Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.799216301497526 |
beta | 0.0327166432819145 |
gamma | 0.178232667757671 |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
13 | 104.73 | 103.368149038462 | 1.36185096153842 |
14 | 104.86 | 104.605955271144 | 0.254044728856243 |
15 | 105.03 | 104.979194049347 | 0.0508059506531282 |
16 | 105.62 | 105.610079540381 | 0.00992045961884003 |
17 | 105.63 | 105.625214744103 | 0.00478525589682022 |
18 | 105.63 | 105.60428759928 | 0.0257124007200389 |
19 | 105.94 | 106.116591422565 | -0.176591422564854 |
20 | 106.61 | 106.115926610697 | 0.494073389303139 |
21 | 107.69 | 107.667520252880 | 0.022479747119732 |
22 | 107.78 | 107.851546361662 | -0.0715463616618308 |
23 | 107.93 | 107.953971167219 | -0.0239711672189173 |
24 | 108.48 | 108.105875386774 | 0.374124613226144 |
25 | 108.14 | 108.934878889200 | -0.794878889200405 |
26 | 108.48 | 108.413765153321 | 0.066234846678725 |
27 | 108.48 | 108.629137151196 | -0.149137151195887 |
28 | 108.89 | 109.093040757292 | -0.203040757291632 |
29 | 108.93 | 108.926500713133 | 0.00349928686733847 |
30 | 109.21 | 108.893971676847 | 0.316028323153006 |
31 | 109.47 | 109.62732908891 | -0.157329088909989 |
32 | 109.8 | 109.662831326913 | 0.137168673087061 |
33 | 111.73 | 110.899743846488 | 0.830256153511883 |
34 | 111.85 | 111.734554159189 | 0.115445840811191 |
35 | 112.12 | 112.001579099023 | 0.118420900976702 |
36 | 112.15 | 112.298705324744 | -0.148705324744242 |
37 | 112.17 | 112.671523224133 | -0.501523224132512 |
38 | 112.67 | 112.426853503090 | 0.243146496910157 |
39 | 112.8 | 112.791708040123 | 0.00829195987742537 |
40 | 113.44 | 113.399418170121 | 0.0405818298789029 |
41 | 113.53 | 113.461262337451 | 0.0687376625489833 |
42 | 114.53 | 113.520048719502 | 1.00995128049817 |
43 | 114.51 | 114.837197086984 | -0.327197086983503 |
44 | 115.05 | 114.789171444357 | 0.260828555643485 |
45 | 116.67 | 116.194645785873 | 0.475354214127421 |
46 | 117.07 | 116.755880318670 | 0.314119681329529 |
47 | 116.92 | 117.222637946078 | -0.302637946078235 |
48 | 117 | 117.203520780676 | -0.203520780675873 |
49 | 117.02 | 117.548303100144 | -0.528303100144043 |
50 | 117.35 | 117.336578987286 | 0.0134210127140051 |
51 | 117.36 | 117.531121441968 | -0.171121441967898 |
52 | 117.82 | 118.013598569714 | -0.193598569714439 |
53 | 117.88 | 117.900167842967 | -0.0201678429666146 |
54 | 118.24 | 117.930135603758 | 0.309864396242048 |
55 | 118.5 | 118.630159634753 | -0.130159634753085 |
56 | 118.8 | 118.756052810572 | 0.0439471894284225 |
57 | 119.76 | 119.985598209489 | -0.225598209489263 |
58 | 120.09 | 119.952251008916 | 0.137748991084365 |
59 | 120.16 | 120.222768045257 | -0.0627680452567176 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
60 | 120.371967043331 | 119.648151913234 | 121.095782173427 |
61 | 120.846166554290 | 119.907652747071 | 121.784680361508 |
62 | 121.068253839470 | 119.945453998008 | 122.191053680931 |
63 | 121.237311691034 | 119.947257936845 | 122.527365445223 |
64 | 121.852067686060 | 120.405623019414 | 123.298512352706 |
65 | 121.900952866359 | 120.305557513444 | 123.496348219274 |
66 | 121.960759387669 | 120.221734500787 | 123.699784274552 |
67 | 122.391195401520 | 120.512450543337 | 124.269940259704 |
68 | 122.624555728944 | 120.609009455557 | 124.640102002331 |
69 | 123.805393517070 | 121.655240600546 | 125.955546433595 |
70 | 123.967311481243 | 121.684201543424 | 126.250421419063 |
71 | 124.118920294351 | 121.704082112494 | 126.533758476209 |