| Estimated Parameters of Exponential Smoothing | |
| Parameter | Value |
| alpha | 0.723508762606638 |
| beta | 0.0203107142670814 |
| gamma | 1 |
| Interpolation Forecasts of Exponential Smoothing | |||
| t | Observed | Fitted | Residuals |
| 13 | 104.7 | 103.722943376068 | 0.97705662393156 |
| 14 | 104.7 | 104.428548810435 | 0.271451189565269 |
| 15 | 104.7 | 104.627631499827 | 0.0723685001728711 |
| 16 | 104.7 | 104.683739572605 | 0.0162604273948261 |
| 17 | 106 | 105.999491909727 | 0.000508090273399375 |
| 18 | 107 | 107.003854759285 | -0.00385475928538881 |
| 19 | 107 | 106.817504403349 | 0.182495596651194 |
| 20 | 107 | 106.997828598611 | 0.00217140138936145 |
| 21 | 107 | 107.04771856719 | -0.0477185671899747 |
| 22 | 107 | 107.060811482958 | -0.0608114829575896 |
| 23 | 107 | 107.063537935929 | -0.0635379359288066 |
| 24 | 107 | 107.042524754270 | -0.0425247542695502 |
| 25 | 107 | 107.285404154889 | -0.28540415488915 |
| 26 | 107 | 106.883122858014 | 0.116877141985654 |
| 27 | 107 | 106.913662212221 | 0.0863377877786746 |
| 28 | 107 | 106.962906036762 | 0.0370939632384619 |
| 29 | 107.6 | 108.288224625069 | -0.688224625068827 |
| 30 | 109.9 | 108.781804505637 | 1.11819549436304 |
| 31 | 109.9 | 109.464007561881 | 0.435992438119499 |
| 32 | 109.9 | 109.786821995388 | 0.113178004611939 |
| 33 | 109.9 | 109.913804426776 | -0.0138044267764599 |
| 34 | 109.9 | 109.958885163251 | -0.0588851632507073 |
| 35 | 109.9 | 109.973350511706 | -0.0733505117056694 |
| 36 | 109.9 | 109.962002637136 | -0.0620026371362883 |
| 37 | 109.9 | 110.134304196766 | -0.234304196765507 |
| 38 | 109.9 | 109.891640937720 | 0.00835906227978 |
| 39 | 109.9 | 109.845047492347 | 0.0549525076534962 |
| 40 | 109.9 | 109.867331945484 | 0.0326680545159803 |
| 41 | 110.6 | 110.998202717189 | -0.398202717189406 |
| 42 | 114.3 | 112.214635790719 | 2.08536420928051 |
| 43 | 114.3 | 113.435743711817 | 0.864256288182531 |
| 44 | 114.3 | 114.013221751854 | 0.286778248145623 |
| 45 | 114.3 | 114.267313323581 | 0.0326866764189475 |
| 46 | 114.3 | 114.370866910343 | -0.0708669103427582 |
| 47 | 114.3 | 114.409788304513 | -0.109788304513486 |
| 48 | 114.3 | 114.411803989634 | -0.111803989633586 |
| 49 | 114.3 | 114.536291167243 | -0.236291167242825 |
| 50 | 114.3 | 114.395112588247 | -0.0951125882467636 |
| 51 | 114.3 | 114.320846668430 | -0.0208466684299111 |
| 52 | 114.3 | 114.315321922121 | -0.0153219221210890 |
| 53 | 114.3 | 115.324827945323 | -1.02482794532304 |
| 54 | 119.01 | 116.797856835977 | 2.21214316402320 |
| 55 | 119.01 | 117.798207983722 | 1.21179201627787 |
| 56 | 119.01 | 118.497713763055 | 0.512286236944519 |
| 57 | 119.01 | 118.878272295524 | 0.131727704475907 |
| 58 | 119.01 | 119.059870728390 | -0.0498707283898057 |
| 59 | 119.01 | 119.138549612006 | -0.1285496120055 |
| 60 | 119.01 | 119.161486302707 | -0.151486302706573 |
| 61 | 119.01 | 119.257312529746 | -0.247312529745741 |
| 62 | 119.01 | 119.181501744140 | -0.171501744139761 |
| 63 | 119.01 | 119.105686145371 | -0.0956861453705216 |
| 64 | 119.01 | 119.079626829690 | -0.0696268296895681 |
| 65 | 121.27 | 119.802010101425 | 1.46798989857476 |
| 66 | 123.54 | 124.041527495403 | -0.50152749540328 |
| 67 | 123.54 | 122.829967282429 | 0.710032717570996 |
| 68 | 123.54 | 122.993706718076 | 0.546293281923582 |
| 69 | 123.54 | 123.314816403012 | 0.225183596988316 |
| 70 | 123.54 | 123.53636180704 | 0.00363819295989742 |
| 71 | 123.54 | 123.655328344182 | -0.115328344182302 |
| 72 | 123.54 | 123.705010732215 | -0.165010732215478 |
| 73 | 123.54 | 123.787879850892 | -0.247879850892076 |
| 74 | 123.54 | 123.755934331598 | -0.215934331597879 |
| 75 | 123.54 | 123.691595489414 | -0.151595489414461 |
| 76 | 123.54 | 123.654130633406 | -0.114130633405594 |
| 77 | 123.54 | 124.790638770085 | -1.25063877008486 |
| 78 | 125.24 | 126.499886210527 | -1.25988621052662 |
| 79 | 125.24 | 125.044724550305 | 0.195275449695103 |
| 80 | 125.24 | 124.753287671112 | 0.486712328888103 |
| 81 | 125.24 | 124.904158057672 | 0.335841942327889 |
| 82 | 125.24 | 125.107788560812 | 0.132211439188438 |
| 83 | 125.24 | 125.252053323924 | -0.0120533239243201 |
| 84 | 125.24 | 125.329404534210 | -0.0894045342098764 |
| 85 | 125.24 | 125.411859031116 | -0.171859031116099 |
| 86 | 125.24 | 125.412661238266 | -0.172661238265917 |
| 87 | 125.24 | 125.366969222648 | -0.126969222647844 |
| 88 | 125.24 | 125.327591511590 | -0.0875915115898067 |
| 89 | 125.24 | 126.139367507052 | -0.899367507052418 |
| 90 | 128.35 | 128.075668984811 | 0.274331015188665 |
| 91 | 128.35 | 128.13087470695 | 0.219125293050041 |
| 92 | 128.35 | 127.935631942497 | 0.414368057502514 |
| 93 | 128.35 | 127.989741978053 | 0.360258021946734 |
| 94 | 128.35 | 128.152390175890 | 0.197609824109662 |
| 95 | 128.35 | 128.302698825560 | 0.0473011744404914 |
| 96 | 128.35 | 128.401094341689 | -0.051094341688696 |
| Extrapolation Forecasts of Exponential Smoothing | |||
| t | Forecast | 95% Lower Bound | 95% Upper Bound |
| 97 | 128.488519358228 | 127.426637182674 | 129.550401533783 |
| 98 | 128.616017447583 | 127.296142427470 | 129.935892467696 |
| 99 | 128.712994216657 | 127.169863016180 | 130.256125417134 |
| 100 | 128.783346676884 | 127.038172689875 | 130.528520663893 |
| 101 | 129.442313338590 | 127.509519482916 | 131.375107194264 |
| 102 | 132.375315022099 | 130.265357576236 | 134.485272467961 |
| 103 | 132.234227240608 | 129.955015920861 | 134.513438560354 |
| 104 | 131.948659566457 | 129.506359312734 | 134.390959820179 |
| 105 | 131.696151846962 | 129.095673759795 | 134.296629934129 |
| 106 | 131.556027539489 | 128.801348159190 | 134.310706919788 |
| 107 | 131.521748984784 | 128.616127856828 | 134.427370112740 |
| 108 | 131.557965358399 | 128.504098919694 | 134.611831797103 |
