Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.238639444547544 |
beta | FALSE |
gamma | FALSE |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
2 | 86.6 | 86.5 | 0.0999999999999943 |
3 | 98.8 | 86.5238639444548 | 12.2761360555452 |
4 | 84.4 | 89.4534342339402 | -5.05343423394015 |
5 | 91.4 | 88.2474854952951 | 3.15251450470487 |
6 | 95.7 | 88.999799805626 | 6.70020019437402 |
7 | 78.5 | 90.5987318583688 | -12.0987318583688 |
8 | 81.7 | 87.711497207958 | -6.01149720795796 |
9 | 94.3 | 86.2769168533518 | 8.02308314664823 |
10 | 98.5 | 88.1915409590267 | 10.3084590409733 |
11 | 95.4 | 90.6515458987056 | 4.74845410129436 |
12 | 91.7 | 91.784714347898 | -0.0847143478980428 |
13 | 92.8 | 91.7644981629705 | 1.03550183702954 |
14 | 90.6 | 92.0116097461871 | -1.41160974618715 |
15 | 102.2 | 91.6747439804391 | 10.5252560195609 |
16 | 91.8 | 94.1864852306678 | -2.38648523066784 |
17 | 95 | 93.6169757208004 | 1.38302427919965 |
18 | 102 | 93.9470198665843 | 8.05298013341567 |
19 | 88.9 | 95.8687785725751 | -6.96877857257505 |
20 | 89.6 | 94.2057531248409 | -4.60575312484092 |
21 | 97.9 | 93.1066387574058 | 4.79336124259424 |
22 | 108.6 | 94.2505238218542 | 14.3494761781458 |
23 | 100.8 | 97.6748748465551 | 3.12512515344488 |
24 | 95.1 | 98.4206529773148 | -3.32065297731477 |
25 | 101 | 97.6282141952732 | 3.37178580472678 |
26 | 100.9 | 98.4328552868465 | 2.4671447131535 |
27 | 102.5 | 99.0216133308119 | 3.47838666918814 |
28 | 105.4 | 99.8516935934685 | 5.54830640653151 |
29 | 98.4 | 101.175738352503 | -2.77573835250276 |
30 | 105.3 | 100.513337693852 | 4.7866623061478 |
31 | 96.5 | 101.655624127828 | -5.15562412782798 |
32 | 88.1 | 100.425288849667 | -12.3252888496672 |
33 | 107.9 | 97.4839887646946 | 10.4160112353054 |
34 | 107.1 | 99.9696599002888 | 7.13034009971115 |
35 | 92.5 | 101.671240301119 | -9.171240301119 |
36 | 95.7 | 99.4826206098479 | -3.78262060984791 |
37 | 85.2 | 98.5799381285797 | -13.3799381285797 |
38 | 85.5 | 95.3869571254949 | -9.88695712549494 |
39 | 94.7 | 93.0275391688015 | 1.67246083119855 |
40 | 86.2 | 93.4266542925862 | -7.22665429258619 |
41 | 88.8 | 91.7020895262663 | -2.90208952626629 |
42 | 93.4 | 91.0095364936909 | 2.39046350630915 |
43 | 83.4 | 91.5799953770477 | -8.17999537704765 |
44 | 82.9 | 89.6279258238675 | -6.72792582386752 |
45 | 96.7 | 88.0223773423027 | 8.6776226576973 |
46 | 96.2 | 90.0932003933288 | 6.10679960667123 |
47 | 92.8 | 91.550523659428 | 1.24947634057204 |
48 | 92.8 | 91.8486979993174 | 0.951302000682631 |
49 | 90.2 | 92.0757161803572 | -1.87571618035723 |
50 | 95.9 | 91.6280963129479 | 4.27190368705206 |
51 | 107.5 | 92.6475410359866 | 14.8524589640134 |
52 | 98 | 96.191923593324 | 1.80807640667601 |
53 | 95 | 96.6234019427127 | -1.62340194271268 |
54 | 108.5 | 96.2359942048263 | 12.2640057951737 |
55 | 91.8 | 99.1626697357144 | -7.36266973571443 |
56 | 91.7 | 97.4056463195965 | -5.70564631959653 |
57 | 108.3 | 96.0440540511033 | 12.2559459488967 |
58 | 105.1 | 98.9688061847527 | 6.13119381524729 |
59 | 104.8 | 100.431950871237 | 4.36804912876333 |
60 | 103.2 | 101.474339689081 | 1.72566031091887 |
61 | 98.6 | 101.886150307157 | -3.28615030715656 |
62 | 102.4 | 101.101945223157 | 1.29805477684303 |
63 | 121.2 | 101.411712294095 | 19.7882877059049 |
64 | 102.6 | 106.133978280779 | -3.53397828077924 |
65 | 108.9 | 105.290631666811 | 3.60936833318901 |
66 | 105.5 | 106.151969321011 | -0.651969321010711 |
67 | 90.8 | 105.996383724383 | -15.1963837243827 |
68 | 99.6 | 102.369927153265 | -2.76992715326466 |
69 | 111.6 | 101.708913275972 | 9.89108672402757 |
70 | 104.7 | 104.069316717766 | 0.63068328223406 |
71 | 103.1 | 104.219822625924 | -1.1198226259237 |
72 | 101.7 | 103.952588776481 | -2.25258877648149 |
73 | 98.8 | 103.415032242068 | -4.61503224206793 |
74 | 101.4 | 102.313703511252 | -0.913703511251825 |
75 | 114.2 | 102.095657812846 | 12.1043421871544 |
76 | 96.9 | 104.984231309002 | -8.0842313090015 |
77 | 98.3 | 103.055014839828 | -4.75501483982752 |
78 | 104.8 | 101.920280739636 | 2.87971926036424 |
79 | 94.4 | 102.607495344382 | -8.20749534438194 |
80 | 94.5 | 100.648863214272 | -6.14886321427208 |
81 | 102.4 | 99.1815019122194 | 3.21849808778065 |
82 | 105.5 | 99.9495625081647 | 5.55043749183534 |
83 | 101.2 | 101.274115828212 | -0.0741158282121148 |
84 | 99.5 | 101.256428868135 | -1.7564288681354 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
85 | 100.837275658656 | 87.0592202442631 | 114.615331073049 |
86 | 100.837275658656 | 86.672330450739 | 115.002220866574 |
87 | 100.837275658656 | 86.295730538398 | 115.378820778915 |
88 | 100.837275658656 | 85.9286407035131 | 115.745910613799 |
89 | 100.837275658656 | 85.5703749264537 | 116.104176390859 |
90 | 100.837275658656 | 85.2203259018012 | 116.454225415511 |
91 | 100.837275658656 | 84.8779529459173 | 116.796598371395 |
92 | 100.837275658656 | 84.542772193053 | 117.13177912426 |
93 | 100.837275658656 | 84.2143485718955 | 117.460202745417 |
94 | 100.837275658656 | 83.8922891826223 | 117.78226213469 |
95 | 100.837275658656 | 83.5762377867847 | 118.098313530528 |
96 | 100.837275658656 | 83.2658701896736 | 118.408681127639 |