Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.117755567979608 |
beta | 0.00908839478896222 |
gamma | 0.581463350902353 |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
13 | 1604 | 1885.09849726468 | -281.098497264678 |
14 | 610 | 700.488574720233 | -90.4885747202334 |
15 | 635 | 710.469776451733 | -75.4697764517333 |
16 | 623 | 676.66631661472 | -53.6663166147202 |
17 | 744 | 792.412149160289 | -48.4121491602888 |
18 | 939 | 980.689566208545 | -41.6895662085452 |
19 | 993 | 840.961888098667 | 152.038111901333 |
20 | 634 | 699.798213494159 | -65.7982134941594 |
21 | 858 | 708.905825502506 | 149.094174497494 |
22 | 849 | 834.858381033896 | 14.1416189661041 |
23 | 458 | 508.909668586783 | -50.9096685867834 |
24 | 109 | 140.461570487184 | -31.461570487184 |
25 | 1538 | 1267.1928567617 | 270.807143238296 |
26 | 739 | 494.051314643772 | 244.948685356228 |
27 | 855 | 543.404584959564 | 311.595415040436 |
28 | 834 | 566.905634867509 | 267.094365132491 |
29 | 1004 | 714.424663947271 | 289.575336052729 |
30 | 1355 | 943.989728410954 | 411.010271589046 |
31 | 968 | 957.0065343326 | 10.9934656674 |
32 | 811 | 682.830556986684 | 128.169443013316 |
33 | 1121 | 833.937860031864 | 287.062139968136 |
34 | 960 | 914.009368090936 | 45.9906319090637 |
35 | 973 | 528.163020120619 | 444.836979879381 |
36 | 233 | 151.985522802575 | 81.0144771974246 |
37 | 1662 | 1897.64031645829 | -235.640316458291 |
38 | 894 | 804.32933848808 | 89.67066151192 |
39 | 966 | 878.080381765541 | 87.9196182344592 |
40 | 859 | 842.192216275325 | 16.8077837246746 |
41 | 946 | 988.224411734167 | -42.2244117341667 |
42 | 1156 | 1259.72414113128 | -103.72414113128 |
43 | 895 | 1000.7347436359 | -105.734743635901 |
44 | 952 | 767.882704581822 | 184.117295418178 |
45 | 1078 | 1011.14983884824 | 66.8501611517631 |
46 | 689 | 942.877110784029 | -253.877110784029 |
47 | 621 | 712.979936180994 | -91.9799361809937 |
48 | 587 | 165.59611997757 | 421.40388002243 |
49 | 1425 | 1886.0947827842 | -461.094782784204 |
50 | 1022 | 892.189651749958 | 129.810348250042 |
51 | 1406 | 975.138908516748 | 430.861091483252 |
52 | 776 | 938.174670904841 | -162.174670904841 |
53 | 1105 | 1044.76583280792 | 60.2341671920819 |
54 | 2244 | 1323.69231276601 | 920.307687233988 |
55 | 679 | 1140.08786078242 | -461.087860782421 |
56 | 665 | 1004.18138849425 | -339.181388494253 |
57 | 704 | 1143.8749591542 | -439.874959154205 |
58 | 449 | 840.029420745063 | -391.029420745063 |
59 | 560 | 675.868030934987 | -115.868030934987 |
60 | 229 | 336.219871208435 | -107.219871208435 |
61 | 1158 | 1225.7774061206 | -67.7774061205982 |
62 | 908 | 727.529719010156 | 180.470280989844 |
63 | 1104 | 906.932428753586 | 197.067571246414 |
64 | 731 | 633.243744239489 | 97.756255760511 |
65 | 989 | 825.918728082081 | 163.081271917919 |
66 | 1308 | 1368.20229817919 | -60.2022981791943 |
67 | 757 | 633.688753128639 | 123.311246871361 |
68 | 896 | 625.332451213403 | 270.667548786597 |
69 | 917 | 752.788206716594 | 164.211793283406 |
70 | 844 | 558.877342363816 | 285.122657636184 |
71 | 815 | 615.163381506915 | 199.836618493085 |
72 | 401 | 296.542483153954 | 104.457516846046 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
73 | 1375.74302569038 | 1070.83243122449 | 1680.65362015626 |
74 | 955.457234562286 | 647.888117855783 | 1263.02635126879 |
75 | 1146.94763038628 | 830.275721046304 | 1463.61953972627 |
76 | 762.070053158495 | 449.300074669182 | 1074.84003164781 |
77 | 998.990336694259 | 671.161380415708 | 1326.81929297281 |
78 | 1442.73352276592 | 1080.03151322259 | 1805.43553230925 |
79 | 756.875017787165 | 432.878378921028 | 1080.8716566533 |
80 | 808.107313014992 | 474.795477019369 | 1141.41914901061 |
81 | 849.043960153976 | 506.145448595427 | 1191.94247171253 |
82 | 691.730639217704 | 356.675631269544 | 1026.78564716586 |
83 | 668.43791724461 | 329.419048634517 | 1007.4567858547 |
84 | 313.546492856644 | 236.051720053311 | 391.041265659977 |