Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.859998440553193
beta0.0713194296639774
gamma1


Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
131.01371.07518811431624-0.0614881143162398
140.98340.987017021911577-0.00361702191157653
150.96430.9630264634754070.0012735365245935
160.9470.947582389518923-0.00058238951892331
170.9060.90678150143204-0.000781501432040699
180.94920.9457239443339830.00347605566601727
190.93970.8873702488454040.0523297511545964
200.90410.957036112891393-0.0529361128913926
210.87210.896564182795004-0.0244641827950045
220.85520.889294234023439-0.0340942340234387
230.85640.8157179667317320.0406820332682678
240.89730.82149438886950.0758056111305005
250.93830.87646810801070.0618318919893
260.92170.9097481931471410.0119518068528588
270.90950.9080805180811880.00141948191881203
280.8920.900760105001888-0.0087601050018884
290.87420.8606549220859920.0135450779140076
300.85320.921149384218215-0.0679493842182153
310.86070.8124637834044260.0482362165955741
320.90050.8678750217304930.0326249782695065
330.91110.8942226591143980.0168773408856017
340.90590.932944847692385-0.0270448476923846
350.88830.8881189206051850.000181079394815264
360.89240.8737169164311450.0186830835688550
370.88330.883840396382622-0.000540396382622488
380.870.8589029297339690.0110970702660314
390.87580.8573790243486280.0184209756513719
400.88580.8666508748391710.0191491251608291
410.9170.8587783116690860.0582216883309142
420.95540.95413342419410.00126657580590062
430.99220.9333331263549610.058866873645039
440.97781.00844666252811-0.0306466625281139
450.98080.9870409001049-0.00624090010490086
460.98111.00717912096454-0.02607912096454
471.00140.9745014804448450.0268985195551548
481.01830.9948115368791220.0234884631208777
491.06221.015815848902460.0463841510975367
501.07731.045180311981030.0321196880189711
511.08071.076368225661470.00433177433852650
521.08481.08636821396511-0.00156821396510587
531.15821.077621188460670.0805788115393287
541.16631.19707304991013-0.0307730499101331
551.13721.16766118027058-0.0304611802705801
561.11391.15882011924888-0.0449201192488764
571.12221.1330800188951-0.0108800188951006
581.16921.150690652277060.0185093477229406
591.17021.17075022270366-0.000550222703664005
601.22861.172267677921380.0563323220786183
611.26131.232028241886780.0292717581132225
621.26461.250934597294830.0136654027051726
631.22621.26748518764415-0.041285187644154
641.19851.23975443868747-0.0412544386874714
651.20071.20826968130461-0.00756968130460822
661.21381.23080963754201-0.0170096375420106
671.22661.208607212101410.0179927878985868
681.21761.23771338760201-0.0201133876020145
691.22181.23789538929663-0.0160953892966329
701.2491.25463817115914-0.00563817115914067
711.29911.249284266786520.0498157332134752
721.34081.303190909563260.037609090436737
731.31191.34302351950686-0.0311235195068611
741.30141.30406331330588-0.00266331330588421
751.32011.294134746826300.0259652531736971
761.29381.32362503759217-0.0298250375921731
771.26941.30676794420661-0.0373679442066110
781.21651.30061464605355-0.0841146460535516
791.20371.21974136717618-0.0160413671761772
801.22921.206294782252930.0229052177470728
811.22561.23872525622995-0.0131252562299464
821.20151.25435855940209-0.0528585594020885
831.17861.20813476898104-0.0295347689810443
841.18561.179200164525890.00639983547410972
851.21031.167764994114580.0425350058854206
861.19381.185848097021190.00795190297881443
871.2021.179420342857510.022579657142487
881.22711.188344343347500.0387556566525016
891.2771.223772935448240.0532270645517645
901.2651.28890561493379-0.0239056149337915
911.26841.27295429340549-0.00455429340548652
921.28111.279155630970580.00194436902942252
931.27271.29154633429204-0.0188463342920409
941.26111.29937674392037-0.0382767439203742
951.28811.272532977974090.0155670220259145
961.32131.293757363215460.0275426367845437
971.29991.31320135349621-0.0133013534962094
981.30741.282636289725950.0247637102740519
991.32421.297958421115130.0262415788848662
1001.35161.317764785351010.0338352146489931
1011.35111.35615448294248-0.00505448294247746
1021.34191.36195841002156-0.0200584100215606
1031.37161.353852843641310.0177471563586877
1041.36221.38333901629522-0.0211390162952225
1051.38961.374747303376040.0148526966239597
1061.42271.412685445943940.0100145540560628
1071.46841.441719166063340.0266808339366584
1081.4571.48166851206183-0.0246685120618342
1091.47181.454780918684750.0170190813152504
1101.47481.461768386809600.0130316131904047
1111.55271.472636090402930.0800639095970745
1121.5751.548522120490790.0264778795092062
1131.55571.58341806835461-0.0277180683546092
1141.55531.57451887755431-0.0192188775543141
1151.5771.57936774184362-0.00236774184362409
1161.49751.59181686520620-0.0943168652061963
1171.43691.52654873491655-0.0896487349165489
1181.33221.46874643113537-0.13654643113537
1191.27321.35988994788131-0.0866899478813117
1201.34491.274016768598470.0708832314015333
1211.32391.319865640278610.00403435972139055


Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
1221.299057390247321.224156937852201.37395784264244
1231.291232638010431.189388551718371.39307672430249
1241.268981100351711.143324786533171.39463741417026
1251.250113983236851.102113438943291.39811452753041
1261.244537651875731.074954683651811.41412062009966
1271.247748152216301.056975028646441.43852127578615
1281.228979979753741.017191464298161.44076849520932
1291.230882109561390.9981149203115621.46364929881121
1301.234514754126270.980713332761931.4883161754906
1311.249345921343100.9743906958289241.52430114685728
1321.264681493232950.96840726634671.56095572011921
1331.240459395996810.9226678048590971.55825098713451