Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.940122076120127 |
beta | 0 |
gamma | 0.879523943587333 |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
13 | 104.78 | 103.790849714984 | 0.989150285015697 |
14 | 105.56 | 105.612440022055 | -0.0524400220550092 |
15 | 107.95 | 108.069094236495 | -0.11909423649513 |
16 | 107.11 | 107.252741862916 | -0.142741862915869 |
17 | 107.47 | 107.356142863382 | 0.113857136618449 |
18 | 107.06 | 106.692186000981 | 0.367813999019177 |
19 | 99.71 | 102.036128650278 | -2.32612865027794 |
20 | 99.6 | 98.6707167424053 | 0.929283257594719 |
21 | 107.19 | 107.452098207533 | -0.262098207533498 |
22 | 107.26 | 106.859196716246 | 0.400803283753746 |
23 | 113.24 | 107.437393704561 | 5.80260629543928 |
24 | 113.52 | 113.509834084474 | 0.0101659155259313 |
25 | 110.48 | 110.687516440759 | -0.207516440759221 |
26 | 111.41 | 111.367437643872 | 0.0425623561284425 |
27 | 115.5 | 114.040738945156 | 1.45926105484389 |
28 | 118.32 | 114.648592693006 | 3.67140730699427 |
29 | 118.42 | 118.36275000201 | 0.0572499979899419 |
30 | 117.5 | 117.567646049662 | -0.0676460496616613 |
31 | 110.23 | 111.842653584567 | -1.61265358456718 |
32 | 109.19 | 109.198130377866 | -0.00813037786647897 |
33 | 118.41 | 117.77795751877 | 0.632042481230044 |
34 | 118.3 | 118.013472388472 | 0.286527611527688 |
35 | 116.1 | 118.788028931567 | -2.68802893156678 |
36 | 114.11 | 116.577847316553 | -2.46784731655293 |
37 | 113.41 | 111.395045612222 | 2.0149543877782 |
38 | 114.33 | 114.196619415067 | 0.13338058493288 |
39 | 116.61 | 117.096093266855 | -0.486093266855235 |
40 | 123.64 | 115.978037930675 | 7.66196206932491 |
41 | 123.77 | 123.250700643369 | 0.519299356630711 |
42 | 123.39 | 122.838771825832 | 0.551228174167861 |
43 | 116.03 | 117.320236910911 | -1.29023691091105 |
44 | 114.95 | 115.000879063082 | -0.0508790630820499 |
45 | 123.4 | 124.021698274949 | -0.621698274948656 |
46 | 123.53 | 123.038380976514 | 0.491619023486393 |
47 | 114.45 | 123.855080145326 | -9.40508014532602 |
48 | 114.26 | 115.337233133046 | -1.07723313304615 |
49 | 114.35 | 111.6913217963 | 2.65867820370019 |
50 | 112.77 | 115.003682512179 | -2.23368251217875 |
51 | 115.31 | 115.61267624144 | -0.302676241440437 |
52 | 114.93 | 115.076926195223 | -0.146926195223315 |
53 | 116.38 | 114.663213070954 | 1.71678692904605 |
54 | 115.07 | 115.441353925412 | -0.371353925412421 |
55 | 105 | 109.37894488538 | -4.37894488537954 |
56 | 103.43 | 104.329832898748 | -0.899832898747903 |
57 | 114.52 | 111.634657549666 | 2.88534245033419 |
58 | 115.04 | 114.042116210567 | 0.997883789432521 |
59 | 117.16 | 114.799258697073 | 2.36074130292704 |
60 | 115 | 117.794391373707 | -2.79439137370667 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
61 | 112.707546636338 | 107.901799475681 | 117.513293796995 |
62 | 113.254677825702 | 106.624732741806 | 119.884622909597 |
63 | 116.076355195318 | 107.911923275539 | 124.240787115098 |
64 | 115.830814665446 | 106.506547002196 | 125.155082328695 |
65 | 115.649636238913 | 105.296635380989 | 126.002637096838 |
66 | 114.710446078231 | 103.487640600831 | 125.933251555631 |
67 | 108.796168877479 | 97.221150421409 | 120.371187333549 |
68 | 108.01512424732 | 95.6661519389363 | 120.364096555703 |
69 | 116.724904960878 | 102.654670690835 | 130.795139230921 |
70 | 116.309380438264 | 101.584347945276 | 131.034412931251 |
71 | 116.195025509601 | 100.813107287609 | 131.576943731594 |
72 | 116.693000666951 | 78.0157801536927 | 155.37022118021 |