Estimated Parameters of Exponential Smoothing
ParameterValue
alpha1
beta0.165143187979639
gammaFALSE


Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
313.9113.99-0.08
413.9413.9867885449616-0.046788544961629
513.9614.0090617354857-0.0490617354857346
614.0114.0209595240798-0.0109595240798104
714.0114.0691496333345-0.0591496333345294
814.0614.05938147431780.00061852568216203
914.0914.1094836196208-0.0194836196208392
1014.1314.1362660325633-0.00626603256326952
1114.1214.1752312399698-0.055231239969789
1214.1314.1561101769251-0.0261101769251066
1314.1414.1617982590690-0.0217982590689836
1414.1614.1681984250739-0.00819842507392643
1514.2114.18684451102080.0231554889791958
1614.2614.24066848229010.0193315177099418
1714.2914.2938609507532-0.00386095075316284
1814.3214.3232233410372-0.00322334103715072
1914.3314.3526910282223-0.0226910282223312
2014.3914.35894375948320.0310562405168415
2114.4814.42407248604880.055927513951227
2214.4414.5233085339985-0.083308533998455
2314.4614.4695506971080-0.0095506971080379
2414.4814.4879734645402-0.00797346454019099
2514.5314.50665670118680.0233432988132183
2614.5814.56051168797080.0194883120292442
2714.6214.61373004994760.00626995005239195
2814.6214.6547654894877-0.0347654894877323
2914.6114.6490242057221-0.0390242057220558
3014.6514.63257962398070.0174203760192579
3114.6814.67545648041240.00454351958763333
3214.714.7062068117217-0.00620681172171622
3314.7814.72518179904680.0548182009531981
3414.8414.81423465151150.0257653484884788
3514.8914.87848962330030.0115103766996842
3614.8914.9303904836033-0.040390483603348
3715.1314.92372027037710.206279729622947
3815.2515.19778596254260.0522140374574356
3915.3315.32640875514560.00359124485442663
4015.3615.4070018247696-0.0470018247696498
4115.415.4292397935863-0.0292397935863278
4215.415.4644110408576-0.0644110408576157
4315.4115.4537739962293-0.0437739962293016
4415.4715.45654501894140.0134549810586133
4515.5415.51876701740760.0212329825923874
4615.5515.5922734998432-0.0422734998432333
4715.5915.5952923193121-0.00529231931206731
4815.6515.63441832882910.0155816711709349
4915.7515.69699153568030.0530084643197153
5015.8615.80574552246790.0542544775320533
5115.8915.9247052798498-0.0347052798497582
5215.9415.9489739392956-0.00897393929564672
5315.9315.9974919543516-0.0674919543516257
5415.9515.9763461178470-0.026346117847023
5515.9915.9919952359549-0.00199523595487605
5615.9916.0316657363285-0.0416657363285164
5716.0616.02478492380170.0352150761982912
5816.0816.1006004537500-0.0206004537500384
5916.0716.1171984291439-0.0471984291439291
6016.1116.09940393008750.0105960699125269
6116.1516.14115379885290.00884620114711865
6216.1816.1826146887118-0.00261468871182302
6316.316.21218289068240.0878171093176192
6416.4216.34668528807420.0733147119257538
6516.4916.47879271332750.0112072866725192
6616.516.5506435203772-0.0506435203771751
6716.5816.55228008797160.0277199120284202
6816.6416.63685784261450.00314215738553614
6916.6616.6973767485023-0.0373767485022505
7016.8116.71120423309830.0987957669017234
7116.9116.87751968100330.0324803189966829
7216.9216.9828835844290-0.0628835844290236
7316.9516.9824987888248-0.0324987888248316
7417.1117.00713183523280.102868164767180
7517.1617.1841198119041-0.0241198119040860
7617.1617.2301365892728-0.0701365892727779
7717.2717.21855400932630.0514459906737486
7817.3417.33704996423490.00295003576511377
7917.3917.4075371425458-0.0175371425457911
8017.4317.4546410029177-0.0246410029177255
8117.4517.4905717091409-0.0405717091408775
8217.517.5038715677516-0.00387156775157038
8317.5617.55323220471060.0067677952894023
8417.6517.61434986000030.0356501399997171


Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
8517.710237237771817.619742554063517.8007319214801
8617.770474475543517.631525829528217.9094231215588
8717.830711713315317.646866679859118.0145567467714
8817.890948951087017.662666715582718.1192311865913
8917.951186188858817.677882776207318.2244896015102
9018.011423426630517.692062179352218.3307846739089
9118.071660664402317.704986404722218.4383349240824
9218.131897902174017.71654665841818.5472491459301
9318.192135139945817.726691033556218.6575792463353
9418.252372377717617.735399094909318.7693456605258
9518.312609615489317.742668554009718.8825506769689
9618.372846853261117.748507832841918.9971858736802