Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 1 |
beta | 0.0968811902755698 |
gamma | FALSE |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
3 | 163.39 | 163.2 | 0.189999999999998 |
4 | 162.58 | 163.848407426152 | -1.26840742615232 |
5 | 162.66 | 162.915522604952 | -0.255522604952375 |
6 | 162.66 | 162.970767270842 | -0.310767270842234 |
7 | 162.66 | 162.940659767744 | -0.280659767744368 |
8 | 162.89 | 162.913469115383 | -0.0234691153828237 |
9 | 163.03 | 163.14119539955 | -0.111195399549814 |
10 | 162.38 | 163.270422656888 | -0.890422656888262 |
11 | 162.44 | 162.534157450041 | -0.0941574500405977 |
12 | 162.51 | 162.585035364207 | -0.0750353642073662 |
13 | 162.51 | 162.64776584881 | -0.137765848810176 |
14 | 162.42 | 162.634418929398 | -0.214418929398136 |
15 | 162.07 | 162.5236457683 | -0.453645768300419 |
16 | 161.45 | 162.129696026304 | -0.679696026304015 |
17 | 162.22 | 161.44384626625 | 0.776153733749908 |
18 | 162.21 | 162.289040963813 | -0.0790409638126164 |
19 | 162.21 | 162.271383381158 | -0.0613833811579241 |
20 | 162.21 | 162.265436486128 | -0.0554364861282011 |
21 | 162.41 | 162.260065733367 | 0.149934266632584 |
22 | 163.96 | 162.474591543582 | 1.48540845641816 |
23 | 163.79 | 164.168499682885 | -0.378499682885064 |
24 | 163.86 | 163.961830183088 | -0.101830183088197 |
25 | 163.86 | 164.021964753745 | -0.161964753744655 |
26 | 164.39 | 164.006273415619 | 0.383726584380781 |
27 | 164.74 | 164.573449303854 | 0.166550696145634 |
28 | 164.27 | 164.939584933538 | -0.669584933538175 |
29 | 165.2 | 164.404714748186 | 0.795285251813567 |
30 | 165.42 | 165.411762929991 | 0.00823707000927243 |
31 | 165.42 | 165.632560947138 | -0.212560947137604 |
32 | 165.5 | 165.611967789573 | -0.111967789572788 |
33 | 165.71 | 165.681120216846 | 0.0288797831535419 |
34 | 165.74 | 165.893918124613 | -0.153918124613284 |
35 | 165.29 | 165.909006353496 | -0.619006353495791 |
36 | 164.88 | 165.399036281181 | -0.519036281180945 |
37 | 164.88 | 164.938751428464 | -0.0587514284639497 |
38 | 164.57 | 164.933059520144 | -0.363059520143963 |
39 | 164.53 | 164.587885881692 | -0.0578858816915329 |
40 | 165.03 | 164.542277828573 | 0.487722171426896 |
41 | 165.92 | 165.089528933065 | 0.830471066935246 |
42 | 165.92 | 166.059985958519 | -0.139985958518849 |
43 | 165.92 | 166.046423952236 | -0.126423952235683 |
44 | 165.92 | 166.034175849264 | -0.114175849263745 |
45 | 166.12 | 166.023114357086 | 0.0968856429136622 |
46 | 166.34 | 166.232500753492 | 0.107499246507558 |
47 | 165.48 | 166.462915408448 | -0.982915408447838 |
48 | 165.61 | 165.507689393737 | 0.102310606262819 |
49 | 165.61 | 165.64760136705 | -0.0376013670497457 |
50 | 165.94 | 165.643958501854 | 0.296041498145996 |
51 | 165.88 | 166.002639354565 | -0.122639354565337 |
52 | 166.23 | 165.93075790792 | 0.299242092079595 |
53 | 166.32 | 166.309748837982 | 0.0102511620183634 |
54 | 166.43 | 166.40074198276 | 0.0292580172403234 |
55 | 166.43 | 166.513576534295 | -0.0835765342950197 |
56 | 166.2 | 166.505479540173 | -0.305479540173422 |
57 | 166.21 | 166.245884318717 | -0.0358843187165689 |
58 | 168.02 | 166.252407803207 | 1.76759219679292 |
59 | 168.68 | 168.233654239154 | 0.446345760845787 |
60 | 168.65 | 168.936896747739 | -0.286896747739405 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
61 | 168.879101849332 | 167.90131294546 | 169.856890753204 |
62 | 169.108203698664 | 167.656871017462 | 170.559536379867 |
63 | 169.337305547997 | 167.474825069292 | 171.199786026702 |
64 | 169.566407397329 | 167.316647546321 | 171.816167248337 |
65 | 169.795509246661 | 167.168329882199 | 172.422688611123 |
66 | 170.024611095993 | 167.023155297271 | 173.026066894716 |
67 | 170.253712945326 | 166.877418647774 | 173.630007242877 |
68 | 170.482814794658 | 166.728897170413 | 174.236732418902 |
69 | 170.71191664399 | 166.576183667833 | 174.847649620147 |
70 | 170.941018493322 | 166.41835560011 | 175.463681386534 |
71 | 171.170120342654 | 166.254795122805 | 176.085445562503 |
72 | 171.399222191987 | 166.085084287829 | 176.713360096144 |