Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.27909312390333 |
beta | 0.261615313687514 |
gamma | 0.364635897888864 |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
13 | 14 | 14.0102512035019 | -0.0102512035018787 |
14 | 14 | 13.9571933384626 | 0.0428066615374423 |
15 | 15 | 14.9173236916909 | 0.0826763083090931 |
16 | 16 | 15.8435958771574 | 0.156404122842602 |
17 | 16 | 15.7612800137760 | 0.238719986224041 |
18 | 15 | 14.6969363113687 | 0.30306368863131 |
19 | 15 | 13.7139937524670 | 1.28600624753303 |
20 | 13 | 13.3134495246946 | -0.313449524694612 |
21 | 15 | 14.523827270486 | 0.476172729513991 |
22 | 15 | 14.8871869333564 | 0.112813066643646 |
23 | 15 | 13.9914207349320 | 1.00857926506798 |
24 | 13 | 12.1390736244547 | 0.860926375545342 |
25 | 16 | 17.6503731751283 | -1.65037317512833 |
26 | 16 | 17.3562525620149 | -1.35625256201488 |
27 | 14 | 18.257879186246 | -4.257879186246 |
28 | 16 | 17.9155792109460 | -1.91557921094597 |
29 | 15 | 16.9175619900258 | -1.91756199002584 |
30 | 14 | 14.7711881886316 | -0.771188188631637 |
31 | 15 | 13.2545566061684 | 1.74544339383157 |
32 | 15 | 12.1989646828455 | 2.8010353171545 |
33 | 14 | 14.2497661341261 | -0.24976613412608 |
34 | 13 | 14.0482751376354 | -1.04827513763537 |
35 | 12 | 12.7987471649270 | -0.798747164927015 |
36 | 13 | 10.3374050156026 | 2.66259498439742 |
37 | 12 | 14.8295877213844 | -2.82958772138442 |
38 | 9 | 13.8541932204021 | -4.85419322040207 |
39 | 10 | 12.1817400869882 | -2.18174008698822 |
40 | 8 | 11.9738044342622 | -3.97380443426224 |
41 | 11 | 9.70963700391881 | 1.29036299608119 |
42 | 8 | 8.61034823859755 | -0.610348238597554 |
43 | 8 | 7.41197731589706 | 0.588022684102945 |
44 | 8 | 6.2388888726614 | 1.76111112733860 |
45 | 4 | 6.31100840793949 | -2.31100840793949 |
46 | 6 | 4.73246179015954 | 1.26753820984046 |
47 | 8 | 4.1137658064348 | 3.8862341935652 |
48 | 10 | 4.32989190158651 | 5.67010809841349 |
49 | 5 | 7.08645151102966 | -2.08645151102966 |
50 | 6 | 6.06859837485366 | -0.0685983748536616 |
51 | 5 | 6.40780863830277 | -1.40780863830277 |
52 | 9 | 6.07559877754733 | 2.92440122245267 |
53 | 8 | 7.78187997935683 | 0.218120020643167 |
54 | 6 | 7.01780839356718 | -1.01780839356718 |
55 | 9 | 6.82916444849723 | 2.17083555150277 |
56 | 11 | 7.30991601139381 | 3.69008398860619 |
57 | 11 | 7.54322144231418 | 3.45677855768582 |
58 | 8 | 10.6103616524784 | -2.61036165247845 |
59 | 11 | 10.9640244053554 | 0.0359755946446274 |
60 | 11 | 10.8327663850901 | 0.167233614909858 |
61 | 13 | 9.87267825920092 | 3.12732174079908 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
62 | 11.7333804037677 | 9.41457357528615 | 14.0521872322493 |
63 | 12.5444281670802 | 9.77062870312892 | 15.3182276310314 |
64 | 16.3447721044121 | 12.6041811515812 | 20.0853630572430 |
65 | 17.5532117798871 | 13.0395353863339 | 22.0668881734404 |
66 | 15.6449013208141 | 10.9867278944441 | 20.3030747471841 |
67 | 18.7508385451721 | 12.7038317840475 | 24.7978453062966 |
68 | 19.6709250681894 | 12.7188865015583 | 26.6229636348205 |
69 | 17.5985935295977 | 10.7343765603987 | 24.4628104987967 |
70 | 17.9861237997251 | 10.3911479052626 | 25.5810996941876 |
71 | 21.2650404984640 | 11.6964520110012 | 30.8336289859267 |
72 | 20.8751798299709 | 10.8170542396425 | 30.9333054202994 |
73 | 20.1302809450564 | 9.63112987139291 | 30.6294320187199 |