| Estimated Parameters of Exponential Smoothing | |
| Parameter | Value |
| alpha | 0.846107257208812 |
| beta | 0.0470191847945091 |
| gamma | 0.383076569353457 |
| Interpolation Forecasts of Exponential Smoothing | |||
| t | Observed | Fitted | Residuals |
| 13 | 103.6 | 102.869284019506 | 0.730715980494367 |
| 14 | 103.7 | 103.620358668199 | 0.0796413318009428 |
| 15 | 103.8 | 103.819530923376 | -0.0195309233760952 |
| 16 | 104 | 104.034039230561 | -0.0340392305605519 |
| 17 | 104 | 104.03487490211 | -0.0348749021100048 |
| 18 | 104.1 | 104.133615423051 | -0.0336154230506907 |
| 19 | 104.2 | 104.269707049563 | -0.0697070495629362 |
| 20 | 104.3 | 104.343029328404 | -0.0430293284039323 |
| 21 | 104.4 | 104.335813744886 | 0.0641862551144357 |
| 22 | 104.5 | 104.616246080153 | -0.116246080152990 |
| 23 | 104.7 | 104.633729749252 | 0.0662702507485022 |
| 24 | 104.7 | 104.808257117621 | -0.108257117620596 |
| 25 | 104.9 | 105.081542298681 | -0.181542298680569 |
| 26 | 105 | 105.004477949696 | -0.00447794969601034 |
| 27 | 105.2 | 105.105809878778 | 0.0941901212221126 |
| 28 | 105.3 | 105.400754181454 | -0.100754181454008 |
| 29 | 105.4 | 105.324963794677 | 0.0750362053225473 |
| 30 | 105.5 | 105.502270990402 | -0.00227099040216672 |
| 31 | 105.7 | 105.649967803123 | 0.0500321968774102 |
| 32 | 105.8 | 105.817798259421 | -0.0177982594209283 |
| 33 | 105.9 | 105.829497006814 | 0.0705029931860253 |
| 34 | 106 | 106.098669181665 | -0.0986691816651302 |
| 35 | 106.1 | 106.135313429479 | -0.0353134294793875 |
| 36 | 106.2 | 106.202818306406 | -0.00281830640589931 |
| 37 | 106.6 | 106.558006518396 | 0.0419934816037824 |
| 38 | 106.8 | 106.682564441141 | 0.117435558859199 |
| 39 | 107 | 106.900122973572 | 0.099877026428345 |
| 40 | 107.1 | 107.197390404024 | -0.0973904040235993 |
| 41 | 107.3 | 107.140864687014 | 0.159135312986479 |
| 42 | 107.4 | 107.395636415119 | 0.00436358488083499 |
| 43 | 107.6 | 107.563939713598 | 0.0360602864022752 |
| 44 | 107.7 | 107.726706048313 | -0.0267060483128603 |
| 45 | 107.9 | 107.744867751482 | 0.155132248518456 |
| 46 | 108.2 | 108.090845601655 | 0.109154398344955 |
| 47 | 108.3 | 108.329145797695 | -0.0291457976945964 |
| 48 | 108.5 | 108.425621244396 | 0.074378755604215 |
| 49 | 108.92 | 108.879320476131 | 0.0406795238688886 |
| 50 | 109.23 | 109.031907870880 | 0.198092129119829 |
| 51 | 109.41 | 109.344968499889 | 0.0650315001114166 |
| 52 | 109.65 | 109.629846022794 | 0.0201539772058084 |
| 53 | 109.91 | 109.717627909634 | 0.19237209036622 |
| 54 | 110.01 | 110.023941713478 | -0.0139417134775499 |
| 55 | 110.2 | 110.211787012894 | -0.0117870128943025 |
| 56 | 110.49 | 110.360667396763 | 0.129332603237160 |
| 57 | 110.57 | 110.556058135053 | 0.0139418649465171 |
| 58 | 110.72 | 110.812667543877 | -0.092667543876857 |
| 59 | 110.94 | 110.894900823338 | 0.0450991766624469 |
| 60 | 111.09 | 111.085850380536 | 0.00414961946357550 |
| 61 | 111.28 | 111.507141263227 | -0.227141263227026 |
| 62 | 111.41 | 111.454498797205 | -0.0444987972049233 |
| 63 | 111.62 | 111.557024101364 | 0.062975898636239 |
| 64 | 111.76 | 111.841759096411 | -0.08175909641065 |
| 65 | 111.89 | 111.850743885063 | 0.0392561149365918 |
| 66 | 112.04 | 112.007441613573 | 0.0325583864265582 |
| 67 | 112.12 | 112.229960908603 | -0.109960908603099 |
| 68 | 112.3 | 112.294804361104 | 0.00519563889550057 |
| 69 | 112.47 | 112.362629746186 | 0.107370253813556 |
| 70 | 112.59 | 112.682630414063 | -0.0926304140631515 |
| 71 | 112.78 | 112.762523123765 | 0.0174768762346247 |
| 72 | 112.73 | 112.915768525520 | -0.185768525519819 |
| 73 | 112.99 | 113.147052434465 | -0.157052434464575 |
| 74 | 113.1 | 113.147926783101 | -0.0479267831010048 |
| 75 | 113.33 | 113.237175053830 | 0.092824946170424 |
| 76 | 113.38 | 113.524224418429 | -0.144224418428891 |
| 77 | 113.68 | 113.468619829236 | 0.211380170763562 |
| 78 | 113.65 | 113.759015207191 | -0.109015207191050 |
| 79 | 113.81 | 113.837127504860 | -0.0271275048595072 |
| 80 | 113.88 | 113.965671097104 | -0.0856710971041537 |
| 81 | 114.02 | 113.944508997233 | 0.075491002767464 |
| 82 | 114.25 | 114.208362893174 | 0.041637106826002 |
| 83 | 114.28 | 114.395636229815 | -0.115636229814953 |
| 84 | 114.38 | 114.405734508492 | -0.0257345084923486 |
| 85 | 114.73 | 114.765810354900 | -0.0358103548997093 |
| 86 | 114.97 | 114.868678191532 | 0.101321808467731 |
| 87 | 115.05 | 115.091395109796 | -0.0413951097961984 |
| 88 | 115.29 | 115.245273664701 | 0.0447263352987477 |
| 89 | 115.37 | 115.370738575217 | -0.0007385752172695 |
| 90 | 115.54 | 115.454643826653 | 0.0853561733471082 |
| 91 | 115.76 | 115.702984395919 | 0.0570156040805614 |
| 92 | 115.92 | 115.903123998771 | 0.0168760012288089 |
| 93 | 116.02 | 115.984657942668 | 0.0353420573318886 |
| 94 | 116.21 | 116.219760167804 | -0.00976016780424516 |
| 95 | 116.26 | 116.358445224737 | -0.0984452247368353 |
| 96 | 116.51 | 116.392813158478 | 0.117186841522269 |
| Extrapolation Forecasts of Exponential Smoothing | |||
| t | Forecast | 95% Lower Bound | 95% Upper Bound |
| 97 | 116.888266642542 | 116.675873826554 | 117.10065945853 |
| 98 | 117.041579647035 | 116.744386770874 | 117.338772523197 |
| 99 | 117.177890715279 | 116.809827050053 | 117.545954380504 |
| 100 | 117.382485556277 | 116.950166844580 | 117.814804267973 |
| 101 | 117.474233041144 | 116.981978573018 | 117.966487509271 |
| 102 | 117.570750089386 | 117.021068314577 | 118.120431864195 |
| 103 | 117.750192749921 | 117.144380703015 | 118.356004796827 |
| 104 | 117.901975676058 | 117.241257461976 | 118.56269389014 |
| 105 | 117.970499911358 | 117.256058984311 | 118.684940838404 |
| 106 | 118.174075675467 | 117.405600602066 | 118.942550748868 |
| 107 | 118.316191837995 | 117.494319792615 | 119.138063883375 |
| 108 | 118.450737262555 | 116.895360912129 | 120.00611361298 |
