| Estimated Parameters of Exponential Smoothing | |
| Parameter | Value |
| alpha | 0.518370486514584 |
| beta | FALSE |
| gamma | FALSE |
| Interpolation Forecasts of Exponential Smoothing | |||
| t | Observed | Fitted | Residuals |
| 2 | 6 | 6 | 0 |
| 3 | 5 | 6 | -1 |
| 4 | 5 | 5.48162951348542 | -0.481629513485417 |
| 5 | 3 | 5.2319669882602 | -2.2319669882602 |
| 6 | 5 | 4.07498117467127 | 0.92501882532873 |
| 7 | 5 | 4.55448363319207 | 0.445516366807928 |
| 8 | 5 | 4.78542616900451 | 0.214573830995493 |
| 9 | 3 | 4.89665491017094 | -1.89665491017094 |
| 10 | 6 | 3.91348498163536 | 2.08651501836464 |
| 11 | 6 | 4.99507278682502 | 1.00492721317498 |
| 12 | 4 | 5.51599739523028 | -1.51599739523028 |
| 13 | 6 | 4.73014908790992 | 1.26985091209008 |
| 14 | 5 | 5.38840232301104 | -0.388402323011041 |
| 15 | 4 | 5.18706602186841 | -1.18706602186841 |
| 16 | 5 | 4.57172603058755 | 0.428273969412447 |
| 17 | 5 | 4.79373061647341 | 0.206269383526585 |
| 18 | 4 | 4.90065457716515 | -0.900654577165154 |
| 19 | 3 | 4.43378182581847 | -1.43378182581847 |
| 20 | 2 | 3.69055164321318 | -1.69055164321318 |
| 21 | 3 | 2.81421956544274 | 0.185780434557265 |
| 22 | 2 | 2.91052265968908 | -0.910522659689075 |
| 23 | -1 | 2.4385345856035 | -3.4385345856035 |
| 24 | 0 | 0.65609973956699 | -0.65609973956699 |
| 25 | -2 | 0.315996998365558 | -2.31599699836556 |
| 26 | 1 | -0.884547492443511 | 1.88454749244351 |
| 27 | -2 | 0.09234630807427 | -2.09234630807427 |
| 28 | -2 | -0.992264265599182 | -1.00773573440082 |
| 29 | -2 | -1.51464472851867 | -0.485355271481335 |
| 30 | -6 | -1.76623857672886 | -4.23376142327114 |
| 31 | -4 | -3.9608955454966 | -0.0391044545034025 |
| 32 | -2 | -3.98116614060241 | 1.98116614060241 |
| 33 | 0 | -2.95418808443212 | 2.95418808443212 |
| 34 | -5 | -1.42282416984946 | -3.57717583015054 |
| 35 | -4 | -3.2771265452728 | -0.722873454727197 |
| 36 | -5 | -3.65184280968822 | -1.34815719031178 |
| 37 | -1 | -4.35068770832827 | 3.35068770832827 |
| 38 | -2 | -2.61379009080371 | 0.61379009080371 |
| 39 | -4 | -2.29561942281596 | -1.70438057718404 |
| 40 | -1 | -3.17912001181686 | 2.17912001181686 |
| 41 | 1 | -2.04952851111769 | 3.04952851111769 |
| 42 | 1 | -0.468742933169519 | 1.46874293316952 |
| 43 | -2 | 0.292610055662421 | -2.29261005566242 |
| 44 | 1 | -0.895811334279535 | 1.89581133427953 |
| 45 | 1 | 0.0869213094108095 | 0.913078690589191 |
| 46 | 3 | 0.560234354477627 | 2.43976564552237 |
| 47 | 3 | 1.82493685912863 | 1.17506314087137 |
| 48 | 1 | 2.43405491114747 | -1.43405491114747 |
| 49 | 1 | 1.69068316916733 | -0.690683169167331 |
| 50 | 0 | 1.33265339873863 | -1.33265339873863 |
| 51 | 2 | 0.641845208079172 | 1.35815479192083 |
| 52 | 2 | 1.34587256832928 | 0.654127431670716 |
| 53 | -1 | 1.68495292332697 | -2.68495292332697 |
| 54 | 1 | 0.293152570193215 | 0.706847429806785 |
| 55 | 0 | 0.659561416273741 | -0.659561416273741 |
| 56 | 1 | 0.317664244033674 | 0.682335755966326 |
| 57 | 1 | 0.671366961820235 | 0.328633038179765 |
| 58 | 3 | 0.841720629706245 | 2.15827937029375 |
| 59 | 2 | 1.96050895691981 | 0.0394910430801922 |
| 60 | 0 | 1.98097994813426 | -1.98097994813426 |
| 61 | 0 | 0.954098408644267 | -0.954098408644267 |
| 62 | 3 | 0.459521952372548 | 2.54047804762745 |
| 63 | -2 | 1.77643079390081 | -3.77643079390081 |
| 64 | 0 | -0.181159474022208 | 0.181159474022208 |
| 65 | 1 | -0.0872517493365899 | 1.08725174933659 |
| 66 | -1 | 0.47634746893085 | -1.47634746893085 |
| 67 | -2 | -0.288947486803409 | -1.71105251319659 |
| 68 | -1 | -1.17590661052113 | 0.175906610521126 |
| 69 | -1 | -1.08472181524416 | 0.0847218152441587 |
| 70 | 1 | -1.04080452665765 | 2.04080452665765 |
| 71 | -2 | 0.0170883087070425 | -2.01708830870704 |
| 72 | -5 | -1.02851073922031 | -3.97148926077969 |
| 73 | -5 | -3.08721355951812 | -1.91278644048188 |
| 74 | -6 | -4.07874559726921 | -1.92125440273079 |
| 75 | -4 | -5.07466717673106 | 1.07466717673106 |
| 76 | -3 | -4.51759142948772 | 1.51759142948772 |
| 77 | -3 | -3.73091682185381 | 0.73091682185381 |
| 78 | -1 | -3.35203111330776 | 2.35203111330776 |
| 79 | -2 | -2.13280760080498 | 0.132807600804978 |
| 80 | -3 | -2.06396406016287 | -0.936035939837133 |
| 81 | -3 | -2.54917746569138 | -0.450822534308623 |
| 82 | -3 | -2.78287056213268 | -0.217129437867325 |
| 83 | -5 | -2.8954240544766 | -2.1045759455234 |
| 84 | -5 | -3.98637411126445 | -1.01362588873555 |
| Extrapolation Forecasts of Exponential Smoothing | |||
| t | Forecast | 95% Lower Bound | 95% Upper Bound |
| 85 | -4.51180785635208 | -7.88719241766412 | -1.13642329504003 |
| 86 | -4.51180785635208 | -8.31373764360163 | -0.709878069102526 |
| 87 | -4.51180785635208 | -8.69703416774876 | -0.326581544955387 |
| 88 | -4.51180785635208 | -9.04805833974018 | 0.0244426270360334 |
| 89 | -4.51180785635208 | -9.37380514331867 | 0.350189430614523 |
| 90 | -4.51180785635208 | -9.67905729767986 | 0.655441584975708 |
| 91 | -4.51180785635208 | -9.96725613851313 | 0.943640425808979 |
| 92 | -4.51180785635208 | -10.2409757828285 | 1.21736007012431 |
| 93 | -4.51180785635208 | -10.5022013576337 | 1.47858564492958 |
| 94 | -4.51180785635208 | -10.7525020060945 | 1.72888629339034 |
| 95 | -4.51180785635208 | -10.9931435706212 | 1.96952785791708 |
| 96 | -4.51180785635208 | -11.2251648267129 | 2.20154911400877 |
