Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.0336469139053757 |
beta | 0 |
gamma | 0.609625489191882 |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
13 | 16977.5 | 22771.3540372475 | -5793.85403724749 |
14 | 19613.5 | 24798.8462292759 | -5185.34622927591 |
15 | 14570 | 20549.5419977966 | -5979.54199779656 |
16 | 24416.5 | 30466.4280296698 | -6049.92802966979 |
17 | 16825.5 | 22298.1124554551 | -5472.6124554551 |
18 | 13980 | 19394.0713519956 | -5414.07135199558 |
19 | 21450.5 | 5229.8174760041 | 16220.6825239959 |
20 | 27239.5 | 36713.6350510421 | -9474.13505104208 |
21 | 19078.5 | 36976.1513113184 | -17897.6513113184 |
22 | 20459.1 | 12737.9089118714 | 7721.1910881286 |
23 | 20373.5 | 23069.7656636606 | -2696.26566366062 |
24 | 19306.5 | 25517.9179783427 | -6211.41797834274 |
25 | 16723.16 | 17802.5204593696 | -1079.36045936962 |
26 | 11638 | 20347.1209589263 | -8709.12095892627 |
27 | 20917 | 15511.3811551864 | 5405.6188448136 |
28 | 17903.5 | 25769.8773540533 | -7866.37735405335 |
29 | 28218.5 | 17880.5482486593 | 10337.9517513407 |
30 | 15268 | 15542.9711906244 | -274.971190624361 |
31 | 21555 | 14296.9571652921 | 7258.04283470785 |
32 | 23143 | 30342.0463586541 | -7199.04635865411 |
33 | 16691 | 25718.7054146535 | -9027.7054146535 |
34 | 17932.5 | 16871.3145372803 | 1061.18546271967 |
35 | 30512 | 20842.0185279488 | 9669.9814720512 |
36 | 41931.5 | 21635.433307666 | 20296.066692334 |
37 | 10853.5 | 17835.2950710850 | -6981.79507108503 |
38 | 25939.5 | 15686.5021565787 | 10252.9978434213 |
39 | 14900 | 19803.9625156947 | -4903.96251569465 |
40 | 25127.76 | 21896.8613458569 | 3230.89865414311 |
41 | 22063.5 | 25105.3368709417 | -3041.83687094168 |
42 | 25306.5 | 16065.3553257096 | 9241.14467429043 |
43 | 31217.5 | 19577.3292850326 | 11640.1707149674 |
44 | 23201.5 | 27252.9975360085 | -4051.49753600847 |
45 | 38148 | 21658.2742091317 | 16489.7257908683 |
46 | 26264 | 19612.9676845156 | 6651.03231548444 |
47 | 16359 | 28843.3104850334 | -12484.3104850334 |
48 | 27945.5 | 35151.2716774774 | -7205.77167747736 |
49 | 16218.5 | 14356.0255778618 | 1862.47442213818 |
50 | 36003.5 | 22658.0637451364 | 13345.4362548636 |
51 | 20323.5 | 17950.4055583446 | 2373.09444165539 |
52 | 20100.5 | 25080.5112122902 | -4980.01121229021 |
53 | 18741 | 24317.3619506090 | -5576.36195060897 |
54 | 24426.75 | 22428.1713732025 | 1998.57862679745 |
55 | 19174.5 | 27109.7538985344 | -7935.25389853443 |
56 | 13766 | 24882.5963448535 | -11116.5963448535 |
57 | 18999 | 31151.2656571527 | -12152.2656571527 |
58 | 21745 | 22346.1376306901 | -601.137630690089 |
59 | 34469 | 20059.5790421567 | 14409.4209578433 |
60 | 13248 | 30382.0896295068 | -17134.0896295068 |
61 | 16218.5 | 14595.0122228692 | 1623.48777713078 |
62 | 36003.5 | 29653.7767508697 | 6349.72324913032 |
63 | 20323.5 | 18246.780020073 | 2076.71997992701 |
64 | 20100.5 | 21035.0999800472 | -934.599980047198 |
65 | 18741 | 20056.7480673259 | -1315.74806732592 |
66 | 24426.75 | 22773.413548566 | 1653.33645143401 |
67 | 19174.5 | 21591.2251625127 | -2416.72516251267 |
68 | 13766 | 17675.5773732447 | -3909.57737324467 |
69 | 18999 | 23576.613887111 | -4577.61388711099 |
70 | 21745 | 21831.2746635361 | -86.2746635361218 |
71 | 34469 | 28404.9619243286 | 6064.03807567137 |
72 | 13248 | 19863.9690645763 | -6615.96906457627 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
73 | 15481.1355231699 | -926.59263066812 | 31888.863677008 |
74 | 33269.563690088 | 16852.5504473886 | 49686.5769327874 |
75 | 19131.6345724171 | 2705.34148932357 | 35557.9276555106 |
76 | 20076.0701545607 | 3640.50247065021 | 36511.6378384712 |
77 | 18904.6251735400 | 2459.78811952451 | 35349.4622275554 |
78 | 23414.6892087322 | 6960.5880064836 | 39868.7904109807 |
79 | 19779.1430213657 | 3315.78288394064 | 36242.5031587907 |
80 | 15065.3512252687 | -1407.26264306659 | 31537.965093604 |
81 | 20704.3836417496 | 4222.52123800438 | 37186.2460454948 |
82 | 21758.9754462404 | 5267.86969384446 | 38250.0811986364 |
83 | 31958.7976800713 | 15458.4537570670 | 48459.1416030756 |
84 | 15743.8056112086 | -765.771313053903 | 32253.3825354712 |