Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.27909312390333
beta0.261615313687514
gamma0.364635897888864


Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
131414.0102512035019-0.0102512035018787
141413.95719333846260.0428066615374423
151514.91732369169090.0826763083090931
161615.84359587715740.156404122842602
171615.76128001377600.238719986224041
181514.69693631136870.30306368863131
191513.71399375246701.28600624753303
201313.3134495246946-0.313449524694612
211514.5238272704860.476172729513991
221514.88718693335640.112813066643646
231513.99142073493201.00857926506798
241312.13907362445470.860926375545342
251617.6503731751283-1.65037317512833
261617.3562525620149-1.35625256201488
271418.257879186246-4.257879186246
281617.9155792109460-1.91557921094597
291516.9175619900258-1.91756199002584
301414.7711881886316-0.771188188631637
311513.25455660616841.74544339383157
321512.19896468284552.8010353171545
331414.2497661341261-0.24976613412608
341314.0482751376354-1.04827513763537
351212.7987471649270-0.798747164927015
361310.33740501560262.66259498439742
371214.8295877213844-2.82958772138442
38913.8541932204021-4.85419322040207
391012.1817400869882-2.18174008698822
40811.9738044342622-3.97380443426224
41119.709637003918811.29036299608119
4288.61034823859755-0.610348238597554
4387.411977315897060.588022684102945
4486.23888887266141.76111112733860
4546.31100840793949-2.31100840793949
4664.732461790159541.26753820984046
4784.11376580643483.8862341935652
48104.329891901586515.67010809841349
4957.08645151102966-2.08645151102966
5066.06859837485366-0.0685983748536616
5156.40780863830277-1.40780863830277
5296.075598777547332.92440122245267
5387.781879979356830.218120020643167
5467.01780839356718-1.01780839356718
5596.829164448497232.17083555150277
56117.309916011393813.69008398860619
57117.543221442314183.45677855768582
58810.6103616524784-2.61036165247845
591110.96402440535540.0359755946446274
601110.83276638509010.167233614909858
61139.872678259200923.12732174079908


Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
6211.73338040376779.4145735752861514.0521872322493
6312.54442816708029.7706287031289215.3182276310314
6416.344772104412112.604181151581220.0853630572430
6517.553211779887113.039535386333922.0668881734404
6615.644901320814110.986727894444120.3030747471841
6718.750838545172112.703831784047524.7978453062966
6819.670925068189412.718886501558326.6229636348205
6917.598593529597710.734376560398724.4628104987967
7017.986123799725110.391147905262625.5810996941876
7121.265040498464011.696452011001230.8336289859267
7220.875179829970910.817054239642530.9333054202994
7320.13028094505649.6311298713929130.6294320187199