| Estimated Parameters of Exponential Smoothing | |
| Parameter | Value |
| alpha | 0.469691048112616 |
| beta | 0.300455994256597 |
| gamma | 1 |
| Interpolation Forecasts of Exponential Smoothing | |||
| t | Observed | Fitted | Residuals |
| 13 | 83 | 86.5926816239316 | -3.59268162393161 |
| 14 | 76 | 77.5833956371879 | -1.58339563718788 |
| 15 | 77 | 76.794402138584 | 0.205597861416024 |
| 16 | 72 | 70.3746971481254 | 1.62530285187455 |
| 17 | 64 | 61.3928467108587 | 2.60715328914131 |
| 18 | 70 | 66.9484213269438 | 3.05157867305624 |
| 19 | 69 | 75.018381899208 | -6.01838189920794 |
| 20 | 78 | 73.7289401577997 | 4.27105984220033 |
| 21 | 84 | 77.0417620915322 | 6.95823790846778 |
| 22 | 91 | 81.6403510817023 | 9.3596489182977 |
| 23 | 96 | 90.0627089352497 | 5.93729106475028 |
| 24 | 101 | 98.6738286415736 | 2.32617135842639 |
| 25 | 99 | 101.803545958472 | -2.80354595847177 |
| 26 | 98 | 97.890680625728 | 0.109319374271934 |
| 27 | 98 | 102.744566298714 | -4.74456629871405 |
| 28 | 97 | 97.9532280513072 | -0.953228051307178 |
| 29 | 92 | 91.1175949528343 | 0.882405047165733 |
| 30 | 106 | 98.692000620699 | 7.30799937930114 |
| 31 | 100 | 107.145202148465 | -7.14520214846502 |
| 32 | 107 | 113.817987072556 | -6.81798707255635 |
| 33 | 111 | 114.817415673438 | -3.81741567343757 |
| 34 | 115 | 115.577588247146 | -0.577588247145613 |
| 35 | 117 | 116.064571883904 | 0.935428116096247 |
| 36 | 120 | 118.252446005486 | 1.74755399451405 |
| 37 | 117 | 116.149495340168 | 0.850504659832467 |
| 38 | 108 | 113.772726932398 | -5.77272693239794 |
| 39 | 111 | 110.734829441275 | 0.265170558725416 |
| 40 | 118 | 108.459102250088 | 9.54089774991193 |
| 41 | 113 | 107.158867329643 | 5.8411326703568 |
| 42 | 129 | 120.802624769529 | 8.1973752304714 |
| 43 | 122 | 122.467137667288 | -0.467137667287886 |
| 44 | 135 | 133.850734844355 | 1.14926515564494 |
| 45 | 146 | 142.708550944563 | 3.29144905543666 |
| 46 | 151 | 152.054027295175 | -1.05402729517451 |
| 47 | 147 | 156.580586273897 | -9.58058627389698 |
| 48 | 151 | 156.236812945517 | -5.23681294551687 |
| 49 | 156 | 151.368962831473 | 4.63103716852675 |
| 50 | 144 | 148.780340552410 | -4.7803405524096 |
| 51 | 151 | 151.075379051861 | -0.0753790518606365 |
| 52 | 159 | 155.175510954643 | 3.82448904535673 |
| 53 | 148 | 150.038414410777 | -2.03841441077736 |
| 54 | 170 | 160.928885128604 | 9.07111487139568 |
| 55 | 163 | 158.230349884092 | 4.76965011590769 |
| 56 | 179 | 173.491268513331 | 5.50873148666875 |
| 57 | 184 | 186.708376833063 | -2.70837683306266 |
| 58 | 192 | 191.260309901062 | 0.739690098938382 |
| 59 | 197 | 192.689749636653 | 4.31025036334708 |
| 60 | 199 | 203.716313693272 | -4.71631369327176 |
| 61 | 205 | 206.941794185064 | -1.94179418506357 |
| 62 | 194 | 197.963313758854 | -3.96331375885367 |
| 63 | 200 | 204.940765425902 | -4.9407654259021 |
| 64 | 211 | 209.940773082206 | 1.05922691779378 |
| 65 | 211 | 201.122438786339 | 9.87756121366084 |
| 66 | 230 | 225.909550961025 | 4.09044903897453 |
| 67 | 229 | 220.295988854545 | 8.70401114545461 |
| 68 | 236 | 240.057458559765 | -4.05745855976522 |
| 69 | 239 | 245.334487401686 | -6.33448740168612 |
| 70 | 250 | 250.410767879563 | -0.41076787956257 |
| 71 | 254 | 253.42995185048 | 0.570048149520062 |
| 72 | 254 | 257.621689750201 | -3.62168975020074 |
| 73 | 264 | 262.69591386934 | 1.30408613066021 |
| 74 | 258 | 254.491283941411 | 3.5087160585891 |
| 75 | 264 | 265.835713240551 | -1.83571324055060 |
| 76 | 277 | 277.289958841612 | -0.289958841612020 |
| 77 | 274 | 274.137939662596 | -0.137939662595841 |
| 78 | 284 | 291.362074898671 | -7.36207489867076 |
| 79 | 279 | 281.409952410558 | -2.40995241055839 |
| 80 | 290 | 286.209326499249 | 3.79067350075098 |
| 81 | 287 | 292.098119231321 | -5.09811923132111 |
| 82 | 297 | 299.204085676986 | -2.20408567698553 |
| 83 | 302 | 299.955597586206 | 2.04440241379399 |
| 84 | 294 | 300.879471159033 | -6.87947115903336 |
| Extrapolation Forecasts of Exponential Smoothing | |||
| t | Forecast | 95% Lower Bound | 95% Upper Bound |
| 85 | 304.838545394674 | 295.685693040981 | 313.991397748368 |
| 86 | 294.809316128952 | 284.084094669302 | 305.534537588601 |
| 87 | 298.795162221134 | 286.051654261088 | 311.53867018118 |
| 88 | 309.314039898841 | 294.174312088511 | 324.453767709172 |
| 89 | 303.802434953038 | 285.947176423893 | 321.657693482183 |
| 90 | 314.703407908807 | 293.858013100900 | 335.548802716715 |
| 91 | 309.317360248233 | 285.240216865131 | 333.394503631335 |
| 92 | 317.359030181487 | 289.833004384508 | 344.885055978467 |
| 93 | 315.040740993757 | 283.867241584663 | 346.214240402851 |
| 94 | 325.082604339094 | 290.077454234522 | 360.087754443665 |
| 95 | 328.440034716885 | 289.430557738399 | 367.449511695371 |
| 96 | 322.700419509781 | 279.523340649142 | 365.87749837042 |
