850444022291.21495559777104
53108.7109.490255134441-0.790255134440912
54109.8108.7049546168091.09504538319072
55110.8110.4269277747630.373072225236996
56110110.757152003328-0.757152003328429
57109.6110.635289857648-1.03528985764846
58109.5109.1035239979930.396476002006708
59110.8108.8869877564191.91301224358060
60111.6111.1559403545340.444059645466282
61113.1110.6909751944812.40902480551919
62114.3113.0820197680251.21798023197465
63114.1114.485733990629-0.385733990628566
64113.8113.1802391790120.619760820988191
65112.6113.830223865268-1.23022386526817
66112.7113.033774384073-0.333774384072896
67111.5113.457282484737-1.95728248473745
68110.7111.678476769940-0.978476769939817
69110.4111.324812544079-0.92481254407933
70109.7110.14719240207-0.447192402070058
71110109.5222502136650.477749786334726
72111.3110.3497273113020.950272688698092
73109110.659994252659-1.65999425265876
74108.2109.512767916658-1.31276791665766
75107.2108.556695040696-1.35669504069567
76108.7106.6447317396802.05526826031985
77110.3108.1243224327462.17567756725407
78110.3110.2709881486980.0290118513019877
79109.5110.690975539655-1.19097553965483
80109.5109.717665209314-0.217665209314490
81109.4109.994402375143-0.594402375142565
82109.6109.1743404609170.425659539083128
83111.3109.4318565539711.86814344602901
84110111.480456107635-1.48045610763479
85109.5109.3268843211460.173115678853534
86110.693109.7387453457100.95425465428987
87109.195110.623516046148-1.42851604614764
88108.095109.282201671490-1.18720167148965
89108.199108.1394953840930.0595046159068033
90106.87108.164364756814-1.29436475681351
91105.278107.280042295072-2.00204229507204
92108.711105.8247351297692.88626487023123
93111.192108.5635072831772.62849271682262
94109.641110.560100017482-0.919100017482208
95109.42109.986872336927-0.566872336926934
96109.935109.4319754982640.50302450173568
97111.126109.2010434422931.92495655770674
98110.733111.185731167210-0.452731167209521
99110.34110.483564479264-0.14356447926437
100111.766110.2347369673811.53126303261907
101111.294111.539077739818-0.245077739817759
102111.54111.0658581275410.474141872459242
103112.008111.4933912129980.514608787002174
104111.007112.992109429676-1.98510942967562
105114.963111.7103351174253.25266488257519
106112.045113.561754594492-1.51675459449223
107110.703112.566047013531-1.86304701353136
108108.894111.151319907488-2.25731990748849
109107.51108.931327379251-1.42132737925061
110111.35107.7483570198913.60164298010902
111112.964110.4098836077282.55411639227209
112115.203112.6701051605822.53289483941819
113115.182114.4637716678730.718228332127353
114115.191114.9088443731570.282155626843348
115112.346115.187259586243-2.84125958624323
116110.774113.487998289697-2.71399828969705
117113.07112.5776907491740.492309250826281
118111.138111.298248559056-0.160248559056427
119109.092111.345021600161-2.25302160016095
120107.971109.539527225459-1.56852722545864
121107.051108.035473570529-0.984473570528891


Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
122108.135116036053105.193744413258111.076487658848
123107.666022772661103.870427758045111.461617787277
124107.839237441642103.349090895417112.329383987867
125107.232462805545102.141658301524112.323267309567
126107.011341544320101.383627533306112.639055555334
127106.483623842636100.365941317255112.601306368017
128107.125114023127100.553895416738113.696332629516
129109.019595091960102.024183133787116.015007050132
130107.21829105195999.8229774713097114.613604632609
131107.00981659769199.235143778354114.784489417027
132107.16808034099099.0317167835196115.304443898460
133107.05198.5683538072768115.533646192723