Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.473971450972799
beta0.0065615366876307
gamma0.328170676425391


Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
1320.20319.75205021367520.450949786324788
1420.4520.18780332850030.262196671499719
1523.08322.99874161563290.0842583843670681
1621.73821.8157292766096-0.0777292766096025
1726.76626.7729060076284-0.00690600762840177
1825.2825.19287946865590.0871205313440981
1922.57423.0523981013263-0.478398101326281
2022.72921.5059309047481.22306909525199
2121.37823.9528809725080-2.57488097250796
2222.90222.56049497152850.341505028471538
2324.98922.69391308253532.29508691746474
2421.11620.66624424625030.449755753749734
2515.16921.5631443600254-6.39414436002542
2615.84618.7070404533627-2.86104045336273
2720.92719.98232941630290.944670583697079
2818.27319.1572331801393-0.884233180139319
2922.53823.7199366443331-1.18193664433310
3015.59621.5711168793076-5.97511687930761
3114.03416.4127369567014-2.37873695670139
3211.36614.2064255749357-2.84042557493574
3314.86114.00627126565170.854728734348273
3415.14914.68804112721390.46095887278606
3513.57715.1608610980324-1.58386109803237
3613.02610.90960682215842.11639317784157
3713.1911.35366519876901.83633480123103
3813.19612.97274235654620.223257643453822
3915.82616.340720977083-0.514720977083002
4014.73314.47750907375170.255490926248314
4116.30719.5018747509537-3.19487475095367
4215.70315.53814379676950.164856203230496
4314.58913.89646084674480.69253915325517
4412.04313.0613905059975-1.01839050599748
4515.05714.36362306923430.693376930765746
4614.05314.9013499437283-0.84834994372828
4712.69814.3969400845724-1.69894008457240
4810.88810.72588469416540.162115305834634
4910.04510.1852264162700-0.140226416269973
5011.54910.57276295589040.976237044109611
5113.76714.1563327990870-0.389332799086965
5212.43412.4719963747322-0.0379963747322165
5313.11616.7472035154773-3.63120351547726
5414.21113.14086181187641.07013818812356
5512.26612.00638035504540.259619644954562
5612.60210.65645052964721.94554947035279
5715.71413.65390625116712.06009374883288
5813.74214.5724271360866-0.830427136086591
5912.74513.9288861337279-1.1838861337279
6010.49110.8240310030629-0.333031003062949
6110.0579.995765939881310.0612340601186876
6210.910.67141824887540.228581751124628
6311.77113.6624585669115-1.89145856691147
6411.99211.31970819580250.672291804197467
6511.93315.3063961280774-3.37339612807743
6614.50412.62973829881721.87426170118276
6711.72711.7348830753153-0.00788307531533405
6811.47710.54678206802980.930217931970176
6913.57813.07719563553270.500804364467331
7011.55512.7472486974918-1.19224869749179
7111.84611.8596459251731-0.0136459251731296
7211.3979.448419298881161.94858070111884
7310.0669.76881702994870.297182970051301
7410.26910.5851080689890-0.316108068989035
7514.27912.95022740953531.32877259046466
7613.8712.58458539064731.28541460935272
7713.69516.1736250841754-2.47862508417542
7814.4214.8398787055740-0.419878705573966
7911.42412.5385497457272-1.11454974572725
809.70410.9902129166719-1.28621291667189
8112.46412.39143093018730.0725690698126975
8214.30111.56037179792252.7406282020775
8313.46412.74665642600350.71734357399654
849.89311.0292620950649-1.13626209506491
8511.5729.601493094083381.97050690591662
8612.3811.10926199098361.27073800901636
8716.69214.51962794755162.17237205244843
8816.05214.55814262982841.49385737017159
8916.45917.6086504737641-1.14965047376408
9014.76117.2767763721974-2.51577637219739
9113.65413.8721952174728-0.218195217472841
9213.4812.73192130877740.748078691222647
9318.06815.35107491751412.71692508248591
9416.5616.26134516408430.298654835915684
9514.5315.9607364858548-1.43073648585482
9610.6512.9183565913382-2.26835659133818
9711.65111.49992470226470.151075297735261
9813.73512.02848237627841.70651762372159
9913.3615.8063437290606-2.44634372906059
10017.81813.52952660924544.28847339075461
10120.61317.44789032581883.16510967418117
10216.23118.9383066349928-2.70730663499282
10313.86215.8520225188341-1.99002251883408
10412.00414.0456998503392-2.04169985033923
10517.73415.68071993957482.05328006042518
10615.03415.8551839135026-0.821183913502637
10712.60914.7179826843134-2.10898268431336
10812.3211.20014708696071.11985291303927
10910.83311.8064362583755-0.97343625837554
11011.3512.0681687829837-0.71816878298368
11113.64813.9700103316430-0.322010331642952
11214.8913.85939440912621.03060559087377
11316.32516.02628238417790.298717615822106
11418.04515.12204146269112.92295853730894
11515.61614.82334425918500.792655740815043
11611.92614.3308440601420-2.40484406014198
11716.85516.50335280686800.351647193131967
11815.08315.3724927828561-0.289492782856074
11912.5214.2640544045649-1.74405440456491
12012.35511.47676944261250.878230557387475


Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
12111.60662692087448.1445437707280815.0687100710206
12212.37628284319778.5403842456087716.2121814407867
12314.691613392090310.510955555354118.8722712288265
12414.972830642170910.469765321047719.4758959632940
12516.527403338478711.719759224836321.3350474521211
12615.936171086437610.838557358778521.0337848140966
12713.87681362277488.5014531211549719.2521741243946
12812.44666355492646.8039533728907318.0893737369621
12916.232345548060610.331249836094722.1334412600265
13014.82054361740458.668878022664120.9722092121449
13113.59552703805667.2001703616247519.9908837144884
13212.09028291892645.4573382676628418.7232275701900