Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.0139967457219063
beta0.847436182319472
gamma0.541338263720888


Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
1381.181.2302933216304-0.130293321630418
147877.95588066423670.0441193357632983
15111.9112.620478056834-0.720478056834409
16117.6119.595572747763-1.99557274776254
17101102.824770834374-1.8247708343736
1898.399.5280894658857-1.22808946588569
199188.8554068793222.14459312067804
2086.887.1664294673046-0.366429467304556
21108.8126.824045205571-18.0240452055706
22110.1116.638401480528-6.53840148052809
2393.889.52683579273584.2731642072642
24100.692.02658609433418.57341390566586
2575.777.7477073283794-2.04770732837945
266974.5587739469819-5.55877394698187
27116106.9363902689019.06360973109861
2894.5112.920850512344-18.4208505123442
29105.196.52655528131098.57344471868907
3095.393.66523654055181.63476345944822
3179.785.1619451307097-5.46194513070972
3276.181.9778720266608-5.87787202666077
33111.1109.9701760895791.12982391042125
34106.3106.2286921360860.0713078639142566
3589.586.17456345836873.32543654163126
3696.890.55669418770346.24330581229664
3767.871.7337317490812-3.93373174908125
3862.566.8464832183766-4.34648321837656
3990.1104.201390827916-14.1013908279162
4093.695.3749338024034-1.77493380240345
4194.293.49077261836560.709227381634363
4293.287.00274510984786.19725489015218
438175.5111360680735.48886393192699
4473.772.41358575674281.28641424325721
4597.7101.645975462185-3.94597546218451
4697.597.5188083476808-0.0188083476808174
4782.780.62184729978182.07815270021817
4888.885.94320014243542.85679985756458
4968.563.60309706546984.89690293453022
5061.159.03958581293812.06041418706186
5189.688.66413503112970.935864968870291
5287.687.04180208292010.558197917079895
5390.886.83557022993063.96442977006942
5484.383.89536280487660.404637195123371
557573.01651596604221.98348403395775
5678.468.170648395544710.2293516044553
5783.593.37569854674-9.87569854674004
589391.68726646967361.31273353032635
5979.377.13673565391152.16326434608845
6083.982.84890598952721.05109401047284
616562.91094667168812.08905332831195
6260.357.26781051801663.03218948198338
6380.685.1926904328103-4.59269043281026
6486.583.57195529616522.92804470383477
6578.785.3794124609319-6.6794124609319
6680.780.69677879761750.00322120238250534
6770.671.1495631168392-0.549563116839167
6867.270.7347790602851-3.53477906028509
698884.27574811500213.72425188499793
7089.188.58511849477960.514881505220359
716975.0677273225316-6.06772732253161
7284.179.7587557889974.34124421100304


Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
7361.21555226132155.153495968146467.2776085544955
7456.212367473556150.144569545998962.2801654011133
7578.787819625449372.688277351846384.8873618990522
7681.038927523342174.895174143595387.182680903089
7777.71700554696671.523562005997183.9104490879348
7876.697536883080970.432561647632882.9625121185289
7967.30126385476961.006580829506173.5959468800319
8065.364696937983758.991332750225271.7380611257423
8181.961663654105275.243277650573388.6800496576371
8284.337900275009277.367152283856791.3086482661617
8368.127650462827861.287318374330374.9679825513254
8477.969849862389457.014997392793598.9247023319854