Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.917553089744478 |
beta | FALSE |
gamma | FALSE |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
2 | 28.24 | 26.81 | 1.43 |
3 | 27.58 | 28.1221009183346 | -0.542100918334604 |
4 | 27.98 | 27.6246945457634 | 0.355305454236632 |
5 | 26.81 | 27.9507061631013 | -1.14070616310126 |
6 | 28.24 | 26.9040476986571 | 1.33595230134287 |
7 | 27.58 | 28.1298548605055 | -0.549854860505526 |
8 | 27.98 | 27.6253338343377 | 0.354666165662341 |
9 | 27.84 | 27.950758870469 | -0.110758870468967 |
10 | 27.49 | 27.8491317266536 | -0.359131726653558 |
11 | 26.97 | 27.5196093012373 | -0.549609301237314 |
12 | 27.71 | 27.0153135887347 | 0.694686411265288 |
13 | 27.46 | 27.6527252517947 | -0.19272525179468 |
14 | 27.04 | 27.4758896015387 | -0.43588960153869 |
15 | 28 | 27.0759377508594 | 0.924062249140626 |
16 | 27.32 | 27.9238139226746 | -0.603813922674586 |
17 | 26.36 | 27.3697825922938 | -1.00978259229379 |
18 | 26.15 | 26.4432534547644 | -0.293253454764436 |
19 | 25.94 | 26.1741778412671 | -0.234177841267083 |
20 | 24 | 25.9593072394628 | -1.95930723946278 |
21 | 24.32 | 24.161538828135 | 0.158461171865017 |
22 | 23.1 | 24.3069353659843 | -1.20693536598426 |
23 | 22.92 | 23.1995080918035 | -0.279508091803521 |
24 | 23.56 | 22.9430445785606 | 0.616955421439378 |
25 | 22.17 | 23.5091339317369 | -1.33913393173693 |
26 | 22.36 | 22.28040745509 | 0.0795925449099606 |
27 | 19.86 | 22.3534378405928 | -2.4934378405928 |
28 | 20.07 | 20.0655762458711 | 0.00442375412892204 |
29 | 19.21 | 20.0696352751403 | -0.859635275140338 |
30 | 19.99 | 19.280874272382 | 0.709125727618023 |
31 | 20.47 | 19.9315347747752 | 0.538465225224805 |
32 | 21.17 | 20.4256052059002 | 0.744394794099833 |
33 | 21.25 | 21.1086269492162 | 0.141373050783827 |
34 | 21.18 | 21.2383442287695 | -0.058344228769478 |
35 | 21.21 | 21.1848103013933 | 0.0251896986067166 |
36 | 21.11 | 21.2079231871796 | -0.0979231871796102 |
37 | 21.94 | 21.1180734642253 | 0.821926535774669 |
38 | 22.56 | 21.8722346966684 | 0.687765303331645 |
39 | 23.23 | 22.5032958757594 | 0.726704124240648 |
40 | 19.5 | 23.1700854902864 | -3.67008549028641 |
41 | 19.32 | 19.8025872090477 | -0.482587209047736 |
42 | 19 | 19.3597878243148 | -0.359787824314822 |
43 | 18.98 | 19.0296633944623 | -0.0496633944623142 |
44 | 19.88 | 18.9840945934262 | 0.895905406573778 |
45 | 19.48 | 19.8061353673468 | -0.326135367346772 |
46 | 19.52 | 19.5068888533628 | 0.0131111466372076 |
47 | 19.52 | 19.5189190264699 | 0.00108097353014358 |
48 | 19.75 | 19.5199108770724 | 0.23008912292763 |
49 | 19.64 | 19.7310298627312 | -0.0910298627312116 |
50 | 20.23 | 19.6475051309232 | 0.582494869076829 |
51 | 20.4 | 20.1819750978049 | 0.218024902195076 |
52 | 20.91 | 20.3820245204553 | 0.527975479544747 |
53 | 21.95 | 20.8664700530209 | 1.08352994697914 |
54 | 21.83 | 21.8606663037022 | -0.0306663037022403 |
55 | 22.27 | 21.8325283419892 | 0.437471658010793 |
56 | 21.99 | 22.2339318134726 | -0.243931813472649 |
57 | 21.66 | 22.0101114243338 | -0.350111424333843 |
58 | 20.32 | 21.6888656051815 | -1.36886560518149 |
59 | 20.62 | 20.4328587397023 | 0.187141260297732 |
60 | 20.28 | 20.6045707813071 | -0.324570781307127 |
61 | 20.79 | 20.306759858078 | 0.483240141922003 |
62 | 22.86 | 20.7501583433871 | 2.10984165661291 |
63 | 22.59 | 22.6860500742839 | -0.0960500742838732 |
64 | 23.29 | 22.5979190318545 | 0.692080968145479 |
65 | 21.87 | 23.2329400625298 | -1.36294006252975 |
66 | 21.52 | 21.982370197019 | -0.462370197019048 |
67 | 22 | 21.5581209941385 | 0.441879005861544 |
68 | 27.84 | 21.9635684412599 | 5.87643155874007 |
69 | 27.49 | 27.3555063746538 | 0.134493625346156 |
70 | 26.97 | 27.4789114161411 | -0.508911416141146 |
71 | 27.71 | 27.0119581738546 | 0.698041826145403 |
72 | 27.46 | 27.6524486082052 | -0.19244860820519 |
73 | 27.04 | 27.4758667931295 | -0.435866793129495 |
74 | 28 | 27.0759358703765 | 0.924064129623492 |
75 | 27.32 | 27.9238137676346 | -0.603813767634584 |
76 | 26.36 | 27.3697825795112 | -1.00978257951122 |
77 | 26.15 | 26.4432534537106 | -0.293253453710552 |
78 | 25.94 | 26.1741778411802 | -0.234177841180195 |
79 | 24 | 25.9593072394556 | -1.95930723945562 |
80 | 24.32 | 24.1615388281344 | 0.158461171865607 |
81 | 23.1 | 24.3069353659842 | -1.20693536598421 |
82 | 22.92 | 23.1995080918035 | -0.279508091803514 |
83 | 23.56 | 22.9430445785606 | 0.616955421439382 |
84 | 22.17 | 23.5091339317369 | -1.33913393173693 |
85 | 22.36 | 22.28040745509 | 0.0795925449099606 |
86 | 19.86 | 22.3534378405928 | -2.4934378405928 |
87 | 20.07 | 20.0655762458711 | 0.00442375412892204 |
88 | 19.21 | 20.0696352751403 | -0.859635275140338 |
89 | 19.99 | 19.280874272382 | 0.709125727618023 |
90 | 20.47 | 19.9315347747752 | 0.538465225224805 |
91 | 21.17 | 20.4256052059002 | 0.744394794099833 |
92 | 21.25 | 21.1086269492162 | 0.141373050783827 |
93 | 21.18 | 21.2383442287695 | -0.058344228769478 |
94 | 21.21 | 21.1848103013933 | 0.0251896986067166 |
95 | 21.11 | 21.2079231871796 | -0.0979231871796102 |
96 | 21.94 | 21.1180734642253 | 0.821926535774669 |
97 | 22.56 | 21.8722346966684 | 0.687765303331645 |
98 | 23.23 | 22.5032958757594 | 0.726704124240648 |
99 | 19.5 | 23.1700854902864 | -3.67008549028641 |
100 | 19.32 | 19.8025872090477 | -0.482587209047736 |
101 | 19 | 19.3597878243148 | -0.359787824314822 |
102 | 18.98 | 19.0296633944623 | -0.0496633944623142 |
103 | 19.88 | 18.9840945934262 | 0.895905406573778 |
104 | 19.48 | 19.8061353673468 | -0.326135367346772 |
105 | 19.52 | 19.5068888533628 | 0.0131111466372076 |
106 | 19.52 | 19.5189190264699 | 0.00108097353014358 |
107 | 19.75 | 19.5199108770724 | 0.23008912292763 |
108 | 19.64 | 19.7310298627312 | -0.0910298627312116 |
109 | 20.23 | 19.6475051309232 | 0.582494869076829 |
110 | 20.4 | 20.1819750978049 | 0.218024902195076 |
111 | 20.91 | 20.3820245204553 | 0.527975479544747 |
112 | 21.95 | 20.8664700530209 | 1.08352994697914 |
113 | 21.83 | 21.8606663037022 | -0.0306663037022403 |
114 | 22.27 | 21.8325283419892 | 0.437471658010793 |
115 | 21.99 | 22.2339318134726 | -0.243931813472649 |
116 | 21.66 | 22.0101114243338 | -0.350111424333843 |
117 | 20.32 | 21.6888656051815 | -1.36886560518149 |
118 | 20.62 | 20.4328587397023 | 0.187141260297732 |
119 | 20.28 | 20.6045707813071 | -0.324570781307127 |
120 | 20.79 | 20.306759858078 | 0.483240141922003 |
121 | 22.86 | 20.7501583433871 | 2.10984165661291 |
122 | 22.59 | 22.6860500742839 | -0.0960500742838732 |
123 | 23.29 | 22.5979190318545 | 0.692080968145479 |
124 | 21.87 | 23.2329400625298 | -1.36294006252975 |
125 | 21.52 | 21.982370197019 | -0.462370197019048 |
126 | 22 | 21.5581209941385 | 0.441879005861544 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
127 | 21.9635684412599 | 19.9160856937014 | 24.0110511888185 |
128 | 21.9635684412599 | 19.1847913621665 | 24.7423455203534 |
129 | 21.9635684412599 | 18.6093146480833 | 25.3178222344366 |
130 | 21.9635684412599 | 18.119035314496 | 25.8081015680239 |