| Estimated Parameters of Exponential Smoothing | |
| Parameter | Value |
| alpha | 1 |
| beta | 0.0388466063098428 |
| gamma | FALSE |
| Interpolation Forecasts of Exponential Smoothing | |||
| t | Observed | Fitted | Residuals |
| 3 | 2 | 2.1 | -0.1 |
| 4 | 1.8 | 2.09611533936902 | -0.296115339369016 |
| 5 | 1.6 | 1.88461226335824 | -0.284612263358242 |
| 6 | 1.4 | 1.67355604281261 | -0.273556042812611 |
| 7 | 0.2 | 1.46292931891379 | -1.26292931891379 |
| 8 | 0.3 | 0.213868800864789 | 0.0861311991352107 |
| 9 | 0.4 | 0.317214705648589 | 0.0827852943514106 |
| 10 | 0.7 | 0.420430633386503 | 0.279569366613497 |
| 11 | 1 | 0.73129095450763 | 0.26870904549237 |
| 12 | 1.1 | 1.04172938900977 | 0.0582706109902347 |
| 13 | 0.8 | 1.14399300449434 | -0.343993004494337 |
| 14 | 0.8 | 0.830630043675406 | -0.0306300436754057 |
| 15 | 1 | 0.829440170427494 | 0.170559829572506 |
| 16 | 1.1 | 1.03606584097917 | 0.0639341590208291 |
| 17 | 1 | 1.1385494660844 | -0.138549466084404 |
| 18 | 0.8 | 1.03316728952098 | -0.233167289520984 |
| 19 | 1.6 | 0.824109531620629 | 0.775890468379371 |
| 20 | 1.5 | 1.65425024318532 | -0.154250243185322 |
| 21 | 1.6 | 1.5482581447151 | 0.0517418552848956 |
| 22 | 1.6 | 1.6502681401971 | -0.0502681401970977 |
| 23 | 1.6 | 1.64831539354493 | -0.0483153935449332 |
| 24 | 1.9 | 1.64643850447319 | 0.253561495526812 |
| 25 | 2 | 1.95628850806525 | 0.043711491934747 |
| 26 | 1.9 | 2.05798655118366 | -0.157986551183658 |
| 27 | 2 | 1.95184930982758 | 0.0481506901724236 |
| 28 | 2.1 | 2.05371980073225 | 0.046280199267748 |
| 29 | 2.3 | 2.15551762941315 | 0.144482370586852 |
| 30 | 2.3 | 2.36113027918205 | -0.0611302791820476 |
| 31 | 2.6 | 2.35875557529305 | 0.241244424706949 |
| 32 | 2.6 | 2.66812710248409 | -0.068127102484087 |
| 33 | 2.7 | 2.66548059575486 | 0.0345194042451427 |
| 34 | 2.6 | 2.76682155746162 | -0.166821557461619 |
| 35 | 2.6 | 2.66034110609491 | -0.0603411060949126 |
| 36 | 2.4 | 2.65799705890214 | -0.257997058902143 |
| 37 | 2.5 | 2.44797474872587 | 0.0520252512741259 |
| 38 | 2.5 | 2.54999575318029 | -0.0499957531802906 |
| 39 | 2.5 | 2.54805358783933 | -0.0480535878393318 |
| 40 | 2.4 | 2.54618686903076 | -0.146186869030762 |
| 41 | 2.1 | 2.44050800528186 | -0.340508005281855 |
| 42 | 2.1 | 2.12728042485532 | -0.0272804248553213 |
| 43 | 2.3 | 2.126220672931 | 0.173779327068998 |
| 44 | 2.3 | 2.33297141003444 | -0.03297141003444 |
| 45 | 2.3 | 2.33169058264935 | -0.0316905826493517 |
| 46 | 2.9 | 2.33045951106144 | 0.569540488938557 |
| 47 | 2.8 | 2.95258422621275 | -0.152584226212754 |
| 48 | 2.9 | 2.84665684684798 | 0.0533431531520248 |
| 49 | 3 | 2.9487290473178 | 0.0512709526822022 |
| 50 | 3 | 3.05072074983177 | -0.0507207498317741 |
| 51 | 2.9 | 3.04875042083132 | -0.148750420831319 |
| 52 | 2.6 | 2.94297197179486 | -0.342971971794861 |
| 53 | 2.8 | 2.62964867463124 | 0.170351325368764 |
| 54 | 2.9 | 2.8362662455022 | 0.0637337544978038 |
| 55 | 3.1 | 2.93874208557182 | 0.16125791442818 |
| 56 | 2.8 | 3.14500640828796 | -0.345006408287959 |
| 57 | 2.4 | 2.83160408017082 | -0.431604080170823 |
| 58 | 1.6 | 2.41483772638671 | -0.814837726386705 |
| 59 | 1.5 | 1.58318404602335 | -0.0831840460233537 |
| 60 | 1.7 | 1.47995262813622 | 0.220047371863775 |
| 61 | 1.4 | 1.68850072176053 | -0.288500721760532 |
| 62 | 1.1 | 1.3772934478022 | -0.277293447802195 |
| 63 | 0.8 | 1.06652153840312 | -0.266521538403125 |
| 64 | 1.2 | 0.756168081127685 | 0.443831918872315 |
| 65 | 0.8 | 1.17340944494786 | -0.37340944494786 |
| 66 | 0.9 | 0.758903755247593 | 0.141096244752407 |
| 67 | 0.9 | 0.864384865519287 | 0.0356151344807129 |
| 68 | 1 | 0.865768392627132 | 0.134231607372868 |
| 69 | 0.9 | 0.970982835033083 | -0.0709828350330827 |
| 70 | 1.1 | 0.868225392785796 | 0.231774607214204 |
| 71 | 1 | 1.07722904970486 | -0.0772290497048647 |
| 72 | 0.7 | 0.974228963215297 | -0.274228963215297 |
| 73 | 0 | 0.663576098642515 | -0.663576098642515 |
| 74 | 0.2 | -0.0622015808180717 | 0.262201580818072 |
| 75 | 0.4 | 0.147984060765786 | 0.252015939234214 |
| 76 | 0.6 | 0.357774024741023 | 0.242225975258977 |
| 77 | 1.1 | 0.567183681839926 | 0.532816318160074 |
| 78 | 1 | 1.08788178758695 | -0.0878817875869506 |
| 79 | 1 | 0.984467878382755 | 0.0155321216172448 |
| 80 | 0.8 | 0.985071248596377 | -0.185071248596377 |
| 81 | 0.6 | 0.777881858662882 | -0.177881858662882 |
| 82 | 0.6 | 0.570971752129742 | 0.0290282478702577 |
| 83 | 0.7 | 0.572099401046623 | 0.127900598953377 |
| 84 | 0.7 | 0.677067905260958 | 0.0229320947390423 |
| Extrapolation Forecasts of Exponential Smoothing | |||
| t | Forecast | 95% Lower Bound | 95% Upper Bound |
| 85 | 0.677958739317145 | 0.120683361196903 | 1.23523411743739 |
| 86 | 0.655917478634291 | -0.147642365194797 | 1.45947732246338 |
| 87 | 0.633876217951436 | -0.369316196667032 | 1.6370686325699 |
| 88 | 0.611834957268581 | -0.568653473653383 | 1.79232338819055 |
| 89 | 0.589793696585726 | -0.7548696297059 | 1.93445702287735 |
| 90 | 0.567752435902871 | -0.932591488478648 | 2.06809636028439 |
| 91 | 0.545711175220017 | -1.10450927086789 | 2.19593162130792 |
| 92 | 0.523669914537162 | -1.27233778113929 | 2.31967761021362 |
| 93 | 0.501628653854307 | -1.43724152030314 | 2.44049882801176 |
| 94 | 0.479587393171452 | -1.6000487631532 | 2.5592235494961 |
| 95 | 0.457546132488598 | -1.76136979840573 | 2.67646206338293 |
| 96 | 0.435504871805743 | -1.9216669385149 | 2.79267668212638 |
