Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.365156398722376 |
beta | FALSE |
gamma | FALSE |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
2 | 30 | 37 | -7 |
3 | 47 | 34.4439052089434 | 12.5560947910566 |
4 | 35 | 39.0288435648624 | -4.02884356486239 |
5 | 30 | 37.5576855577014 | -7.55768555770143 |
6 | 43 | 34.7979483167751 | 8.20205168322494 |
7 | 82 | 37.7929799715563 | 44.2070200284437 |
8 | 40 | 53.9354562033907 | -13.9354562033907 |
9 | 47 | 48.8468352016072 | -1.84683520160717 |
10 | 19 | 48.1724515103546 | -29.1724515103546 |
11 | 52 | 37.5199441749304 | 14.4800558250696 |
12 | 136 | 42.8074292133118 | 93.1925707866882 |
13 | 80 | 76.8372927494589 | 3.1627072505411 |
14 | 42 | 77.9921755392796 | -35.9921755392796 |
15 | 54 | 64.8494023371727 | -10.8494023371727 |
16 | 66 | 60.8876736514406 | 5.11232634855941 |
17 | 81 | 62.7544723299741 | 18.2455276700259 |
18 | 63 | 69.4169435067502 | -6.41694350675019 |
19 | 137 | 67.0737555250204 | 69.9262444749796 |
20 | 72 | 92.6077711336843 | -20.6077711336843 |
21 | 107 | 85.0827116408132 | 21.9172883591868 |
22 | 58 | 93.0859497278137 | -35.0859497278137 |
23 | 36 | 80.2740906794509 | -44.2740906794509 |
24 | 52 | 64.1071231702347 | -12.1071231702347 |
25 | 79 | 59.6861296745036 | 19.3138703254964 |
26 | 77 | 66.7387130079528 | 10.2612869920472 |
27 | 54 | 70.4856876122255 | -16.4856876122255 |
28 | 84 | 64.4658332932832 | 19.5341667067168 |
29 | 48 | 71.5988592599504 | -23.5988592599504 |
30 | 96 | 62.9815847986307 | 33.0184152013693 |
31 | 83 | 75.0384703850829 | 7.96152961491713 |
32 | 66 | 77.9456738675876 | -11.9456738675876 |
33 | 61 | 73.5836346177873 | -12.5836346177873 |
34 | 53 | 68.9886399179179 | -15.9886399179179 |
35 | 30 | 63.1502857450222 | -33.1502857450222 |
36 | 74 | 51.0452467857522 | 22.9547532142478 |
37 | 69 | 59.4273218030278 | 9.57267819697222 |
38 | 59 | 62.9228464995624 | -3.92284649956236 |
39 | 42 | 61.4903939990415 | -19.4903939990415 |
40 | 65 | 54.3733519166713 | 10.6266480833287 |
41 | 70 | 58.2537404612696 | 11.7462595387304 |
42 | 100 | 62.5429622928908 | 37.4570377071092 |
43 | 63 | 76.220639288827 | -13.220639288827 |
44 | 105 | 71.3930382573114 | 33.6069617426886 |
45 | 82 | 83.6648353792722 | -1.66483537927222 |
46 | 81 | 83.0569100877116 | -2.05691008771157 |
47 | 75 | 82.3058162075871 | -7.30581620758709 |
48 | 102 | 79.638050671497 | 22.361949328503 |
49 | 121 | 87.8036595567054 | 33.1963404432946 |
50 | 98 | 99.9255156837408 | -1.92551568374081 |
51 | 76 | 99.2224013109826 | -23.2224013109826 |
52 | 77 | 90.7425928785784 | -13.7425928785784 |
53 | 63 | 85.7243971539289 | -22.7243971539289 |
54 | 37 | 77.4264381260632 | -40.4264381260632 |
55 | 35 | 62.664465566777 | -27.664465566777 |
56 | 23 | 52.5626089478336 | -29.5626089478336 |
57 | 40 | 41.7676331276048 | -1.76763312760479 |
58 | 29 | 41.1221705804663 | -12.1221705804663 |
59 | 37 | 36.6956824266049 | 0.304317573395132 |
60 | 51 | 36.8068059357738 | 14.1931940642262 |
61 | 20 | 41.9895415666344 | -21.9895415666344 |
62 | 28 | 33.9599197586062 | -5.9599197586062 |
63 | 13 | 31.7836169228792 | -18.7836169228792 |
64 | 22 | 24.92465901234 | -2.92465901233998 |
65 | 25 | 23.856701059903 | 1.14329894009703 |
66 | 13 | 24.2741839835319 | -11.2741839835319 |
67 | 16 | 20.1573435615719 | -4.15734356157191 |
68 | 13 | 18.6392629583767 | -5.63926295837666 |
69 | 16 | 16.5800500050473 | -0.580050005047347 |
70 | 17 | 16.3682410341254 | 0.631758965874639 |
71 | 9 | 16.5989318629647 | -7.59893186296472 |
72 | 17 | 13.8241332697478 | 3.17586673025219 |
73 | 25 | 14.9838213277889 | 10.0161786722111 |
74 | 14 | 18.6412930606934 | -4.64129306069337 |
75 | 8 | 16.9464952012354 | -8.94649520123543 |
76 | 7 | 13.6796252323653 | -6.67962523236528 |
77 | 10 | 11.2405173376997 | -1.24051733769967 |
78 | 7 | 10.7875344941126 | -3.78753449411259 |
79 | 10 | 9.40449203820566 | 0.59550796179434 |
80 | 3 | 9.62194558094498 | -6.62194558094498 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
81 | 7.20389978007156 | -36.9330002321254 | 51.3407997922685 |
82 | 7.20389978007156 | -39.7835399067192 | 54.1913394668624 |
83 | 7.20389978007156 | -42.4707721760967 | 56.8785717362399 |
84 | 7.20389978007156 | -45.0199126007386 | 59.4277121608818 |
85 | 7.20389978007156 | -47.45028693256 | 61.8580864927031 |
86 | 7.20389978007156 | -49.7770941639825 | 64.1848937241256 |
87 | 7.20389978007156 | -52.0125440213376 | 66.4203435814808 |
88 | 7.20389978007156 | -54.1666205217687 | 68.5744200819118 |
89 | 7.20389978007156 | -56.2476116893309 | 70.6554112494741 |
90 | 7.20389978007156 | -58.2624874227125 | 72.6702869828556 |
91 | 7.20389978007156 | -60.2171755526312 | 74.6249751127743 |
92 | 7.20389978007156 | -62.1167677343942 | 76.5245672945373 |