Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.364306851657357 |
beta | 0.0175860401361263 |
gamma | 0.365175630758897 |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
13 | 394 | 337.387993889434 | 56.6120061105661 |
14 | 209 | 185.836759568246 | 23.163240431754 |
15 | 248 | 228.415920467191 | 19.5840795328086 |
16 | 254 | 243.685005704923 | 10.3149942950772 |
17 | 202 | 197.230630655762 | 4.7693693442377 |
18 | 258 | 257.789317000446 | 0.210682999554194 |
19 | 215 | 153.566090937901 | 61.4339090620995 |
20 | 309 | 184.449859395439 | 124.550140604561 |
21 | 240 | 401.940842324329 | -161.940842324329 |
22 | 258 | 292.733884509088 | -34.733884509088 |
23 | 276 | 318.064149366133 | -42.0641493661333 |
24 | 48 | 39.618647850406 | 8.38135214959402 |
25 | 455 | 722.05544768289 | -267.05544768289 |
26 | 345 | 316.467311169629 | 28.5326888303713 |
27 | 311 | 375.88542548327 | -64.88542548327 |
28 | 346 | 356.67098263017 | -10.67098263017 |
29 | 310 | 277.011656046867 | 32.9883439531326 |
30 | 297 | 368.616845922488 | -71.6168459224876 |
31 | 300 | 218.418532898393 | 81.5814671016068 |
32 | 274 | 268.821162972608 | 5.17883702739152 |
33 | 292 | 372.573040156957 | -80.5730401569572 |
34 | 304 | 317.676284506365 | -13.6762845063647 |
35 | 186 | 351.7127866458 | -165.7127866458 |
36 | 14 | 40.970341542691 | -26.970341542691 |
37 | 321 | 452.507676090507 | -131.507676090507 |
38 | 206 | 231.246509763799 | -25.2465097637987 |
39 | 160 | 238.817484525147 | -78.8174845251469 |
40 | 217 | 220.039207785348 | -3.03920778534848 |
41 | 204 | 177.205323765314 | 26.7946762346862 |
42 | 246 | 220.434385892667 | 25.565614107333 |
43 | 234 | 165.211024038115 | 68.7889759618849 |
44 | 175 | 191.851169961352 | -16.8511699613521 |
45 | 364 | 240.005872076321 | 123.994127923679 |
46 | 328 | 275.507437989324 | 52.4925620106764 |
47 | 158 | 289.715127918355 | -131.715127918355 |
48 | 40 | 31.1824530397979 | 8.81754696020209 |
49 | 556 | 575.586209421048 | -19.5862094210484 |
50 | 193 | 340.426516057843 | -147.426516057843 |
51 | 221 | 287.697275683571 | -66.697275683571 |
52 | 278 | 299.550412397761 | -21.5504123977607 |
53 | 230 | 243.451461780413 | -13.4514617804134 |
54 | 253 | 277.857458185179 | -24.8574581851793 |
55 | 240 | 203.293643048527 | 36.7063569514725 |
56 | 252 | 196.515398521132 | 55.4846014788677 |
57 | 228 | 313.810877272973 | -85.8108772729734 |
58 | 306 | 257.278177108588 | 48.7218228914119 |
59 | 206 | 226.119291357119 | -20.1192913571195 |
60 | 48 | 34.1186693295488 | 13.8813306704512 |
61 | 557 | 612.083277775202 | -55.0832777752019 |
62 | 279 | 313.847077191337 | -34.8470771913372 |
63 | 399 | 322.051945875828 | 76.9480541241721 |
64 | 364 | 414.723685379123 | -50.723685379123 |
65 | 306 | 331.239167754688 | -25.2391677546882 |
66 | 471 | 370.991741029289 | 100.008258970711 |
67 | 293 | 326.607180935449 | -33.6071809354488 |
68 | 333 | 289.992907770767 | 43.0070922292334 |
69 | 316 | 387.472271490094 | -71.4722714900944 |
70 | 329 | 367.839216061215 | -38.8392160612147 |
71 | 265 | 272.684719569595 | -7.68471956959496 |
72 | 61 | 46.4342475235001 | 14.5657524764999 |
73 | 679 | 729.294269141665 | -50.2942691416652 |
74 | 428 | 374.107414342273 | 53.8925856577268 |
75 | 394 | 454.017712828108 | -60.0177128281079 |
76 | 352 | 471.62375057301 | -119.62375057301 |
77 | 387 | 361.191931250635 | 25.8080687493654 |
78 | 590 | 458.635130614346 | 131.364869385654 |
79 | 177 | 373.90779652733 | -196.90779652733 |
80 | 199 | 294.305136045165 | -95.3051360451646 |
81 | 203 | 302.811318510877 | -99.8113185108766 |
82 | 255 | 275.671042563595 | -20.6710425635953 |
83 | 261 | 209.748452127371 | 51.2515478726286 |
84 | 115 | 41.9880739693028 | 73.0119260306972 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
85 | 891.786725917621 | 803.332122495702 | 980.24132933954 |
86 | 491.897031143415 | 398.505377246997 | 585.288685039833 |
87 | 531.514468075691 | 420.474700067001 | 642.554236084381 |
88 | 560.126248197082 | 433.001779106576 | 687.250717287588 |
89 | 513.545041210723 | 381.676313852823 | 645.413768568623 |
90 | 662.915623187982 | 493.046595136087 | 832.784651239877 |
91 | 391.448027036838 | 263.909227079194 | 518.986826994483 |
92 | 411.128046803908 | 267.966941729587 | 554.289151878228 |
93 | 479.357322539207 | 308.318114284168 | 650.396530794246 |
94 | 534.773752214929 | 338.647511412387 | 730.89999301747 |
95 | 449.321420097673 | 271.059111672924 | 627.583728522421 |
96 | 98.0862076960368 | 62.0274373643868 | 134.144978027687 |