Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.824846748999328 |
beta | 0.0184321753657881 |
gamma | 1 |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
13 | 10.653 | 10.6188469551282 | 0.0341530448717915 |
14 | 10.805 | 10.8272771840405 | -0.0222771840404850 |
15 | 10.872 | 10.8836140926889 | -0.011614092688923 |
16 | 10.625 | 10.5847365068272 | 0.0402634931728088 |
17 | 10.407 | 10.3370538005496 | 0.0699461994503903 |
18 | 10.463 | 10.3927932204730 | 0.0702067795269752 |
19 | 10.556 | 10.8778983165717 | -0.321898316571737 |
20 | 10.646 | 10.8539744137037 | -0.207974413703745 |
21 | 10.702 | 10.0930249536784 | 0.608975046321627 |
22 | 11.353 | 10.6960672858988 | 0.656932714101233 |
23 | 11.346 | 11.3232384988065 | 0.0227615011935320 |
24 | 11.451 | 11.5142033745942 | -0.0632033745942362 |
25 | 11.964 | 11.5717814924954 | 0.392218507504602 |
26 | 12.574 | 12.0844434280512 | 0.489556571948823 |
27 | 13.031 | 12.5913807104575 | 0.439619289542481 |
28 | 13.812 | 12.7071967557385 | 1.10480324426148 |
29 | 14.544 | 13.3923889040086 | 1.15161109599137 |
30 | 14.931 | 14.4064207481191 | 0.524579251880875 |
31 | 14.886 | 15.2705821796915 | -0.384582179691529 |
32 | 16.005 | 15.2869019713030 | 0.718098028696959 |
33 | 17.064 | 15.5189855878378 | 1.54501441216219 |
34 | 15.168 | 17.0028220489699 | -1.83482204896988 |
35 | 16.05 | 15.526021514718 | 0.523978485282003 |
36 | 15.839 | 16.1853981436523 | -0.3463981436523 |
37 | 15.137 | 16.1548885669791 | -1.01788856697908 |
38 | 14.954 | 15.5657744386017 | -0.611774438601712 |
39 | 15.648 | 15.183088505554 | 0.464911494445989 |
40 | 15.305 | 15.4642131771372 | -0.159213177137227 |
41 | 15.579 | 15.1237035864131 | 0.455296413586936 |
42 | 16.348 | 15.4516888385476 | 0.89631116145242 |
43 | 15.928 | 16.467014230709 | -0.539014230708997 |
44 | 16.171 | 16.5505260126632 | -0.379526012663245 |
45 | 15.937 | 16.0068238736702 | -0.0698238736701615 |
46 | 15.713 | 15.5268741052719 | 0.186125894728088 |
47 | 15.594 | 16.1211206455525 | -0.527120645552506 |
48 | 15.683 | 15.7359948118279 | -0.0529948118278867 |
49 | 16.438 | 15.8092876454157 | 0.628712354584263 |
50 | 17.032 | 16.6539369597172 | 0.378063040282843 |
51 | 17.696 | 17.2957873222131 | 0.400212677786904 |
52 | 17.745 | 17.4327312848333 | 0.312268715166656 |
53 | 19.394 | 17.6144269962959 | 1.77957300370412 |
54 | 20.148 | 19.1577882292963 | 0.990211770703663 |
55 | 20.108 | 20.0463985375149 | 0.0616014624851289 |
56 | 18.584 | 20.7096259065367 | -2.12562590653671 |
57 | 18.441 | 18.8097218746401 | -0.368721874640141 |
58 | 18.391 | 18.1533307258932 | 0.237669274106786 |
59 | 19.178 | 18.6912220859018 | 0.486777914098187 |
60 | 18.079 | 19.2669237749264 | -1.18792377492640 |
61 | 18.483 | 18.5476941381383 | -0.064694138138254 |
62 | 19.644 | 18.7901617295637 | 0.853838270436285 |
63 | 19.195 | 19.8492412889133 | -0.654241288913337 |
64 | 19.65 | 19.1058949953764 | 0.544105004623589 |
65 | 20.83 | 19.7442243480598 | 1.08577565194016 |
66 | 23.595 | 20.5749027194146 | 3.02009728058540 |
67 | 22.937 | 23.0039230022748 | -0.0669230022748337 |
68 | 21.814 | 23.2047979754168 | -1.3907979754168 |
69 | 21.928 | 22.2566745199270 | -0.328674519926960 |
70 | 21.777 | 21.7780692448329 | -0.00106924483286619 |
71 | 21.383 | 22.1975819504328 | -0.814581950432768 |
72 | 21.467 | 21.4216580783794 | 0.0453419216206044 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
73 | 21.9502975285382 | 20.3486204597613 | 23.5519745973151 |
74 | 22.4418719625488 | 20.350051792726 | 24.5336921323717 |
75 | 22.5543994003943 | 20.0539642284387 | 25.0548345723500 |
76 | 22.5924216951621 | 19.7295649579739 | 25.4552784323502 |
77 | 22.9003762973609 | 19.7053464767487 | 26.0954061179732 |
78 | 23.1813041637366 | 19.6755713436033 | 26.6870369838699 |
79 | 22.5396339613168 | 18.7392424237868 | 26.3400254988468 |
80 | 22.525975205158 | 18.4433484480440 | 26.608601962272 |
81 | 22.8943726725964 | 18.5393818815070 | 27.2493634636857 |
82 | 22.7325430692666 | 18.1131846200411 | 27.3519015184921 |
83 | 22.9987530329196 | 18.121601169386 | 27.8759048964532 |
84 | 23.0460422621547 | 17.9165642936593 | 28.1755202306501 |