Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 1 |
beta | 0.124032017510616 |
gamma | FALSE |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
3 | 100.44 | 100.08 | 0.360000000000014 |
4 | 101.59 | 100.354651526304 | 1.23534847369619 |
5 | 102.44 | 101.657874289825 | 0.78212571017498 |
6 | 103.1 | 102.604882919605 | 0.495117080395062 |
7 | 103.34 | 103.32629328999 | 0.0137067100096999 |
8 | 103.44 | 103.567993360886 | -0.127993360886251 |
9 | 103.35 | 103.652118086108 | -0.302118086107555 |
10 | 103.67 | 103.524645770361 | 0.145354229638812 |
11 | 104.13 | 103.862674348717 | 0.267325651283002 |
12 | 104.27 | 104.355831288578 | -0.085831288577964 |
13 | 104.75 | 104.48518546069 | 0.264814539309896 |
14 | 104.82 | 104.998030942267 | -0.178030942266858 |
15 | 104.69 | 105.045949405318 | -0.355949405318171 |
16 | 104.87 | 104.871800282445 | -0.00180028244486152 |
17 | 104.74 | 105.051576989781 | -0.311576989781145 |
18 | 104.85 | 104.882931467129 | -0.0329314671286909 |
19 | 104.8 | 104.988846910821 | -0.188846910821141 |
20 | 104.13 | 104.915423847471 | -0.78542384747135 |
21 | 104.02 | 104.148006143069 | -0.128006143068518 |
22 | 104.46 | 104.02212928289 | 0.437870717110016 |
23 | 105.58 | 104.516439271342 | 1.06356072865805 |
24 | 106.94 | 105.768354854262 | 1.17164514573753 |
25 | 108.41 | 107.273676365495 | 1.13632363450517 |
26 | 109.05 | 108.884616878427 | 0.165383121572503 |
27 | 108.75 | 109.545129680658 | -0.795129680658334 |
28 | 108.96 | 109.146508142184 | -0.186508142183712 |
29 | 108.46 | 109.333375161026 | -0.873375161026502 |
30 | 107.51 | 108.725048677761 | -1.21504867776072 |
31 | 107.27 | 107.624343738884 | -0.354343738884467 |
32 | 106.72 | 107.340393770058 | -0.620393770058371 |
33 | 108.94 | 106.713445079107 | 2.22655492089299 |
34 | 112.02 | 109.209609178044 | 2.81039082195645 |
35 | 112.46 | 112.638187621684 | -0.178187621684131 |
36 | 113.56 | 113.056086651471 | 0.503913348528783 |
37 | 113.64 | 114.21858804074 | -0.578588040739788 |
38 | 114.13 | 114.226824598739 | -0.0968245987393175 |
39 | 116.44 | 114.704815248413 | 1.73518475158698 |
40 | 117.71 | 117.230033713906 | 0.479966286093983 |
41 | 117.57 | 118.559564900707 | -0.989564900707322 |
42 | 117.25 | 118.296827169615 | -1.0468271696149 |
43 | 117.33 | 117.846987083783 | -0.516987083782638 |
44 | 117.36 | 117.862864132754 | -0.502864132754155 |
45 | 117.18 | 117.830492879835 | -0.650492879834914 |
46 | 117.21 | 117.569810935573 | -0.359810935572725 |
47 | 117.44 | 117.555182859311 | -0.115182859311233 |
48 | 117.54 | 117.770896496888 | -0.230896496888221 |
49 | 119.07 | 117.842257938543 | 1.22774206145694 |
50 | 118.5 | 119.524537263408 | -1.02453726340819 |
51 | 118.69 | 118.827461839613 | -0.137461839612882 |
52 | 118.38 | 119.000412170315 | -0.620412170314964 |
53 | 118.45 | 118.613461197143 | -0.163461197142652 |
54 | 117.88 | 118.663186775076 | -0.78318677507636 |
55 | 118.52 | 117.996046539276 | 0.523953460724002 |
56 | 118.26 | 118.701033544091 | -0.441033544091255 |
57 | 118.39 | 118.386331263828 | 0.00366873617221586 |
58 | 117.87 | 118.516786304577 | -0.646786304576921 |
59 | 118.36 | 117.916564094322 | 0.443435905677973 |
60 | 117.91 | 118.46156434434 | -0.551564344339909 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
61 | 117.943152705925 | 116.384504905761 | 119.501800506088 |
62 | 117.976305411849 | 115.631357234191 | 120.321253589507 |
63 | 118.009458117774 | 114.962665715422 | 121.056250520125 |
64 | 118.042610823698 | 114.320163255698 | 121.765058391698 |
65 | 118.075763529623 | 113.683207919668 | 122.468319139577 |
66 | 118.108916235547 | 113.042213403989 | 123.175619067105 |
67 | 118.142068941472 | 112.39209839746 | 123.892039485483 |
68 | 118.175221647396 | 111.729964260931 | 124.620479033861 |
69 | 118.208374353321 | 111.054091082729 | 125.362657623912 |
70 | 118.241527059245 | 110.363444345702 | 126.119609772788 |
71 | 118.27467976517 | 109.657409656566 | 126.891949873773 |
72 | 118.307832471094 | 108.935640265655 | 127.680024676533 |