| Estimated Parameters of Exponential Smoothing | |
| Parameter | Value |
| alpha | 1 |
| beta | 0 |
| gamma | 0 |
| Interpolation Forecasts of Exponential Smoothing | |||
| t | Observed | Fitted | Residuals |
| 13 | 6.2 | 5.83222509765895 | 0.367774902341054 |
| 14 | 6.2 | 6.19877253344505 | 0.00122746655494854 |
| 15 | 6.3 | 6.30285764898377 | -0.0028576489837695 |
| 16 | 6.4 | 6.40700240339455 | -0.00700240339454616 |
| 17 | 6.5 | 6.50289753406811 | -0.00289753406810789 |
| 18 | 6.6 | 6.58624201176324 | 0.0137579882367573 |
| 19 | 6.6 | 6.52989357772847 | 0.070106422271528 |
| 20 | 6.6 | 6.69937666821261 | -0.0993766682126065 |
| 21 | 6.8 | 6.81497786457103 | -0.0149778645710335 |
| 22 | 7 | 7.13045746695204 | -0.130457466952037 |
| 23 | 7.2 | 6.99734126441402 | 0.202658735585979 |
| 24 | 7.3 | 7.07832022877243 | 0.221679771227565 |
| 25 | 7.5 | 7.16835352833736 | 0.331646471662637 |
| 26 | 7.6 | 7.48598564819915 | 0.114014351800849 |
| 27 | 7.6 | 7.71249733960818 | -0.11249733960818 |
| 28 | 7.7 | 7.71657530472002 | -0.0165753047200248 |
| 29 | 7.7 | 7.81140647404256 | -0.111406474042564 |
| 30 | 7.7 | 7.79085739637863 | -0.0908573963786266 |
| 31 | 7.7 | 7.6082034368834 | 0.0917965631165982 |
| 32 | 7.6 | 7.80587460308918 | -0.20587460308918 |
| 33 | 7.7 | 7.83818804107117 | -0.138188041071166 |
| 34 | 7.9 | 8.06569609505028 | -0.165696095050285 |
| 35 | 7.9 | 7.88882199463714 | 0.0111780053628561 |
| 36 | 7.9 | 7.76046443057966 | 0.139535569420337 |
| 37 | 7.8 | 7.75257301745751 | 0.0474269825424853 |
| 38 | 7.6 | 7.78303482852702 | -0.183034828527020 |
| 39 | 7.4 | 7.71249733960818 | -0.312497339608179 |
| 40 | 7 | 7.51510255066995 | -0.515102550669953 |
| 41 | 7 | 7.10682473713324 | -0.106824737133241 |
| 42 | 7.2 | 7.08816508868632 | 0.111834911313681 |
| 43 | 7.5 | 7.11806259181298 | 0.381937408187021 |
| 44 | 7.8 | 7.60469316038435 | 0.195306839615652 |
| 45 | 7.8 | 8.0428300763712 | -0.242830076371194 |
| 46 | 7.7 | 8.16961149817231 | -0.469611498172314 |
| 47 | 7.6 | 7.69071516569867 | -0.0907151656986738 |
| 48 | 7.6 | 7.46811691551942 | 0.131883084480577 |
| 49 | 7.5 | 7.46046327289744 | 0.0395367271025613 |
| 50 | 7.5 | 7.48598564819915 | 0.0140143518008493 |
| 51 | 7.6 | 7.61180879027787 | -0.0118087902778656 |
| 52 | 7.6 | 7.71657530472002 | -0.116575304720025 |
| 53 | 7.9 | 7.71075194019837 | 0.189248059801626 |
| 54 | 7.6 | 7.99162662714786 | -0.391626627147859 |
| 55 | 7.5 | 7.51017526786932 | -0.0101752678693172 |
| 56 | 7.5 | 7.60469316038435 | -0.104693160384348 |
| 57 | 7.6 | 7.73586702342115 | -0.135867023421153 |
| 58 | 7.7 | 7.96178069192826 | -0.261780691928258 |
| 59 | 7.8 | 7.69071516569867 | 0.109284834301326 |
| 60 | 7.9 | 7.66301525889292 | 0.236984741107084 |
| 61 | 7.9 | 7.75257301745751 | 0.147426982542486 |
| Extrapolation Forecasts of Exponential Smoothing | |||
| t | Forecast | 95% Lower Bound | 95% Upper Bound |
| 62 | 7.88205122196964 | 7.50042279105029 | 8.263679652889 |
| 63 | 7.99649062337784 | 7.4549252686521 | 8.53805597810358 |
| 64 | 8.11598559395485 | 7.45020133340086 | 8.78176985450883 |
| 65 | 8.2301148344968 | 7.45892703749379 | 9.0013026314998 |
| 66 | 8.32301113408503 | 7.45990365165187 | 9.18611861651818 |
| 67 | 8.21892984438083 | 7.29075639925975 | 9.14710328950192 |
| 68 | 8.32786987686483 | 7.31922996835364 | 9.33650978537602 |
| 69 | 8.58295190624716 | 7.48260253487556 | 9.68330127761876 |
| 70 | 8.98321912780065 | 7.7777822331166 | 10.1886560224847 |
| 71 | 8.96178752690756 | 7.70825678877739 | 10.2153182650377 |
| 72 | 8.79516758062428 | 7.51538726279329 | 10.0749478984553 |
| 73 | 8.62419692850625 | 2.36220320794121 | 14.8861906490713 |
