Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 1 |
beta | 0.165143187979639 |
gamma | FALSE |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
3 | 13.91 | 13.99 | -0.08 |
4 | 13.94 | 13.9867885449616 | -0.046788544961629 |
5 | 13.96 | 14.0090617354857 | -0.0490617354857346 |
6 | 14.01 | 14.0209595240798 | -0.0109595240798104 |
7 | 14.01 | 14.0691496333345 | -0.0591496333345294 |
8 | 14.06 | 14.0593814743178 | 0.00061852568216203 |
9 | 14.09 | 14.1094836196208 | -0.0194836196208392 |
10 | 14.13 | 14.1362660325633 | -0.00626603256326952 |
11 | 14.12 | 14.1752312399698 | -0.055231239969789 |
12 | 14.13 | 14.1561101769251 | -0.0261101769251066 |
13 | 14.14 | 14.1617982590690 | -0.0217982590689836 |
14 | 14.16 | 14.1681984250739 | -0.00819842507392643 |
15 | 14.21 | 14.1868445110208 | 0.0231554889791958 |
16 | 14.26 | 14.2406684822901 | 0.0193315177099418 |
17 | 14.29 | 14.2938609507532 | -0.00386095075316284 |
18 | 14.32 | 14.3232233410372 | -0.00322334103715072 |
19 | 14.33 | 14.3526910282223 | -0.0226910282223312 |
20 | 14.39 | 14.3589437594832 | 0.0310562405168415 |
21 | 14.48 | 14.4240724860488 | 0.055927513951227 |
22 | 14.44 | 14.5233085339985 | -0.083308533998455 |
23 | 14.46 | 14.4695506971080 | -0.0095506971080379 |
24 | 14.48 | 14.4879734645402 | -0.00797346454019099 |
25 | 14.53 | 14.5066567011868 | 0.0233432988132183 |
26 | 14.58 | 14.5605116879708 | 0.0194883120292442 |
27 | 14.62 | 14.6137300499476 | 0.00626995005239195 |
28 | 14.62 | 14.6547654894877 | -0.0347654894877323 |
29 | 14.61 | 14.6490242057221 | -0.0390242057220558 |
30 | 14.65 | 14.6325796239807 | 0.0174203760192579 |
31 | 14.68 | 14.6754564804124 | 0.00454351958763333 |
32 | 14.7 | 14.7062068117217 | -0.00620681172171622 |
33 | 14.78 | 14.7251817990468 | 0.0548182009531981 |
34 | 14.84 | 14.8142346515115 | 0.0257653484884788 |
35 | 14.89 | 14.8784896233003 | 0.0115103766996842 |
36 | 14.89 | 14.9303904836033 | -0.040390483603348 |
37 | 15.13 | 14.9237202703771 | 0.206279729622947 |
38 | 15.25 | 15.1977859625426 | 0.0522140374574356 |
39 | 15.33 | 15.3264087551456 | 0.00359124485442663 |
40 | 15.36 | 15.4070018247696 | -0.0470018247696498 |
41 | 15.4 | 15.4292397935863 | -0.0292397935863278 |
42 | 15.4 | 15.4644110408576 | -0.0644110408576157 |
43 | 15.41 | 15.4537739962293 | -0.0437739962293016 |
44 | 15.47 | 15.4565450189414 | 0.0134549810586133 |
45 | 15.54 | 15.5187670174076 | 0.0212329825923874 |
46 | 15.55 | 15.5922734998432 | -0.0422734998432333 |
47 | 15.59 | 15.5952923193121 | -0.00529231931206731 |
48 | 15.65 | 15.6344183288291 | 0.0155816711709349 |
49 | 15.75 | 15.6969915356803 | 0.0530084643197153 |
50 | 15.86 | 15.8057455224679 | 0.0542544775320533 |
51 | 15.89 | 15.9247052798498 | -0.0347052798497582 |
52 | 15.94 | 15.9489739392956 | -0.00897393929564672 |
53 | 15.93 | 15.9974919543516 | -0.0674919543516257 |
54 | 15.95 | 15.9763461178470 | -0.026346117847023 |
55 | 15.99 | 15.9919952359549 | -0.00199523595487605 |
56 | 15.99 | 16.0316657363285 | -0.0416657363285164 |
57 | 16.06 | 16.0247849238017 | 0.0352150761982912 |
58 | 16.08 | 16.1006004537500 | -0.0206004537500384 |
59 | 16.07 | 16.1171984291439 | -0.0471984291439291 |
60 | 16.11 | 16.0994039300875 | 0.0105960699125269 |
61 | 16.15 | 16.1411537988529 | 0.00884620114711865 |
62 | 16.18 | 16.1826146887118 | -0.00261468871182302 |
63 | 16.3 | 16.2121828906824 | 0.0878171093176192 |
64 | 16.42 | 16.3466852880742 | 0.0733147119257538 |
65 | 16.49 | 16.4787927133275 | 0.0112072866725192 |
66 | 16.5 | 16.5506435203772 | -0.0506435203771751 |
67 | 16.58 | 16.5522800879716 | 0.0277199120284202 |
68 | 16.64 | 16.6368578426145 | 0.00314215738553614 |
69 | 16.66 | 16.6973767485023 | -0.0373767485022505 |
70 | 16.81 | 16.7112042330983 | 0.0987957669017234 |
71 | 16.91 | 16.8775196810033 | 0.0324803189966829 |
72 | 16.92 | 16.9828835844290 | -0.0628835844290236 |
73 | 16.95 | 16.9824987888248 | -0.0324987888248316 |
74 | 17.11 | 17.0071318352328 | 0.102868164767180 |
75 | 17.16 | 17.1841198119041 | -0.0241198119040860 |
76 | 17.16 | 17.2301365892728 | -0.0701365892727779 |
77 | 17.27 | 17.2185540093263 | 0.0514459906737486 |
78 | 17.34 | 17.3370499642349 | 0.00295003576511377 |
79 | 17.39 | 17.4075371425458 | -0.0175371425457911 |
80 | 17.43 | 17.4546410029177 | -0.0246410029177255 |
81 | 17.45 | 17.4905717091409 | -0.0405717091408775 |
82 | 17.5 | 17.5038715677516 | -0.00387156775157038 |
83 | 17.56 | 17.5532322047106 | 0.0067677952894023 |
84 | 17.65 | 17.6143498600003 | 0.0356501399997171 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
85 | 17.7102372377718 | 17.6197425540635 | 17.8007319214801 |
86 | 17.7704744755435 | 17.6315258295282 | 17.9094231215588 |
87 | 17.8307117133153 | 17.6468666798591 | 18.0145567467714 |
88 | 17.8909489510870 | 17.6626667155827 | 18.1192311865913 |
89 | 17.9511861888588 | 17.6778827762073 | 18.2244896015102 |
90 | 18.0114234266305 | 17.6920621793522 | 18.3307846739089 |
91 | 18.0716606644023 | 17.7049864047222 | 18.4383349240824 |
92 | 18.1318979021740 | 17.716546658418 | 18.5472491459301 |
93 | 18.1921351399458 | 17.7266910335562 | 18.6575792463353 |
94 | 18.2523723777176 | 17.7353990949093 | 18.7693456605258 |
95 | 18.3126096154893 | 17.7426685540097 | 18.8825506769689 |
96 | 18.3728468532611 | 17.7485078328419 | 18.9971858736802 |