Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 1 |
beta | 0.0339504410338378 |
gamma | 0.266247991357555 |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
13 | 1.3322 | 1.27138682727723 | 0.060813172722769 |
14 | 1.4369 | 1.43185763494778 | 0.00504236505221511 |
15 | 1.4975 | 1.49505700178949 | 0.00244299821050853 |
16 | 1.577 | 1.57901700119157 | -0.00201700119156634 |
17 | 1.5553 | 1.56090629104503 | -0.00560629104503274 |
18 | 1.5557 | 1.55901031353179 | -0.00331031353178934 |
19 | 1.575 | 1.45949475928585 | 0.115505240714154 |
20 | 1.5527 | 1.58559394354555 | -0.0328939435455491 |
21 | 1.4748 | 1.53646247493622 | -0.0616624749362209 |
22 | 1.4718 | 1.53206827304489 | -0.0602682730448914 |
23 | 1.457 | 1.49466759529134 | -0.0376675952913359 |
24 | 1.4684 | 1.37709622807195 | 0.0913037719280496 |
25 | 1.4227 | 1.53175532803572 | -0.109055328035721 |
26 | 1.3896 | 1.52464227472821 | -0.13504227472821 |
27 | 1.3622 | 1.43800281111357 | -0.0758028111135665 |
28 | 1.3716 | 1.42641234790238 | -0.0548123479023817 |
29 | 1.3419 | 1.34679016706208 | -0.00489016706207801 |
30 | 1.3511 | 1.33449496993768 | 0.0166050300623219 |
31 | 1.3516 | 1.25822760853177 | 0.0933723914682347 |
32 | 1.3242 | 1.35138650493592 | -0.0271865049359226 |
33 | 1.3074 | 1.30137939946158 | 0.00602060053842113 |
34 | 1.2999 | 1.35045000608958 | -0.0505500060895849 |
35 | 1.3213 | 1.31247731831248 | 0.00882268168751876 |
36 | 1.2881 | 1.24275447667677 | 0.0453455233232307 |
37 | 1.2611 | 1.33654356203417 | -0.075443562034172 |
38 | 1.2727 | 1.34449608090303 | -0.0717960809030334 |
39 | 1.2811 | 1.31129252311742 | -0.0301925231174185 |
40 | 1.2684 | 1.33674834225979 | -0.068348342259788 |
41 | 1.265 | 1.24031980361613 | 0.0246801963838688 |
42 | 1.277 | 1.25384017144358 | 0.0231598285564221 |
43 | 1.2271 | 1.18556834906526 | 0.0415316509347436 |
44 | 1.202 | 1.22196351579028 | -0.0199635157902824 |
45 | 1.1938 | 1.17660844155495 | 0.0171915584450475 |
46 | 1.2103 | 1.22867594897188 | -0.0183759489718773 |
47 | 1.1856 | 1.21841282635249 | -0.0328128263524943 |
48 | 1.1786 | 1.11060737748961 | 0.0679926225103893 |
49 | 1.2015 | 1.21910619052557 | -0.0176061905255722 |
50 | 1.2256 | 1.27859172630983 | -0.0529917263098263 |
51 | 1.2292 | 1.26085249615482 | -0.031652496154819 |
52 | 1.2037 | 1.28051206921857 | -0.0768120692185719 |
53 | 1.2165 | 1.17462556555472 | 0.0418744344452815 |
54 | 1.2694 | 1.20399054661212 | 0.0654094533878815 |
55 | 1.2938 | 1.17821632266330 | 0.115583677336695 |
56 | 1.3201 | 1.29050337417145 | 0.0295966258285536 |
57 | 1.3014 | 1.29592964727458 | 0.00547035272541962 |
58 | 1.3119 | 1.34278347696348 | -0.0308834769634840 |
59 | 1.3408 | 1.32371290342279 | 0.0170870965772083 |
60 | 1.2991 | 1.26050411274305 | 0.0385958872569487 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
61 | 1.34712743112759 | 1.23770582167322 | 1.45654904058196 |
62 | 1.43782379706115 | 1.27524907360653 | 1.60039852051578 |
63 | 1.48564709302681 | 1.28107682356050 | 1.69021736249312 |
64 | 1.55576704515589 | 1.30978316007633 | 1.80175093023546 |
65 | 1.52952500416283 | 1.2579452945092 | 1.80110471381646 |
66 | 1.52313345509329 | 1.22453751327517 | 1.82172939691141 |
67 | 1.41979176332391 | 1.11376843279392 | 1.72581509385389 |
68 | 1.41791397404660 | 1.08570265652350 | 1.75012529156970 |
69 | 1.39268497884431 | 1.04049507761551 | 1.74487488007311 |
70 | 1.43753871237516 | 1.04900386545718 | 1.82607355929314 |
71 | 1.45208058454113 | 1.03515680804109 | 1.86900436104118 |
72 | 1.36607635851613 | -15.3216613736994 | 18.0538140907316 |