Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.0856933077970092
beta0.133966475305803
gamma0.210070820415668


Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
138.6688.90730328460187-0.239303284601871
1413.08213.4491526080878-0.367152608087789
1538.15738.8689753281552-0.711975328155155
1658.26358.7788482637078-0.515848263707817
1781.15381.3648054271869-0.211805427186917
1888.47688.927276416743-0.451276416742985
1972.32979.2169136883903-6.88791368839036
2075.84569.50139269706776.34360730293231
2161.10858.70101054810812.40698945189192
2237.66532.83570178598564.82929821401444
2312.75515.1771948283939-2.42219482839394
242.7937.54035851209682-4.74735851209682
2512.9357.900451592575585.03454840742442
2619.53312.59567824931816.9373217506819
2733.40438.4897169640234-5.08571696402337
2852.07457.9903263769801-5.91632637698005
2970.73579.9827780515775-9.24777805157747
3069.70286.694324305443-16.9923243054429
3161.65674.7322227784386-13.0762227784386
3282.99367.236855635970415.7561443640296
3353.9956.9540077741217-2.96400777412166
3432.28332.20650788191770.076492118082264
3515.68613.82510626006361.86089373993636
362.7136.34659467776843-3.63359467776843
3712.8428.567829006388494.27417099361151
3819.24413.32541240009355.91858759990655
3948.48835.681922463767912.8060775362321
4054.46456.6368096885508-2.17280968855079
4184.19278.73664570308565.45535429691436
4284.45885.9225951108235-1.46459511082354
4385.79376.25933569664189.53366430335817
4475.16377.0882215200617-1.92522152006171
4568.21261.15890327142387.05309672857624
4649.23335.869733532178813.3632664678212
4724.30216.53852749538427.7634725046158
485.4026.85831393575046-1.45631393575046
4915.05812.07949107129332.97850892870668
5033.55918.596043912744914.9629560872551
5170.35851.670217885329918.6877821146701
5285.93477.9185619173658.01543808263507
5394.452114.34047554971-19.8884755497099
54129.305122.437032486426.86796751358001
55113.882114.427829459730-0.545829459730129
56107.256113.081087749935-5.82508774993509
5794.27493.40007808416750.873921915832483
5857.84257.63102823219550.210971767804516
5926.61126.44328449916220.167715500837801
6014.5219.351595898711445.16940410128856


Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
6119.418445646790615.206593500623823.6302977929575
6232.321965269489327.477870791493837.1660597474849
6378.460375948431570.086117951440786.8346339454222
64109.41272297222797.5294342771035121.296011667351
65150.387317610432133.341551005239167.433084215626
66170.851430593446150.344425896385191.358435290508
67156.846912860106136.833576216481176.860249503732
68153.451626386386132.794137037388174.109115735384
69128.706729261245110.376448001314147.037010521176
7079.195354419452966.939799757236791.450909081669
7136.312660114152229.354629568333943.2706906599705
7214.105845889762111.782879833976116.4288119455482