| Estimated Parameters of Exponential Smoothing | |
| Parameter | Value |
| alpha | 1 |
| beta | 0.531517209785423 |
| gamma | FALSE |
| Interpolation Forecasts of Exponential Smoothing | |||
| t | Observed | Fitted | Residuals |
| 3 | 6.8 | 6.79 | 0.00999999999999979 |
| 4 | 6.85 | 6.79531517209785 | 0.0546848279021459 |
| 5 | 6.85 | 6.874381099242 | -0.0243810992419986 |
| 6 | 6.85 | 6.86142212540139 | -0.0114221254013902 |
| 7 | 6.85 | 6.85535106917822 | -0.00535106917822414 |
| 8 | 6.85 | 6.85250688381925 | -0.00250688381924569 |
| 9 | 6.85 | 6.85117443192638 | -0.00117443192638422 |
| 10 | 6.86 | 6.85055020114579 | 0.00944979885421127 |
| 11 | 6.86 | 6.86557293186581 | -0.00557293186581287 |
| 12 | 6.88 | 6.86261082267017 | 0.0173891773298278 |
| 13 | 6.88 | 6.89185346968499 | -0.0118534696849855 |
| 14 | 6.88 | 6.88555314655175 | -0.00555314655174577 |
| 15 | 6.91 | 6.88260155359103 | 0.0273984464089674 |
| 16 | 6.91 | 6.92716429937878 | -0.0171642993787824 |
| 17 | 6.91 | 6.91804117886505 | -0.00804117886505029 |
| 18 | 6.91 | 6.91376715391131 | -0.00376715391131288 |
| 19 | 6.99 | 6.91176484677554 | 0.0782351532244601 |
| 20 | 6.99 | 7.03334817712454 | -0.0433481771245399 |
| 21 | 6.99 | 7.01030787497002 | -0.0203078749700198 |
| 22 | 7.02 | 6.99951388992928 | 0.0204861100707152 |
| 23 | 7.02 | 7.04040260999343 | -0.020402609993428 |
| 24 | 7.05 | 7.02955827165738 | 0.020441728342619 |
| 25 | 7.05 | 7.07042340206924 | -0.0204234020692411 |
| 26 | 7.05 | 7.05956801238707 | -0.0095680123870725 |
| 27 | 7.05 | 7.0544824491399 | -0.00448244913990337 |
| 28 | 7.1 | 7.05209995028006 | 0.0479000497199431 |
| 29 | 7.1 | 7.12755965105578 | -0.0275596510557836 |
| 30 | 7.1 | 7.11291122222395 | -0.0129112222239538 |
| 31 | 7.1 | 7.10604868541256 | -0.00604868541255854 |
| 32 | 7.12 | 7.10283370501921 | 0.0171662949807949 |
| 33 | 7.13 | 7.13195788622975 | -0.00195788622975179 |
| 34 | 7.18 | 7.14091723600384 | 0.0390827639961637 |
| 35 | 7.24 | 7.21169039767378 | 0.028309602326221 |
| 36 | 7.24 | 7.28673743851235 | -0.0467374385123476 |
| 37 | 7.24 | 7.26189568560175 | -0.0218956856017467 |
| 38 | 7.27 | 7.25025775188437 | 0.019742248115632 |
| 39 | 7.27 | 7.29075109651768 | -0.0207510965176798 |
| 40 | 7.27 | 7.27972153159661 | -0.0097215315966146 |
| 41 | 7.27 | 7.27455437024754 | -0.0045543702475408 |
| 42 | 7.3 | 7.27213364408124 | 0.0278663559187615 |
| 43 | 7.3 | 7.31694509182607 | -0.0169450918260665 |
| 44 | 7.57 | 7.30793848389912 | 0.262061516100883 |
| 45 | 7.76 | 7.7172286897292 | 0.0427713102708029 |
| 46 | 7.94 | 7.9299623772232 | 0.0100376227768004 |
| 47 | 7.94 | 8.1152975464744 | -0.175297546474403 |
| 48 | 7.96 | 8.0221238836901 | -0.0621238836900995 |
| 49 | 7.96 | 8.0091039703701 | -0.0491039703701022 |
| 50 | 7.98 | 7.9830043650496 | -0.00300436504959922 |
| 51 | 7.99 | 8.00140749332126 | -0.0114074933212596 |
| 52 | 8 | 8.0053442143005 | -0.00534421430049825 |
| 53 | 8 | 8.012503672427 | -0.0125036724270018 |
| 54 | 8.04 | 8.00585775534653 | 0.0341422446534683 |
| 55 | 8.04 | 8.06400494596055 | -0.024004945960554 |
| 56 | 8.04 | 8.05124590406255 | -0.0112459040625499 |
| 57 | 8.04 | 8.04526851251371 | -0.00526851251370886 |
| 58 | 8.04 | 8.0424682074427 | -0.00246820744270337 |
| 59 | 8.07 | 8.04115631270959 | 0.028843687290415 |
| 60 | 8.07 | 8.08648722889811 | -0.0164872288981108 |
| Extrapolation Forecasts of Exponential Smoothing | |||
| t | Forecast | 95% Lower Bound | 95% Upper Bound |
| 61 | 8.07772398299709 | 7.98155514372684 | 8.17389282226735 |
| 62 | 8.08544796599419 | 7.90954716793869 | 8.26134876404968 |
| 63 | 8.09317194899128 | 7.82802387308468 | 8.35832002489788 |
| 64 | 8.10089593198837 | 7.73680631846599 | 8.46498554551076 |
| 65 | 8.10861991498547 | 7.63645480494731 | 8.58078502502363 |
| 66 | 8.11634389798256 | 7.52756125356152 | 8.7051265424036 |
| 67 | 8.12406788097965 | 7.41065205048233 | 8.83748371147697 |
| 68 | 8.13179186397675 | 7.28618149716313 | 8.97740223079036 |
| 69 | 8.13951584697384 | 7.15454132701206 | 9.12449036693562 |
| 70 | 8.14723982997093 | 7.01607164991765 | 9.27840801002421 |
| 71 | 8.15496381296803 | 6.8710703598096 | 9.43885726612645 |
| 72 | 8.16268779596512 | 6.71980068524057 | 9.60557490668967 |
