Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 1 |
beta | 0.0796336282309531 |
gamma | FALSE |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
3 | 14.21 | 14.18 | 0.0300000000000011 |
4 | 14.26 | 14.2323890088469 | 0.02761099115307 |
5 | 14.29 | 14.2845877722515 | 0.00541222774849892 |
6 | 14.32 | 14.3150187675839 | 0.00498123241607651 |
7 | 14.33 | 14.3454154411943 | -0.0154154411942784 |
8 | 14.39 | 14.3541878536812 | 0.0358121463188024 |
9 | 14.48 | 14.4170397048273 | 0.0629602951726973 |
10 | 14.44 | 14.5120534615664 | -0.0720534615663961 |
11 | 14.46 | 14.4663155829953 | -0.00631558299526169 |
12 | 14.48 | 14.485812650207 | -0.00581265020695731 |
13 | 14.53 | 14.5053497677813 | 0.0246502322186597 |
14 | 14.58 | 14.5573127552096 | 0.0226872447903528 |
15 | 14.62 | 14.6091194228269 | 0.0108805771731326 |
16 | 14.62 | 14.6499858826644 | -0.0299858826644108 |
17 | 14.61 | 14.6475979980321 | -0.037597998032135 |
18 | 14.65 | 14.6346039330346 | 0.0153960669653852 |
19 | 14.68 | 14.6758299777076 | 0.0041700222924419 |
20 | 14.7 | 14.7061620517125 | -0.00616205171250783 |
21 | 14.78 | 14.7256713451773 | 0.0543286548227062 |
22 | 14.84 | 14.8099977330777 | 0.030002266922267 |
23 | 14.89 | 14.8723869224479 | 0.0176130775520935 |
24 | 14.89 | 14.9237895157177 | -0.0337895157176931 |
25 | 15.13 | 14.9210987339849 | 0.208901266015074 |
26 | 15.25 | 15.1777342997397 | 0.0722657002602531 |
27 | 15.33 | 15.3034890796481 | 0.0265109203518801 |
28 | 15.36 | 15.3856002404235 | -0.0256002404234827 |
29 | 15.4 | 15.413561600395 | -0.0135616003949757 |
30 | 15.4 | 15.4524816409509 | -0.052481640950905 |
31 | 15.41 | 15.4483023374665 | -0.0383023374664706 |
32 | 15.47 | 15.4552521833643 | 0.01474781663571 |
33 | 15.54 | 15.5164266055115 | 0.0235733944885226 |
34 | 15.55 | 15.5883038404443 | -0.0383038404443159 |
35 | 15.59 | 15.5952535666546 | -0.00525356665455767 |
36 | 15.65 | 15.6348352060807 | 0.0151647939193005 |
37 | 15.75 | 15.6960428336419 | 0.0539571663581295 |
38 | 15.86 | 15.800339638568 | 0.0596603614319715 |
39 | 15.89 | 15.9150906096104 | -0.0250906096104249 |
40 | 15.94 | 15.9430925533326 | -0.00309255333262293 |
41 | 15.93 | 15.9928462820902 | -0.0628462820902467 |
42 | 15.95 | 15.9778416046266 | -0.027841604626575 |
43 | 15.99 | 15.9956244766344 | -0.00562447663438803 |
44 | 15.99 | 16.0351765791531 | -0.0451765791530914 |
45 | 16.06 | 16.0315790042441 | 0.0284209957559298 |
46 | 16.08 | 16.103842271254 | -0.0238422712540505 |
47 | 16.07 | 16.1219436246888 | -0.0519436246888212 |
48 | 16.11 | 16.1078071653914 | 0.00219283460861419 |
49 | 16.15 | 16.1479817887674 | 0.00201821123262036 |
50 | 16.18 | 16.1881425062504 | -0.00814250625036905 |
51 | 16.3 | 16.2174940889348 | 0.0825059110652404 |
52 | 16.42 | 16.3440643339834 | 0.0759356660166155 |
53 | 16.49 | 16.4701113665804 | 0.0198886334195727 |
54 | 16.5 | 16.5416951706202 | -0.0416951706201765 |
55 | 16.58 | 16.548374832904 | 0.0316251670960135 |
56 | 16.64 | 16.6308932597032 | 0.00910674029675107 |
57 | 16.66 | 16.6916184624744 | -0.0316184624744373 |
58 | 16.81 | 16.7091005695885 | 0.100899430411484 |
59 | 16.91 | 16.8671355573186 | 0.0428644426813847 |
60 | 16.92 | 16.9705490084114 | -0.0505490084114335 |
61 | 16.95 | 16.9765236074682 | -0.0265236074681567 |
62 | 17.11 | 17.0044114363717 | 0.105588563628309 |
63 | 17.16 | 17.1728198367931 | -0.0128198367931063 |
64 | 17.16 | 17.2217989466759 | -0.0617989466759461 |
65 | 17.27 | 17.2168776723313 | 0.0531223276687101 |
66 | 17.34 | 17.3311079960236 | 0.00889200397637779 |
67 | 17.39 | 17.4018160985625 | -0.0118160985625018 |
68 | 17.43 | 17.4508751397624 | -0.0208751397624383 |
69 | 17.45 | 17.4892127766433 | -0.0392127766433283 |
70 | 17.5 | 17.5060901209662 | -0.00609012096620631 |
71 | 17.56 | 17.5556051425373 | 0.00439485746269597 |
72 | 17.65 | 17.6159551209826 | 0.0340448790173831 |
73 | 17.62 | 17.7086662382215 | -0.0886662382214531 |
74 | 17.7 | 17.6716054239703 | 0.028394576029708 |
75 | 17.72 | 17.7538665870816 | -0.0338665870816151 |
76 | 17.71 | 17.7711696678765 | -0.0611696678765057 |
77 | 17.74 | 17.7562985052858 | -0.0162985052858211 |
78 | 17.75 | 17.7850005961752 | -0.0350005961751663 |
79 | 17.78 | 17.7922133717115 | -0.0122133717114927 |
80 | 17.8 | 17.8212407766092 | -0.0212407766091722 |
81 | 17.86 | 17.8395492965013 | 0.020450703498657 |
82 | 17.88 | 17.9011778602208 | -0.0211778602208135 |
83 | 17.89 | 17.9194913903733 | -0.0294913903732628 |
84 | 17.94 | 17.9271428839563 | 0.0128571160437367 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
85 | 17.9781667427554 | 17.8891349161764 | 18.0671985693344 |
86 | 18.0163334855108 | 17.8853141826281 | 18.1473527883935 |
87 | 18.0545002282662 | 17.887710813458 | 18.2212896430745 |
88 | 18.0926669710217 | 17.8927040900234 | 18.2926298520199 |
89 | 18.1308337137771 | 17.89895890591 | 18.3627085216442 |
90 | 18.1690004565325 | 17.9058245433652 | 18.4321763696998 |
91 | 18.2071671992879 | 17.9129349913947 | 18.5013994071811 |
92 | 18.2453339420433 | 17.9200655093072 | 18.5706023747794 |
93 | 18.2835006847987 | 17.9270697953817 | 18.6399315742158 |
94 | 18.3216674275541 | 17.9338486514611 | 18.7094862036471 |
95 | 18.3598341703096 | 17.9403328473629 | 18.7793354932562 |
96 | 18.398000913065 | 17.9464730804099 | 18.8495287457201 |