Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.800425855635785 |
beta | 0.0331010367864571 |
gamma | 0.15549908037103 |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
13 | 104.73 | 103.368149038462 | 1.36185096153845 |
14 | 104.86 | 104.608075407788 | 0.251924592212262 |
15 | 105.03 | 104.980429403271 | 0.0495705967293389 |
16 | 105.62 | 105.610877398055 | 0.00912260194529324 |
17 | 105.63 | 105.625858141332 | 0.00414185866766559 |
18 | 105.63 | 105.604878573815 | 0.02512142618545 |
19 | 105.94 | 106.117190518231 | -0.177190518231455 |
20 | 106.61 | 106.116205435153 | 0.493794564847491 |
21 | 107.69 | 107.668710544952 | 0.0212894550478779 |
22 | 107.78 | 107.852324410478 | -0.0723244104776057 |
23 | 107.93 | 107.954507754376 | -0.0245077543758043 |
24 | 108.48 | 108.10639878835 | 0.37360121164977 |
25 | 108.14 | 108.929524867536 | -0.789524867535889 |
26 | 108.48 | 108.417361551336 | 0.0626384486637335 |
27 | 108.48 | 108.63128328867 | -0.151283288669632 |
28 | 108.89 | 109.093742822269 | -0.203742822268879 |
29 | 108.93 | 108.926581580882 | 0.00341841911752283 |
30 | 109.21 | 108.89405043261 | 0.315949567390405 |
31 | 109.47 | 109.628952151197 | -0.158952151197155 |
32 | 109.8 | 109.659953710305 | 0.140046289695292 |
33 | 111.73 | 110.901838589092 | 0.82816141090828 |
34 | 111.85 | 111.736959035365 | 0.113040964634919 |
35 | 112.12 | 112.00247936283 | 0.117520637169548 |
36 | 112.15 | 112.297653199898 | -0.147653199897903 |
37 | 112.17 | 112.670892042561 | -0.500892042561063 |
38 | 112.67 | 112.427285156098 | 0.242714843901879 |
39 | 112.8 | 112.79455860796 | 0.00544139203962857 |
40 | 113.44 | 113.400841701562 | 0.0391582984381671 |
41 | 113.53 | 113.460974484264 | 0.0690255157358877 |
42 | 114.53 | 113.518834901411 | 1.01116509858875 |
43 | 114.51 | 114.842065865822 | -0.332065865822315 |
44 | 115.05 | 114.785793761014 | 0.264206238986347 |
45 | 116.67 | 116.193715801134 | 0.476284198866352 |
46 | 117.07 | 116.760970550406 | 0.309029449594419 |
47 | 116.92 | 117.224675529818 | -0.304675529817999 |
48 | 117 | 117.203668665731 | -0.203668665731101 |
49 | 117.02 | 117.549610208876 | -0.529610208875951 |
50 | 117.35 | 117.333833668674 | 0.0161663313261471 |
51 | 117.36 | 117.534146312554 | -0.174146312553987 |
52 | 117.82 | 118.01470888547 | -0.19470888547032 |
53 | 117.88 | 117.899358685458 | -0.0193586854579308 |
54 | 118.24 | 117.924153819924 | 0.315846180076178 |
55 | 118.5 | 118.639167572072 | -0.139167572071685 |
56 | 118.8 | 118.7509308576 | 0.0490691423998584 |
57 | 119.76 | 119.982663244383 | -0.222663244382872 |
58 | 120.09 | 119.95618341104 | 0.133816588960045 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
59 | 120.226867301492 | 119.495761998803 | 120.957972604181 |
60 | 120.427206858052 | 119.478515540883 | 121.37589817522 |
61 | 120.905792758049 | 119.770313880317 | 122.041271635781 |
62 | 121.124637143139 | 119.81958672192 | 122.429687564358 |
63 | 121.29944523809 | 119.83578591485 | 122.76310456133 |
64 | 121.916716371613 | 120.301944326303 | 123.531488416924 |
65 | 121.96577222251 | 120.205238930538 | 123.726305514482 |
66 | 122.020092346032 | 120.11772140566 | 123.922463286405 |
67 | 122.463432799591 | 120.422145861161 | 124.504719738021 |
68 | 122.691377167953 | 120.513364444936 | 124.86938989097 |
69 | 123.873046525823 | 121.559947564813 | 126.186145486833 |
70 | 124.039400422065 | 121.592429856407 | 126.486370987722 |