| Estimated Parameters of Exponential Smoothing | |
| Parameter | Value |
| alpha | 0.799417188372112 |
| beta | 0.422190477532405 |
| gamma | 1 |
| Interpolation Forecasts of Exponential Smoothing | |||
| t | Observed | Fitted | Residuals |
| 13 | 292300 | 290291.770120968 | 2008.22987903241 |
| 14 | 288186 | 288526.781022269 | -340.781022268697 |
| 15 | 281477 | 281924.588728638 | -447.588728637842 |
| 16 | 282656 | 282923.979980075 | -267.979980075033 |
| 17 | 280190 | 280523.26700116 | -333.26700115978 |
| 18 | 280408 | 280923.379699651 | -515.379699651443 |
| 19 | 276836 | 279339.314168009 | -2503.31416800898 |
| 20 | 275216 | 271491.851983584 | 3724.14801641589 |
| 21 | 274352 | 271778.663359737 | 2573.33664026338 |
| 22 | 271311 | 272872.405552972 | -1561.40555297176 |
| 23 | 289802 | 295292.393645528 | -5490.39364552771 |
| 24 | 290726 | 293926.459101318 | -3200.45910131827 |
| 25 | 292300 | 290901.776356128 | 1398.22364387190 |
| 26 | 278506 | 285882.607107438 | -7376.60710743768 |
| 27 | 269826 | 269283.338910379 | 542.661089621193 |
| 28 | 265861 | 266850.516668761 | -989.516668760625 |
| 29 | 269034 | 259595.816721313 | 9438.18327868666 |
| 30 | 264176 | 266632.636152248 | -2456.63615224784 |
| 31 | 255198 | 261426.245701112 | -6228.24570111238 |
| 32 | 253353 | 249155.978306184 | 4197.0216938165 |
| 33 | 246057 | 247095.315829582 | -1038.31582958231 |
| 34 | 235372 | 240854.375870797 | -5482.3758707974 |
| 35 | 258556 | 250838.046946566 | 7717.953053434 |
| 36 | 260993 | 258734.938452711 | 2258.06154728914 |
| 37 | 254663 | 261328.739824001 | -6665.73982400139 |
| 38 | 250643 | 246790.738227599 | 3852.26177240099 |
| 39 | 243422 | 242951.597210893 | 470.402789106796 |
| 40 | 247105 | 241734.949760818 | 5370.05023918199 |
| 41 | 248541 | 245398.102703747 | 3142.89729625257 |
| 42 | 245039 | 246782.333627287 | -1743.33362728695 |
| 43 | 237080 | 243361.216796867 | -6281.21679686697 |
| 44 | 237085 | 235012.816447624 | 2072.18355237567 |
| 45 | 225554 | 231524.989152044 | -5970.98915204394 |
| 46 | 226839 | 220116.770772564 | 6722.22922743642 |
| 47 | 247934 | 245367.758590598 | 2566.2414094024 |
| 48 | 248333 | 250006.91676132 | -1673.91676132006 |
| 49 | 246969 | 248374.219351017 | -1405.21935101683 |
| 50 | 245098 | 242719.652505235 | 2378.34749476527 |
| 51 | 246263 | 239081.687069545 | 7181.31293045534 |
| 52 | 255765 | 248411.741493572 | 7353.25850642825 |
| 53 | 264319 | 258029.436893688 | 6289.56310631183 |
| 54 | 268347 | 266603.574888203 | 1743.42511179729 |
| 55 | 273046 | 271635.505546721 | 1410.49445327930 |
| 56 | 273963 | 280621.827498534 | -6658.82749853382 |
| 57 | 267430 | 273977.766705942 | -6547.76670594158 |
| 58 | 271993 | 270562.705499243 | 1430.29450075666 |
| 59 | 292710 | 299400.744027915 | -6690.74402791483 |
| 60 | 295881 | 297713.759841143 | -1832.75984114257 |
| 61 | 293299 | 297618.678154695 | -4319.67815469479 |
| Extrapolation Forecasts of Exponential Smoothing | |||
| t | Forecast | 95% Lower Bound | 95% Upper Bound |
| 62 | 290423.164376725 | 281803.519274877 | 299042.809478573 |
| 63 | 284761.477897907 | 271844.816634783 | 297678.139161031 |
| 64 | 285875.110741399 | 267749.636242918 | 304000.585239881 |
| 65 | 284081.978579323 | 260294.307565511 | 307869.649593135 |
| 66 | 279242.248772801 | 249601.137227562 | 308883.360318040 |
| 67 | 275021.427668052 | 239145.64533088 | 310897.210005225 |
| 68 | 273155.086456089 | 230408.492547598 | 315901.680364579 |
| 69 | 266160.410812533 | 217099.655115901 | 315221.166509166 |
| 70 | 266083.509562310 | 209210.366969692 | 322956.652154927 |
| 71 | 287344.969085467 | 217113.220222853 | 357576.717948081 |
| 72 | 289853.487633864 | 209692.427613869 | 370014.547653860 |
| 73 | 289266.142055396 | 200007.518008578 | 378524.766102213 |
