Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.632771665684048
beta-6.91178884959509e-18
gammaFALSE


Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
39797.7-0.700000000000003
496.597.2570598340212-0.757059834021163
598.496.77801382182511.62198617817491
6106.397.80436071750538.49563928249466
7103.1103.180160537340-0.0801605373403191
8102.4103.129437220605-0.729437220605348
995102.667870015511-7.66787001551097
1098.197.81585913354730.284140866452660
11106.197.99565542290158.1043445770985
1299.1103.123855040230-4.02385504022959
13101.2100.5776735839520.622326416047642
1495.5100.971464106834-5.47146410683401
1599.897.50927665022222.29072334977782
1697.198.9587814798824-1.85878147988244
1797.597.7825972267146-0.282597226714557
1896.897.6037777088487-0.803777708848699
1997.797.09516994918080.604830050819203
20100.997.47788926789343.42211073210657
2194.399.6433039760038-5.34330397600377
2299.596.26221261885173.23778738114834
23100.898.31099273315172.48900726684830
249799.885966007295-2.88596600729500
2599.298.05980848975141.14019151024860
2610198.78128937089022.21871062910978
27102.3100.1852265913432.11477340865709
2897101.523395283683-4.52339528368319
2991.298.6611189154796-7.4611189154796
3097.693.93993427146483.66006572853517
3195.796.2559201590231-0.555920159023117
32100.595.90414963401074.59585036598928
3394.498.8122735253324-4.41227352533240
34102.996.02031185725426.8796881427458
35105.1100.3735835827264.72641641727374
3698.8103.364325971801-4.564325971801
37100.7100.4761498239000.223850176100484
3899.6100.617795872694-1.01779587269429
39107.799.97376348300327.72623651699683
40102.9104.862707033332-1.96270703333217
41101.6103.620761634601-2.02076163460079
42102.7102.3420809291240.357919070875980
43110.5102.5685619757827.9314380242177
44109.8107.5873512256362.21264877436367
4594.3108.987452676164-14.6874526761642
46102.599.69364878161222.80635121838785
47105101.4694283165663.53057168343412
48102.3103.703474041509-1.40347404150943
49107.7102.8153954345194.88460456548083
50100.3105.906234801626-5.60623480162639
5199.5102.358768267985-2.85876826798538
5295100.549820709248-5.54982070924757
5397.797.03805141480920.661948585190842
5496.397.4569137236576-1.15691372365757
5597.896.7248514996861.07514850031397
56106.497.40517500708748.9948249929126
5796.1103.096845400389-6.99684540038922
58106.298.66943988185127.53056011814884
59114.7103.43456495134611.2654350486539
60111.9110.5630130517381.33698694826174
61121111.4090205099889.59097949001232
62117.7117.4779205774240.222079422575689
63115.4117.618446143562-2.21844614356168
64114.3116.214676282070-1.91467628206981
65109.5115.003123381819-5.50312338181875
66108.1111.520902833040-3.42090283304047
67108.2109.356252449234-1.15625244923416
6899.1108.624608660981-9.524608660981
69101.2102.597706173583-1.39770617358333
7098.1101.713277309988-3.61327730998813
7195.599.4268978079686-3.92689780796856
7297.996.94206814104930.957931858950744
7398.297.54822027904930.651779720950657
7498.797.96064801873440.739351981265628
7595.698.4284890034466-2.82848900344663
7695.896.6387013053667-0.838701305366698
7794.496.1079948833584-1.70799488335842
7896.595.02722411603591.47277588396412
79103.395.95915496531127.34084503468884
80104.3100.6042337054403.69576629456031
81104.5102.9428098996281.55719010037242
82102.3103.928155673227-1.62815567322694
83103.8102.8979048958860.902095104113798
84103.1103.468725117522-0.36872511752172
85102.2103.235406310728-1.03540631072795
86106.3102.5802305348293.71976946517114
87102.1104.933995255266-2.83399525526586
8894103.140723357051-9.14072335705059
89102.697.35673261285265.24326738714738
90102.6100.6745236510451.92547634895529
91106.7101.8929105276084.80708947239162
92107.9104.9347005401462.96529945985412
93109.3106.8110580186102.48894198139021
94105.9108.385989981965-2.48598998196502
95109.1106.8129259602032.28707403979683
96108.5108.2601216099080.239878390091846
97111.7108.4119098583683.28809014163183
98109.8110.492520134208-0.692520134207854
99109.1110.054313015365-0.954313015365415
100108.5109.450450779049-0.950450779048666
101108.5108.849032456439-0.349032456439346
102106.2108.628174607600-2.42817460760043
103117.1107.09169451657710.0083054834226
104109.8113.424666647997-3.6246666479975
105115.2111.1310802955954.0689197044053
106115.9113.7057773944862.19422260551411
107119.2115.0942192874594.10578071254136
108121117.6922409878673.30775901213312
109118.6119.785297167656-1.18529716765578
110117.6119.035274704548-1.43527470454765
111114.6118.127073539037-3.52707353903685
112110.6115.895241340750-5.29524134075037
113102.5112.544562657365-10.0445626573647
114101.6106.188648013596-4.58864801359627
115107.4103.2850815667954.11491843320485
116105.8105.888885357928-0.0888853579281772
117102.8105.832641221937-3.03264122193704
118104103.9136717845100.0863282154901697
119100.4103.968297833221-3.56829783322107
120100.6101.710380069637-1.11038006963700


Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
121101.00776302343092.3740976712982109.641428375563
122101.00776302343090.790813232796111.224712814065
123101.00776302343089.4219117972113112.593614249650
124101.00776302343088.1984759922245113.817050054636
125101.00776302343087.0821133129301114.933412733931
126101.00776302343086.0488323975035115.966693649357
127101.00776302343085.082453259315116.933072787546
128101.00776302343084.1714517678505117.844074279010
129101.00776302343083.3072753943704118.708250652490
130101.00776302343082.4833697022379119.532156344623
131101.00776302343081.694580128579120.320945918282
132101.00776302343080.936766059111121.078759987750