Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 1 |
beta | 0.12705129384387 |
gamma | FALSE |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
3 | 15.73 | 15.74 | -0.00999999999999979 |
4 | 15.74 | 15.8087294870616 | -0.068729487061562 |
5 | 15.77 | 15.8099973168052 | -0.0399973168051648 |
6 | 15.78 | 15.8349156059548 | -0.0549156059547844 |
7 | 15.8 | 15.837938507166 | -0.0379385071660074 |
8 | 15.81 | 15.8531183707441 | -0.0431183707440628 |
9 | 15.82 | 15.8576401259526 | -0.0376401259525903 |
10 | 15.88 | 15.8628578992499 | 0.0171421007501333 |
11 | 15.85 | 15.9250358253294 | -0.0750358253293744 |
12 | 15.89 | 15.8855024266366 | 0.00449757336336631 |
13 | 15.92 | 15.9260738491516 | -0.00607384915160836 |
14 | 16.02 | 15.9553021587583 | 0.064697841241717 |
15 | 16.1 | 16.0635221031969 | 0.0364778968030528 |
16 | 16.13 | 16.1481566671825 | -0.0181566671824811 |
17 | 16.21 | 16.1758498391251 | 0.0341501608749475 |
18 | 16.25 | 16.2601886612492 | -0.0101886612491917 |
19 | 16.27 | 16.2988941786549 | -0.0288941786549444 |
20 | 16.21 | 16.3152231358723 | -0.105223135872276 |
21 | 16.21 | 16.2418544003174 | -0.0318544003173962 |
22 | 16.24 | 16.2378072575424 | 0.00219274245754875 |
23 | 16.32 | 16.2680858483087 | 0.0519141516912534 |
24 | 16.32 | 16.3546816084499 | -0.0346816084499295 |
25 | 16.36 | 16.3502752652238 | 0.0097247347762206 |
26 | 16.48 | 16.3915108053594 | 0.0884891946406157 |
27 | 16.54 | 16.5227534720297 | 0.0172465279703218 |
28 | 16.58 | 16.5849446657226 | -0.00494466572262198 |
29 | 16.56 | 16.6243164395449 | -0.0643164395449354 |
30 | 16.55 | 16.5961449526853 | -0.0461449526853208 |
31 | 16.58 | 16.5802821767423 | -0.000282176742288698 |
32 | 16.53 | 16.6102463258221 | -0.0802463258220847 |
33 | 16.6 | 16.5500509263002 | 0.0499490736998247 |
34 | 16.46 | 16.62639702074 | -0.166397020740042 |
35 | 16.48 | 16.4652560639633 | 0.0147439360367478 |
36 | 16.48 | 16.4871293001131 | -0.00712930011307122 |
37 | 16.49 | 16.4862235133095 | 0.0037764866904908 |
38 | 16.54 | 16.4967033208297 | 0.0432966791702825 |
39 | 16.67 | 16.5522042199374 | 0.117795780062558 |
40 | 16.72 | 16.6971703262037 | 0.0228296737962559 |
41 | 16.79 | 16.7500708657976 | 0.0399291342024135 |
42 | 16.86 | 16.8251439139601 | 0.0348560860399303 |
43 | 16.84 | 16.8995724247898 | -0.0595724247897778 |
44 | 16.86 | 16.8720036711428 | -0.0120036711428178 |
45 | 16.96 | 16.8904785891932 | 0.0695214108067539 |
46 | 17.01 | 16.9993113743861 | 0.0106886256139056 |
47 | 17.02 | 17.0506693780998 | -0.0306693780997591 |
48 | 17.04 | 17.0567727939308 | -0.0167727939307944 |
49 | 17.04 | 17.0746417887605 | -0.0346417887605099 |
50 | 17.39 | 17.0702405046774 | 0.319759495322579 |
51 | 17.54 | 17.460866362277 | 0.079133637722979 |
52 | 17.57 | 17.6209203933363 | -0.0509203933362947 |
53 | 17.58 | 17.6444508914799 | -0.0644508914798827 |
54 | 17.56 | 17.646262322328 | -0.0862623223279684 |
55 | 17.63 | 17.6153025826662 | 0.0146974173337746 |
56 | 17.67 | 17.6871699085546 | -0.0171699085546422 |
57 | 17.71 | 17.7249884494576 | -0.0149884494575971 |
58 | 17.75 | 17.7630841475613 | -0.0130841475612975 |
59 | 17.82 | 17.8014217896848 | 0.0185782103152121 |
60 | 17.86 | 17.8737821753426 | -0.0137821753426408 |
61 | 17.89 | 17.9120311321334 | -0.022031132133371 |
62 | 17.96 | 17.939232048291 | 0.0207679517090149 |
63 | 18 | 18.0118706434261 | -0.0118706434261036 |
64 | 18.08 | 18.0503624628201 | 0.0296375371799442 |
65 | 18 | 18.1341279502651 | -0.13412795026511 |
66 | 18.02 | 18.0370868206433 | -0.0170868206433035 |
67 | 18.01 | 18.0549159179729 | -0.0449159179728937 |
68 | 18.02 | 18.0392092924803 | -0.0192092924802552 |
69 | 17.95 | 18.0467687270168 | -0.0967687270168121 |
70 | 17.96 | 17.9644741350457 | -0.00447413504570093 |
71 | 18 | 17.9739056903993 | 0.0260943096006869 |
72 | 18.01 | 18.017221006196 | -0.00722100619604049 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
73 | 18.026303568016 | 17.9016935630614 | 18.1509135729706 |
74 | 18.042607136032 | 17.8548531176241 | 18.2303611544398 |
75 | 18.0589107040479 | 17.8146300252954 | 18.3031913828005 |
76 | 18.0752142720639 | 17.7763942847528 | 18.374034259375 |
77 | 18.0915178400799 | 17.7385109399009 | 18.4445247402589 |
78 | 18.1078214080959 | 17.7002238050421 | 18.5154190111497 |
79 | 18.1241249761119 | 17.6611341728862 | 18.5871157793375 |
80 | 18.1404285441279 | 17.6210161830175 | 18.6598409052382 |
81 | 18.1567321121438 | 17.5797370924472 | 18.7337271318404 |
82 | 18.1730356801598 | 17.5372181471804 | 18.8088532131392 |
83 | 18.1893392481758 | 17.4934135739306 | 18.885264922421 |
84 | 18.2056428161918 | 17.4482985252813 | 18.9629871071023 |