Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.322318927826622 |
beta | 0 |
gamma | 0.338239344476265 |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
13 | 2395029 | 2203500.6160181 | 191528.383981902 |
14 | 2483862 | 2354144.51729817 | 129717.482701827 |
15 | 3120231 | 3024971.32671285 | 95259.6732871505 |
16 | 3360606 | 3305337.8863403 | 55268.1136596985 |
17 | 3177203 | 3160208.73307108 | 16994.2669289159 |
18 | 3062783 | 3068546.80818926 | -5763.80818926031 |
19 | 4242509 | 4251562.93097811 | -9053.9309781082 |
20 | 4026394 | 4335650.44624688 | -309256.446246878 |
21 | 3192481 | 3272999.23247284 | -80518.2324728402 |
22 | 3118695 | 3139278.4121909 | -20583.4121909016 |
23 | 2782482 | 2881878.36115006 | -99396.3611500566 |
24 | 3209833 | 3138729.54666279 | 71103.4533372121 |
25 | 2630190 | 2572471.79654668 | 57718.2034533215 |
26 | 2592882 | 2671481.48897259 | -78599.488972587 |
27 | 3785309 | 3320809.75094113 | 464499.249058865 |
28 | 3231539 | 3737656.90952928 | -506117.909529283 |
29 | 3421369 | 3388407.38733092 | 32961.6126690833 |
30 | 3312134 | 3287221.1879598 | 24912.8120402023 |
31 | 4647303 | 4565262.47939346 | 82040.5206065373 |
32 | 4289177 | 4606439.06063027 | -317262.060630268 |
33 | 3463853 | 3516916.71738083 | -53063.7173808296 |
34 | 3304422 | 3395459.5595987 | -91037.5595986987 |
35 | 3006121 | 3074556.92854807 | -68435.9285480664 |
36 | 3464238 | 3404200.55155149 | 60037.4484485136 |
37 | 2921118 | 2783641.23042907 | 137476.769570934 |
38 | 2624018 | 2879134.50493975 | -255116.504939751 |
39 | 3500718 | 3640546.3209408 | -139828.320940798 |
40 | 3939351 | 3634876.18096818 | 304474.819031818 |
41 | 3467672 | 3663130.60759224 | -195458.607592242 |
42 | 3343628 | 3478396.57140973 | -134768.571409733 |
43 | 4852445 | 4768456.26608866 | 83988.7339113439 |
44 | 4597807 | 4712411.15555613 | -114604.155556130 |
45 | 3653145 | 3696038.55611583 | -42893.5561158336 |
46 | 3572079 | 3561063.10409942 | 11015.8959005778 |
47 | 3334861 | 3257637.3131016 | 77223.6868984029 |
48 | 3695369 | 3692096.49054781 | 3272.50945219304 |
49 | 3075704 | 3022407.60464566 | 53296.3953543375 |
50 | 2852998 | 2995061.36786489 | -142063.367864885 |
51 | 3942704 | 3883588.37537769 | 59115.6246223105 |
52 | 4004560 | 4052379.9997273 | -47819.9997273041 |
53 | 3822145 | 3838502.99915632 | -16357.9991563158 |
54 | 3760085 | 3714367.88751018 | 45717.1124898195 |
55 | 5267816 | 5241009.38965736 | 26806.6103426442 |
56 | 5271333 | 5105758.50216002 | 165574.497839981 |
57 | 4144142 | 4087212.2634823 | 56929.736517698 |
58 | 4109749 | 3980562.71638617 | 129186.283613828 |
59 | 3896808 | 3689704.6973044 | 207103.302695602 |
60 | 4211074 | 4199356.89940781 | 11717.1005921895 |
61 | 3402318 | 3449644.37776311 | -47326.3777631079 |
62 | 3279817 | 3330476.98177587 | -50659.9817758738 |
63 | 4706628 | 4424002.23306473 | 282625.766935269 |
64 | 4079499 | 4654716.02486776 | -575217.024867761 |
65 | 4344530 | 4253790.12636495 | 90739.873635048 |
66 | 4048625 | 4162635.76029505 | -114010.760295053 |
67 | 5394915 | 5785139.51096908 | -390224.510969085 |
68 | 5611967 | 5535331.23696055 | 76635.7630394455 |
69 | 4145481 | 4384473.44600513 | -238992.446005126 |
70 | 4025610 | 4192393.20272735 | -166783.202727349 |
71 | 3552218 | 3815830.19195126 | -263612.191951261 |
72 | 3910443 | 4121881.72220775 | -211438.722207753 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
73 | 3315247.21085082 | 3119057.91779925 | 3511436.50390239 |
74 | 3214540.73794767 | 2989427.67937013 | 3439653.79652520 |
75 | 4368723.17218181 | 4077817.83488473 | 4659628.50947889 |
76 | 4310497.42994896 | 4001622.09142496 | 4619372.76847296 |
77 | 4248056.03945433 | 3923094.05599499 | 4573018.02291366 |
78 | 4083022.85264373 | 3748926.58617268 | 4417119.11911478 |
79 | 5670625.30932799 | 5220459.54405919 | 6120791.07459679 |
80 | 5652529.9648649 | 5191774.79468588 | 6113285.13504393 |
81 | 4386470.6409973 | 3999729.44905311 | 4773211.83294148 |
82 | 4283465.14089223 | 3889287.06706244 | 4677643.21472202 |
83 | 3920467.14972206 | 3538392.91773748 | 4302541.38170663 |
84 | 4348079.37232493 | 3965400.05443253 | 4730758.69021734 |