Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.680282906594522 |
beta | 0 |
gamma | 0 |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
2 | 10900 | 10057 | 843 |
3 | 11771 | 10630.4784902592 | 1140.52150974082 |
4 | 11992 | 11406.3557779392 | 585.644222060762 |
5 | 11993 | 11804.7595315530 | 188.240468446978 |
6 | 14504 | 11932.8163045668 | 2571.18369543315 |
7 | 11727 | 13681.9486222846 | -1954.94862228456 |
8 | 11477 | 12352.0304912739 | -875.030491273861 |
9 | 13578 | 11756.7622053112 | 1821.23779468875 |
10 | 11555 | 12995.7191458819 | -1440.71914588191 |
11 | 11846 | 12015.6225377350 | -169.622537734987 |
12 | 11397 | 11900.2312247407 | -503.231224740692 |
13 | 10066 | 11557.8916244850 | -1491.89162448497 |
14 | 10269 | 10542.9832538563 | -273.983253856313 |
15 | 14279 | 10356.5971295647 | 3922.40287043528 |
16 | 13870 | 13024.9407550991 | 845.059244900873 |
17 | 13695 | 13599.8201144649 | 95.1798855351353 |
18 | 14420 | 13664.5693636460 | 755.43063635396 |
19 | 11424 | 14178.4759126755 | -2754.47591267546 |
20 | 9704 | 12304.653032656 | -2600.653032656 |
21 | 12464 | 10535.4732285569 | 1928.52677144308 |
22 | 14301 | 11847.4170260796 | 2453.58297392043 |
23 | 13464 | 13516.547583149 | -52.5475831489912 |
24 | 9893 | 13480.8003605499 | -3587.80036054988 |
25 | 11572 | 11040.0811029941 | 531.918897005868 |
26 | 12380 | 11401.9364363218 | 978.063563678164 |
27 | 16692 | 12067.2963602550 | 4624.70363974499 |
28 | 16052 | 15213.403194439 | 838.596805561003 |
29 | 16459 | 15783.8862667869 | 675.113733213082 |
30 | 14761 | 16243.154599499 | -1482.15459949899 |
31 | 13654 | 15234.8701605294 | -1580.87016052938 |
32 | 13480 | 14159.4312127759 | -679.431212775904 |
33 | 18068 | 13697.2257725177 | 4370.77422748233 |
34 | 16560 | 16670.5887680578 | -110.588768057776 |
35 | 14530 | 16595.3571194867 | -2065.35711948673 |
36 | 10650 | 15190.3299750866 | -4540.32997508661 |
37 | 11651 | 12101.6211027365 | -450.621102736457 |
38 | 13735 | 11795.0712691941 | 1939.92873080593 |
39 | 13360 | 13114.7716247730 | 245.228375227049 |
40 | 17818 | 13281.5962966519 | 4536.40370334814 |
41 | 20613 | 16367.6341934517 | 4245.36580654831 |
42 | 16231 | 19255.6839838874 | -3024.68398388737 |
43 | 13862 | 17198.0431717986 | -3336.04317179857 |
44 | 12004 | 14928.5900263626 | -2924.59002636263 |
45 | 17734 | 12939.0414226313 | 4794.95857736869 |
46 | 15034 | 16200.9697806440 | -1166.96978064402 |
47 | 12609 | 15407.1001863595 | -2798.10018635953 |
48 | 12320 | 13503.6004586402 | -1183.60045864020 |
49 | 10833 | 12698.4172983898 | -1865.41729838983 |
50 | 11350 | 11429.4057966295 | -79.4057966294968 |
51 | 13648 | 11375.3873904979 | 2272.61260950207 |
52 | 14890 | 12921.4069020534 | 1968.59309794664 |
53 | 16325 | 14260.6071366264 | 2064.39286337358 |
54 | 18045 | 15664.9783140752 | 2380.02168592481 |
55 | 15616 | 17284.0663843341 | -1668.06638433411 |
56 | 11926 | 16149.3093360067 | -4223.30933600669 |
57 | 16855 | 13276.2641854603 | 3578.73581453972 |
58 | 15083 | 15710.8169873093 | -627.816987309274 |
59 | 12520 | 15283.7238223731 | -2763.72382237311 |
60 | 12355 | 13403.6097474646 | -1048.60974746461 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
61 | 12690.2584605760 | 8101.32154325347 | 17279.1953778986 |
62 | 12690.2584605760 | 7140.1392428101 | 18240.3776783420 |
63 | 12690.2584605760 | 6322.4248704401 | 19058.0920507120 |
64 | 12690.2584605760 | 5598.37676867562 | 19782.1401524765 |
65 | 12690.2584605760 | 4941.69296545624 | 20438.8239556958 |
66 | 12690.2584605760 | 4336.4719818342 | 21044.0449393179 |
67 | 12690.2584605760 | 3772.23010041376 | 21608.2868207383 |
68 | 12690.2584605760 | 3241.62304942235 | 22138.8938717297 |
69 | 12690.2584605760 | 2739.26894027423 | 22641.2479808778 |
70 | 12690.2584605760 | 2261.08429703820 | 23119.4326241139 |
71 | 12690.2584605760 | 1803.88371809845 | 23576.6332030536 |
72 | 12690.2584605760 | 1365.12551063224 | 24015.3914105198 |