Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.507538951709474
beta0
gamma0.316699583294714


Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
13108.3104.7126068376073.58739316239314
14117.2115.3911574604261.80884253957353
15128.7127.8545243645780.845475635422034
16116.5116.3956117067510.104388293248519
17131.7131.706401689486-0.00640168948643804
18139.9140.098461440524-0.198461440524142
19107.4109.688876720188-2.28887672018791
2096.191.55999148684044.54000851315962
21126.5131.238698172837-4.73869817283702
22116.4118.520599794203-2.12059979420323
23109.8105.16045498884.63954501119981
24148153.993846991336-5.9938469913356
25111.4111.556542791833-0.156542791833047
26117120.057513401611-3.05751340161088
27141.7129.90076628248911.799233717511
28120123.885730900139-3.88573090013902
29132.1137.154100919848-5.05410091984791
30146.7142.9543026319733.74569736802681
31122.5114.2205063544168.27949364558442
3299.6102.520528762305-2.9205287623046
33122.7136.96559459093-14.2655945909298
34139119.82054959715419.179450402846
35117.8118.325337055661-0.525337055660643
36125.5162.878942924713-37.3789429247132
37134.5105.42287889217329.0771211078274
38121.3128.308630848297-7.00863084829719
39126.7138.463628818224-11.7636288182242
40117.7118.043261158769-0.343261158768897
41123132.927350988526-9.92735098852626
42132.1137.626624447194-5.52662444719371
43113.1104.8938645572448.20613544275611
4489.291.4098745866224-2.20987458662238
45121.7124.446223565186-2.7462235651862
46105.3118.363871156228-13.0638711562278
4785.397.4307148153924-12.1307148153925
48105.3130.346369649142-25.0463696491416
4972.289.5142014622703-17.3142014622703
5092.183.22653661209738.8734633879027
5197.2100.70071605547-3.50071605547025
5278.686.2552442429667-7.65524424296666
5378.195.9334620242341-17.8334620242341
549397.3064232073737-4.30642320737367
558167.334754540672813.6652454593272
5665.954.996971614246110.9030283857539
5788.694.6049794499028-6.00497944990276
5885.785.25951838760010.44048161239995
5976.371.3258842185254.97411578147496
6096.8110.908552786833-14.1085527868327
6176.876.83367873335-0.0336787333500439
6285.683.40083832689342.19916167310657
63119.295.557645316686723.6423546833133
6491.494.2403897805504-2.84038978055037
6595.7104.774916421671-9.07491642167062
66112.3112.702887510599-0.402887510598873
6795.287.51531640016537.68468359983467
6882.871.711363901006911.0886360989931
69111.3108.776564632712.52343536729045
70108.2104.7648546303673.43514536963312
719793.0582045641813.94179543581896
72124.4129.140755207049-4.74075520704864
7399.3102.015551762753-2.71555176275263
74117.6107.56979505198510.0302049480151
75131.5127.0454892815384.45451071846219
76114.2111.859348212712.34065178729038
77116.8124.051104714273-7.2511047142726
78116.5134.257240068885-17.7572400688854
79105.4101.5230145074913.87698549250885
8089.284.31739485287394.88260514712614
81115.8116.896945516208-1.0969455162077
82111.4111.18994350120.210056498800185
83106.497.92545347374378.47454652625633
84128.4134.954402077284-6.55440207728441
85107.7107.2245574041040.475442595895942
86111116.386210994251-5.38621099425119
87129.8127.1678760498122.63212395018779
88130.5110.72712060304519.7728793969553
89142.9130.2704601014912.6295398985096
90159.9148.9282369065110.9717630934899
9184.1134.14922109766-50.0492210976596
927589.7307897431289-14.7307897431289
93100.7111.423194595418-10.7231945954184
94106.8101.0343391349975.76566086500257
9597.491.87848284281915.5215171571809
96113125.064705996125-12.0647059961253
9776.995.6345575510029-18.7345575510029
9887.394.132191363217-6.83219136321699
99103.7105.430522286813-1.73052228681313
10092.189.44886402191722.65113597808282
10192.999.188160807849-6.28816080784898
102112.2107.9859170954314.21408290456938
10388.780.26014789097468.43985210902545
10474.671.03554000300873.56445999699127
105101.5102.638530120805-1.13853012080475
106119.799.685903538218720.0140964617813
107120.797.723606120397222.9763938796028
108153.5137.02607290048816.4739270995119


Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
109121.04014759919798.1790013535041143.901293844889
110130.902618431973105.265539595728156.539697268218
111146.464220175568118.323722403767174.604717947369
112132.044242479154101.605526697544162.482958260764
113139.043792018234106.468598664663171.618985371806
114152.670987976973118.091065686553187.250910267393
115123.46546785164786.9908351708323159.940100532462
116109.1969293492170.9212630220346147.472595676385
117138.25732845006998.2616482285979178.25300867154
118139.18156061485797.5368461847272180.826275044987
119127.52333610776584.2924438713563170.754228344173
120154.15024894258109.389352535729198.911145349432