Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.999924222782354 |
beta | FALSE |
gamma | FALSE |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
2 | 90 | 88 | 2 |
3 | 82 | 89.9998484455647 | -7.99984844556471 |
4 | 75 | 82.0006062062568 | -7.00060620625679 |
5 | 79 | 75.0005304864601 | 3.99946951353985 |
6 | 70 | 78.9996969313282 | -8.99969693132822 |
7 | 71 | 70.0006819719931 | 0.999318028006883 |
8 | 75 | 70.9999242744603 | 4.0000757255397 |
9 | 89 | 74.9996968853911 | 14.0003031146089 |
10 | 92 | 88.9989390959838 | 3.00106090401623 |
11 | 94 | 91.9997725879547 | 2.00022741204529 |
12 | 90 | 93.9998484283321 | -3.99984842833206 |
13 | 102 | 90.0003030973849 | 11.9996969026151 |
14 | 98 | 101.999090696356 | -3.99909069635612 |
15 | 100 | 98.0003030399661 | 1.99969696003392 |
16 | 98 | 99.9998484685282 | -1.99984846852824 |
17 | 100 | 98.0001515429527 | 1.99984845704734 |
18 | 91 | 99.9998484570482 | -8.99984845704822 |
19 | 93 | 91.0006819834753 | 1.9993180165247 |
20 | 92 | 92.9998484972435 | -0.999848497243519 |
21 | 106 | 92.0000757657372 | 13.9999242342628 |
22 | 109 | 105.998939124694 | 3.00106087530573 |
23 | 108 | 108.999772587957 | -0.999772587956883 |
24 | 108 | 108.000075759985 | -7.5759984994761e-05 |
25 | 118 | 108.000000005741 | 9.99999999425911 |
26 | 119 | 117.999242227824 | 1.00075777217603 |
27 | 124 | 118.99992416536 | 5.00007583463952 |
28 | 118 | 123.999621108165 | -5.99962110816523 |
29 | 119 | 118.000454634595 | 0.999545365405496 |
30 | 113 | 118.999924257233 | -5.99992425723329 |
31 | 114 | 113.000454657566 | 0.999545342433706 |
32 | 115 | 113.999924257235 | 1.00007574276496 |
33 | 125 | 114.999924217043 | 10.0000757829572 |
34 | 125 | 124.999242222081 | 0.00075777791907683 |
35 | 118 | 124.999999942578 | -6.9999999425777 |
36 | 122 | 118.000530440519 | 3.99946955948083 |
37 | 132 | 121.999696931325 | 10.0003030686753 |
38 | 133 | 131.999242204858 | 1.00075779514216 |
39 | 136 | 132.999924165359 | 3.00007583464128 |
40 | 128 | 135.999772662601 | -7.99977266260052 |
41 | 126 | 128.000606200514 | -2.00060620051417 |
42 | 114 | 126.000151600371 | -12.0001516003715 |
43 | 108 | 114.0009093381 | -6.0009093380996 |
44 | 107 | 108.000454732213 | -1.00045473221299 |
45 | 117 | 107.000075811676 | 9.999924188324 |
46 | 119 | 116.999242233568 | 2.00075776643166 |
47 | 113 | 118.999848388143 | -5.99984838814328 |
48 | 114 | 113.000454651817 | 0.999545348182849 |
49 | 124 | 113.999924257235 | 10.0000757427654 |
50 | 125 | 123.999242222084 | 1.00075777791604 |
51 | 124 | 124.99992416536 | -0.999924165360056 |
52 | 118 | 124.000075771471 | -6.0000757714711 |
53 | 111 | 118.000454669048 | -7.00045466904763 |
54 | 99 | 111.000530474977 | -12.0005304749771 |
55 | 94 | 99.0009093668097 | -5.00090936680967 |
56 | 93 | 94.0003789549975 | -1.00037895499752 |
57 | 107 | 93.0000758059338 | 13.9999241940662 |
58 | 107 | 106.998939124697 | 0.00106087530268439 |
59 | 103 | 106.99999991961 | -3.99999991960982 |
60 | 97 | 103.000303108865 | -6.0003031088645 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
61 | 97.0004546862746 | 84.4198164994623 | 109.581092873087 |
62 | 97.0004546862746 | 79.2094196295131 | 114.791489743036 |
63 | 97.0004546862746 | 75.2112509469372 | 118.789658425612 |
64 | 97.0004546862746 | 71.8406082877412 | 122.160301084808 |
65 | 97.0004546862746 | 68.8709978482688 | 125.12991152428 |
66 | 97.0004546862746 | 66.1862564457773 | 127.814652926772 |
67 | 97.0004546862746 | 63.7173766373905 | 130.283532735159 |
68 | 97.0004546862746 | 61.4193957417807 | 132.581513630768 |
69 | 97.0004546862746 | 59.2610823171561 | 134.739827055393 |
70 | 97.0004546862746 | 57.2196967998489 | 136.7812125727 |
71 | 97.0004546862746 | 55.2780725728111 | 138.722836799738 |
72 | 97.0004546862746 | 53.4228728301723 | 140.578036542377 |