Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.824124154937339 |
beta | 0 |
gamma | 1 |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
13 | 1.2159 | 1.21481549145299 | 0.00108450854700815 |
14 | 1.1922 | 1.19014760613116 | 0.00205239386883771 |
15 | 1.2114 | 1.20910237848226 | 0.0022976215177386 |
16 | 1.2614 | 1.25777591552895 | 0.00362408447105467 |
17 | 1.2812 | 1.27404678940275 | 0.00715321059724694 |
18 | 1.2786 | 1.26838443469631 | 0.0102155653036904 |
19 | 1.2772 | 1.23867917380777 | 0.0385208261922347 |
20 | 1.2815 | 1.30482596212927 | -0.0233259621292741 |
21 | 1.2679 | 1.26379915162306 | 0.00410084837693625 |
22 | 1.2765 | 1.27232543814791 | 0.0041745618520892 |
23 | 1.3247 | 1.25737080706151 | 0.0673291929384907 |
24 | 1.3191 | 1.31476343294957 | 0.00433656705043250 |
25 | 1.3029 | 1.34844971978419 | -0.045549719784195 |
26 | 1.3234 | 1.28551966809666 | 0.0378803319033416 |
27 | 1.3354 | 1.33404423922357 | 0.00135576077642630 |
28 | 1.3651 | 1.38217485887561 | -0.0170748588756138 |
29 | 1.3453 | 1.38200792159553 | -0.0367079215955290 |
30 | 1.3534 | 1.34073714260800 | 0.0126628573920033 |
31 | 1.3706 | 1.31802696592211 | 0.0525730340778903 |
32 | 1.3638 | 1.38487716203193 | -0.0210771620319317 |
33 | 1.4268 | 1.35052735548072 | 0.0762726445192803 |
34 | 1.4485 | 1.41854512693142 | 0.029954873068579 |
35 | 1.4635 | 1.43594404715227 | 0.0275559528477276 |
36 | 1.4587 | 1.44947970385063 | 0.0092202961493677 |
37 | 1.4876 | 1.47841699694778 | 0.00918300305221598 |
38 | 1.5189 | 1.47526683505939 | 0.0436331649406088 |
39 | 1.5783 | 1.52210866503914 | 0.0561913349608576 |
40 | 1.5633 | 1.6121891051201 | -0.0488891051200999 |
41 | 1.5554 | 1.58235029754178 | -0.0269502975417761 |
42 | 1.5757 | 1.55780413970757 | 0.0178958602924271 |
43 | 1.5593 | 1.54642584316601 | 0.0128741568339867 |
44 | 1.466 | 1.56760594513540 | -0.101605945135396 |
45 | 1.4065 | 1.48401190275479 | -0.0775119027547904 |
46 | 1.2759 | 1.41714593694552 | -0.141245936945515 |
47 | 1.2705 | 1.29303222216783 | -0.0225322221678332 |
48 | 1.3954 | 1.26206420484254 | 0.133335795157462 |
49 | 1.2793 | 1.39328151971938 | -0.113981519719385 |
50 | 1.2694 | 1.29468745091825 | -0.0252874509182524 |
51 | 1.3282 | 1.28693881536031 | 0.0412611846396893 |
52 | 1.323 | 1.34623384672595 | -0.0232338467259532 |
53 | 1.4135 | 1.34139666361391 | 0.0721033363860906 |
54 | 1.4042 | 1.40637035404089 | -0.00217035404088617 |
55 | 1.4253 | 1.37757180922969 | 0.0477281907703144 |
56 | 1.4322 | 1.40734167778628 | 0.0248583222137231 |
57 | 1.4632 | 1.4322074529292 | 0.0309925470708017 |
58 | 1.4713 | 1.44355334801683 | 0.0277466519831659 |
59 | 1.5016 | 1.47958938268773 | 0.0220106173122729 |
60 | 1.4318 | 1.51274361457281 | -0.0809436145728115 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
61 | 1.42387095023263 | 1.32541206914885 | 1.52232983131641 |
62 | 1.43481094935116 | 1.30722477863904 | 1.56239712006327 |
63 | 1.45960661042826 | 1.30840373132310 | 1.61080948953342 |
64 | 1.47355418472723 | 1.30195467906826 | 1.64515369038619 |
65 | 1.50463208355988 | 1.31481514534015 | 1.69444902177960 |
66 | 1.49712072474974 | 1.29068780652248 | 1.70355364297700 |
67 | 1.47888676986446 | 1.25707912928251 | 1.70069441044642 |
68 | 1.46530042607692 | 1.22911679177250 | 1.70148406038134 |
69 | 1.47075871941284 | 1.2210252839142 | 1.72049215491148 |
70 | 1.45599203329487 | 1.19340705943181 | 1.71857700715793 |
71 | 1.46815255190275 | 1.19331633123419 | 1.74298877257130 |
72 | 1.46506013986014 | 1.17849596225923 | 1.75162431746105 |