| Estimated Parameters of Exponential Smoothing | |
| Parameter | Value |
| alpha | 1 |
| beta | 0.916379251616883 |
| gamma | 0.00180441050470130 |
| Interpolation Forecasts of Exponential Smoothing | |||
| t | Observed | Fitted | Residuals |
| 13 | 8.7 | 8.68099051787152 | 0.0190094821284745 |
| 14 | 8.7 | 8.7154941714524 | -0.0154941714523904 |
| 15 | 8.5 | 8.49290955300777 | 0.00709044699222972 |
| 16 | 8.4 | 8.39529785596176 | 0.0047021440382391 |
| 17 | 8.5 | 8.5079238029641 | -0.00792380296410578 |
| 18 | 8.7 | 8.7262674174135 | -0.0262674174135054 |
| 19 | 8.7 | 8.59795356137622 | 0.102046438623784 |
| 20 | 8.6 | 8.73231590394013 | -0.132315903940132 |
| 21 | 8.5 | 8.29187468279727 | 0.208125317202725 |
| 22 | 8.3 | 8.54770867588768 | -0.247708675887676 |
| 23 | 8 | 8.00543315104749 | -0.00543315104748565 |
| 24 | 8.2 | 8.60627807175544 | -0.406278071755439 |
| 25 | 8.1 | 7.82075295426395 | 0.279247045736052 |
| 26 | 8.1 | 7.88579241130282 | 0.214207588697183 |
| 27 | 8 | 7.88854939448731 | 0.111450605512690 |
| 28 | 7.9 | 7.977636400544 | -0.0776364005440007 |
| 29 | 7.9 | 8.00250399280299 | -0.102503992802985 |
| 30 | 8 | 8.02218989935545 | -0.0221898993554515 |
| 31 | 8 | 7.82089820754594 | 0.179101792454064 |
| 32 | 7.9 | 8.0226269351786 | -0.122626935178609 |
| 33 | 8 | 7.60920432506505 | 0.390795674934951 |
| 34 | 7.7 | 8.21451830560136 | -0.514518305601364 |
| 35 | 7.2 | 7.3398493281955 | -0.139849328195498 |
| 36 | 7.5 | 7.51467812018654 | -0.0146781201865442 |
| 37 | 7.3 | 7.2514634582626 | 0.0485365417373931 |
| 38 | 7 | 7.01303738473855 | -0.0130373847385457 |
| 39 | 7 | 6.54118278383354 | 0.458817216166462 |
| 40 | 7 | 7.03475850042076 | -0.03475850042076 |
| 41 | 7.2 | 7.17621141072429 | 0.0237885892757124 |
| 42 | 7.3 | 7.5084592509359 | -0.208459250935899 |
| 43 | 7.1 | 7.16101698409946 | -0.0610169840994583 |
| 44 | 6.8 | 6.94161668171015 | -0.141616681710153 |
| 45 | 6.4 | 6.34662004678788 | 0.053379953212116 |
| 46 | 6.1 | 6.13380440161523 | -0.0338044016152281 |
| 47 | 6.5 | 5.72432220097245 | 0.775677799027552 |
| 48 | 7.7 | 7.60251798562167 | 0.0974820143783273 |
| 49 | 7.9 | 8.41426891467136 | -0.514268914671362 |
| 50 | 7.5 | 8.05704408252355 | -0.557044082523548 |
| 51 | 6.9 | 6.97615247416296 | -0.0761524741629582 |
| 52 | 6.6 | 6.40106699065521 | 0.198933009344787 |
| 53 | 6.9 | 6.44773968975057 | 0.452260310249427 |
| 54 | 7.7 | 7.27099811009575 | 0.429001889904248 |
| 55 | 8 | 8.20412774118276 | -0.204127741182761 |
| 56 | 8 | 8.34961669172671 | -0.349616691726709 |
| 57 | 7.7 | 7.82129410731772 | -0.121294107317724 |
| 58 | 7.3 | 7.5684626041225 | -0.268462604122502 |
| 59 | 7.4 | 6.82957093029714 | 0.570429069702856 |
| 60 | 8.1 | 8.30774672381223 | -0.207746723812228 |
| 61 | 8.3 | 8.26043686603904 | 0.0395631339609626 |
| Extrapolation Forecasts of Exponential Smoothing | |||
| t | Forecast | 95% Lower Bound | 95% Upper Bound |
| 62 | 8.40633507206294 | 7.87985281273271 | 8.93281733139316 |
| 63 | 8.30859843729656 | 7.19277501688213 | 9.42442185771099 |
| 64 | 8.30079764425668 | 6.4782385666954 | 10.1233567218179 |
| 65 | 8.49850130618337 | 5.81544076444694 | 11.1815618479198 |
| 66 | 8.82526110627407 | 5.11383304556625 | 12.5366891669819 |
| 67 | 8.84518589433897 | 4.13424361576123 | 13.5561281729167 |
| 68 | 8.9062678635162 | 3.10947880022750 | 14.7030569268049 |
| 69 | 8.73461287818849 | 1.96800380169636 | 15.5012219546806 |
| 70 | 8.73539125662888 | 0.842315961569622 | 16.6284665516881 |
| 71 | 8.60729026555166 | -0.319642553957442 | 17.5342230850608 |
| 72 | 9.4649336707083 | -1.65416294248618 | 20.5840302839028 |
| 73 | 9.67545508936314 | -3.94744934482535 | 23.2983595235516 |
