Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.0856933077970092 |
beta | 0.133966475305803 |
gamma | 0.210070820415668 |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
13 | 8.668 | 8.90730328460187 | -0.239303284601871 |
14 | 13.082 | 13.4491526080878 | -0.367152608087789 |
15 | 38.157 | 38.8689753281552 | -0.711975328155155 |
16 | 58.263 | 58.7788482637078 | -0.515848263707817 |
17 | 81.153 | 81.3648054271869 | -0.211805427186917 |
18 | 88.476 | 88.927276416743 | -0.451276416742985 |
19 | 72.329 | 79.2169136883903 | -6.88791368839036 |
20 | 75.845 | 69.5013926970677 | 6.34360730293231 |
21 | 61.108 | 58.7010105481081 | 2.40698945189192 |
22 | 37.665 | 32.8357017859856 | 4.82929821401444 |
23 | 12.755 | 15.1771948283939 | -2.42219482839394 |
24 | 2.793 | 7.54035851209682 | -4.74735851209682 |
25 | 12.935 | 7.90045159257558 | 5.03454840742442 |
26 | 19.533 | 12.5956782493181 | 6.9373217506819 |
27 | 33.404 | 38.4897169640234 | -5.08571696402337 |
28 | 52.074 | 57.9903263769801 | -5.91632637698005 |
29 | 70.735 | 79.9827780515775 | -9.24777805157747 |
30 | 69.702 | 86.694324305443 | -16.9923243054429 |
31 | 61.656 | 74.7322227784386 | -13.0762227784386 |
32 | 82.993 | 67.2368556359704 | 15.7561443640296 |
33 | 53.99 | 56.9540077741217 | -2.96400777412166 |
34 | 32.283 | 32.2065078819177 | 0.076492118082264 |
35 | 15.686 | 13.8251062600636 | 1.86089373993636 |
36 | 2.713 | 6.34659467776843 | -3.63359467776843 |
37 | 12.842 | 8.56782900638849 | 4.27417099361151 |
38 | 19.244 | 13.3254124000935 | 5.91858759990655 |
39 | 48.488 | 35.6819224637679 | 12.8060775362321 |
40 | 54.464 | 56.6368096885508 | -2.17280968855079 |
41 | 84.192 | 78.7366457030856 | 5.45535429691436 |
42 | 84.458 | 85.9225951108235 | -1.46459511082354 |
43 | 85.793 | 76.2593356966418 | 9.53366430335817 |
44 | 75.163 | 77.0882215200617 | -1.92522152006171 |
45 | 68.212 | 61.1589032714238 | 7.05309672857624 |
46 | 49.233 | 35.8697335321788 | 13.3632664678212 |
47 | 24.302 | 16.5385274953842 | 7.7634725046158 |
48 | 5.402 | 6.85831393575046 | -1.45631393575046 |
49 | 15.058 | 12.0794910712933 | 2.97850892870668 |
50 | 33.559 | 18.5960439127449 | 14.9629560872551 |
51 | 70.358 | 51.6702178853299 | 18.6877821146701 |
52 | 85.934 | 77.918561917365 | 8.01543808263507 |
53 | 94.452 | 114.34047554971 | -19.8884755497099 |
54 | 129.305 | 122.43703248642 | 6.86796751358001 |
55 | 113.882 | 114.427829459730 | -0.545829459730129 |
56 | 107.256 | 113.081087749935 | -5.82508774993509 |
57 | 94.274 | 93.4000780841675 | 0.873921915832483 |
58 | 57.842 | 57.6310282321955 | 0.210971767804516 |
59 | 26.611 | 26.4432844991622 | 0.167715500837801 |
60 | 14.521 | 9.35159589871144 | 5.16940410128856 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
61 | 19.4184456467906 | 15.2065935006238 | 23.6302977929575 |
62 | 32.3219652694893 | 27.4778707914938 | 37.1660597474849 |
63 | 78.4603759484315 | 70.0861179514407 | 86.8346339454222 |
64 | 109.412722972227 | 97.5294342771035 | 121.296011667351 |
65 | 150.387317610432 | 133.341551005239 | 167.433084215626 |
66 | 170.851430593446 | 150.344425896385 | 191.358435290508 |
67 | 156.846912860106 | 136.833576216481 | 176.860249503732 |
68 | 153.451626386386 | 132.794137037388 | 174.109115735384 |
69 | 128.706729261245 | 110.376448001314 | 147.037010521176 |
70 | 79.1953544194529 | 66.9397997572367 | 91.450909081669 |
71 | 36.3126601141522 | 29.3546295683339 | 43.2706906599705 |
72 | 14.1058458897621 | 11.7828798339761 | 16.4288119455482 |