Estimated Parameters of Exponential Smoothing
ParameterValue
alpha1
beta0
gammaFALSE


Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
38.86828.941-0.0727999999999991
48.73318.857-0.123899999999999
58.31888.7219-0.4031
68.34628.30760.0386000000000006
78.30878.335-0.0262999999999991
88.38368.29750.0861000000000001
98.84128.37240.468800000000002
109.50018.830.6701
1110.18839.48890.699400000000001
1210.293110.17710.116000000000001
1310.194510.2819-0.0874000000000006
1410.301410.18330.1181
1510.067510.2902-0.222699999999998
169.671510.0563-0.3848
179.50199.6603-0.1584
189.45979.4907-0.0309999999999988
199.43629.4485-0.0122999999999998
209.59199.4250.166900000000002
2110.01679.58070.436
2210.32210.00550.3165
2311.16610.31080.855200000000002
2411.545411.15480.390600000000001
2511.371211.5342-0.163
2611.072311.36-0.287699999999999
2710.81311.0611-0.248099999999999
2810.301610.8018-0.5002
2910.422710.29040.132300000000001
3010.316210.4115-0.0952999999999999
3110.451910.3050.1469
3210.856710.44070.416
3311.271610.84550.4261
3411.434111.26040.173700000000002
3512.127311.42290.7044
3611.981412.1161-0.134699999999999
3711.835211.9702-0.135
3811.984711.8240.1607
3911.54511.9735-0.4285
4011.528511.5338-0.00530000000000008
4111.553911.51730.0366000000000017
4211.62211.54270.0792999999999999
4311.657811.61080.0470000000000006
4411.676711.64660.0301000000000009
4511.875211.66550.2097
4613.264311.8641.4003
4714.229713.25310.976599999999999
4814.30814.21850.089500000000001
4913.791514.2968-0.5053
5013.763313.7803-0.0169999999999995
5113.977513.75210.2254
5213.647813.9663-0.318499999999998
5313.224713.6366-0.411899999999999
5413.097113.2135-0.116400000000001
5513.103913.08590.0180000000000007
5613.20613.09270.113300000000001
5713.790113.19480.595300000000002
5814.645713.77890.8668
5915.576414.63450.9419
6015.610215.56520.0450000000000017
6115.885515.5990.2865
6216.013715.87430.1394
6315.618616.0025-0.383899999999997
6415.38415.6074-0.2234
6515.275115.3728-0.0976999999999997
6615.091215.2639-0.172699999999999
6714.922215.08-0.1578
6815.623114.9110.712100000000001
6916.673715.61191.0618
7017.680516.66251.018
7119.191917.66931.5226
7219.171119.1807-0.0096000000000025
7318.565819.1599-0.594100000000001
7418.128518.5546-0.426100000000002
7516.79118.1173-1.3263
7616.946816.77980.166999999999998
7717.316416.93560.380800000000001
7817.181617.3052-0.1236
7916.762717.1704-0.407700000000002
8017.23916.75150.487500000000001
8117.883817.22780.655999999999999
8218.903817.87261.0312
8320.027418.89261.1348
8420.008720.0162-0.00749999999999673
8519.636619.9975-0.360900000000001
8619.816319.62540.190899999999999
8718.860219.8051-0.944899999999997
8817.920618.849-0.928399999999996
8917.688917.9094-0.220499999999998
9017.8417.67770.162299999999998
9117.67817.8288-0.1508
9217.725817.66680.0589999999999975
9318.586517.71460.871900000000004
9419.980418.57531.4051
9521.158419.96921.1892
9621.292121.14720.144900000000003
9720.944521.2809-0.336400000000001
9820.573120.9333-0.360200000000003
9919.327420.5619-1.2345
10017.786619.3162-1.5296
10117.748317.7754-0.0270999999999972
10217.564817.7371-0.172299999999996
10317.476317.5536-0.0773000000000046
10417.726417.46510.261300000000002
10518.573617.71520.858399999999996
10619.923618.56241.3612
10721.328619.91241.4162
10820.724921.3174-0.592499999999998
10920.333420.7137-0.380300000000002
11019.765820.3222-0.556400000000004
11118.756919.7546-0.997699999999995
11217.696318.7457-1.0494
11317.797817.68510.1127
11418.177117.78660.390499999999999
11518.373818.16590.207899999999999
11618.199618.3626-0.163
11718.844318.18840.655899999999999
11820.100118.83311.267
11921.245820.08891.1569
12020.838121.2346-0.3965
12120.196720.8269-0.630200000000002
12219.815920.1855-0.369599999999998
12318.578419.8047-1.2263
12419.2118.56720.642800000000001
12519.341919.19880.1431
12619.1219.3307-0.210699999999999
12719.156319.10880.0474999999999994
12818.978319.1451-0.166799999999999
12920.291318.96711.3242
13022.543920.28012.2638
13123.282122.53270.749400000000001
13222.619123.2709-0.651799999999998
13322.159922.6079-0.448
13421.276622.1487-0.8721
13519.084621.2654-2.1808
13618.909619.0734-0.163799999999998
13718.809518.8984-0.0889000000000024
13820.116418.79831.3181
13920.776220.10520.671000000000003
14020.904420.7650.139399999999998
14122.002620.89321.1094
14223.640121.99141.6487
14325.0423.62891.4111
14424.718525.0288-0.310299999999998
14524.175224.7073-0.532099999999996
14624.138224.164-0.0258000000000003
14722.394924.127-1.7321
14821.374322.3837-1.0094
14921.491121.36310.127999999999997
15021.218721.4799-0.261200000000002
15121.213721.20750.00620000000000331
15221.673521.20250.471
15322.509621.66230.847299999999997
15424.309722.49841.8113
15525.798924.29851.5004
15625.437625.7877-0.350100000000001
15723.87825.4264-1.5484
15823.696623.8668-0.170199999999998
15923.354423.6854-0.331000000000003
16021.199323.3432-2.1439
16122.043121.18810.855
16222.020322.0319-0.0116000000000014
16321.88622.0091-0.123099999999997
16421.977121.87480.1023
16523.075921.96591.11
16624.985923.06471.9212
16726.261424.97471.2867
16826.112726.2502-0.137499999999999
16925.629626.1015-0.471900000000002
17025.292625.6184-0.325800000000001
17122.814625.2814-2.4668
17222.297422.8034-0.505999999999997
17322.886822.28620.6006
17422.461222.8756-0.414399999999997
17522.316522.45-0.133500000000002
17622.731922.30530.426599999999997
17723.269222.72070.548500000000001
17824.943223.2581.6852
17927.827224.9322.8952
18027.405927.816-0.410100000000003
18126.623227.3947-0.7715
18226.877926.6120.265899999999998
18325.10526.8667-1.7617
18423.60125.0938-1.4928
18523.537423.5898-0.0523999999999951
18623.524823.5262-0.00140000000000384
18722.946523.5136-0.567099999999996
18823.663322.93530.728000000000002
18925.593223.65211.9411
19027.768325.5822.1863
19129.469127.75711.712
19228.347229.4579-1.1107
19328.387928.3360.0518999999999998
19427.969628.3767-0.4071
19526.007527.9584-1.9509
19624.253325.9963-1.743
19724.499924.24210.2578
19823.898824.4887-0.5899
19923.668323.8876-0.2193
20023.942723.65710.285599999999999
20126.015523.93152.084
20228.952926.00432.9486
20330.30228.94171.3603
20429.87430.2908-0.416799999999999
20528.225729.8628-1.6371
20628.081128.2145-0.133400000000002
20726.339828.0699-1.7301
20825.484726.3286-0.843900000000001
20925.482325.47350.00879999999999725
21024.969725.4711-0.5014
21125.228224.95850.2697
21225.925725.2170.7087
21328.781825.91452.8673
21427.955228.7706-0.8154
21533.347527.9445.40349999999999
21632.783433.3363-0.552899999999994
21731.658632.7722-1.1136
21831.661331.64740.0139000000000031
21929.183931.6501-2.4662
22028.882529.1727-0.290199999999999
22127.633428.8713-1.2379
22227.751127.62220.128900000000002
22327.379227.7399-0.360699999999998
22427.774827.3680.406799999999997
22531.432927.76363.6693
22633.273531.42171.8518
22735.096233.26231.83390000000001
22834.953735.085-0.131300000000003
22931.830734.9425-3.1118
23030.998431.8195-0.821099999999998
23128.62930.9872-2.3582
23226.437928.6178-2.1799
23325.440826.4267-0.985899999999997
23424.668125.4296-0.761500000000002
23524.099424.6569-0.557500000000001
23624.604324.08820.516099999999998
23727.249224.59312.6561
23829.551127.2382.3131
23929.852229.53990.312299999999997
24031.698929.8411.8579
24129.635731.6877-2.052
24230.519729.62450.895200000000003
24332.782330.50852.2738
24424.994232.7711-7.7769
24523.518724.983-1.4643
24624.024923.50750.517399999999999
24724.569224.01370.555499999999999
24824.40224.558-0.155999999999999
24926.708924.39082.3181
25031.687426.69774.9897
25132.880131.67621.2039
25232.790632.8689-0.0782999999999987
25330.878532.7794-1.9009
25430.302430.8673-0.564900000000002
25528.367930.2912-1.9233
25625.657828.3567-2.69889999999999
25725.159825.6466-0.486799999999999
25824.614325.1486-0.534300000000002
25924.52824.6031-0.0750999999999991
26025.290524.51680.773700000000005
26130.001625.27934.7223
26234.272829.99044.2824
26334.440834.26160.179200000000009
26434.190734.4296-0.238900000000001
26533.663634.1795-0.515899999999995
26633.907333.65240.254899999999999
26730.217533.8961-3.6786
26828.527430.2063-1.6789
26925.950528.5162-2.5657
27026.239825.93930.300499999999996
27126.281926.22860.0533000000000001
27226.736226.27070.465500000000002
27328.839526.7252.1145
27431.095128.82832.2668
27533.701531.08392.6176
27633.809133.69030.1188
27732.112633.7979-1.6853
2783232.1014-0.101399999999998
27929.12231.9888-2.8668
28026.812429.1108-2.2984
28125.465426.8012-1.3358
28223.833125.4542-1.6211
28324.71423.82190.892099999999999
28428.328824.70283.626
28529.639128.31761.3215
28632.454229.62792.8263
28733.565732.4431.1227
28833.185633.5545-0.368899999999996
28933.29733.17440.122599999999998
29033.5133.28580.224200000000003
29131.378933.4988-2.11989999999999
29229.455531.3677-1.9122
29327.269929.4443-2.1744
29427.258627.2587-9.99999999962142e-05
29527.859127.24740.611700000000003
29629.636227.84791.7883
29730.958729.6251.3337
29831.863330.94750.915800000000001
29933.818831.85211.9667
30033.753133.8076-0.0544999999999973
30133.610333.7419-0.131599999999999
30232.905233.5991-0.693899999999999
30329.500532.894-3.3935
30427.363429.4893-2.1259
30527.229827.3522-0.122399999999995
30626.521127.2186-0.697500000000002
30726.522826.50990.0128999999999984
30827.299126.51160.787499999999998
30929.172627.28791.8847
31030.29729.16141.1356
31132.528730.28582.2429
31232.48732.5175-0.0304999999999964
31332.419732.4758-0.0561000000000007
31430.85432.4085-1.5545
31528.699530.8428-2.1433
31627.788128.6883-0.900199999999998
31726.560927.7769-1.216
31825.943126.5497-0.6066
31925.557825.9319-0.374099999999999
32027.127525.54661.5809
32130.255627.11633.1393
32234.097630.24443.8532
32334.561434.08640.475000000000001
32434.294834.5502-0.255399999999995
32533.341834.2836-0.941800000000001
32631.818733.3306-1.5119
32729.081831.8075-2.7257
32827.344429.0706-1.7262
32926.623327.3332-0.709899999999998
33026.186926.6121-0.425199999999997
33126.295326.17570.119600000000002
33228.704326.28412.4202
33332.065328.69313.3722
33434.540132.05412.486
33534.663634.52890.134700000000002
33634.255734.6524-0.396700000000003
33732.052634.2445-2.1919
33830.689232.0414-1.3522
33928.01230.678-2.666
34026.152828.0008-1.848
34123.227626.1416-2.914
34224.24423.21641.0276
34324.814124.23280.581300000000002
34427.863224.80293.0603
34529.623327.8521.7713
34632.424529.61212.8124
34733.341732.41330.928400000000003
34833.044233.3305-0.286300000000004
34932.052633.033-0.980399999999996
35030.218232.0414-1.8232
35128.929230.207-1.2778
35226.822128.918-2.0959
35326.103226.8109-0.707699999999996
35425.979226.092-0.1128
35527.144325.9681.1763
35629.499327.13312.3662
35731.65629.48812.1679
35833.366531.64481.72170000000001
35935.052133.35531.6968
36034.407635.0409-0.633299999999998
36133.06934.3964-1.3274
36231.581633.0578-1.4762
36330.069531.5704-1.5009
36429.003530.0583-1.0548
36528.681328.9923-0.311
36628.35928.6701-0.311099999999996
36730.044728.34781.6969
36831.507330.03351.4738
36934.1631.49612.6639
37035.5734.14881.42120000000001
37136.4235.55880.861200000000004
37235.1236.4088-1.2888
37333.1435.1088-1.96879999999999
37430.2933.1288-2.8388
37528.230.2788-2.0788
37626.528.1888-1.6888
37725.4726.4888-1.0188
37824.9625.4588-0.498799999999996
37925.624.94880.651200000000003
38027.7625.58882.1712
38130.1327.74882.3812
38232.3530.11882.2312
38332.832.33880.461199999999998
38432.5432.7888-0.248799999999996
38529.7832.5288-2.7488
38628.7929.7688-0.9788
38726.828.7788-1.9788
38825.4126.7888-1.3788
38924.3425.3988-1.0588
39024.3924.32880.0611999999999995
3912524.37880.621200000000002
39226.2724.98881.2812
39327.8826.25881.6212
39429.3527.86881.4812
39529.8329.33880.491199999999999
39629.4629.8188-0.358799999999995


Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
39729.448826.652436365036732.2451636349633
39829.437625.482944622107933.3922553778921
39929.426424.582956107805534.2698438921945
40029.415223.822472730073335.0079272699267
40129.40423.151140822413635.6568591775864
40229.392822.543135959065436.2424640409346
40329.381621.983117246582436.7800827534176
40429.370421.461089244215937.2797107557841
40529.359220.9701090951137.74829090489
40629.34820.505121747448238.1908782525518
40729.336820.062311045432338.6112889545677
40829.325619.63871221561139.0124877843889