Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 1 |
beta | 0.11626637835925 |
gamma | 0.267447016888359 |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
13 | 104.31 | 103.888497473247 | 0.421502526752732 |
14 | 104.34 | 104.392354346072 | -0.0523543460724625 |
15 | 104.55 | 104.594244401859 | -0.0442444018589043 |
16 | 104.65 | 104.679935848224 | -0.0299358482235448 |
17 | 104.73 | 104.748532918829 | -0.0185329188294361 |
18 | 104.75 | 104.763867595833 | -0.0138675958332186 |
19 | 104.75 | 104.827628086965 | -0.077628086965305 |
20 | 104.76 | 104.796975461544 | -0.0369754615441167 |
21 | 104.94 | 104.914848819990 | 0.0251511800095301 |
22 | 105.29 | 105.140688744392 | 0.14931125560787 |
23 | 105.38 | 105.398785558175 | -0.0187855581754945 |
24 | 105.43 | 105.427643012973 | 0.00235698702741161 |
25 | 105.43 | 105.468182114807 | -0.0381821148070998 |
26 | 105.42 | 105.494052018153 | -0.0740520181529405 |
27 | 105.52 | 105.655248452267 | -0.135248452267049 |
28 | 105.69 | 105.619099917219 | 0.0709000827806676 |
29 | 105.72 | 105.769157465029 | -0.049157465028685 |
30 | 105.74 | 105.730361406839 | 0.00963859316080118 |
31 | 105.74 | 105.797289109625 | -0.0572891096250885 |
32 | 105.74 | 105.768805327199 | -0.0288053271987820 |
33 | 105.95 | 105.878671736985 | 0.0713282630153458 |
34 | 106.17 | 106.140298330969 | 0.0297016690309704 |
35 | 106.34 | 106.253440229095 | 0.0865597709048416 |
36 | 106.37 | 106.374015231714 | -0.00401523171397855 |
37 | 106.37 | 106.393748423012 | -0.0237484230123073 |
38 | 106.36 | 106.421571710426 | -0.0615717104262217 |
39 | 106.44 | 106.585807201723 | -0.145807201723457 |
40 | 106.29 | 106.527351257900 | -0.237351257900372 |
41 | 106.23 | 106.321356340546 | -0.0913563405458433 |
42 | 106.23 | 106.187393888605 | 0.042606111395429 |
43 | 106.23 | 106.238392940783 | -0.00839294078335229 |
44 | 106.23 | 106.215512848046 | 0.0144871519542136 |
45 | 106.34 | 106.330913808140 | 0.00908619185990744 |
46 | 106.44 | 106.485354870176 | -0.0453548701762827 |
47 | 106.44 | 106.469367742734 | -0.0293677427344932 |
48 | 106.48 | 106.406450990422 | 0.0735490095784854 |
49 | 106.5 | 106.445225678189 | 0.0547743218106547 |
50 | 106.57 | 106.502221409348 | 0.0677785906520967 |
51 | 106.4 | 106.761778007652 | -0.361778007651651 |
52 | 106.37 | 106.427916602032 | -0.0579166020315967 |
53 | 106.25 | 106.362787415179 | -0.112787415179270 |
54 | 106.21 | 106.166354688868 | 0.0436453111324369 |
55 | 106.21 | 106.17750350587 | 0.0324964941300294 |
56 | 106.24 | 106.159398102146 | 0.0806018978543932 |
57 | 106.19 | 106.312465538121 | -0.122465538121318 |
58 | 106.08 | 106.291407666463 | -0.211407666462961 |
59 | 106.13 | 106.046275929410 | 0.0837240705904776 |
60 | 106.09 | 106.046709116621 | 0.043290883378603 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
61 | 106.002083620089 | 105.783292590353 | 106.220874649825 |
62 | 105.944746486952 | 105.616917729477 | 106.272575244428 |
63 | 106.067979280668 | 105.643088719579 | 106.492869841757 |
64 | 106.070175599673 | 105.552721004287 | 106.587630195059 |
65 | 106.044063933702 | 105.435349488725 | 106.652778378679 |
66 | 105.954751405137 | 105.254958096060 | 106.654544714214 |
67 | 105.911439012840 | 105.119384024476 | 106.703494001204 |
68 | 105.846322030219 | 104.960827170117 | 106.731816890320 |
69 | 105.894508539229 | 104.912994651376 | 106.876022427082 |
70 | 105.985805791561 | 104.905951998179 | 107.065659584942 |
71 | 105.966854132353 | 104.787776402210 | 107.145931862496 |
72 | 105.888691034760 | 92.7818340680017 | 118.995548001517 |