Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.575421884949086 |
beta | 0 |
gamma | 1 |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
13 | 112.09 | 106.263574288625 | 5.82642571137518 |
14 | 129.47 | 126.311507228401 | 3.15849277159927 |
15 | 119.72 | 118.534447733525 | 1.18555226647460 |
16 | 134.81 | 134.566032853922 | 0.243967146077978 |
17 | 135.8 | 135.872734781201 | -0.0727347812006087 |
18 | 129.27 | 129.717493666037 | -0.44749366603736 |
19 | 126.94 | 128.101795146917 | -1.16179514691723 |
20 | 153.45 | 143.819141094166 | 9.63085890583429 |
21 | 121.86 | 137.196995719018 | -15.3369957190175 |
22 | 133.47 | 125.705934483508 | 7.76406551649166 |
23 | 135.34 | 144.023195302318 | -8.68319530231761 |
24 | 117.1 | 113.829649139404 | 3.27035086059595 |
25 | 120.65 | 123.208163961331 | -2.55816396133098 |
26 | 132.49 | 138.527003687055 | -6.03700368705495 |
27 | 137.6 | 124.126853073368 | 13.4731469266324 |
28 | 138.69 | 148.239039162775 | -9.5490391627750 |
29 | 125.53 | 143.774063766198 | -18.2440637661984 |
30 | 133.09 | 127.138512032334 | 5.95148796766628 |
31 | 129.08 | 128.872519387092 | 0.207480612907858 |
32 | 145.94 | 150.126396894121 | -4.18639689412092 |
33 | 129.07 | 125.408158030687 | 3.66184196931312 |
34 | 139.69 | 134.823840532291 | 4.86615946770911 |
35 | 142.09 | 144.53473800437 | -2.44473800437009 |
36 | 137.29 | 121.773192180732 | 15.5168078192678 |
37 | 127.03 | 136.185668532610 | -9.15566853261012 |
38 | 137.25 | 147.375204229572 | -10.1252042295716 |
39 | 156.87 | 138.297969609837 | 18.5720303901634 |
40 | 150.89 | 155.859448196624 | -4.96944819662397 |
41 | 139.14 | 149.286457707526 | -10.1464577075265 |
42 | 158.3 | 147.950907445663 | 10.3490925543371 |
43 | 149 | 148.975802735786 | 0.0241972642144219 |
44 | 158.36 | 171.023175765537 | -12.6631757655367 |
45 | 168.06 | 142.297604644795 | 25.7623953552047 |
46 | 153.38 | 166.367278926474 | -12.9872789264736 |
47 | 173.86 | 163.068853947964 | 10.7911460520356 |
48 | 162.47 | 152.207703335308 | 10.2622966646924 |
49 | 145.17 | 152.048495173265 | -6.87849517326507 |
50 | 168.89 | 166.425327278975 | 2.46467272102461 |
51 | 166.64 | 177.842073089522 | -11.2020730895223 |
52 | 140.07 | 167.848908560512 | -27.7789085605115 |
53 | 128.84 | 145.731871078917 | -16.8918710789173 |
54 | 123.4 | 148.777573214764 | -25.3775732147641 |
55 | 120.3 | 126.431201949995 | -6.13120194999533 |
56 | 129.66 | 136.628126945881 | -6.96812694588127 |
57 | 118.12 | 127.632395941283 | -9.51239594128324 |
58 | 113.91 | 117.002127082915 | -3.09212708291517 |
59 | 131.09 | 126.084147424319 | 5.00585257568059 |
60 | 119.14 | 116.262787544829 | 2.87721245517065 |
61 | 115.33 | 108.418468056010 | 6.91153194398971 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
62 | 129.882148583530 | 108.863664583781 | 150.900632583279 |
63 | 133.207422119426 | 108.849924119784 | 157.564920119069 |
64 | 123.942694576816 | 97.5671080632086 | 150.318281090423 |
65 | 122.259346557542 | 93.5314778239184 | 150.987215291166 |
66 | 129.891139257977 | 97.784462101679 | 161.997816414274 |
67 | 130.212043482462 | 96.0097970670925 | 164.414289897832 |
68 | 144.498455771061 | 105.735156025953 | 183.261755516169 |
69 | 137.420838203399 | 98.4649286527413 | 176.376747754057 |
70 | 134.409448222772 | 94.4857032884473 | 174.333193157097 |
71 | 151.029870371034 | 105.669847774969 | 196.389892967098 |
72 | 135.187409290297 | 92.3698157698425 | 178.005002810751 |
73 | 126.112645851546 | 85.3323415240544 | 166.892950179037 |