| Estimated Parameters of Exponential Smoothing | |
| Parameter | Value |
| alpha | 0.821375270653289 |
| beta | 0.142888673652444 |
| gamma | FALSE |
| Interpolation Forecasts of Exponential Smoothing | |||
| t | Observed | Fitted | Residuals |
| 3 | 7.84 | 7.62 | 0.22 |
| 4 | 7.79 | 7.77652290860253 | 0.0134770913974718 |
| 5 | 7.83 | 7.76499474909273 | 0.0650052509072667 |
| 6 | 7.94 | 7.80341990131511 | 0.13658009868489 |
| 7 | 8.02 | 7.91666461724157 | 0.103335382758426 |
| 8 | 8.06 | 8.01473092586682 | 0.0452690741331843 |
| 9 | 8.12 | 8.07041601950956 | 0.0495839804904357 |
| 10 | 8.13 | 8.13546470545656 | -0.00546470545655708 |
| 11 | 7.97 | 8.15465639571023 | -0.184656395710227 |
| 12 | 8.01 | 8.00499222382306 | 0.00500777617693693 |
| 13 | 8 | 8.01170125122066 | -0.0117012512206625 |
| 14 | 7.9 | 8.00331257675838 | -0.103312576758377 |
| 15 | 7.99 | 7.90755132137826 | 0.082448678621744 |
| 16 | 8.02 | 7.97404637496492 | 0.0459536250350752 |
| 17 | 8.08 | 8.01595865148399 | 0.0640413485160138 |
| 18 | 8.02 | 8.08024396392216 | -0.0602439639221615 |
| 19 | 8.07 | 8.0353738479584 | 0.0346261520416 |
| 20 | 8.11 | 8.07249160522709 | 0.037508394772912 |
| 21 | 8.19 | 8.11637894651599 | 0.0736210534840129 |
| 22 | 8.16 | 8.19856888398697 | -0.0385688839869722 |
| 23 | 8.08 | 8.18408213553337 | -0.104082135533369 |
| 24 | 8.22 | 8.10356879931284 | 0.116431200687158 |
| 25 | 8.15 | 8.21784463814529 | -0.0678446381452851 |
| 26 | 8.19 | 8.17279825889696 | 0.0172017411030385 |
| 27 | 8.31 | 8.19962575860226 | 0.110374241397736 |
| 28 | 8.3 | 8.31593694340907 | -0.0159369434090681 |
| 29 | 8.34 | 8.32662880169159 | 0.013371198308409 |
| 30 | 8.31 | 8.36296295648082 | -0.0529629564808207 |
| 31 | 8.38 | 8.33859586772867 | 0.0414041322713334 |
| 32 | 8.34 | 8.396598977258 | -0.0565989772579982 |
| 33 | 8.44 | 8.36746200458566 | 0.0725379954143381 |
| 34 | 8.64 | 8.45290838580079 | 0.187091614199208 |
| 35 | 8.6 | 8.65440432567057 | -0.054404325670566 |
| 36 | 8.61 | 8.65115629675394 | -0.0411562967539378 |
| 37 | 8.54 | 8.65395955322817 | -0.11395955322817 |
| 38 | 8.69 | 8.58358912683445 | 0.106410873165546 |
| 39 | 8.73 | 8.70671445492198 | 0.0232855450780232 |
| 40 | 8.91 | 8.7642956073441 | 0.145704392655899 |
| 41 | 9.01 | 8.93952920236391 | 0.0704707976360854 |
| 42 | 9.08 | 9.06123860379127 | 0.0187613962087294 |
| 43 | 8.94 | 9.14267711707564 | -0.202677117075643 |
| 44 | 9.03 | 9.01844426653652 | 0.0115557334634779 |
| 45 | 9.02 | 9.0715332228266 | -0.0515332228266043 |
| 46 | 8.96 | 9.06675426238001 | -0.106754262380012 |
| 47 | 9.03 | 9.00408886781464 | 0.0259111321853638 |
| 48 | 8.94 | 9.0534326134237 | -0.113432613423697 |
| 49 | 8.95 | 8.97500980829994 | -0.0250098082999433 |
| 50 | 8.95 | 8.96628002693846 | -0.0162800269384604 |
| 51 | 8.99 | 8.96280996311352 | 0.0271900368864806 |
| 52 | 8.93 | 8.99823629947052 | -0.0682362994705201 |
| 53 | 8.98 | 8.94727323447115 | 0.0327267655288459 |
| 54 | 8.95 | 8.98307971844581 | -0.0330797184458138 |
| 55 | 9.02 | 8.96095197530305 | 0.0590480246969456 |
| 56 | 8.92 | 9.0214258667048 | -0.101425866704801 |
| 57 | 9.1 | 8.93818660266043 | 0.161813397339573 |
| 58 | 9.06 | 9.09015682582934 | -0.030156825829339 |
| 59 | 8.97 | 9.08090809239725 | -0.110908092397246 |
| 60 | 8.89 | 8.99231551253624 | -0.102315512536236 |
| Extrapolation Forecasts of Exponential Smoothing | |||
| t | Forecast | 95% Lower Bound | 95% Upper Bound |
| 61 | 8.89877238233956 | 8.72607333724905 | 9.07147142743007 |
| 62 | 8.88926868394436 | 8.65239800063256 | 9.12613936725615 |
| 63 | 8.87976498554916 | 8.58081136563375 | 9.17871860546456 |
| 64 | 8.87026128715396 | 8.50909200212617 | 9.23143057218174 |
| 65 | 8.86075758875876 | 8.43632934876761 | 9.2851858287499 |
| 66 | 8.85125389036356 | 8.36208811503524 | 9.34041966569188 |
| 67 | 8.84175019196836 | 8.28614567387322 | 9.39735471006349 |
| 68 | 8.83224649357316 | 8.20838700718538 | 9.45610597996093 |
| 69 | 8.82274279517796 | 8.12875602011236 | 9.51672957024356 |
| 70 | 8.81323909678276 | 8.04723061792235 | 9.57924757564317 |
| 71 | 8.80373539838756 | 7.96380900313329 | 9.64366179364182 |
| 72 | 8.79423169999236 | 7.87850173063959 | 9.70996166934512 |
