Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 1 |
beta | 0.0679531906831734 |
gamma | FALSE |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
3 | 104.4 | 104.4 | 0 |
4 | 104.4 | 104.4 | 0 |
5 | 104.4 | 104.4 | 0 |
6 | 104.41 | 104.4 | 0.00999999999999091 |
7 | 104.42 | 104.410679531907 | 0.0093204680931791 |
8 | 104.68 | 104.421312887452 | 0.258687112547577 |
9 | 106.02 | 104.698891502139 | 1.32110849786135 |
10 | 106.35 | 106.128665039807 | 0.221334960193019 |
11 | 106.38 | 106.473705456562 | -0.0937054565618354 |
12 | 106.47 | 106.497337871804 | -0.027337871804022 |
13 | 106.5 | 106.585480176188 | -0.0854801761884545 |
14 | 106.56 | 106.609671525476 | -0.0496715254762847 |
15 | 113.07 | 106.666296186834 | 6.40370381316592 |
16 | 116.26 | 113.611448293129 | 2.6485517068713 |
17 | 118 | 116.9814258323 | 1.01857416770002 |
18 | 118.02 | 118.790641196943 | -0.770641196942648 |
19 | 118.04 | 118.758273668738 | -0.71827366873849 |
20 | 118.12 | 118.729464681164 | -0.609464681164013 |
21 | 118.12 | 118.76804961147 | -0.648049611470213 |
22 | 118.17 | 118.72401257265 | -0.554012572649825 |
23 | 118.22 | 118.73636565066 | -0.516365650659679 |
24 | 118.22 | 118.751276957138 | -0.531276957138147 |
25 | 118.23 | 118.715174992764 | -0.485174992764158 |
26 | 118.23 | 118.692205803966 | -0.462205803966157 |
27 | 118.23 | 118.660797444834 | -0.430797444834369 |
28 | 119.94 | 118.63152338392 | 1.30847661608027 |
29 | 120.88 | 120.430438544917 | 0.449561455083298 |
30 | 121.14 | 121.400987680198 | -0.260987680197772 |
31 | 121.16 | 121.643252734599 | -0.483252734599347 |
32 | 121.2 | 121.630414169377 | -0.430414169376945 |
33 | 121.2 | 121.641166153253 | -0.441166153252539 |
34 | 121.2 | 121.611187505518 | -0.411187505517603 |
35 | 121.2 | 121.583246002549 | -0.383246002548631 |
36 | 121.2 | 121.557203213859 | -0.357203213858881 |
37 | 121.22 | 121.532930115755 | -0.312930115754881 |
38 | 121.22 | 121.531665515928 | -0.311665515928482 |
39 | 121.95 | 121.510486849695 | 0.439513150304776 |
40 | 123.05 | 122.270353170606 | 0.779646829394352 |
41 | 123.44 | 123.423332660269 | 0.0166673397309864 |
42 | 123.65 | 123.814465259184 | -0.164465259183928 |
43 | 123.79 | 124.013289320066 | -0.223289320065845 |
44 | 123.87 | 124.138116098322 | -0.268116098321897 |
45 | 123.91 | 124.199896753967 | -0.289896753967412 |
46 | 123.94 | 124.220197344567 | -0.280197344566616 |
47 | 124.28 | 124.231157040982 | 0.0488429590176338 |
48 | 126.28 | 124.57447607589 | 1.70552392410998 |
49 | 126.68 | 126.69037186832 | -0.0103718683197798 |
50 | 126.69 | 127.089667066774 | -0.399667066774114 |
51 | 126.69 | 127.072508414376 | -0.38250841437582 |
52 | 126.99 | 127.046515747156 | -0.056515747155828 |
53 | 128.79 | 127.342675321813 | 1.44732467818726 |
54 | 128.84 | 129.24102565165 | -0.401025651650059 |
55 | 128.95 | 129.263774679075 | -0.313774679074669 |
56 | 128.97 | 129.352452688476 | -0.382452688475922 |
57 | 128.97 | 129.346463808009 | -0.376463808008623 |
58 | 128.97 | 129.320881891078 | -0.350881891077705 |
59 | 128.97 | 129.297038347026 | -0.327038347026047 |
60 | 128.97 | 129.27481504787 | -0.304815047869852 |
61 | 128.97 | 129.254101892799 | -0.284101892798873 |
62 | 128.98 | 129.234796262704 | -0.254796262704048 |
63 | 128.99 | 129.227482043679 | -0.237482043679137 |
64 | 129.07 | 129.221344381081 | -0.15134438108123 |
65 | 129.76 | 129.291060047495 | 0.468939952505224 |
66 | 130.47 | 130.012926013506 | 0.457073986493697 |
67 | 130.76 | 130.753985649267 | 0.00601435073315315 |
68 | 130.88 | 131.044394343589 | -0.164394343589038 |
69 | 131.04 | 131.153223223412 | -0.113223223411893 |
70 | 131.06 | 131.305529344122 | -0.245529344121621 |
71 | 131.13 | 131.308844841782 | -0.178844841782222 |
72 | 131.15 | 131.366691764146 | -0.216691764145878 |
73 | 131.16 | 131.371966867377 | -0.211966867377413 |
74 | 131.33 | 131.36756304242 | -0.0375630424199755 |
75 | 131.42 | 131.535010513836 | -0.115010513835813 |
76 | 131.86 | 131.617195182459 | 0.242804817541497 |
77 | 134.39 | 132.073694544524 | 2.31630545547625 |
78 | 135.59 | 134.76109489082 | 0.828905109179829 |
79 | 136.01 | 136.017421637763 | -0.00742163776254756 |
80 | 136.14 | 136.436917313796 | -0.296917313796484 |
81 | 136.74 | 136.546740834955 | 0.193259165045106 |
82 | 136.89 | 137.159873411849 | -0.269873411848522 |
83 | 136.82 | 137.291534652433 | -0.471534652432837 |
84 | 136.82 | 137.189492368282 | -0.369492368282351 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
85 | 137.164384182924 | 135.315069902433 | 139.013698463415 |
86 | 137.508768365849 | 134.803123599851 | 140.214413131847 |
87 | 137.853152548773 | 134.427771523624 | 141.278533573923 |
88 | 138.197536731698 | 134.112232299553 | 142.282841163843 |
89 | 138.541920914622 | 133.827949202832 | 143.255892626413 |
90 | 138.886305097547 | 133.560868923069 | 144.211741272025 |
91 | 139.230689280471 | 133.302998326806 | 145.158380234137 |
92 | 139.575073463396 | 133.049365657113 | 146.100781269678 |
93 | 139.91945764632 | 132.796685592331 | 147.04222970031 |
94 | 140.263841829245 | 132.542691499485 | 147.984992159005 |
95 | 140.608226012169 | 132.285769120711 | 148.930682903628 |
96 | 140.952610195094 | 132.024741193389 | 149.880479196798 |