Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.627060828465961 |
beta | 0 |
gamma | 0.400037464658975 |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
13 | 110.99 | 110.022106749733 | 0.967893250267252 |
14 | 110.99 | 110.69326324263 | 0.296736757369644 |
15 | 111.98 | 111.905145110307 | 0.0748548896933841 |
16 | 114.26 | 114.145278054048 | 0.11472194595153 |
17 | 114.26 | 114.027828739147 | 0.232171260853107 |
18 | 114.44 | 114.164360924776 | 0.275639075223566 |
19 | 115.47 | 116.168685875243 | -0.698685875243129 |
20 | 115.41 | 116.125318855673 | -0.715318855673104 |
21 | 114.63 | 113.794555794239 | 0.835444205761476 |
22 | 116.48 | 114.338710231987 | 2.14128976801297 |
23 | 115.8 | 114.384818848898 | 1.41518115110183 |
24 | 115.18 | 115.293178499606 | -0.113178499606292 |
25 | 115.18 | 115.393627064117 | -0.21362706411746 |
26 | 115.18 | 115.214801329573 | -0.034801329572602 |
27 | 115.18 | 116.216771259392 | -1.03677125939164 |
28 | 116.38 | 117.830500970525 | -1.4505009705248 |
29 | 122.41 | 116.740582719844 | 5.66941728015649 |
30 | 122.47 | 120.282894192934 | 2.18710580706637 |
31 | 123.09 | 123.435231426943 | -0.345231426942959 |
32 | 123.09 | 123.623851250126 | -0.533851250125778 |
33 | 123.09 | 121.514867157038 | 1.57513284296165 |
34 | 123.09 | 122.715668085466 | 0.374331914533713 |
35 | 121.77 | 121.448508350748 | 0.321491649251712 |
36 | 121.52 | 121.422150808534 | 0.0978491914658548 |
37 | 121.52 | 121.638403197227 | -0.118403197226613 |
38 | 121.52 | 121.534869780959 | -0.0148697809585769 |
39 | 121.52 | 122.436879263399 | -0.916879263398982 |
40 | 124.73 | 124.174853239955 | 0.555146760045162 |
41 | 125.23 | 125.424561661307 | -0.194561661307432 |
42 | 124.62 | 124.74173549829 | -0.121735498289866 |
43 | 128.94 | 126.095103370003 | 2.84489662999708 |
44 | 129.34 | 128.262914036844 | 1.07708596315601 |
45 | 127.17 | 127.40015750051 | -0.230157500509534 |
46 | 128.08 | 127.28403060473 | 0.795969395269807 |
47 | 124.54 | 126.207494291929 | -1.66749429192851 |
48 | 121.21 | 124.887874239384 | -3.67787423938367 |
49 | 120.85 | 122.703698462582 | -1.8536984625819 |
50 | 119.02 | 121.527483710461 | -2.50748371046113 |
51 | 119.13 | 120.72362228019 | -1.59362228018979 |
52 | 119.84 | 122.218083816926 | -2.37808381692572 |
53 | 125.53 | 121.497899828029 | 4.03210017197115 |
54 | 124.16 | 123.483647428219 | 0.676352571781038 |
55 | 127.32 | 125.764192041966 | 1.55580795803407 |
56 | 127.22 | 126.85994972895 | 0.360050271049815 |
57 | 122.57 | 125.382454396309 | -2.81245439630861 |
58 | 125.45 | 123.799880962798 | 1.65011903720161 |
59 | 125.45 | 122.940417272182 | 2.50958272781784 |
60 | 127.32 | 123.932278933112 | 3.3877210668884 |
61 | 128.79 | 126.455025760517 | 2.33497423948255 |
62 | 128.99 | 127.786497652618 | 1.20350234738207 |
63 | 129.8 | 129.497856599924 | 0.302143400075749 |
64 | 130.33 | 132.246186303389 | -1.91618630338948 |
65 | 131.19 | 132.89494006926 | -1.70494006925958 |
66 | 132.02 | 130.711093305339 | 1.30890669466095 |
67 | 136.97 | 133.62661136704 | 3.34338863296003 |
68 | 139.45 | 135.64766224578 | 3.80233775422016 |
69 | 128.31 | 135.646407881477 | -7.33640788147707 |
70 | 130.73 | 131.932611243959 | -1.20261124395861 |
71 | 129.83 | 129.31246962409 | 0.517530375909729 |
72 | 125.46 | 129.153228951516 | -3.69322895151639 |
73 | 130.23 | 127.07485939266 | 3.15514060734007 |
74 | 130.23 | 128.747791154822 | 1.48220884517767 |
75 | 132.65 | 130.504117336585 | 2.14588266341485 |
76 | 136.34 | 134.108275572033 | 2.23172442796678 |
77 | 139.12 | 137.448862410826 | 1.67113758917441 |
78 | 133.94 | 137.785455573964 | -3.84545557396413 |
79 | 143.09 | 137.825579273298 | 5.2644207267021 |
80 | 142.71 | 141.102419792876 | 1.60758020712433 |
81 | 136.09 | 137.916509984556 | -1.82650998455591 |
82 | 134.57 | 138.656475446989 | -4.08647544698891 |
83 | 134.65 | 134.414613892772 | 0.235386107227782 |
84 | 134.35 | 133.391410800937 | 0.958589199062686 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
85 | 135.309634311507 | 131.972175678913 | 138.6470929441 |
86 | 134.719864127836 | 130.439172210169 | 139.000556045503 |
87 | 135.669893782422 | 130.594702011469 | 140.745085553376 |
88 | 137.992912499062 | 132.185971490292 | 143.799853507833 |
89 | 139.874945029243 | 133.415401792327 | 146.334488266158 |
90 | 138.316303656832 | 131.384131903557 | 145.248475410107 |
91 | 142.202377719024 | 134.605346791889 | 149.799408646159 |
92 | 141.629281515 | 133.603947294726 | 149.654615735274 |
93 | 136.945494471941 | 128.724539665822 | 145.16644927806 |
94 | 138.486569227244 | 129.761941785251 | 147.211196669237 |
95 | 137.424887902654 | 128.364385294397 | 146.48539051091 |
96 | 136.335142958118 | 116.678371616098 | 155.991914300138 |