Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.800425855140645 |
beta | 0.0331010367938548 |
gamma | 0.155499080750997 |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
13 | 104.73 | 103.368149038462 | 1.36185096153842 |
14 | 104.86 | 104.608075407099 | 0.251924592900835 |
15 | 105.03 | 104.98042940301 | 0.049570596990165 |
16 | 105.62 | 105.610877397986 | 0.00912260201413062 |
17 | 105.63 | 105.625858141324 | 0.0041418586764479 |
18 | 105.63 | 105.60487857382 | 0.0251214261796378 |
19 | 105.94 | 106.117190518229 | -0.177190518229409 |
20 | 106.61 | 106.116205435251 | 0.493794564749024 |
21 | 107.69 | 107.668710544731 | 0.0212894552693683 |
22 | 107.78 | 107.852324410432 | -0.0723244104318752 |
23 | 107.93 | 107.954507754413 | -0.0245077544134489 |
24 | 108.48 | 108.10639878838 | 0.373601211619913 |
25 | 108.14 | 108.929524867571 | -0.789524867570535 |
26 | 108.48 | 108.417361551599 | 0.0626384484012732 |
27 | 108.48 | 108.631283288652 | -0.151283288652067 |
28 | 108.89 | 109.093742822335 | -0.203742822335499 |
29 | 108.93 | 108.926581581002 | 0.00341841899826534 |
30 | 109.21 | 108.894050432639 | 0.315949567361073 |
31 | 109.47 | 109.628952151016 | -0.158952151016308 |
32 | 109.8 | 109.659953710454 | 0.14004628954639 |
33 | 111.73 | 110.901838588991 | 0.828161411008736 |
34 | 111.85 | 111.736959034911 | 0.113040965089311 |
35 | 112.12 | 112.002479362695 | 0.117520637305205 |
36 | 112.15 | 112.297653199882 | -0.14765319988237 |
37 | 112.17 | 112.670892042672 | -0.500892042671921 |
38 | 112.67 | 112.427285156356 | 0.242714843643924 |
39 | 112.8 | 112.794558607827 | 0.00544139217296902 |
40 | 113.44 | 113.400841701517 | 0.0391582984831871 |
41 | 113.53 | 113.460974484271 | 0.0690255157290238 |
42 | 114.53 | 113.518834901439 | 1.01116509856136 |
43 | 114.51 | 114.842065865226 | -0.332065865225957 |
44 | 115.05 | 114.785793761209 | 0.264206238791175 |
45 | 116.67 | 116.193715801099 | 0.476284198900672 |
46 | 117.07 | 116.760970550048 | 0.309029449952277 |
47 | 116.92 | 117.224675529598 | -0.304675529598185 |
48 | 117 | 117.203668665873 | -0.20366866587301 |
49 | 117.02 | 117.549610208994 | -0.52961020899393 |
50 | 117.35 | 117.333833669063 | 0.016166330937466 |
51 | 117.36 | 117.53414631254 | -0.174146312539676 |
52 | 117.82 | 118.014708885544 | -0.194708885544003 |
53 | 117.88 | 117.89935868561 | -0.0193586856101575 |
54 | 118.24 | 117.924153820167 | 0.31584617983269 |
55 | 118.5 | 118.639167571678 | -0.139167571678371 |
56 | 118.8 | 118.750930857801 | 0.0490691421989595 |
57 | 119.76 | 119.982663244492 | -0.222663244491997 |
58 | 120.09 | 119.956183411041 | 0.133816588958965 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
59 | 120.226867301325 | 119.495761998643 | 120.957972604006 |
60 | 120.427206857907 | 119.478515540984 | 121.375898174829 |
61 | 120.905792757828 | 119.770313880513 | 122.041271635144 |
62 | 121.124637143078 | 119.819586722415 | 122.429687563741 |
63 | 121.299445237922 | 119.835785915359 | 122.763104560485 |
64 | 121.91671637142 | 120.301944326895 | 123.531488415945 |
65 | 121.965772222373 | 120.205238931287 | 123.726305513459 |
66 | 122.020092346141 | 120.117721406749 | 123.922463285533 |
67 | 122.463432799368 | 120.422145862008 | 124.504719736729 |
68 | 122.691377167944 | 120.513364446082 | 124.869389889805 |
69 | 123.873046525867 | 121.559947566095 | 126.186145485638 |
70 | 124.039400422033 | 121.592429857695 | 126.486370986372 |