| Estimated Parameters of Exponential Smoothing | |
| Parameter | Value |
| alpha | 0.803482116329661 |
| beta | FALSE |
| gamma | FALSE |
| Interpolation Forecasts of Exponential Smoothing | |||
| t | Observed | Fitted | Residuals |
| 2 | 3 | 2.7 | 0.3 |
| 3 | -0.3 | 2.9410446348989 | -3.2410446348989 |
| 4 | 1.1 | 0.336923232531438 | 0.763076767468562 |
| 5 | 1.7 | 0.950041768579075 | 0.749958231420925 |
| 6 | 1.6 | 1.55261979552001 | 0.0473802044799907 |
| 7 | 3 | 1.59068894248772 | 1.40931105751228 |
| 8 | 3.3 | 2.72304517354448 | 0.57695482645552 |
| 9 | 6.7 | 3.18661805853157 | 3.51338194146843 |
| 10 | 5.6 | 6.00955761633704 | -0.409557616337039 |
| 11 | 6 | 5.68048539600362 | 0.319514603996377 |
| 12 | 4.8 | 5.93720966622087 | -1.13720966622087 |
| 13 | 5.9 | 5.02348203689518 | 0.876517963104823 |
| 14 | 4.3 | 5.7277485448916 | -1.4277485448916 |
| 15 | 3.7 | 4.5805781224555 | -0.880578122455503 |
| 16 | 5.6 | 3.87304934903136 | 1.72695065096864 |
| 17 | 1.7 | 5.26062331286853 | -3.56062331286853 |
| 18 | 3.2 | 2.39972615799219 | 0.800273842007806 |
| 19 | 3.6 | 3.0427318782119 | 0.557268121788105 |
| 20 | 1.7 | 3.49048684806926 | -1.79048684806926 |
| 21 | 0.5 | 2.05186268612215 | -1.55186268612215 |
| 22 | 2.1 | 0.804968770823692 | 1.29503122917631 |
| 23 | 1.5 | 1.84550320355527 | -0.345503203555274 |
| 24 | 2.7 | 1.567897558364 | 1.132102441636 |
| 25 | 1.4 | 2.47752162407167 | -1.07752162407167 |
| 26 | 1.2 | 1.61175226917159 | -0.411752269171591 |
| 27 | 2.3 | 1.28091668453406 | 1.01908331546594 |
| 28 | 1.6 | 2.09973190356088 | -0.499731903560881 |
| 29 | 4.7 | 1.69820625609033 | 3.00179374390967 |
| 30 | 3.5 | 4.11009384623201 | -0.610093846232009 |
| 31 | 4.4 | 3.61989435150181 | 0.780105648498189 |
| 32 | 3.9 | 4.24669528891786 | -0.346695288917859 |
| 33 | 3.5 | 3.96813182445661 | -0.468131824456614 |
| 34 | 3 | 3.59199627542095 | -0.591996275420948 |
| 35 | 1.6 | 3.11633785518645 | -1.51633785518645 |
| 36 | 2.2 | 1.89798750623046 | 0.302012493769539 |
| 37 | 4.1 | 2.14064914388241 | 1.95935085611759 |
| 38 | 4.3 | 3.7149525163881 | 0.585047483611896 |
| 39 | 3.5 | 4.18502770667393 | -0.685027706673933 |
| 40 | 1.8 | 3.63462019517111 | -1.83462019517111 |
| 41 | 0.6 | 2.16053567809389 | -1.56053567809389 |
| 42 | -0.4 | 0.906673168851069 | -1.30667316885107 |
| 43 | -2.5 | -0.143215354208573 | -2.35678464579143 |
| 44 | -1.6 | -2.03684966914232 | 0.436849669142319 |
| 45 | -1.9 | -1.68584877246194 | -0.214151227538063 |
| 46 | -1.6 | -1.85791545397881 | 0.257915453978814 |
| 47 | -0.7 | -1.65068499918179 | 0.950684999181791 |
| 48 | -1.1 | -0.886826604076344 | -0.213173395923657 |
| 49 | 0.3 | -1.05810761537826 | 1.35810761537826 |
| 50 | 1.3 | 0.0331075656292929 | 1.26689243437071 |
| 51 | 3.3 | 1.0510329799595 | 2.24896702004049 |
| 52 | 2.4 | 2.85803776077725 | -0.458037760777253 |
| 53 | 2 | 2.49001261138905 | -0.490012611389047 |
| 54 | 3.9 | 2.09629624136195 | 1.80370375863805 |
| 55 | 4.2 | 3.54553995458421 | 0.654460045415786 |
| 56 | 4.9 | 4.0713868969281 | 0.828613103071905 |
| 57 | 5.8 | 4.7371627066028 | 1.0628372933972 |
| 58 | 4.8 | 5.59113346441567 | -0.791133464415671 |
| 59 | 4.4 | 4.95547187412775 | -0.55547187412775 |
| 60 | 5.3 | 4.50916015714198 | 0.790839842858017 |
| 61 | 2.1 | 5.14458582775936 | -3.04458582775936 |
| 62 | 2 | 2.69831556352398 | -0.698315563523976 |
| 63 | -0.9 | 2.13723149667779 | -3.03723149667779 |
| 64 | 0.1 | -0.303129694055984 | 0.403129694055984 |
| 65 | -0.5 | 0.0207778056794468 | -0.520777805679447 |
| 66 | -0.1 | -0.397657847765392 | 0.297657847765392 |
| 67 | 0.7 | -0.158495090300723 | 0.858495090300723 |
| 68 | -0.4 | 0.531290361712725 | -0.931290361712725 |
| 69 | -1.5 | -0.216984789033631 | -1.28301521096637 |
| 70 | -0.3 | -1.24786456602404 | 0.947864566024036 |
| 71 | 1 | -0.486272338521148 | 1.48627233852115 |
| 72 | 0.4 | 0.707920905476058 | -0.307920905476058 |
| 73 | 0.3 | 0.46051196468201 | -0.16051196468201 |
| 74 | 1.8 | 0.331543471603077 | 1.46845652839692 |
| 75 | 3 | 1.51142203077754 | 1.48857796922246 |
| 76 | 2.2 | 2.70746780781011 | -0.507467807810112 |
| 77 | 3.4 | 2.29972649962167 | 1.10027350037833 |
| 78 | 3.4 | 3.18377658024709 | 0.216223419752905 |
| 79 | 3.1 | 3.3575082311502 | -0.257508231150195 |
| 80 | 4.5 | 3.15060497261333 | 1.34939502738667 |
| 81 | 4.6 | 4.23481974498269 | 0.365180255017307 |
| 82 | 5.7 | 4.5282355491258 | 1.1717644508742 |
| 83 | 4.3 | 5.46972732995407 | -1.16972732995407 |
| 84 | 4.5 | 4.52987233935393 | -0.0298723393539291 |
| Extrapolation Forecasts of Exponential Smoothing | |||
| t | Forecast | 95% Lower Bound | 95% Upper Bound |
| 85 | 4.50587044891012 | 1.90769876391405 | 7.10404213390618 |
| 86 | 4.50587044891012 | 1.1729280427538 | 7.83881285506644 |
| 87 | 4.50587044891012 | 0.573121529795795 | 8.43861936802444 |
| 88 | 4.50587044891012 | 0.053396637776058 | 8.95834426004417 |
| 89 | 4.50587044891012 | -0.411703344829479 | 9.42344424264971 |
| 90 | 4.50587044891012 | -0.836464339823572 | 9.8482052376438 |
| 91 | 4.50587044891012 | -1.22985530926156 | 10.2415962070818 |
| 92 | 4.50587044891012 | -1.59794466550757 | 10.6096855633278 |
| 93 | 4.50587044891012 | -1.94506498163277 | 10.956805879453 |
| 94 | 4.50587044891012 | -2.27443757558799 | 11.2861784734082 |
| 95 | 4.50587044891012 | -2.58853480347808 | 11.6002757012983 |
| 96 | 4.50587044891012 | -2.88930330585406 | 11.9010442036743 |
