| Estimated Parameters of Exponential Smoothing | |
| Parameter | Value |
| alpha | 0.800021697608403 |
| beta | 0 |
| gamma | 0.938182298582948 |
| Interpolation Forecasts of Exponential Smoothing | |||
| t | Observed | Fitted | Residuals |
| 13 | 5.6 | 5.52588995089906 | 0.074110049100943 |
| 14 | 5.6 | 5.5836960661993 | 0.0163039338007014 |
| 15 | 5.6 | 5.59522900432491 | 0.00477099567508521 |
| 16 | 5.6 | 5.59753321270797 | 0.00246678729202543 |
| 17 | 5.6 | 5.59799681111868 | 0.00200318888132411 |
| 18 | 5.6 | 5.60264896463026 | -0.00264896463025988 |
| 19 | 5.67 | 5.65124590981136 | 0.0187540901886427 |
| 20 | 5.67 | 5.66597157942531 | 0.00402842057468789 |
| 21 | 5.67 | 5.66890994253915 | 0.00109005746084989 |
| 22 | 5.67 | 5.66949681982731 | 0.000503180172692907 |
| 23 | 5.67 | 5.6696145865947 | 0.000385413405301627 |
| 24 | 5.67 | 5.78540913247381 | -0.115409132473809 |
| 25 | 5.67 | 5.70846222126103 | -0.0384622212610317 |
| 26 | 5.67 | 5.66499221198552 | 0.00500778801447943 |
| 27 | 5.67 | 5.66511130783521 | 0.00488869216478616 |
| 28 | 5.82 | 5.66688706778091 | 0.153112932219088 |
| 29 | 5.82 | 5.78727543430731 | 0.0327245656926864 |
| 30 | 5.95 | 5.8152043030481 | 0.134795696951902 |
| 31 | 5.95 | 5.98014370904363 | -0.0301437090436343 |
| 32 | 5.95 | 5.95215353141279 | -0.00215353141279451 |
| 33 | 5.95 | 5.94888916380895 | 0.00111083619105035 |
| 34 | 5.95 | 5.94870191697253 | 0.00129808302746781 |
| 35 | 5.95 | 5.94875895718062 | 0.00124104281937587 |
| 36 | 6.02 | 6.04710204611742 | -0.0271020461174167 |
| 37 | 6.02 | 6.05621048990421 | -0.0362104899042102 |
| 38 | 6.05 | 6.02155855303841 | 0.028441446961585 |
| 39 | 6.05 | 6.03925205883379 | 0.0107479411662101 |
| 40 | 6.05 | 6.07368537555861 | -0.0236853755586131 |
| 41 | 6.12 | 6.02846456461447 | 0.0915354353855315 |
| 42 | 6.12 | 6.12247130456343 | -0.0024713045634277 |
| 43 | 6.12 | 6.14699180601871 | -0.0269918060187146 |
| 44 | 6.12 | 6.12641899140255 | -0.00641899140254765 |
| 45 | 6.12 | 6.11994126287854 | 5.87371214564314e-05 |
| 46 | 6.12 | 6.11853484868824 | 0.00146515131176095 |
| 47 | 6.12 | 6.11830524031134 | 0.00169475968865918 |
| 48 | 6.12 | 6.21391319226207 | -0.09391319226207 |
| 49 | 6.17 | 6.16813412705065 | 0.00186587294935325 |
| 50 | 6.17 | 6.17587698996837 | -0.0058769899683675 |
| 51 | 6.17 | 6.16235272343768 | 0.00764727656232367 |
| 52 | 6.17 | 6.18794569341074 | -0.0179456934107405 |
| 53 | 6.17 | 6.16835408334248 | 0.00164591665751601 |
| 54 | 6.28 | 6.17272422982617 | 0.107275770173833 |
| 55 | 6.27 | 6.28061659094706 | -0.0106165909470644 |
| 56 | 6.28 | 6.27679027483096 | 0.00320972516904305 |
| 57 | 6.28 | 6.2788781994558 | 0.00112180054420463 |
| 58 | 6.27 | 6.27820520653592 | -0.00820520653592283 |
| 59 | 6.27 | 6.26991719974773 | 8.28002522705873e-05 |
| 60 | 6.28 | 6.34761656413826 | -0.0676165641382624 |
| 61 | 6.59 | 6.34179518934648 | 0.248204810653516 |
| 62 | 6.59 | 6.54463503626821 | 0.0453649637317906 |
| 63 | 6.59 | 6.57332283222538 | 0.0166771677746222 |
| 64 | 6.59 | 6.60140796860466 | -0.0114079686046589 |
| 65 | 6.59 | 6.5896932922136 | 0.00030670778639319 |
| 66 | 6.63 | 6.61315267193653 | 0.0168473280634744 |
| 67 | 6.63 | 6.62582945499342 | 0.00417054500658409 |
| 68 | 6.63 | 6.63607188217895 | -0.00607188217894716 |
| 69 | 6.63 | 6.62954255504114 | 0.000457444958857245 |
| 70 | 6.63 | 6.62565504698584 | 0.0043449530141606 |
| 71 | 6.63 | 6.62818735823105 | 0.00181264176895457 |
| 72 | 6.63 | 6.6974052631018 | -0.0674052631018025 |
| 73 | 6.63 | 6.75492951073505 | -0.124929510735055 |
| 74 | 6.63 | 6.62066105398888 | 0.00933894601112062 |
| 75 | 6.63 | 6.61498292594439 | 0.0150170740556073 |
| 76 | 6.63 | 6.63644494323795 | -0.00644494323795097 |
| 77 | 6.63 | 6.63081202185839 | -0.00081202185839313 |
| 78 | 6.63 | 6.65655126741056 | -0.0265512674105643 |
| 79 | 6.63 | 6.63211560629388 | -0.00211560629387808 |
| 80 | 6.63 | 6.63540589045668 | -0.00540589045668405 |
| 81 | 6.63 | 6.63063226754273 | -0.00063226754272705 |
| 82 | 6.63 | 6.626601560358 | 0.00339843964199371 |
| 83 | 6.79 | 6.62790285951553 | 0.162097140484475 |
| 84 | 6.79 | 6.81305631113353 | -0.0230563111335300 |
| 85 | 6.79 | 6.89705711743291 | -0.107057117432912 |
| 86 | 6.81 | 6.80165988098065 | 0.00834011901935128 |
| 87 | 6.8 | 6.7955533858772 | 0.00444661412279768 |
| 88 | 6.8 | 6.80432465670647 | -0.00432465670646565 |
| 89 | 6.85 | 6.80111241569742 | 0.0488875843025749 |
| 90 | 6.85 | 6.86202239722673 | -0.0120223972267288 |
| 91 | 6.85 | 6.85338976835674 | -0.00338976835674210 |
| 92 | 6.85 | 6.85474010811502 | -0.00474010811502357 |
| 93 | 6.85 | 6.85096214536677 | -0.000962145366766087 |
| 94 | 6.85 | 6.84688656604298 | 0.00311343395702046 |
| 95 | 6.86 | 6.87762543910154 | -0.0176254391015398 |
| 96 | 6.86 | 6.88432842658235 | -0.024328426582346 |
| 97 | 6.88 | 6.9520991608042 | -0.0720991608041954 |
| 98 | 6.88 | 6.9062923434223 | -0.0262923434223046 |
| 99 | 6.88 | 6.87144898690064 | 0.00855101309935957 |
| 100 | 6.91 | 6.88174328435744 | 0.0282567156425646 |
| 101 | 6.91 | 6.91447689719075 | -0.00447689719075051 |
| 102 | 6.91 | 6.92123518754496 | -0.011235187544961 |
| 103 | 6.91 | 6.9147531730619 | -0.00475317306189993 |
| 104 | 6.99 | 6.91467313862054 | 0.0753268613794598 |
| 105 | 6.99 | 6.97542760721591 | 0.0145723927840855 |
| 106 | 6.99 | 6.98422543358631 | 0.00577456641369167 |
| 107 | 7.02 | 7.01341712155786 | 0.00658287844214289 |
| 108 | 7.02 | 7.03835766823982 | -0.0183576682398172 |
| 109 | 7.05 | 7.10336775614203 | -0.0533677561420314 |
| 110 | 7.05 | 7.08130525442563 | -0.0313052544256349 |
| 111 | 7.05 | 7.04845503023365 | 0.00154496976635166 |
| 112 | 7.05 | 7.05666647299218 | -0.00666647299217793 |
| 113 | 7.1 | 7.05512388374282 | 0.0448761162571767 |
| 114 | 7.1 | 7.09997911473098 | 2.0885269019999e-05 |
| 115 | 7.1 | 7.10344992850955 | -0.00344992850954551 |
| 116 | 7.1 | 7.11945656199515 | -0.0194565619951472 |
| 117 | 7.12 | 7.09257914899669 | 0.0274208510033080 |
| 118 | 7.13 | 7.10968511823511 | 0.0203148817648904 |
| 119 | 7.18 | 7.15087995737546 | 0.0291200426245446 |
| Extrapolation Forecasts of Exponential Smoothing | |||
| t | Forecast | 95% Lower Bound | 95% Upper Bound |
| 120 | 7.18919858120288 | 7.09505600011893 | 7.28334116228684 |
| 121 | 7.26369897882036 | 7.14213715935736 | 7.38526079828335 |
| 122 | 7.28878837141537 | 7.14515708534149 | 7.43241965748926 |
| 123 | 7.28663309257369 | 7.12424543629639 | 7.44902074885099 |
| 124 | 7.29179564697852 | 7.11254244382039 | 7.47104885013665 |
| 125 | 7.30521059402036 | 7.11041247391562 | 7.5000087141251 |
| 126 | 7.30537293316067 | 7.09648427113101 | 7.51426159519033 |
| 127 | 7.30786698923388 | 7.0857679274736 | 7.52996605099415 |
| 128 | 7.32368925656306 | 7.08879966057436 | 7.55857885255175 |
| 129 | 7.32065375460443 | 7.0741701124099 | 7.56713739679895 |
| 130 | 7.31392774424587 | 7.0565319494421 | 7.57132353904964 |
| 131 | 7.34084400377227 | 0.369393019297254 | 14.3122949882473 |
