Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.109214153332466
beta0
gamma0.19831366914627


Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
12319.957318.0634965034961.89350349650351
13250.746248.1448854295182.60111457048197
14247.772246.5024645907821.26953540921812
15280.449277.5970710068082.85192899319236
16274.925273.8074062892551.11759371074498
17296.013292.2331457940533.77985420594655
18287.881273.49727818842214.3837218115779
19279.098288.458048459935-9.36004845993483
20294.763276.13948114614218.6235188538581
21261.924279.066933625565-17.1429336255651
22291.596284.207910552477.38808944753038
23287.537328.067610182269-40.5306101822691
24326.201253.64068849310472.5603115068962
25255.598259.40357198598-3.80557198597967
26253.086290.223442598656-37.1374425986561
27285.261281.75999350433.50100649570021
28284.747300.916337071989-16.1693370719893
29300.402281.87496176574918.5270382342512
30288.854293.093784865289-4.23978486528858
31295.433286.2778601594179.15513984058316
32307.256281.85290863263825.4030913673617
33273.189295.974041775152-22.785041775152
34287.54328.073330078303-40.5333300783034
35290.705273.62418920328617.0808107967138
36337.006259.83751011142677.1684898885744
37268.335293.612652408014-25.2776524080138
38259.06293.623445876019-34.5634458760187
39293.703305.147747772582-11.4447477725824
40294.262292.7516530019731.51034699802653
41312.404298.09013922068314.3138607793167
42301.014295.6668157686465.34718423135445
43309.942293.69626362825916.2457363717409
44317.079298.30460887159218.7743911284077
45293.912331.807451410354-37.8954514103542
46304.06287.82423083441316.2357691655869
47301.299284.56005076767216.7389492323284
48357.634293.63780768652463.9961923134757
49281.493301.758186585579-20.2651865855792
50282.478318.92809460184-36.4500946018401
51319.111306.08964444054713.0213555594528
52315.223314.9471005642190.27589943578073
53328.445309.4066247171919.0383752828104
54321.081310.85662824941810.2243717505825
55328.04315.25405478425212.7859452157484
56326.362338.091862690851-11.729862690851
57313.566306.5288460279847.03715397201626
58319.768302.34893627060417.4190637293956
59324.315319.8492000521944.46579994780564
60387.243306.5828228467480.66017715326
61293.308331.916063931288-38.6080639312884
62295.109327.581312483701-32.4723124837014
63339.19329.2186674951979.97133250480277
64335.678328.0515555142997.62644448570097
65345.401326.6981768073618.7028231926399
66351.002332.47408502328418.5279149767159
67351.889351.6081570128280.280842987172036
68355.773324.67216691168431.1008330883163
69333.363324.9543678637028.40863213629751
70336.214339.182306049017-2.96830604901697
71343.91338.5641376938385.34586230616219
72405.788334.60265736569171.1853426343092
73318.682343.342811088997-24.660811088997
74314.189353.331175127708-39.1421751277085
75362.141346.38593677783415.7550632221661
76351.811347.8770160716123.93398392838787
77373.727352.00905959901121.7179404009889
78366.795368.268090835501-1.47309083550061
79362.393346.5850519864515.8079480135498
80376.006341.18836246426434.8176375357356
81346.423356.290744689419-9.86774468941871
82349.007356.387799475893-7.38079947589256
83357.224362.667261590915-5.44326159091491
84418.473346.10678396929772.366216030703
85329.169364.133667120869-34.9646671208695
86323.456367.342543942895-43.8865439428955
87374.439360.23166272972814.2073372702717
88358.806368.627326846995-9.82132684699496
89391.816377.34501186678614.4709881332136
90376.944360.45607418806416.4879258119362
91372.665358.49180475189714.173195248103
92388.357363.44562506221724.911374937783
93354.241367.780383283184-13.539383283184
94368.982373.729516655785-4.74751665578469
95378.233370.990458250347.24254174966023
96426.699362.94437625171263.7546237482878
97343.241375.35870260727-32.1177026072697
98344.577379.795720584117-35.2187205841174
99373.623378.548575748113-4.92557574811337
100369.688392.092305216982-22.4043052169818
101398.816371.53236574128227.2836342587175
102379.387370.3382317126039.04876828739674
103384.666376.6293453080818.03665469191907
104383.879372.32862617909111.5503738209088
105351.578382.571043415268-30.9930434152678
106350.92379.083705909653-28.1637059096534
107336.629377.153902942524-40.5249029425243
108385.504361.24310234061324.2608976593868
109311.33371.289651050947-59.9596510509473
110300.545372.691882235478-72.146882235478
111329.718375.806388506976-46.0883885069759
112331.023361.437435356175-30.4144353561746
113348.944350.720575080979-1.7765750809794
114345.65355.650613028944-10.0006130289441
115349.26350.00068506412-0.740685064120441
116354.597351.3852369270933.21176307290654
117325.769352.133365046417-26.3643650464174
118339.734348.216408186772-8.48240818677192
119340.543347.249837752482-6.70683775248159
120401.585339.03628961182562.5487103881748
121315.998351.665232324248-35.667232324248
122312.327363.367196136422-51.0401961364216
123362.217351.22631785342410.9906821465756
124358.067350.0905039139447.97649608605639
125367.321354.63289776853212.6881022314678
126360.372353.0967112953037.27528870469729
127363.83356.0549407104647.77505928953639
128364.525352.07667416338812.4483258366117
129347.945355.557549739158-7.6125497391576
130357.404354.9996435709932.40435642900707
131368.182360.0155063156348.16649368436595
132429.343349.35480296418779.988197035813


Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
133370.972265501231314.075241776786427.869289225676
134375.363764428502318.128420357055432.59910849995
135372.49514137615314.923465065191430.06681768711
136376.998717793349319.092662708143434.904772878554
137373.120610351566314.882096309673431.35912439346
138375.372562248095316.803476374362433.941648121828
139371.370705130697312.472902774737430.268507486656
140369.948193170863310.723498788886429.17288755284
141371.991221833224312.441429835976431.541013830473
142377.762405238763317.889280807241437.635529670285
143378.897468894394318.70274876489439.092189023899