Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.433012478246557 |
beta | 0.0200180352765457 |
gamma | 0.414206205773625 |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
13 | 92.8 | 90.0906517094018 | 2.70934829059824 |
14 | 90.6 | 88.8548006356391 | 1.7451993643609 |
15 | 102.2 | 101.299921870431 | 0.900078129568996 |
16 | 91.8 | 91.2952303286501 | 0.504769671349848 |
17 | 95 | 94.6487406650294 | 0.351259334970621 |
18 | 102 | 102.017990513546 | -0.0179905135457545 |
19 | 88.9 | 84.6730279605632 | 4.22697203943676 |
20 | 89.6 | 89.894493472681 | -0.294493472680969 |
21 | 97.9 | 102.676388644608 | -4.77638864460819 |
22 | 108.6 | 104.934498595344 | 3.66550140465627 |
23 | 100.8 | 103.57149172674 | -2.77149172674027 |
24 | 95.1 | 98.8429963892033 | -3.74299638920328 |
25 | 101 | 98.8143393320295 | 2.18566066797047 |
26 | 100.9 | 97.1424236255646 | 3.75757637443544 |
27 | 102.5 | 110.29502488563 | -7.79502488562959 |
28 | 105.4 | 96.391609659266 | 9.00839034073398 |
29 | 98.4 | 103.424154391118 | -5.02415439111802 |
30 | 105.3 | 108.365382781666 | -3.06538278166573 |
31 | 96.5 | 90.6576927648975 | 5.84230723510248 |
32 | 88.1 | 95.4906583681818 | -7.39065836818178 |
33 | 107.9 | 104.059648495613 | 3.84035150438746 |
34 | 107.1 | 112.018575497805 | -4.91857549780549 |
35 | 92.5 | 105.339507978894 | -12.8395079788937 |
36 | 95.7 | 95.8486861772715 | -0.148686177271514 |
37 | 85.2 | 98.6253174456046 | -13.4253174456046 |
38 | 85.5 | 90.28406407354 | -4.78406407353995 |
39 | 94.7 | 96.6721101163778 | -1.97211011637776 |
40 | 86.2 | 88.9340480813099 | -2.73404808130989 |
41 | 88.8 | 87.1823272475319 | 1.61767275246808 |
42 | 93.4 | 95.1130348623733 | -1.71303486237326 |
43 | 83.4 | 79.7480875454626 | 3.65191245453738 |
44 | 82.9 | 80.1710301414532 | 2.72896985854683 |
45 | 96.7 | 95.4934668935483 | 1.2065331064517 |
46 | 96.2 | 99.9659772181531 | -3.76597721815313 |
47 | 92.8 | 91.6468522847278 | 1.15314771527223 |
48 | 92.8 | 91.0378326590587 | 1.76216734094126 |
49 | 90.2 | 91.3828085282299 | -1.18280852822991 |
50 | 95.9 | 90.3371639868403 | 5.56283601315975 |
51 | 107.5 | 101.920674612999 | 5.57932538700099 |
52 | 98 | 97.3937347783331 | 0.606265221666888 |
53 | 95 | 98.2595632087737 | -3.25956320877374 |
54 | 108.5 | 103.403026145067 | 5.09697385493261 |
55 | 91.8 | 92.4127588772679 | -0.612758877267936 |
56 | 91.7 | 90.9012310707787 | 0.798768929221339 |
57 | 108.3 | 105.142530086351 | 3.15746991364861 |
58 | 105.1 | 109.421145663265 | -4.32114566326504 |
59 | 104.8 | 102.141186971719 | 2.65881302828068 |
60 | 103.2 | 102.464524362193 | 0.735475637806545 |
61 | 98.6 | 101.801760681976 | -3.20176068197577 |
62 | 102.4 | 101.577054819692 | 0.822945180308466 |
63 | 121.2 | 111.181877661133 | 10.0181223388666 |
64 | 102.6 | 107.517417678198 | -4.91741767819809 |
65 | 108.9 | 105.144001356909 | 3.7559986430911 |
66 | 105.5 | 115.409099773274 | -9.90909977327412 |
67 | 90.8 | 96.5712915522401 | -5.77129155224013 |
68 | 99.6 | 93.1040426973514 | 6.49595730264861 |
69 | 111.6 | 110.362110288315 | 1.23788971168459 |
70 | 104.7 | 112.03240823284 | -7.33240823284029 |
71 | 103.1 | 105.04091057348 | -1.94091057347967 |
72 | 101.7 | 102.834078012146 | -1.13407801214646 |
73 | 98.8 | 100.334172975238 | -1.53417297523764 |
74 | 101.4 | 101.68826698159 | -0.288266981589686 |
75 | 114.2 | 112.873286513208 | 1.32671348679169 |
76 | 96.9 | 101.764272922169 | -4.86427292216926 |
77 | 98.3 | 101.277821980003 | -2.97782198000277 |
78 | 104.8 | 105.186481318123 | -0.386481318122804 |
79 | 94.4 | 91.2950257857611 | 3.10497421423892 |
80 | 94.5 | 94.4803879373056 | 0.0196120626943639 |
81 | 102.4 | 107.571240864343 | -5.17124086434283 |
82 | 105.5 | 104.269997739927 | 1.23000226007302 |
83 | 101.2 | 102.142966801557 | -0.94296680155702 |
84 | 99.5 | 100.457035262709 | -0.957035262709368 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
85 | 97.8406588516459 | 89.0959224572587 | 106.585395246033 |
86 | 100.065797021551 | 90.506069365271 | 109.62552467783 |
87 | 111.671543638135 | 101.332411532812 | 122.010675743458 |
88 | 98.4392210357788 | 87.3482478890389 | 109.530194182519 |
89 | 100.44938339844 | 88.6283858914394 | 112.27038090544 |
90 | 106.229154355163 | 93.6956778185094 | 118.762630891817 |
91 | 93.3014693947162 | 80.0697902612172 | 106.533148528215 |
92 | 94.3672802159749 | 80.4491133431901 | 108.28544708876 |
93 | 106.179938143261 | 91.5849515189981 | 120.774924767524 |
94 | 106.615429591388 | 91.3516286122679 | 121.879230570508 |
95 | 103.429001754906 | 87.5030224239784 | 119.354981085833 |
96 | 102.139786994934 | 85.5571238262404 | 118.722450163628 |