Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.172101349199545 |
beta | 1.00695276769591e-17 |
gamma | 0.56714601229616 |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
13 | 7.897 | 8.04931704059829 | -0.152317040598291 |
14 | 6.93 | 7.03634972158939 | -0.106349721589392 |
15 | 9.545 | 9.56775177353435 | -0.0227517735343454 |
16 | 9.11 | 9.11608281179655 | -0.00608281179655101 |
17 | 7.459 | 7.49111593419692 | -0.0321159341969199 |
18 | 7.32 | 7.3389187211083 | -0.0189187211083066 |
19 | 10.017 | 10.2761594328646 | -0.259159432864589 |
20 | 12.307 | 11.5472627273283 | 0.759737272671716 |
21 | 11.072 | 10.3379278528431 | 0.734072147156912 |
22 | 10.749 | 11.5183009756294 | -0.769300975629413 |
23 | 9.589 | 9.81339988896721 | -0.224399888967211 |
24 | 9.08 | 8.93606868116654 | 0.143931318833458 |
25 | 7.384 | 7.89873391652774 | -0.514733916527737 |
26 | 8.062 | 6.84497763243094 | 1.21702236756906 |
27 | 8.511 | 9.64338633832118 | -1.13238633832118 |
28 | 8.684 | 9.0085745054646 | -0.3245745054646 |
29 | 8.306 | 7.31657120052519 | 0.989428799474812 |
30 | 7.643 | 7.34637982612712 | 0.296620173872875 |
31 | 10.577 | 10.2251227233637 | 0.351877276636287 |
32 | 13.747 | 12.0797984264568 | 1.66720157354325 |
33 | 11.783 | 11.0145885943949 | 0.768411405605077 |
34 | 11.611 | 11.4949786081992 | 0.116021391800825 |
35 | 9.946 | 10.1982952347580 | -0.252295234757987 |
36 | 8.693 | 9.48910922139479 | -0.79610922139479 |
37 | 7.303 | 7.9807229199573 | -0.677722919957302 |
38 | 7.609 | 7.71204384688817 | -0.103043846888166 |
39 | 9.423 | 9.18012737892088 | 0.242872621079121 |
40 | 8.584 | 9.16129896664135 | -0.577298966641346 |
41 | 7.586 | 8.04277778851734 | -0.456777788517337 |
42 | 6.843 | 7.49839134998603 | -0.655391349986029 |
43 | 11.811 | 10.2392371674063 | 1.57176283259374 |
44 | 13.414 | 12.9214534259084 | 0.4925465740916 |
45 | 12.103 | 11.2320664708914 | 0.870933529108557 |
46 | 11.501 | 11.4237778528304 | 0.0772221471695875 |
47 | 8.213 | 9.94747790242363 | -1.73447790242363 |
48 | 7.982 | 8.72786414919892 | -0.745864149198918 |
49 | 7.687 | 7.2837121275989 | 0.403287872401103 |
50 | 7.18 | 7.47091094812189 | -0.290910948121889 |
51 | 7.862 | 9.06908371574186 | -1.20708371574186 |
52 | 8.043 | 8.41561297133932 | -0.372612971339322 |
53 | 8.34 | 7.38890797304869 | 0.951092026951311 |
54 | 6.692 | 6.9935609331211 | -0.301560933121097 |
55 | 10.065 | 10.8410381222180 | -0.776038122217965 |
56 | 12.684 | 12.6124600944143 | 0.0715399055856949 |
57 | 11.587 | 11.0282849145093 | 0.55871508549069 |
58 | 9.843 | 10.7935843004140 | -0.950584300414015 |
59 | 8.11 | 8.28973288608468 | -0.179732886084679 |
60 | 7.94 | 7.80188597453154 | 0.13811402546846 |
61 | 6.475 | 7.04943996131487 | -0.574439961314871 |
62 | 6.121 | 6.74241679207219 | -0.621416792072193 |
63 | 9.669 | 7.85352982957983 | 1.81547017042017 |
64 | 7.778 | 8.11206159500171 | -0.334061595001715 |
65 | 7.826 | 7.71352301560543 | 0.112476984394566 |
66 | 7.403 | 6.58567925308183 | 0.81732074691817 |
67 | 10.741 | 10.4029317455017 | 0.338068254498262 |
68 | 14.023 | 12.7640642224952 | 1.25893577750484 |
69 | 11.519 | 11.6129894248065 | -0.0939894248065176 |
70 | 10.236 | 10.5572819280311 | -0.321281928031121 |
71 | 8.075 | 8.52367942579023 | -0.448679425790234 |
72 | 8.157 | 8.13878810587794 | 0.0182118941220626 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
73 | 7.03113458956118 | 5.62536613496271 | 8.43690304415965 |
74 | 6.80091583890347 | 5.37448065926817 | 8.22735101853877 |
75 | 9.16319003178515 | 7.71638330818375 | 10.6099967553866 |
76 | 8.09998703650594 | 6.63309165195555 | 9.56688242105633 |
77 | 7.96860837318223 | 6.48189574359564 | 9.45532100276882 |
78 | 7.15235910019936 | 5.64608992879297 | 8.65862827160575 |
79 | 10.6039216527946 | 9.07834661678805 | 12.1294966888011 |
80 | 13.3392557282312 | 11.7946161054572 | 14.8838953510051 |
81 | 11.3362646720642 | 9.7727929140844 | 12.8997364300439 |
82 | 10.1900100923407 | 8.60793034980008 | 11.7720898348813 |
83 | 8.15188249638564 | 6.55141110160396 | 9.75235389116732 |
84 | 8.06343338981141 | 6.44477930098593 | 9.68208747863689 |