Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.699900770302555 |
beta | 0.342238653113147 |
gamma | FALSE |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
3 | 31.3 | 31.08 | 0.220000000000002 |
4 | 31.06 | 31.0766754507936 | -0.016675450793624 |
5 | 31.09 | 30.9037072488936 | 0.1862927511064 |
6 | 31.11 | 30.9174199274605 | 0.192580072539457 |
7 | 31.13 | 30.9816624083262 | 0.148337591673844 |
8 | 31.1 | 31.0504713054803 | 0.0495286945197364 |
9 | 31.03 | 31.0619875409892 | -0.0319875409892383 |
10 | 30.74 | 31.0087884257166 | -0.268788425716629 |
11 | 30.83 | 30.7254684647811 | 0.104531535218861 |
12 | 30.82 | 30.7284741944327 | 0.0915258055672936 |
13 | 30.8 | 30.7443006635404 | 0.0556993364596323 |
14 | 30.74 | 30.7483939938821 | -0.00839399388210538 |
15 | 30.71 | 30.7056177135961 | 0.00438228640388871 |
16 | 30.58 | 30.6728332643579 | -0.0928332643579033 |
17 | 30.71 | 30.5497709369453 | 0.16022906305469 |
18 | 30.7 | 30.6422072911168 | 0.0577927088831665 |
19 | 30.7 | 30.6767916286361 | 0.0232083713638715 |
20 | 30.72 | 30.692729534753 | 0.0272704652469891 |
21 | 30.68 | 30.7180426825034 | -0.0380426825033666 |
22 | 30.78 | 30.6885306262764 | 0.0914693737236156 |
23 | 30.84 | 30.7715741003294 | 0.0684258996705722 |
24 | 30.8 | 30.8548796968014 | -0.0548796968013754 |
25 | 30.8 | 30.838738107586 | -0.0387381075859636 |
26 | 30.88 | 30.8246149702166 | 0.0553850297833804 |
27 | 30.87 | 30.8896352369036 | -0.0196352369035644 |
28 | 30.92 | 30.8974454720433 | 0.0225545279566717 |
29 | 30.82 | 30.9401869120392 | -0.120186912039166 |
30 | 30.75 | 30.8542347649753 | -0.104234764975278 |
31 | 30.75 | 30.7544798618659 | -0.00447986186592075 |
32 | 30.75 | 30.7234704170976 | 0.0265295829023557 |
33 | 30.63 | 30.7205192197625 | -0.090519219762502 |
34 | 30.52 | 30.6139631262368 | -0.0939631262368152 |
35 | 30.58 | 30.4824893612911 | 0.0975106387088722 |
36 | 30.6 | 30.5083852571983 | 0.091614742801692 |
37 | 30.6 | 30.5520993740872 | 0.0479006259128099 |
38 | 30.63 | 30.5766917321628 | 0.053308267837231 |
39 | 30.56 | 30.6178379974744 | -0.0578379974743903 |
40 | 30.61 | 30.5673387914222 | 0.0426612085777656 |
41 | 30.53 | 30.5973978285107 | -0.0673978285106678 |
42 | 30.6 | 30.5342824501719 | 0.0657175498281255 |
43 | 30.6 | 30.5800761559052 | 0.0199238440947624 |
44 | 30.63 | 30.5985912317998 | 0.0314087682001905 |
45 | 30.66 | 30.6326680544407 | 0.0273319455592684 |
46 | 30.34 | 30.6704384113401 | -0.330438411340126 |
47 | 30.32 | 30.3786540838376 | -0.0586540838375811 |
48 | 30.3 | 30.2630422221604 | 0.0369577778396319 |
49 | 30.3 | 30.2232017871031 | 0.0767982128969109 |
50 | 30.08 | 30.2296414170063 | -0.149641417006336 |
51 | 29.96 | 30.0417517034671 | -0.0817517034670736 |
52 | 29.91 | 29.8817958140179 | 0.0282041859821227 |
53 | 29.83 | 29.8055539723085 | 0.0244460276915213 |
54 | 29.89 | 29.7325374254374 | 0.157462574562572 |
55 | 29.85 | 29.7903367603217 | 0.0596632396782795 |
56 | 30.06 | 29.7939775859591 | 0.266022414040894 |
57 | 29.83 | 30.0057705293829 | -0.175770529382874 |
58 | 29.95 | 29.866249392136 | 0.0837506078639656 |
59 | 30.02 | 29.9284283412304 | 0.0915716587695812 |
60 | 30.03 | 30.0180156928953 | 0.0119843071046617 |
61 | 30.03 | 30.0547704340191 | -0.0247704340191177 |
62 | 29.96 | 30.0598671647449 | -0.0998671647449143 |
63 | 29.85 | 29.9884821445344 | -0.138482144534436 |
64 | 30.12 | 29.8568994132727 | 0.263100586727337 |
65 | 29.91 | 30.0694060433071 | -0.159406043307055 |
66 | 29.9 | 29.948016934298 | -0.0480169342979586 |
67 | 29.92 | 29.8930875035096 | 0.0269124964903753 |
68 | 29.89 | 29.8970476726791 | -0.00704767267914264 |
69 | 29.96 | 29.8755509424242 | 0.0844490575757568 |
70 | 29.72 | 29.9383211884498 | -0.218321188449806 |
71 | 29.6 | 29.7368871556601 | -0.136887155660112 |
72 | 29.54 | 29.559659860822 | -0.0196598608220349 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
73 | 29.4597708525935 | 29.2386386928518 | 29.6809030123352 |
74 | 29.3736417960983 | 29.070236224608 | 29.6770473675886 |
75 | 29.2875127396031 | 28.8874835567533 | 29.6875419224529 |
76 | 29.2013836831079 | 28.6930373750811 | 29.7097299911348 |
77 | 29.1152546266128 | 28.4884818416879 | 29.7420274115376 |
78 | 29.0291255701176 | 28.2748582898399 | 29.7833928503952 |
79 | 28.9429965136224 | 28.0529109529815 | 29.8330820742634 |
80 | 28.8568674571272 | 27.8232065033969 | 29.8905284108576 |
81 | 28.7707384006321 | 27.5861969560362 | 29.9552798452279 |
82 | 28.6846093441369 | 27.342255432827 | 30.0269632554467 |
83 | 28.5984802876417 | 27.0916979367861 | 30.1052626384973 |
84 | 28.5123512311465 | 26.8347974046657 | 30.1899050576273 |