Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 1 |
beta | 0.193961188765786 |
gamma | FALSE |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
3 | 2149 | 2026 | 123 |
4 | 2124 | 2161.85722621819 | -37.8572262181915 |
5 | 2205 | 2129.51439361754 | 75.4856063824641 |
6 | 2489 | 2225.15567156618 | 263.844328433815 |
7 | 2573 | 2560.33123115832 | 12.6687688416819 |
8 | 2702 | 2646.78848062305 | 55.21151937695 |
9 | 2718 | 2786.49737255497 | -68.4973725549685 |
10 | 2646 | 2789.21154074687 | -143.211540746874 |
11 | 2712 | 2689.43406005863 | 22.5659399413698 |
12 | 2634 | 2759.81097659528 | -125.810976595276 |
13 | 2614 | 2657.40853001507 | -43.4085300150714 |
14 | 2637 | 2628.98895993077 | 8.01104006922696 |
15 | 2649 | 2653.54279078585 | -4.54279078585068 |
16 | 2579 | 2664.66166568471 | -85.6616656847127 |
17 | 2505 | 2578.04662717685 | -73.0466271768482 |
18 | 2462 | 2489.8784165343 | -27.8784165342959 |
19 | 2467 | 2441.4710857224 | 25.5289142776041 |
20 | 2447 | 2451.42270428358 | -4.42270428358006 |
21 | 2656 | 2430.56487130318 | 225.435128696823 |
22 | 2626 | 2683.29053685478 | -57.2905368547808 |
23 | 2483 | 2642.1783962214 | -159.178396221398 |
24 | 2540 | 2468.30396526446 | 71.6960347355362 |
25 | 2503 | 2539.21021339156 | -36.2102133915614 |
26 | 2467 | 2495.18683735667 | -28.1868373566717 |
27 | 2513 | 2453.71968487542 | 59.2803151245762 |
28 | 2443 | 2511.2177652674 | -68.2177652673968 |
29 | 2293 | 2427.98616642119 | -134.986166421187 |
30 | 2071 | 2251.8040891152 | -180.804089115198 |
31 | 2030 | 1994.7351130567 | 35.2648869433015 |
32 | 2052 | 1960.57513244991 | 91.4248675500876 |
33 | 1864 | 2000.30800844268 | -136.308008442682 |
34 | 1670 | 1785.86954508684 | -115.869545086842 |
35 | 1811 | 1569.39535038005 | 241.604649619952 |
36 | 1905 | 1757.25727543167 | 147.742724568325 |
37 | 1863 | 1879.91362992044 | -16.9136299204433 |
38 | 2014 | 1834.63304215473 | 179.36695784527 |
39 | 2198 | 2020.4232705237 | 177.576729476299 |
40 | 2962 | 2238.86626407006 | 723.133735929935 |
41 | 3047 | 3143.12614312768 | -96.1261431276789 |
42 | 3033 | 3209.48140213516 | -176.481402135164 |
43 | 3504 | 3161.25085958197 | 342.749140418025 |
44 | 3801 | 3698.73089030591 | 102.269109694093 |
45 | 3858 | 4015.56712839619 | -157.567128396191 |
46 | 3674 | 4042.00522086206 | -368.005220862055 |
47 | 3721 | 3786.62649075164 | -65.6264907516352 |
48 | 3844 | 3820.89749859092 | 23.1025014090792 |
49 | 4117 | 3948.37848722769 | 168.621512772311 |
50 | 4105 | 4254.08451629649 | -149.084516296492 |
51 | 4435 | 4213.16790628905 | 221.832093710948 |
52 | 4296 | 4586.19472289163 | -290.194722891631 |
53 | 4203 | 4390.90820946601 | -187.908209466013 |
54 | 4563 | 4261.46130977913 | 301.538690220866 |
55 | 4621 | 4679.94811259325 | -58.9481125932516 |
56 | 4697 | 4726.51446659916 | -29.5144665991647 |
57 | 4591 | 4796.7898055718 | -205.789805571802 |
58 | 4357 | 4650.87457024722 | -293.874570247216 |
59 | 4503 | 4359.87430925403 | 143.125690745968 |
60 | 4444 | 4533.63513837404 | -89.6351383740439 |
61 | 4291 | 4457.24940037983 | -166.249400379828 |
62 | 4200 | 4272.00346905056 | -72.0034690505581 |
63 | 4139 | 4167.03759059825 | -28.037590598251 |
64 | 3970 | 4100.59938619569 | -130.599386195686 |
65 | 3862 | 3906.26817399709 | -44.2681739970885 |
66 | 3702 | 3789.68186634412 | -87.6818663441227 |
67 | 3570 | 3612.67498731481 | -42.6749873148137 |
68 | 3801 | 3472.39769604467 | 328.602303955332 |
69 | 3896 | 3767.13378955102 | 128.86621044898 |
70 | 3918 | 3887.12883292145 | 30.8711670785538 |
71 | 3813 | 3915.11664118659 | -102.11664118659 |
72 | 3667 | 3790.30997606927 | -123.309976069269 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
73 | 3620.39262652419 | 3284.5989965974 | 3956.18625645098 |
74 | 3573.78525304839 | 3050.81501874494 | 4096.75548735183 |
75 | 3527.17787957258 | 2826.67406893576 | 4227.6816902094 |
76 | 3480.57050609677 | 2601.44332152103 | 4359.69769067251 |
77 | 3433.96313262097 | 2371.6736257961 | 4496.25263944584 |
78 | 3387.35575914516 | 2135.96739649354 | 4638.74412179679 |
79 | 3340.74838566935 | 1893.72032900221 | 4787.7764423365 |
80 | 3294.14101219355 | 1644.68802388837 | 4943.59400049872 |
81 | 3247.53363871774 | 1388.80509419232 | 5106.26218324317 |
82 | 3200.92626524193 | 1126.09995971445 | 5275.75257076942 |
83 | 3154.31889176613 | 856.651286396 | 5451.98649713625 |
84 | 3107.71151829032 | 580.56439975493 | 5634.85863682571 |