Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 1 |
beta | 0 |
gamma | 0 |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
13 | 87.9 | 81.9 | 5.99999999999997 |
14 | 88.9 | 88.9 | 1.4210854715202e-14 |
15 | 89.9 | 89.9 | 2.8421709430404e-14 |
16 | 90.9 | 90.9 | -1.4210854715202e-14 |
17 | 91.9 | 91.9 | -1.4210854715202e-14 |
18 | 92.9 | 92.9 | 0 |
19 | 93.9 | 93.9 | -1.4210854715202e-14 |
20 | 94.9 | 94.9 | 4.2632564145606e-14 |
21 | 95.9 | 95.9 | 0 |
22 | 96.9 | 96.9 | -4.2632564145606e-14 |
23 | 97.9 | 97.9 | 4.2632564145606e-14 |
24 | 98.9 | 98.9 | 0 |
25 | 99.9 | 99.9 | -4.2632564145606e-14 |
26 | 100.9 | 100.9 | 1.4210854715202e-14 |
27 | 101.9 | 101.9 | 2.8421709430404e-14 |
28 | 102.9 | 102.9 | -1.4210854715202e-14 |
29 | 103.9 | 103.9 | -1.4210854715202e-14 |
30 | 104.9 | 104.9 | 0 |
31 | 105.9 | 105.9 | -1.4210854715202e-14 |
32 | 106.9 | 106.9 | 4.2632564145606e-14 |
33 | 107.9 | 107.9 | 0 |
34 | 108.9 | 108.9 | -4.2632564145606e-14 |
35 | 109.9 | 109.9 | 4.2632564145606e-14 |
36 | 110.9 | 110.9 | 0 |
37 | 111.9 | 111.9 | -4.2632564145606e-14 |
38 | 112.9 | 112.9 | 1.4210854715202e-14 |
39 | 113.9 | 113.9 | 2.8421709430404e-14 |
40 | 114.9 | 114.9 | -1.4210854715202e-14 |
41 | 115.9 | 115.9 | -1.4210854715202e-14 |
42 | 116.9 | 116.9 | 0 |
43 | 117.9 | 117.9 | -1.4210854715202e-14 |
44 | 118.9 | 118.9 | 4.2632564145606e-14 |
45 | 119.9 | 119.9 | 0 |
46 | 120.9 | 120.9 | -4.2632564145606e-14 |
47 | 121.9 | 121.9 | 4.2632564145606e-14 |
48 | 122.9 | 122.9 | 0 |
49 | 123.9 | 123.9 | -4.2632564145606e-14 |
50 | 124.9 | 124.9 | 1.4210854715202e-14 |
51 | 125.9 | 125.9 | 2.8421709430404e-14 |
52 | 126.9 | 126.9 | -1.4210854715202e-14 |
53 | 127.9 | 127.9 | -1.4210854715202e-14 |
54 | 128.9 | 128.9 | 2.8421709430404e-14 |
55 | 129.9 | 129.9 | -2.8421709430404e-14 |
56 | 130.9 | 130.9 | 5.6843418860808e-14 |
57 | 131.9 | 131.9 | 0 |
58 | 132.9 | 132.9 | -5.6843418860808e-14 |
59 | 133.9 | 133.9 | 5.6843418860808e-14 |
60 | 134.9 | 134.9 | 0 |
61 | 135.9 | 135.9 | -5.6843418860808e-14 |
62 | 136.9 | 136.9 | 2.8421709430404e-14 |
63 | 137.9 | 137.9 | 2.8421709430404e-14 |
64 | 138.9 | 138.9 | -2.8421709430404e-14 |
65 | 139.9 | 139.9 | 0 |
66 | 140.9 | 140.9 | 0 |
67 | 141.9 | 141.9 | -2.8421709430404e-14 |
68 | 142.9 | 142.9 | 5.6843418860808e-14 |
69 | 143.9 | 143.9 | 0 |
70 | 144.9 | 144.9 | -5.6843418860808e-14 |
71 | 145.9 | 145.9 | 5.6843418860808e-14 |
72 | 146.9 | 146.9 | 0 |
73 | 147.9 | 147.9 | -5.6843418860808e-14 |
74 | 148.9 | 148.9 | 2.8421709430404e-14 |
75 | 149.9 | 149.9 | 2.8421709430404e-14 |
76 | 150.9 | 150.9 | -2.8421709430404e-14 |
77 | 151.9 | 151.9 | 0 |
78 | 152.9 | 152.9 | 0 |
79 | 153.9 | 153.9 | -2.8421709430404e-14 |
80 | 154.9 | 154.9 | 5.6843418860808e-14 |
81 | 155.9 | 155.9 | 0 |
82 | 156.9 | 156.9 | -5.6843418860808e-14 |
83 | 157.9 | 157.9 | 5.6843418860808e-14 |
84 | 158.9 | 158.9 | 0 |
85 | 159.9 | 159.9 | -5.6843418860808e-14 |
86 | 160.9 | 160.9 | 2.8421709430404e-14 |
87 | 161.9 | 161.9 | 2.8421709430404e-14 |
88 | 162.9 | 162.9 | -2.8421709430404e-14 |
89 | 163.9 | 163.9 | 0 |
90 | 164.9 | 164.9 | 0 |
91 | 165.9 | 165.9 | -2.8421709430404e-14 |
92 | 166.9 | 166.9 | 5.6843418860808e-14 |
93 | 167.9 | 167.9 | 0 |
94 | 168.9 | 168.9 | -5.6843418860808e-14 |
95 | 169.9 | 169.9 | 5.6843418860808e-14 |
96 | 170.9 | 170.9 | 0 |
97 | 171.9 | 171.9 | -5.6843418860808e-14 |
98 | 172.9 | 172.9 | 2.8421709430404e-14 |
99 | 173.9 | 173.9 | 2.8421709430404e-14 |
100 | 174.9 | 174.9 | -2.8421709430404e-14 |
101 | 175.9 | 175.9 | 0 |
102 | 176.9 | 176.9 | 0 |
103 | 177.9 | 177.9 | -2.8421709430404e-14 |
104 | 178.9 | 178.9 | 5.6843418860808e-14 |
105 | 179.9 | 179.9 | 0 |
106 | 180.9 | 180.9 | -5.6843418860808e-14 |
107 | 181.9 | 181.9 | 5.6843418860808e-14 |
108 | 182.9 | 182.9 | 0 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
109 | 183.9 | 182.699772080911 | 185.100227919089 |
110 | 184.9 | 183.202621398886 | 186.597378601114 |
111 | 185.9 | 183.821144263476 | 187.978855736525 |
112 | 186.9 | 184.499544161822 | 189.300455838178 |
113 | 187.9 | 185.216208784424 | 190.583791215576 |
114 | 188.9 | 185.96005402319 | 191.83994597681 |
115 | 189.9 | 186.724495409494 | 193.075504590506 |
116 | 190.9 | 187.505242797772 | 194.294757202229 |
117 | 191.9 | 188.299316242734 | 195.500683757266 |
118 | 192.9 | 189.104546064355 | 196.695453935645 |
119 | 193.9 | 189.919294329473 | 197.880705670527 |
120 | 194.9 | 190.742288526951 | 199.057711473049 |