Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 1 |
beta | 0.135378673676589 |
gamma | FALSE |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
3 | 1.07 | 1.09 | -0.02 |
4 | 1.06 | 1.08729242652647 | -0.0272924265264682 |
5 | 1.08 | 1.0735976140219 | 0.00640238597810083 |
6 | 1.11 | 1.09446436054398 | 0.01553563945602 |
7 | 1.09 | 1.12656755480825 | -0.0365675548082538 |
8 | 1.1 | 1.10161708773872 | -0.00161708773871649 |
9 | 1.11 | 1.11139816854543 | -0.00139816854543029 |
10 | 1.12 | 1.12120888634217 | -0.00120888634217353 |
11 | 1.13 | 1.13104522891254 | -0.00104522891254466 |
12 | 1.13 | 1.14090372720868 | -0.0109037272086756 |
13 | 1.13 | 1.13942759508103 | -0.00942759508103386 |
14 | 1.18 | 1.138151299763 | 0.0418487002369965 |
15 | 1.21 | 1.19381672129618 | 0.0161832787038227 |
16 | 1.22 | 1.22600759210284 | -0.0060075921028393 |
17 | 1.22 | 1.23519429225197 | -0.015194292251967 |
18 | 1.24 | 1.23313730911944 | 0.00686269088055869 |
19 | 1.24 | 1.2540663711087 | -0.0140663711087037 |
20 | 1.25 | 1.25216208444456 | -0.00216208444456467 |
21 | 1.25 | 1.26186938432008 | -0.0118693843200828 |
22 | 1.26 | 1.26026252281347 | -0.000262522813472277 |
23 | 1.26 | 1.27022698282317 | -0.0102269828231745 |
24 | 1.26 | 1.26884246745286 | -0.00884246745285999 |
25 | 1.26 | 1.26764538593706 | -0.00764538593706332 |
26 | 1.3 | 1.26661036372916 | 0.0333896362708419 |
27 | 1.32 | 1.31113060840205 | 0.00886939159795164 |
28 | 1.34 | 1.3323313348729 | 0.00766866512710274 |
29 | 1.35 | 1.35336950858667 | -0.00336950858667451 |
30 | 1.35 | 1.36291334898327 | -0.0129133489832685 |
31 | 1.34 | 1.36116515692519 | -0.0211651569251907 |
32 | 1.33 | 1.3482998460525 | -0.0182998460525015 |
33 | 1.32 | 1.33582243716543 | -0.0158224371654281 |
34 | 1.32 | 1.32368041660764 | -0.0036804166076414 |
35 | 1.33 | 1.32318216668872 | 0.0068178333112785 |
36 | 1.31 | 1.33410515591975 | -0.0241051559197505 |
37 | 1.33 | 1.31084183188257 | 0.0191581681174327 |
38 | 1.34 | 1.33343543927238 | 0.00656456072762146 |
39 | 1.34 | 1.34432414079695 | -0.0043241407969532 |
40 | 1.33 | 1.34373874435107 | -0.0137387443510708 |
41 | 1.3 | 1.33187881136284 | -0.0318788113628412 |
42 | 1.28 | 1.29756310016215 | -0.0175631001621537 |
43 | 1.27 | 1.27518543095655 | -0.00518543095655222 |
44 | 1.28 | 1.26448343419121 | 0.0155165658087875 |
45 | 1.27 | 1.27658404629042 | -0.00658404629042164 |
46 | 1.29 | 1.2656927068362 | 0.0243072931638009 |
47 | 1.28 | 1.28898339594538 | -0.00898339594538267 |
48 | 1.29 | 1.27776723571718 | 0.0122327642828151 |
49 | 1.28 | 1.28942329112119 | -0.00942329112119089 |
50 | 1.28 | 1.27814757846754 | 0.00185242153246423 |
51 | 1.28 | 1.27839835683769 | 0.00160164316230937 |
52 | 1.25 | 1.27861518516471 | -0.0286151851647072 |
53 | 1.24 | 1.2447412993501 | -0.00474129935009926 |
54 | 1.24 | 1.23409942853258 | 0.00590057146742096 |
55 | 1.25 | 1.23489824007177 | 0.0151017599282275 |
56 | 1.25 | 1.24694269630104 | 0.00305730369896184 |
57 | 1.26 | 1.24735659002083 | 0.0126434099791699 |
58 | 1.26 | 1.25906823809456 | 0.000931761905440531 |
59 | 1.26 | 1.2591943787855 | 0.000805621214499563 |
60 | 1.28 | 1.25930344271701 | 0.0206965572829949 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
61 | 1.28210531519165 | 1.25186698945347 | 1.31234364092983 |
62 | 1.2842106303833 | 1.2384608856192 | 1.32996037514739 |
63 | 1.28631594557495 | 1.22657011785798 | 1.34606177329192 |
64 | 1.28842126076659 | 1.21509018811484 | 1.36175233341835 |
65 | 1.29052657595824 | 1.20363468031784 | 1.37741847159865 |
66 | 1.29263189114989 | 1.19202699372061 | 1.39323678857918 |
67 | 1.29473720634154 | 1.18017546179054 | 1.40929895089254 |
68 | 1.29684252153319 | 1.1680292425849 | 1.42565580048147 |
69 | 1.29894783672484 | 1.15555933137915 | 1.44233634207052 |
70 | 1.30105315191648 | 1.14274927725721 | 1.45935702657576 |
71 | 1.30315846710813 | 1.12959022071493 | 1.47672671350134 |
72 | 1.30526378229978 | 1.11607806069565 | 1.49444950390392 |