Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.6087902561648 |
beta | 0.147224753220598 |
gamma | FALSE |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
3 | -3 | 7 | -10 |
4 | -3 | 3.01580748608233 | -6.01580748608233 |
5 | 0 | 0.91796177286605 | -0.91796177286605 |
6 | 6 | 1.84135886592859 | 4.15864113407141 |
7 | -1 | 6.2280771695089 | -7.2280771695089 |
8 | 0 | 3.03482702605008 | -3.03482702605008 |
9 | -1 | 2.12237821455813 | -3.12237821455813 |
10 | 1 | 0.876773470497409 | 0.123226529502591 |
11 | -4 | 1.61810594000773 | -5.61810594000773 |
12 | -1 | -1.63937404580397 | 0.63937404580397 |
13 | -1 | -1.03005473480765 | 0.0300547348076465 |
14 | 0 | -0.788989307556312 | 0.788989307556312 |
15 | 3 | -0.0151755884679016 | 3.0151755884679 |
16 | 0 | 2.38416580527450 | -2.38416580527450 |
17 | 8 | 1.28275038321801 | 6.71724961678199 |
18 | 8 | 6.32424832125845 | 1.67575167874155 |
19 | 8 | 8.44672737736045 | -0.446727377360446 |
20 | 8 | 9.2370221392205 | -1.23702213922049 |
21 | 11 | 9.43532009915021 | 1.56467990084979 |
22 | 13 | 11.4795076491168 | 1.52049235088324 |
23 | 5 | 13.6330744508798 | -8.63307445087983 |
24 | 12 | 8.8314749296592 | 3.16852507034080 |
25 | 13 | 11.4985659225229 | 1.50143407747705 |
26 | 9 | 13.2853201905549 | -4.28532019055495 |
27 | 11 | 11.1650659024837 | -0.16506590248372 |
28 | 7 | 11.5383875869256 | -4.53838758692564 |
29 | 12 | 8.8425025234384 | 3.15749747656159 |
30 | 11 | 11.1148006254223 | -0.114800625422323 |
31 | 10 | 11.3846660629438 | -1.38466606294383 |
32 | 13 | 10.7573435675153 | 2.24265643248474 |
33 | 14 | 12.5393067059539 | 1.46069329404611 |
34 | 10 | 13.9761387773112 | -3.97613877731116 |
35 | 13 | 11.7467031357285 | 1.25329686427155 |
36 | 12 | 12.8132286966480 | -0.813228696647988 |
37 | 13 | 12.5487847609939 | 0.451215239006084 |
38 | 17 | 13.0945639413359 | 3.90543605866408 |
39 | 15 | 16.0932794091885 | -1.09327940918854 |
40 | 6 | 15.9508360719243 | -9.9508360719243 |
41 | 9 | 9.5241151061641 | -0.524115106164102 |
42 | 6 | 8.78931410159438 | -2.78931410159438 |
43 | 11 | 6.4254786000341 | 4.57452139996591 |
44 | 12 | 8.95468415654735 | 3.04531584345265 |
45 | 13 | 10.8258728697797 | 2.17412713022031 |
46 | 11 | 12.3615552132928 | -1.36155521329276 |
47 | 16 | 11.6227137714677 | 4.37728622853231 |
48 | 16 | 14.7699548475847 | 1.23004515241534 |
49 | 19 | 16.1114339338548 | 2.88856606614521 |
50 | 14 | 18.7215036662045 | -4.72150366620451 |
51 | 15 | 16.2754534672027 | -1.27545346720271 |
52 | 12 | 15.8130074388838 | -3.81300743888383 |
53 | 14 | 13.4639672525731 | 0.536032747426901 |
54 | 16 | 13.8106244319181 | 2.18937556808189 |
55 | 13 | 15.3600521429195 | -2.36005214291955 |
56 | 13 | 13.9283034900841 | -0.928303490084055 |
57 | 15 | 13.2849865572900 | 1.71501344271003 |
58 | 12 | 14.4046101488072 | -2.40461014880719 |
59 | 13 | 12.8007242471919 | 0.19927575280807 |
60 | 12 | 12.7999195961422 | -0.799919596142221 |
61 | 15 | 12.1191185629818 | 2.8808814370182 |
62 | 10 | 13.9373638422587 | -3.93736384225873 |
63 | 8 | 11.2518258663456 | -3.25182586634558 |
64 | 11 | 8.69217884534568 | 2.30782115465432 |
65 | 8 | 9.72403844970138 | -1.72403844970138 |
66 | 13 | 8.14681737872148 | 4.85318262127852 |
67 | 9 | 11.0087302903941 | -2.00873029039412 |
68 | 8 | 9.51313700517903 | -1.51313700517903 |
69 | 8 | 8.18363513360865 | -0.183635133608647 |
70 | 6 | 7.64706201448947 | -1.64706201448947 |
71 | 8 | 6.0719443562452 | 1.92805564375480 |
72 | 6 | 6.84613318307419 | -0.846133183074189 |
73 | 12 | 5.8555848163413 | 6.1444151836587 |
74 | 16 | 9.6715319396928 | 6.3284680603072 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
75 | 14.1667428945383 | 7.23886810776676 | 21.0946176813098 |
76 | 14.8092441578186 | 6.3589706240481 | 23.2595176915891 |
77 | 15.4517454210989 | 5.3912653906388 | 25.5122254515591 |
78 | 16.0942466843793 | 4.33903570638372 | 27.8494576623748 |
79 | 16.7367479476596 | 3.20554578340201 | 30.2679501119171 |
80 | 17.3792492109399 | 1.99387537100605 | 32.7646230508737 |
81 | 18.0217504742202 | 0.706872397159149 | 35.3366285512813 |
82 | 18.6642517375005 | -0.652849106820909 | 37.981352581822 |
83 | 19.3067530007808 | -2.08289411986775 | 40.6964001214294 |
84 | 19.9492542640612 | -3.58106636071609 | 43.4795748888384 |
85 | 20.5917555273415 | -5.14534742616306 | 46.328858480846 |
86 | 21.2342567906218 | -6.77387724722625 | 49.2423908284699 |