Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.458869668359626 |
beta | 0.0711214003445339 |
gamma | FALSE |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
3 | 47 | 23 | 24 |
4 | 35 | 27.7961229219759 | 7.20387707802414 |
5 | 30 | 25.1201162836198 | 4.87988371638025 |
6 | 43 | 21.5369567997076 | 21.4630432002924 |
7 | 82 | 26.2637623544902 | 55.7362376455098 |
8 | 40 | 48.5364746637534 | -8.53647466375342 |
9 | 47 | 41.0377970700929 | 5.96220292990706 |
10 | 19 | 40.3867020513055 | -21.3867020513055 |
11 | 52 | 26.4880593558425 | 25.5119406441575 |
12 | 136 | 34.9423750303279 | 101.057624969672 |
13 | 80 | 81.3603752266012 | -1.36037522660121 |
14 | 42 | 80.7374651764547 | -38.7374651764547 |
15 | 54 | 61.6991275175825 | -7.6991275175825 |
16 | 66 | 56.6520770494322 | 9.3479229505678 |
17 | 81 | 59.7324746798525 | 21.2675253201475 |
18 | 63 | 68.9764916278734 | -5.97649162787336 |
19 | 137 | 65.5240100402184 | 71.4759899597816 |
20 | 72 | 99.9447743311122 | -27.9447743311122 |
21 | 107 | 87.8323751036235 | 19.1676248963765 |
22 | 58 | 97.9639710141695 | -39.9639710141695 |
23 | 36 | 79.6576288063808 | -43.6576288063808 |
24 | 52 | 58.2315925624452 | -6.23159256244519 |
25 | 79 | 53.7758583091664 | 25.2241416908336 |
26 | 77 | 64.5774077011363 | 12.4225922988637 |
27 | 54 | 69.9101313010682 | -15.9101313010682 |
28 | 84 | 61.7225930704797 | 22.2774069295203 |
29 | 48 | 71.7851911187162 | -23.7851911187162 |
30 | 96 | 59.9348195806636 | 36.0651804193364 |
31 | 83 | 76.724971696032 | 6.27502830396799 |
32 | 66 | 80.0501149835696 | -14.0501149835696 |
33 | 61 | 73.5901346387314 | -12.5901346387314 |
34 | 53 | 67.3892102383725 | -14.3892102383725 |
35 | 30 | 59.8931462142082 | -29.8931462142082 |
36 | 74 | 44.3072198506079 | 29.6927801493921 |
37 | 69 | 57.0325050989402 | 11.9674949010598 |
38 | 59 | 62.0147592058215 | -3.01475920582153 |
39 | 42 | 60.0237233058568 | -18.0237233058568 |
40 | 65 | 50.5573166450362 | 14.4426833549638 |
41 | 70 | 56.4601027609435 | 13.5398972390565 |
42 | 100 | 62.3905083964867 | 37.6094916035133 |
43 | 63 | 80.5931236258233 | -17.5931236258233 |
44 | 105 | 72.8907735462262 | 32.1092264537738 |
45 | 82 | 89.0432235276487 | -7.04322352764866 |
46 | 81 | 86.9999429774815 | -5.99994297748148 |
47 | 75 | 85.2395813679951 | -10.2395813679951 |
48 | 102 | 81.1996049158271 | 20.8003950841729 |
49 | 121 | 92.081762488406 | 28.9182375115939 |
50 | 98 | 107.632711515864 | -9.63271151586369 |
51 | 76 | 105.179431440454 | -29.1794314404538 |
52 | 77 | 92.8044705010255 | -15.8044705010255 |
53 | 63 | 86.0510873918158 | -23.0510873918158 |
54 | 37 | 75.22016890505 | -38.22016890505 |
55 | 35 | 56.1812864741518 | -21.1812864741518 |
56 | 23 | 44.2697694860844 | -21.2697694860844 |
57 | 40 | 31.6235017570103 | 8.37649824298966 |
58 | 29 | 32.8543778868524 | -3.85437788685239 |
59 | 37 | 28.3470865733748 | 8.65291342662523 |
60 | 51 | 29.8614036298067 | 21.1385963701933 |
61 | 20 | 37.7948895543533 | -17.7948895543533 |
62 | 28 | 27.282235415999 | 0.717764584001024 |
63 | 13 | 25.2879013151935 | -12.2879013151935 |
64 | 22 | 16.9246403858033 | 5.07535961419669 |
65 | 25 | 16.6944899028475 | 8.30551009715252 |
66 | 13 | 18.2176115884078 | -5.21761158840782 |
67 | 16 | 13.3651037911309 | 2.63489620886909 |
68 | 13 | 12.2018646749922 | 0.798135325007793 |
69 | 16 | 10.2218392094178 | 5.77816079058217 |
70 | 17 | 10.7155692748114 | 6.28443072518861 |
71 | 9 | 11.6467065032089 | -2.64670650320886 |
72 | 17 | 8.39323928681646 | 8.60676071318354 |
73 | 25 | 10.5845323779945 | 14.4154676220055 |
74 | 14 | 15.9117202036859 | -1.91172020368588 |
75 | 8 | 13.6844669109560 | -5.68446691095602 |
76 | 7 | 9.54049943294032 | -2.54049943294032 |
77 | 10 | 6.7562929180657 | 3.2437070819343 |
78 | 7 | 6.73214317967641 | 0.267856820323587 |
79 | 10 | 5.35120764742861 | 4.64879235257139 |
80 | 3 | 6.13226599610745 | -3.13226599610745 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
81 | 3.24060975992207 | -43.515313575402 | 49.9965330952461 |
82 | 1.78625538258464 | -50.3120403948589 | 53.8845511600282 |
83 | 0.331901005247214 | -57.2424823466158 | 57.9062843571102 |
84 | -1.12245337209021 | -64.3087232372839 | 62.0638164931035 |
85 | -2.57680774942764 | -71.5113739157706 | 66.3577584169154 |
86 | -4.03116212676506 | -78.8501136282416 | 70.7877893747115 |
87 | -5.48551650410249 | -86.3240266303458 | 75.3529936221408 |
88 | -6.93987088143991 | -93.9318176680923 | 80.0520759052125 |
89 | -8.39422525877734 | -101.671953087675 | 84.8835025701201 |
90 | -9.84857963611477 | -109.542754868370 | 89.8455955961403 |
91 | -11.3029340134522 | -117.542464090177 | 94.936596063273 |
92 | -12.7572883907896 | -125.669284131773 | 100.154707350194 |