| Estimated Parameters of Exponential Smoothing | |
| Parameter | Value |
| alpha | 1 |
| beta | 0 |
| gamma | 1 |
| Interpolation Forecasts of Exponential Smoothing | |||
| t | Observed | Fitted | Residuals |
| 13 | 6.6 | 6.60287968271151 | -0.00287968271150874 |
| 14 | 7.6 | 7.63453373333942 | -0.0345337333394165 |
| 15 | 8 | 8.02308015304527 | -0.0230801530452709 |
| 16 | 8.1 | 8.09173264343856 | 0.0082673565614435 |
| 17 | 7.7 | 7.65374855683443 | 0.0462514431655654 |
| 18 | 7.5 | 7.42652453687695 | 0.0734754631230476 |
| 19 | 7.6 | 8.13654148519345 | -0.536541485193451 |
| 20 | 7.8 | 7.71990832193341 | 0.0800916780665908 |
| 21 | 7.8 | 7.58505231302218 | 0.214947686977819 |
| 22 | 7.8 | 7.26887694179002 | 0.531123058209976 |
| 23 | 7.5 | 7.05725778766112 | 0.442742212338883 |
| 24 | 7.5 | 7.18983318049289 | 0.310166819507109 |
| 25 | 7.1 | 7.65028232418406 | -0.550282324184056 |
| 26 | 7.5 | 8.213173299187 | -0.713173299186991 |
| 27 | 7.5 | 7.91746455154151 | -0.417464551541512 |
| 28 | 7.6 | 7.58576499145864 | 0.0142350085413643 |
| 29 | 7.7 | 7.18107612474252 | 0.518923875257484 |
| 30 | 7.7 | 7.42652453687695 | 0.273475463123048 |
| 31 | 7.9 | 8.3536149252818 | -0.453614925281800 |
| 32 | 8.1 | 8.02479047681556 | 0.0752095231844354 |
| 33 | 8.2 | 7.87692627653793 | 0.323073723462064 |
| 34 | 8.2 | 7.64181536949755 | 0.558184630502446 |
| 35 | 8.2 | 7.41932730833437 | 0.78067269166563 |
| 36 | 7.9 | 7.86116156867636 | 0.0388384313236427 |
| 37 | 7.3 | 8.05845907272605 | -0.75845907272605 |
| 38 | 6.9 | 8.44462912552602 | -1.54462912552602 |
| 39 | 6.6 | 7.28377094251895 | -0.683770942518955 |
| 40 | 6.7 | 6.67502321789478 | 0.0249767821052238 |
| 41 | 6.9 | 6.33026574697706 | 0.569734253022936 |
| 42 | 7 | 6.65458219350604 | 0.345417806493963 |
| 43 | 7.1 | 7.59385788497258 | -0.493857884972579 |
| 44 | 7.2 | 7.21177139712982 | -0.0117713971298175 |
| 45 | 7.1 | 7.00130438599067 | 0.098695614009328 |
| 46 | 6.9 | 6.61623469330184 | 0.283765306698156 |
| 47 | 7 | 6.2426013661463 | 0.757398633853702 |
| 48 | 6.8 | 6.71031290321899 | 0.089687096781014 |
| 49 | 6.4 | 6.93597301423556 | -0.535973014235562 |
| 50 | 6.7 | 7.40307790700039 | -0.703077907000387 |
| 51 | 6.6 | 7.07253973951144 | -0.472539739511437 |
| 52 | 6.4 | 6.67502321789478 | -0.275023217894776 |
| 53 | 6.3 | 6.04666228772191 | 0.253337712278086 |
| 54 | 6.2 | 6.07562543597785 | 0.124374564022149 |
| 55 | 6.5 | 6.72556412461918 | -0.225564124619183 |
| 56 | 6.8 | 6.60200708736551 | 0.197992912634492 |
| 57 | 6.8 | 6.612139101303 | 0.187860898697001 |
| 58 | 6.4 | 6.3365308725212 | 0.0634691274788057 |
| 59 | 6.1 | 5.79001446530473 | 0.309985534695268 |
| 60 | 5.8 | 5.84717640412596 | -0.0471764041259561 |
| 61 | 6.1 | 5.91553114288058 | 0.184468857119423 |
| 62 | 7.2 | 7.05589416749184 | 0.144105832508158 |
| 63 | 7.3 | 7.60061774703023 | -0.300617747030233 |
| 64 | 6.9 | 7.38337793066667 | -0.483377930666666 |
| 65 | 6.1 | 6.51933471981383 | -0.419334719813833 |
| 66 | 5.8 | 5.88263985013512 | -0.0826398501351218 |
| 67 | 6.2 | 6.29141724444248 | -0.0914172444424848 |
| 68 | 7.1 | 6.29712493248335 | 0.802875067516647 |
| 69 | 7.7 | 6.90401306481875 | 0.795986935181247 |
| 70 | 7.9 | 7.17564233486314 | 0.724357665136859 |
| 71 | 7.7 | 7.14777516782943 | 0.552224832170569 |
| 72 | 7.4 | 7.38164129140245 | 0.0183587085975470 |
| 73 | 7.5 | 7.54823813704856 | -0.0482381370485570 |
| Extrapolation Forecasts of Exponential Smoothing | |||
| t | Forecast | 95% Lower Bound | 95% Upper Bound |
| 74 | 8.67608495186505 | 7.78736342894481 | 9.5648064747853 |
| 75 | 9.15959374764899 | 7.86698028629065 | 10.4522072090073 |
| 76 | 9.26516649493567 | 7.68377542517103 | 10.8465575647003 |
| 77 | 8.75523271874095 | 7.01605730324904 | 10.4944081342329 |
| 78 | 8.44474805901014 | 6.5457718943849 | 10.3437242236354 |
| 79 | 9.16194004112406 | 6.91741263587784 | 11.4064674463703 |
| 80 | 9.30726714038216 | 6.85919941098014 | 11.7553348697842 |
| 81 | 9.05149242749017 | 6.50932908998186 | 11.5936557649985 |
| 82 | 8.4357009872802 | 5.90438508574616 | 10.9670168888142 |
| 83 | 7.63267766705125 | 5.17507846799298 | 10.0902768661095 |
| 84 | 7.31707644387783 | 4.79815219424181 | 9.83600069351385 |
| 85 | 7.46361946825984 | -216.657454182507 | 231.584693119026 |
