Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 1 |
beta | 0.356147313163450 |
gamma | FALSE |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
3 | 1.4914 | 1.4956 | -0.00419999999999998 |
4 | 1.4816 | 1.52410418128471 | -0.0425041812847136 |
5 | 1.4562 | 1.49916643132195 | -0.0429664313219507 |
6 | 1.4268 | 1.45846405225042 | -0.0316640522504159 |
7 | 1.4088 | 1.41778698511756 | -0.00898698511756324 |
8 | 1.4016 | 1.39658629451450 | 0.00501370548549662 |
9 | 1.365 | 1.39117191225216 | -0.0261719122521558 |
10 | 1.319 | 1.3452508560232 | -0.0262508560232009 |
11 | 1.305 | 1.28990168418230 | 0.0150983158177027 |
12 | 1.2785 | 1.28127890879407 | -0.00277890879406528 |
13 | 1.3239 | 1.25378920789353 | 0.0701107921064674 |
14 | 1.3449 | 1.32415897812601 | 0.0207410218739876 |
15 | 1.2732 | 1.35254583733870 | -0.0793458373386973 |
16 | 1.3322 | 1.25258703055982 | 0.0796129694401837 |
17 | 1.4369 | 1.33994097571890 | 0.0969590242810985 |
18 | 1.4975 | 1.47917267170356 | 0.0183273282964356 |
19 | 1.577 | 1.54629990043380 | 0.0307000995661955 |
20 | 1.5553 | 1.63673365840816 | -0.0814336584081554 |
21 | 1.5557 | 1.58603127976502 | -0.0303312797650204 |
22 | 1.575 | 1.5756288759719 | -0.000628875971899756 |
23 | 1.5527 | 1.59470490348419 | -0.0420049034841945 |
24 | 1.4748 | 1.55744496996861 | -0.0826449699686085 |
25 | 1.4718 | 1.45011118596781 | 0.0216888140321851 |
26 | 1.457 | 1.45483559881108 | 0.00216440118892081 |
27 | 1.4684 | 1.44080644447912 | 0.0275935555208786 |
28 | 1.4227 | 1.46203381513851 | -0.0393338151385083 |
29 | 1.3896 | 1.40232518256046 | -0.0127251825604611 |
30 | 1.3622 | 1.36469314298204 | -0.00249314298203829 |
31 | 1.3716 | 1.33640521680765 | 0.0351947831923467 |
32 | 1.3419 | 1.35833974427898 | -0.0164397442789774 |
33 | 1.3511 | 1.32278477352493 | 0.0283152264750743 |
34 | 1.3516 | 1.34206916535564 | 0.0095308346443621 |
35 | 1.3242 | 1.34596354650643 | -0.0217635465064323 |
36 | 1.3074 | 1.31081251789326 | -0.00341251789325892 |
37 | 1.2999 | 1.29279715881445 | 0.0071028411855476 |
38 | 1.3213 | 1.28782681661851 | 0.0334731833814879 |
39 | 1.2881 | 1.32114820094286 | -0.0330482009428561 |
40 | 1.2611 | 1.27617817297217 | -0.0150781729721723 |
41 | 1.2727 | 1.24380812218072 | 0.0288918778192804 |
42 | 1.2811 | 1.26569788683830 | 0.0154021131616973 |
43 | 1.2684 | 1.27958330805788 | -0.0111833080578805 |
44 | 1.265 | 1.26290040294079 | 0.00209959705921259 |
45 | 1.277 | 1.26024816879215 | 0.0167518312078483 |
46 | 1.2271 | 1.27821428846739 | -0.0511142884673943 |
47 | 1.202 | 1.21011007196547 | -0.00811007196547076 |
48 | 1.1938 | 1.18212169162541 | 0.0116783083745942 |
49 | 1.2103 | 1.17808088977531 | 0.0322191102246880 |
50 | 1.1856 | 1.20605563931435 | -0.0204556393143516 |
51 | 1.1786 | 1.17407041833350 | 0.00452958166649542 |
52 | 1.2015 | 1.16868361667378 | 0.0328163833262185 |
53 | 1.2256 | 1.20327108342316 | 0.0223289165768441 |
54 | 1.2292 | 1.23532346706785 | -0.00612346706784983 |
55 | 1.2037 | 1.23674261072439 | -0.0330426107243904 |
56 | 1.2165 | 1.19947457369499 | 0.0170254263050071 |
57 | 1.2694 | 1.21833813352898 | 0.0510618664710167 |
58 | 1.2938 | 1.28942368007775 | 0.00437631992225307 |
59 | 1.3201 | 1.3153822946596 | 0.00471770534039906 |
60 | 1.3014 | 1.34336249274088 | -0.041962492740881 |
61 | 1.3119 | 1.30971766369758 | 0.00218233630242470 |
62 | 1.3408 | 1.32099489690810 | 0.0198051030918969 |
63 | 1.2991 | 1.35694843116121 | -0.0578484311612073 |
64 | 1.249 | 1.29464586783242 | -0.0456458678324223 |
65 | 1.2218 | 1.22828921464689 | -0.00648921464689156 |
66 | 1.2176 | 1.19877809828586 | 0.01882190171414 |
67 | 1.2266 | 1.20128146800998 | 0.0253185319900224 |
68 | 1.2138 | 1.21929859515147 | -0.00549859515146678 |
69 | 1.2007 | 1.20454028526210 | -0.00384028526209823 |
70 | 1.1985 | 1.19007257798422 | 0.00842742201577895 |
71 | 1.2262 | 1.19087398169203 | 0.0353260183079651 |
72 | 1.2646 | 1.23115524819718 | 0.0334447518028205 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
73 | 1.28146650669117 | 1.21389420383389 | 1.34903880954846 |
74 | 1.29833301338234 | 1.18447547695615 | 1.41219054980854 |
75 | 1.31519952007352 | 1.15286997030358 | 1.47752906984346 |
76 | 1.33206602676469 | 1.11785500052763 | 1.54627705300175 |
77 | 1.34893253345586 | 1.07925068948818 | 1.61861437742354 |
78 | 1.36579904014704 | 1.03711226279355 | 1.69448581750052 |
79 | 1.38266554683821 | 0.991558424746492 | 1.77377266892992 |
80 | 1.39953205352938 | 0.942721411946858 | 1.85634269511190 |
81 | 1.41639856022055 | 0.890730550152196 | 1.94206657028891 |
82 | 1.43326506691173 | 0.835706885765214 | 2.03082324805824 |
83 | 1.45013157360290 | 0.777761848922768 | 2.12250129828303 |
84 | 1.46699808029407 | 0.716997431955126 | 2.21699872863301 |