Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 1 |
beta | 0 |
gamma | 0 |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
13 | 67.5 | 68.3768696581196 | -0.876869658119631 |
14 | 72.7 | 73.2218822843823 | -0.521882284382301 |
15 | 76.6 | 76.4052156177156 | 0.194784382284382 |
16 | 82.4 | 80.838548951049 | 1.56145104895104 |
17 | 82.3 | 79.7677156177156 | 2.53228438228439 |
18 | 86.3 | 83.576048951049 | 2.72395104895104 |
19 | 93 | 99.6427156177156 | -6.64271561771562 |
20 | 88.8 | 93.2968822843823 | -4.49688228438229 |
21 | 96.9 | 76.9510489510489 | 19.9489510489511 |
22 | 103.9 | 92.3802156177156 | 11.5197843822844 |
23 | 115.7 | 105.446882284382 | 10.2531177156177 |
24 | 112.8 | 119.992715617716 | -7.19271561771561 |
25 | 114.7 | 103.442715617716 | 11.2572843822844 |
26 | 118 | 120.421882284382 | -2.42188228438231 |
27 | 129.3 | 121.705215617716 | 7.5947843822844 |
28 | 137 | 133.538548951049 | 3.46145104895103 |
29 | 156 | 134.367715617716 | 21.6322843822844 |
30 | 166.2 | 157.276048951049 | 8.92395104895104 |
31 | 167.8 | 179.542715617716 | -11.7427156177156 |
32 | 144.3 | 168.096882284382 | -23.7968822843823 |
33 | 126 | 132.451048951049 | -6.45104895104896 |
34 | 90.4 | 121.480215617716 | -31.0802156177156 |
35 | 67.5 | 91.9468822843823 | -24.4468822843823 |
36 | 52.4 | 71.7927156177156 | -19.3927156177156 |
37 | 54.6 | 43.0427156177156 | 11.5572843822844 |
38 | 52.9 | 60.3218822843823 | -7.42188228438231 |
39 | 59.1 | 56.6052156177156 | 2.49478438228439 |
40 | 63.3 | 63.338548951049 | -0.0385489510489734 |
41 | 73.8 | 60.6677156177156 | 13.1322843822844 |
42 | 87.6 | 75.076048951049 | 12.523951048951 |
43 | 81.8 | 100.942715617716 | -19.1427156177156 |
44 | 90.7 | 82.0968822843823 | 8.60311771561771 |
45 | 86.3 | 78.851048951049 | 7.44895104895105 |
46 | 93.6 | 81.7802156177156 | 11.8197843822844 |
47 | 98 | 95.1468822843823 | 2.85311771561769 |
48 | 94.3 | 102.292715617716 | -7.9927156177156 |
49 | 97.6 | 84.9427156177156 | 12.6572843822844 |
50 | 94.2 | 103.321882284382 | -9.12188228438229 |
51 | 100.2 | 97.9052156177156 | 2.29478438228439 |
52 | 106.7 | 104.438548951049 | 2.26145104895103 |
53 | 95.7 | 104.067715617716 | -8.3677156177156 |
54 | 94.6 | 96.976048951049 | -2.37604895104897 |
55 | 94.7 | 107.942715617716 | -13.2427156177156 |
56 | 96.2 | 94.9968822843823 | 1.20311771561771 |
57 | 96.3 | 84.351048951049 | 11.948951048951 |
58 | 103.3 | 91.7802156177156 | 11.5197843822844 |
59 | 106.8 | 104.846882284382 | 1.95311771561768 |
60 | 113.7 | 111.092715617716 | 2.6072843822844 |
61 | 117.4 | 104.342715617716 | 13.0572843822844 |
62 | 123.6 | 123.121882284382 | 0.478117715617685 |
63 | 137.6 | 127.305215617716 | 10.2947843822844 |
64 | 147.4 | 141.838548951049 | 5.56145104895106 |
65 | 137.2 | 144.767715617716 | -7.56771561771561 |
66 | 133.8 | 138.476048951049 | -4.67604895104893 |
67 | 136.7 | 147.142715617716 | -10.4427156177156 |
68 | 127.3 | 136.996882284382 | -9.69688228438228 |
69 | 128.7 | 115.451048951049 | 13.248951048951 |
70 | 127 | 124.180215617716 | 2.81978438228444 |
71 | 133.7 | 128.546882284382 | 5.15311771561767 |
72 | 132 | 137.992715617716 | -5.99271561771556 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
73 | 122.642715617716 | 101.21024594772 | 144.075185287711 |
74 | 128.364597902098 | 98.05450861964 | 158.674687184556 |
75 | 132.069813519814 | 94.947687119702 | 169.191939919925 |
76 | 136.308362470863 | 93.4434231308711 | 179.173301810854 |
77 | 133.676078088578 | 85.7516189807653 | 181.600537196391 |
78 | 134.952127039627 | 82.4535124204611 | 187.450741658793 |
79 | 148.294842657343 | 91.5898579285995 | 204.999827386086 |
80 | 148.591724941725 | 87.9715463768092 | 209.211903506641 |
81 | 136.742773892774 | 72.4453648827869 | 201.040182902761 |
82 | 132.222989510489 | 64.4475694708258 | 199.998409550153 |
83 | 133.769871794872 | 62.686411568824 | 204.85333202092 |
84 | 138.062587412587 | 63.8183346123645 | 212.30684021281 |