Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 1 |
beta | 0.153603670908544 |
gamma | FALSE |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
3 | 6.59 | 6.59 | 0 |
4 | 6.59 | 6.59 | 0 |
5 | 6.63 | 6.59 | 0.04 |
6 | 6.63 | 6.63614414683634 | -0.00614414683634212 |
7 | 6.63 | 6.63520038332768 | -0.00520038332767836 |
8 | 6.63 | 6.63440158535842 | -0.00440158535841562 |
9 | 6.63 | 6.63372548568955 | -0.00372548568954567 |
10 | 6.63 | 6.63315323741171 | -0.00315323741171447 |
11 | 6.63 | 6.63266888857003 | -0.002668888570029 |
12 | 6.63 | 6.63225893748843 | -0.00225893748842676 |
13 | 6.63 | 6.63191195639785 | -0.00191195639785136 |
14 | 6.63 | 6.63161827287652 | -0.00161827287652461 |
15 | 6.63 | 6.63136970022216 | -0.00136970022215799 |
16 | 6.63 | 6.63115930923999 | -0.00115930923999041 |
17 | 6.63 | 6.63098123508501 | -0.00098123508500958 |
18 | 6.63 | 6.63083051377393 | -0.000830513773927954 |
19 | 6.63 | 6.63070294380951 | -0.000702943809512746 |
20 | 6.63 | 6.63059496905993 | -0.000594969059928729 |
21 | 6.63 | 6.63050357962825 | -0.000503579628246875 |
22 | 6.79 | 6.63042622794875 | 0.159573772051247 |
23 | 6.79 | 6.81493734511655 | -0.0249373451165482 |
24 | 6.79 | 6.81110687736393 | -0.0211068773639331 |
25 | 6.81 | 6.80786478351942 | 0.00213521648058279 |
26 | 6.8 | 6.82819276060902 | -0.0281927606090182 |
27 | 6.8 | 6.81386224908643 | -0.0138622490864275 |
28 | 6.85 | 6.8117329567397 | 0.0382670432602961 |
29 | 6.85 | 6.8676109150593 | -0.0176109150593016 |
30 | 6.85 | 6.86490581385813 | -0.0149058138581344 |
31 | 6.85 | 6.86261622613165 | -0.0126162261316454 |
32 | 6.85 | 6.86067832748481 | -0.0106783274848121 |
33 | 6.85 | 6.85903809718398 | -0.00903809718398119 |
34 | 6.86 | 6.8576498122785 | 0.00235018772150664 |
35 | 6.86 | 6.86801080973984 | -0.00801080973984103 |
36 | 6.88 | 6.86678031995685 | 0.0132196800431474 |
37 | 6.88 | 6.88881091133972 | -0.00881091133971612 |
38 | 6.88 | 6.88745752301389 | -0.00745752301388602 |
39 | 6.91 | 6.88631202010307 | 0.0236879798969323 |
40 | 6.91 | 6.91995058077165 | -0.0099505807716449 |
41 | 6.91 | 6.91842213503745 | -0.00842213503744826 |
42 | 6.91 | 6.91712846417881 | -0.00712846417880808 |
43 | 6.99 | 6.916033505913 | 0.0739664940869966 |
44 | 6.99 | 7.007395030929 | -0.0173950309290012 |
45 | 6.99 | 7.00472309032274 | -0.0147230903227387 |
46 | 7.02 | 7.00246156960205 | 0.0175384303979511 |
47 | 7.02 | 7.03515553689315 | -0.0151555368931477 |
48 | 7.05 | 7.03282759079177 | 0.0171724092082304 |
49 | 7.05 | 7.0654653358845 | -0.0154653358844978 |
50 | 7.05 | 7.0630898035208 | -0.0130898035208054 |
51 | 7.05 | 7.06107916164854 | -0.0110791616485377 |
52 | 7.1 | 7.05937736174873 | 0.040622638251266 |
53 | 7.1 | 7.11561714810612 | -0.0156171481061183 |
54 | 7.1 | 7.1132182968279 | -0.0132182968278958 |
55 | 7.1 | 7.11118791791197 | -0.0111879179119718 |
56 | 7.12 | 7.10946941265087 | 0.0105305873491304 |
57 | 7.13 | 7.13108694952452 | -0.00108694952451938 |
58 | 7.18 | 7.14091999008746 | 0.0390800099125386 |
59 | 7.24 | 7.19692282306917 | 0.0430771769308311 |
60 | 7.24 | 7.26353963557812 | -0.0235396355781221 |
61 | 7.24 | 7.25992386114147 | -0.0199238611414732 |
62 | 7.27 | 7.25686348293147 | 0.0131365170685287 |
63 | 7.27 | 7.28888130017615 | -0.0188813001761492 |
64 | 7.27 | 7.28598106315757 | -0.0159810631575663 |
65 | 7.27 | 7.28352631319154 | -0.0135263131915435 |
66 | 7.3 | 7.28144862183146 | 0.0185513781685369 |
67 | 7.3 | 7.31429818161856 | -0.014298181618563 |
68 | 7.57 | 7.31210192843464 | 0.257898071565365 |
69 | 7.76 | 7.62171601894731 | 0.13828398105269 |
70 | 7.94 | 7.83295694606485 | 0.107043053935151 |
71 | 7.94 | 8.02939915209455 | -0.0893991520945514 |
72 | 7.96 | 8.01566711415672 | -0.0556671141567167 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
73 | 8.02711644107336 | 7.9346022450535 | 8.11963063709323 |
74 | 8.09423288214672 | 7.9529918063214 | 8.23547395797205 |
75 | 8.16134932322008 | 7.97540746975661 | 8.34729117668355 |
76 | 8.22846576429344 | 7.99859895864992 | 8.45833256993696 |
77 | 8.2955822053668 | 8.02145441460777 | 8.56970999612583 |
78 | 8.36269864644016 | 8.04348062905613 | 8.68191666382419 |
79 | 8.42981508751352 | 8.06443184081302 | 8.79519833421402 |
80 | 8.49693152858688 | 8.08417948865127 | 8.90968356852248 |
81 | 8.56404796966024 | 8.1026565860264 | 9.02543935329408 |
82 | 8.6311644107336 | 8.11983077992569 | 9.1424980415415 |
83 | 8.69828085180696 | 8.1356901093075 | 9.26087159430641 |
84 | 8.76539729288032 | 8.15023497990236 | 9.38055960585827 |