Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.962988058725841 |
beta | 0.0285777275021911 |
gamma | FALSE |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
3 | 22.25 | 22.24 | 0.0100000000000016 |
4 | 22.24 | 22.2499050806906 | -0.00990508069056162 |
5 | 22.09 | 22.2403692184452 | -0.15036921844521 |
6 | 22.09 | 22.091429906418 | -0.00142990641796814 |
7 | 22.08 | 22.0858780223084 | -0.0058780223084085 |
8 | 22.08 | 22.0758808924779 | 0.00411910752212563 |
9 | 22.05 | 22.0756242371772 | -0.0256242371772331 |
10 | 22.05 | 22.0460199168327 | 0.00398008316727427 |
11 | 22.12 | 22.0450337353966 | 0.0749662646034466 |
12 | 22.11 | 22.1144694713943 | -0.00446947139426257 |
13 | 22.43 | 22.1072865422911 | 0.322713457708865 |
14 | 22.43 | 22.4240579446231 | 0.0059420553769165 |
15 | 22.39 | 22.4359457945889 | -0.0459457945888815 |
16 | 22.35 | 22.3966018359029 | -0.0466018359029476 |
17 | 22.29 | 22.3553436342601 | -0.0653436342600848 |
18 | 22.29 | 22.2942390471104 | -0.00423904711040635 |
19 | 22.29 | 22.291860789099 | -0.00186078909896992 |
20 | 22.29 | 22.2917215562179 | -0.00172155621789116 |
21 | 22.26 | 22.2916690256938 | -0.0316690256937697 |
22 | 22.24 | 22.2619059077611 | -0.0219059077610879 |
23 | 22.29 | 22.2409417050056 | 0.0490582949943672 |
24 | 22.19 | 22.2896652668857 | -0.099665266885701 |
25 | 22.14 | 22.1924270254498 | -0.0524270254498447 |
26 | 22.14 | 22.13923585415 | 0.000764145850030928 |
27 | 22.22 | 22.1372881749432 | 0.0827118250568013 |
28 | 22.12 | 22.2165313625328 | -0.0965313625328292 |
29 | 22.4 | 22.1205089567716 | 0.27949104322839 |
30 | 22.4 | 22.3942832339686 | 0.00571676603137306 |
31 | 22.13 | 22.4045734768989 | -0.274573476898858 |
32 | 22.13 | 22.1373912979893 | -0.00739129798927607 |
33 | 22.08 | 22.127298958277 | -0.0472989582769578 |
34 | 22.03 | 22.0774743504355 | -0.0474743504355217 |
35 | 21.97 | 22.0261743474254 | -0.0561743474253973 |
36 | 22.06 | 21.9649504325816 | 0.0950495674183642 |
37 | 22.06 | 22.0519691070034 | 0.00803089299658311 |
38 | 22.06 | 22.0554108473291 | 0.00458915267090276 |
39 | 22.05 | 22.0556645263488 | -0.00566452634881998 |
40 | 22.04 | 22.0458881470909 | -0.00588814709091068 |
41 | 22.3 | 22.0357343818599 | 0.264265618140087 |
42 | 22.27 | 22.2930080591073 | -0.0230080591073083 |
43 | 22.18 | 22.2730074335549 | -0.0930074335548881 |
44 | 22.18 | 22.183038680759 | -0.00303868075896219 |
45 | 22.13 | 22.1796251380381 | -0.0496251380380954 |
46 | 22.1 | 22.1299837089476 | -0.0299837089476327 |
47 | 21.96 | 22.0984315895476 | -0.138431589547626 |
48 | 21.95 | 21.9586358173613 | -0.00863581736133412 |
49 | 21.94 | 21.9435941660805 | -0.00359416608054275 |
50 | 21.94 | 21.9333086532918 | 0.00669134670824789 |
51 | 21.84 | 21.933112112427 | -0.0931121124269723 |
52 | 21.72 | 21.8342435858996 | -0.114243585899594 |
53 | 21.74 | 21.7118817180907 | 0.0281182819093111 |
54 | 21.65 | 21.7273864444083 | -0.0773864444082761 |
55 | 21.67 | 21.6391617033934 | 0.0308382966066425 |
56 | 21.67 | 21.6560047658757 | 0.0139952341243159 |
57 | 21.68 | 21.6570133093028 | 0.0229866906971665 |
58 | 21.6 | 21.6673131120056 | -0.0673131120056283 |
59 | 21.59 | 21.5888028254626 | 0.0011971745374133 |
60 | 21.52 | 21.576300073016 | -0.0563000730160148 |
61 | 21.16 | 21.5068787791749 | -0.346878779174901 |
62 | 21.16 | 21.1480875535966 | 0.0119124464034215 |
63 | 21.15 | 21.1351358244739 | 0.0148641755261316 |
64 | 21.25 | 21.125435637513 | 0.12456436248705 |
65 | 21.29 | 21.2248034331778 | 0.0651965668222019 |
66 | 21.22 | 21.268794960737 | -0.0487949607369558 |
67 | 21.24 | 21.2016711706372 | 0.0383288293628112 |
68 | 21.24 | 21.2195013598144 | 0.0204986401855578 |
69 | 21.25 | 21.2207254125188 | 0.0292745874811651 |
70 | 21.12 | 21.2312062346228 | -0.111206234622795 |
71 | 21.07 | 21.1033453058351 | -0.0333453058350592 |
72 | 21.04 | 21.0495458585502 | -0.00954585855017598 |
73 | 20.89 | 21.018402292679 | -0.128402292678999 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
74 | 20.8692677676181 | 20.6806610835374 | 21.0578744516988 |
75 | 20.8437831171201 | 20.5783158602818 | 21.1092503739584 |
76 | 20.8182984666221 | 20.4906713703116 | 21.1459255629325 |
77 | 20.7928138161241 | 20.4104183240783 | 21.1752093081698 |
78 | 20.7673291656261 | 20.3346778736369 | 21.1999804576152 |
79 | 20.741844515128 | 20.2619738238872 | 21.2217152063689 |
80 | 20.71635986463 | 20.1914347141567 | 21.2412850151034 |
81 | 20.690875214132 | 20.1224980312431 | 21.2592523970209 |
82 | 20.665390563634 | 20.054777439548 | 21.27600368772 |
83 | 20.639905913136 | 19.9879951898481 | 21.2918166364239 |
84 | 20.614421262638 | 19.9219444650267 | 21.3068980602493 |
85 | 20.58893661214 | 19.8564669258803 | 21.3214062983996 |