Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 1 |
beta | 0.0395252367775957 |
gamma | FALSE |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
3 | 9.39 | 9.34 | 0.0500000000000025 |
4 | 9.42 | 9.44197626183888 | -0.0219762618388799 |
5 | 9.42 | 9.47110764488621 | -0.0511076448862102 |
6 | 9.43 | 9.46908760312094 | -0.0390876031209384 |
7 | 9.5 | 9.47754265635251 | 0.0224573436474866 |
8 | 9.53 | 9.54843028817758 | -0.0184302881775782 |
9 | 9.58 | 9.57770182667348 | 0.0022981733265226 |
10 | 9.58 | 9.62779266251836 | -0.0477926625183649 |
11 | 9.6 | 9.62590364621609 | -0.0259036462160953 |
12 | 9.61 | 9.644879798466 | -0.034879798466001 |
13 | 9.65 | 9.65350116617288 | -0.00350116617287632 |
14 | 9.71 | 9.6933627817509 | 0.0166372182491035 |
15 | 9.78 | 9.75402037174151 | 0.0259796282584848 |
16 | 9.79 | 9.82504722269982 | -0.0350472226998235 |
17 | 9.84 | 9.83366197292422 | 0.00633802707578468 |
18 | 9.87 | 9.88391248494509 | -0.0139124849450898 |
19 | 9.9 | 9.91336259068347 | -0.0133625906834691 |
20 | 9.95 | 9.94283443112274 | 0.00716556887725517 |
21 | 9.96 | 9.99311765192926 | -0.0331176519292615 |
22 | 9.98 | 10.0018086688952 | -0.0218086688952415 |
23 | 10.01 | 10.0209466760934 | -0.0109466760933525 |
24 | 10 | 10.0505140061288 | -0.0505140061288358 |
25 | 10.03 | 10.038517428076 | -0.00851742807600964 |
26 | 10.05 | 10.0681807747146 | -0.0181807747145672 |
27 | 10.06 | 10.0874621752892 | -0.0274621752891751 |
28 | 10.09 | 10.0963767263084 | -0.00637672630844222 |
29 | 10.24 | 10.1261246846912 | 0.113875315308766 |
30 | 10.23 | 10.2806256334919 | -0.0506256334919364 |
31 | 10.27 | 10.2686246433412 | 0.00137535665884592 |
32 | 10.28 | 10.3086790046387 | -0.0286790046387466 |
33 | 10.29 | 10.3175454601899 | -0.0275454601898559 |
34 | 10.44 | 10.3264567193537 | 0.113543280646297 |
35 | 10.51 | 10.4809445444058 | 0.0290554555942482 |
36 | 10.52 | 10.5520929681678 | -0.0320929681677971 |
37 | 10.57 | 10.5608244860021 | 0.00917551399793304 |
38 | 10.62 | 10.6111871503654 | 0.00881284963460693 |
39 | 10.71 | 10.6615354803339 | 0.0484645196661155 |
40 | 10.73 | 10.753451051949 | -0.023451051949003 |
41 | 10.74 | 10.772524143568 | -0.0325241435680343 |
42 | 10.75 | 10.7812386190925 | -0.0312386190925196 |
43 | 10.79 | 10.7900039052763 | -3.90527628191251e-06 |
44 | 10.81 | 10.8300037509193 | -0.0200037509193098 |
45 | 10.87 | 10.8492130979278 | 0.0207869020722118 |
46 | 10.92 | 10.9100347051541 | 0.00996529484593722 |
47 | 10.95 | 10.9604285857924 | -0.0104285857924076 |
48 | 10.94 | 10.9900163934697 | -0.050016393469706 |
49 | 10.97 | 10.9780394836751 | -0.00803948367505392 |
50 | 10.99 | 11.0077217211792 | -0.01772172117923 |
51 | 11.04 | 11.0270212659535 | 0.0129787340464844 |
52 | 11.09 | 11.0775342534898 | 0.0124657465102267 |
53 | 11.12 | 11.1280269650722 | -0.00802696507220091 |
54 | 11.11 | 11.1577096973771 | -0.0477096973771154 |
55 | 11.14 | 11.1458239602917 | -0.00582396029169807 |
56 | 11.2 | 11.1755937668822 | 0.0244062331178121 |
57 | 11.25 | 11.236558429025 | 0.0134415709749849 |
58 | 11.3 | 11.2870897103005 | 0.0129102896995352 |
59 | 11.31 | 11.3375999925577 | -0.0275999925577075 |
60 | 11.31 | 11.3465090963168 | -0.036509096316804 |
61 | 11.33 | 11.3450660656403 | -0.0150660656403474 |
62 | 11.41 | 11.3644705758286 | 0.045529424171395 |
63 | 11.46 | 11.4462701370993 | 0.0137298629006732 |
64 | 11.48 | 11.4968128131814 | -0.0168128131813994 |
65 | 11.58 | 11.5161482827595 | 0.0638517172404924 |
66 | 11.63 | 11.6186720370021 | 0.0113279629979068 |
67 | 11.69 | 11.6691197774218 | 0.0208802225782048 |
68 | 11.74 | 11.7299450731632 | 0.0100549268368351 |
69 | 11.68 | 11.7803424965272 | -0.100342496527174 |
70 | 11.69 | 11.7163764355931 | -0.0263764355930824 |
71 | 11.71 | 11.7253339007309 | -0.0153339007309157 |
72 | 11.75 | 11.7447278246738 | 0.00527217532619595 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
73 | 11.7849362086519 | 11.7168207211174 | 11.8530516961865 |
74 | 11.8198724173038 | 11.7216203959772 | 11.9181244386304 |
75 | 11.8548086259557 | 11.73210688632 | 11.9775103655914 |
76 | 11.8897448346076 | 11.7453115003729 | 12.0341781688423 |
77 | 11.9246810432595 | 11.760109569936 | 12.089252516583 |
78 | 11.9596172519114 | 11.7759366621849 | 12.143297841638 |
79 | 11.9945534605633 | 11.7924647364321 | 12.1966421846945 |
80 | 12.0294896692152 | 11.8094847903616 | 12.2494945480689 |
81 | 12.0644258778671 | 11.8268549648977 | 12.3019967908365 |
82 | 12.099362086519 | 11.8444744150211 | 12.354249758017 |
83 | 12.1342982951709 | 11.8622688801282 | 12.4063277102136 |
84 | 12.1692345038228 | 11.8801821415402 | 12.4582868661055 |