| Estimated Parameters of Exponential Smoothing | |
| Parameter | Value |
| alpha | 0.752503278433036 |
| beta | 0.0380281280298083 |
| gamma | 1 |
| Interpolation Forecasts of Exponential Smoothing | |||
| t | Observed | Fitted | Residuals |
| 13 | 161.79 | 162.070066773504 | -0.280066773504331 |
| 14 | 161.79 | 161.872791520583 | -0.0827915205832994 |
| 15 | 161.85 | 161.882014022659 | -0.0320140226591263 |
| 16 | 161.77 | 161.727697302471 | 0.0423026975287542 |
| 17 | 161.86 | 161.740514704170 | 0.119485295829747 |
| 18 | 161.89 | 161.756498156793 | 0.133501843207085 |
| 19 | 161.89 | 162.237682768199 | -0.347682768198950 |
| 20 | 161.89 | 161.945991657381 | -0.0559916573813553 |
| 21 | 162.18 | 162.181363456848 | -0.00136345684839512 |
| 22 | 162.43 | 160.9619708059 | 1.46802919409987 |
| 23 | 162.58 | 162.305310492733 | 0.274689507267198 |
| 24 | 162.57 | 162.570185414485 | -0.000185414485059709 |
| 25 | 162.57 | 162.557645142323 | 0.0123548576772805 |
| 26 | 162.57 | 162.673035602884 | -0.103035602884120 |
| 27 | 162.44 | 162.722804819364 | -0.282804819364173 |
| 28 | 162.79 | 162.434196833075 | 0.355803166924517 |
| 29 | 163.15 | 162.747034512509 | 0.402965487491315 |
| 30 | 163.23 | 163.032926646595 | 0.197073353405301 |
| 31 | 163.23 | 163.497796453228 | -0.267796453228129 |
| 32 | 163.23 | 163.395637739183 | -0.165637739182699 |
| 33 | 163.38 | 163.616108228195 | -0.236108228195491 |
| 34 | 163.71 | 162.631109131358 | 1.07889086864171 |
| 35 | 163.73 | 163.422507497087 | 0.307492502913021 |
| 36 | 163.73 | 163.681209043474 | 0.0487909565259201 |
| 37 | 163.73 | 163.747201754240 | -0.0172017542402898 |
| 38 | 163.73 | 163.849520633067 | -0.119520633066571 |
| 39 | 163.93 | 163.879649404472 | 0.050350595528073 |
| 40 | 164.27 | 164.046585901296 | 0.223414098703728 |
| 41 | 164.57 | 164.314474966689 | 0.255525033311045 |
| 42 | 164.73 | 164.477242922606 | 0.252757077393738 |
| 43 | 164.73 | 164.909337497808 | -0.179337497807893 |
| 44 | 164.76 | 164.941936088549 | -0.181936088548639 |
| 45 | 165.75 | 165.175142106944 | 0.574857893055906 |
| 46 | 165.86 | 165.191503788618 | 0.668496211382006 |
| 47 | 165.99 | 165.537064438065 | 0.452935561935249 |
| 48 | 166.13 | 165.899250794797 | 0.230749205203182 |
| 49 | 166.13 | 166.149107891066 | -0.0191078910658575 |
| 50 | 166.13 | 166.287887448449 | -0.157887448448946 |
| 51 | 166.15 | 166.393308361539 | -0.243308361538595 |
| 52 | 166.45 | 166.43581547379 | 0.0141845262098172 |
| 53 | 166.48 | 166.601935870345 | -0.121935870344544 |
| 54 | 166.51 | 166.516906587067 | -0.00690658706668046 |
| 55 | 166.51 | 166.676159190015 | -0.166159190015321 |
| 56 | 166.51 | 166.747906249489 | -0.237906249488674 |
| 57 | 166.58 | 167.154571800821 | -0.574571800820991 |
| 58 | 166.82 | 166.324539864892 | 0.495460135108402 |
| 59 | 167.35 | 166.476968913472 | 0.873031086527845 |
| 60 | 167.5 | 167.102738878487 | 0.397261121513253 |
| 61 | 167.5 | 167.423273622585 | 0.0767263774152411 |
| 62 | 167.6 | 167.609779414124 | -0.00977941412364203 |
| 63 | 167.72 | 167.819707133685 | -0.0997071336846886 |
| 64 | 167.29 | 168.052309041777 | -0.762309041776575 |
| 65 | 166.98 | 167.596511520489 | -0.616511520489212 |
| 66 | 166.98 | 167.149714278442 | -0.169714278442115 |
| 67 | 166.98 | 167.124312579372 | -0.144312579372269 |
| 68 | 166.98 | 167.172640808570 | -0.192640808569678 |
| 69 | 167.63 | 167.509239146999 | 0.120760853001485 |
| 70 | 167.83 | 167.466368564985 | 0.363631435014867 |
| 71 | 167.85 | 167.608363064942 | 0.241636935058409 |
| 72 | 167.87 | 167.618506603400 | 0.251493396600239 |
| 73 | 167.87 | 167.723099275631 | 0.146900724369345 |
| 74 | 167.96 | 167.916089640378 | 0.0439103596216057 |
| 75 | 167.7 | 168.120786723988 | -0.420786723988186 |
| 76 | 169.25 | 167.915219729843 | 1.33478027015667 |
| 77 | 168.79 | 169.10102045958 | -0.311020459580106 |
| 78 | 168.77 | 169.030876376209 | -0.260876376208614 |
| 79 | 168.77 | 168.976742297021 | -0.206742297021179 |
| 80 | 169 | 168.997924933841 | 0.00207506615905118 |
| 81 | 168.92 | 169.595979589385 | -0.675979589385435 |
| 82 | 169.23 | 169.028235228113 | 0.201764771886957 |
| 83 | 169.28 | 169.028165613955 | 0.251834386045488 |
| 84 | 169.29 | 169.058648342201 | 0.231351657798712 |
| 85 | 169.29 | 169.131847697186 | 0.158152302814159 |
| 86 | 170.29 | 169.317786863128 | 0.97221313687183 |
| 87 | 170.59 | 170.142560136861 | 0.447439863138641 |
| 88 | 171.98 | 171.086215307758 | 0.893784692242264 |
| 89 | 172.31 | 171.581597212847 | 0.728402787153328 |
| 90 | 172.28 | 172.384539543148 | -0.104539543148036 |
| 91 | 172.28 | 172.544427747400 | -0.264427747399623 |
| 92 | 172.45 | 172.655213059747 | -0.20521305974691 |
| 93 | 172.27 | 173.004864152603 | -0.734864152603336 |
| 94 | 172.65 | 172.683760494379 | -0.0337604943787824 |
| 95 | 172.08 | 172.585822229125 | -0.505822229124533 |
| 96 | 172.2 | 172.086387958819 | 0.113612041180943 |
| 97 | 172.2 | 172.094793491164 | 0.105206508835892 |
| 98 | 172.2 | 172.482775274142 | -0.28277527414167 |
| 99 | 172.36 | 172.237779988784 | 0.122220011215518 |
| 100 | 172.53 | 173.04236245027 | -0.512362450269876 |
| 101 | 173.18 | 172.393631238984 | 0.786368761015837 |
| 102 | 173.17 | 172.990650127469 | 0.179349872531247 |
| 103 | 173.17 | 173.289325572315 | -0.119325572315148 |
| 104 | 173.17 | 173.492839805206 | -0.322839805206229 |
| 105 | 173.4 | 173.58840705326 | -0.188407053259908 |
| 106 | 174.47 | 173.833190161929 | 0.636809838071315 |
| 107 | 174.56 | 174.123368925541 | 0.436631074459001 |
| 108 | 174.59 | 174.513755712087 | 0.0762442879128287 |
| 109 | 174.59 | 174.518206124398 | 0.071793875602026 |
| 110 | 175.22 | 174.810309004881 | 0.409690995118751 |
| 111 | 175.3 | 175.231736111872 | 0.0682638881279729 |
| 112 | 175.25 | 175.88221956009 | -0.632219560089851 |
| 113 | 175.54 | 175.504857556805 | 0.0351424431949567 |
| 114 | 175.58 | 175.40497404162 | 0.175025958379905 |
| 115 | 175.58 | 175.644983847259 | -0.064983847259299 |
| 116 | 175.68 | 175.859085673376 | -0.179085673375710 |
| 117 | 176.05 | 176.120278124767 | -0.070278124767043 |
| 118 | 176.4 | 176.685750608855 | -0.285750608854613 |
| 119 | 176.58 | 176.233314259917 | 0.346685740083132 |
| 120 | 176.49 | 176.465406673471 | 0.0245933265290148 |
| Extrapolation Forecasts of Exponential Smoothing | |||
| t | Forecast | 95% Lower Bound | 95% Upper Bound |
| 121 | 176.426994380779 | 175.644288517035 | 177.209700244523 |
| 122 | 176.743752364600 | 175.750564381066 | 177.736940348134 |
| 123 | 176.755711529035 | 175.577532508447 | 177.933890549623 |
| 124 | 177.162833325453 | 175.814248094876 | 178.511418556030 |
| 125 | 177.425854805415 | 175.916167856869 | 178.935541753961 |
| 126 | 177.33260783522 | 175.668117873330 | 178.997097797111 |
| 127 | 177.374960436864 | 175.560076989025 | 179.189843884704 |
| 128 | 177.605034633421 | 175.642897195861 | 179.567172070981 |
| 129 | 178.028355560677 | 175.921207162871 | 180.135503958484 |
| 130 | 178.595831337892 | 176.345258428167 | 180.846404247617 |
| 131 | 178.525573811711 | 176.132667872911 | 180.918479750512 |
| 132 | 178.417771022660 | 175.883241686965 | 180.952300358355 |
