| Estimated Parameters of Exponential Smoothing | |
| Parameter | Value |
| alpha | 0.999919100758338 |
| beta | FALSE |
| gamma | FALSE |
| Interpolation Forecasts of Exponential Smoothing | |||
| t | Observed | Fitted | Residuals |
| 2 | 56 | 57 | -1 |
| 3 | 55 | 56.0000808992417 | -1.00008089924166 |
| 4 | 53 | 55.0000809057863 | -2.00008090578635 |
| 5 | 73 | 53.0001618050285 | 19.9998381949715 |
| 6 | 72 | 72.9983820282567 | -0.998382028256657 |
| 7 | 57 | 72.000080768349 | -15.000080768349 |
| 8 | 47 | 57.001213495159 | -10.001213495159 |
| 9 | 48 | 47.0008090905875 | 0.99919090941254 |
| 10 | 48 | 47.9999191662132 | 8.08337868463127e-05 |
| 11 | 49 | 47.9999999934606 | 1.00000000653939 |
| 12 | 51 | 48.9999191007578 | 2.00008089924219 |
| 13 | 45 | 50.999838194972 | -5.99983819497199 |
| 14 | 39 | 45.0004853823601 | -6.00048538236007 |
| 15 | 34 | 39.000485434717 | -5.00048543471704 |
| 16 | 34 | 34.0004045354796 | -0.000404535479610502 |
| 17 | 53 | 34.0000000327266 | 18.9999999672734 |
| 18 | 55 | 52.9984629144111 | 2.00153708558894 |
| 19 | 40 | 54.9998380771676 | -14.9998380771676 |
| 20 | 22 | 40.0012134755255 | -18.0012134755255 |
| 21 | 31 | 22.0014562845192 | 8.99854371548083 |
| 22 | 31 | 30.9992720246374 | 0.000727975362647015 |
| 23 | 39 | 30.9999999411073 | 8.00000005889266 |
| 24 | 43 | 38.9993528060619 | 4.00064719393806 |
| 25 | 42 | 42.9996763506759 | -0.999676350675855 |
| 26 | 31 | 42.0000808730587 | -11.0000808730587 |
| 27 | 37 | 31.0008898982009 | 5.99911010179915 |
| 28 | 35 | 36.9995146765421 | -1.99951467654212 |
| 29 | 52 | 35.000161759221 | 16.999838240779 |
| 30 | 48 | 51.9986247259779 | -3.99862472597794 |
| 31 | 31 | 48.000323485708 | -17.000323485708 |
| 32 | 19 | 31.001375313278 | -12.001375313278 |
| 33 | 30 | 19.0009709021617 | 10.9990290978383 |
| 34 | 34 | 29.999110186887 | 4.00088981311304 |
| 35 | 37 | 33.9996763310481 | 3.00032366895186 |
| 36 | 41 | 36.9997572760904 | 4.00024272390956 |
| 37 | 32 | 40.9996763833972 | -8.99967638339717 |
| 38 | 25 | 32.0007280669946 | -7.00072806699463 |
| 39 | 28 | 25.0005663535917 | 2.9994336464083 |
| 40 | 29 | 27.9997573480926 | 1.00024265190741 |
| 41 | 56 | 28.999919081128 | 27.000080918872 |
| 42 | 56 | 55.9978157139288 | 0.00218428607115584 |
| 43 | 41 | 55.9999998232929 | -14.9999998232929 |
| 44 | 39 | 41.0012134886106 | -2.00121348861064 |
| 45 | 45 | 39.0001618966536 | 5.99983810334637 |
| 46 | 42 | 44.9995146176473 | -2.99951461764734 |
| 47 | 50 | 42.0002426584579 | 7.99975734154208 |
| 48 | 60 | 49.9993528256976 | 10.0006471743024 |
| 49 | 62 | 59.9991909552275 | 2.00080904477253 |
| 50 | 48 | 61.9998381360656 | -13.9998381360656 |
| 51 | 44 | 48.0011325762886 | -4.0011325762886 |
| 52 | 40 | 44.0003236885912 | -4.00032368859121 |
| 53 | 67 | 40.0003236231528 | 26.9996763768472 |
| 54 | 69 | 66.997815746656 | 2.00218425334401 |
| 55 | 64 | 68.9998380248122 | -4.99983802481223 |
| 56 | 69 | 64.0004044831046 | 4.99959551689535 |
| 57 | 68 | 68.9995955365141 | -0.999595536514065 |
| 58 | 60 | 68.0000808665209 | -8.00008086652088 |
| 59 | 69 | 60.0006472004753 | 8.99935279952467 |
| 60 | 79 | 68.9992719591831 | 10.0007280408169 |
| 61 | 83 | 78.9991909486854 | 4.00080905131458 |
| 62 | 71 | 82.9996763375817 | -11.9996763375817 |
| 63 | 63 | 71.0009707647159 | -8.0009707647159 |
| 64 | 69 | 63.0006472724674 | 5.99935272753257 |
| 65 | 95 | 68.9995146569139 | 26.0004853430861 |
| 66 | 103 | 94.9978965804529 | 8.00210341954711 |
| 67 | 101 | 102.999352635902 | -1.99935263590166 |
| 68 | 105 | 101.000161746112 | 3.99983825388794 |
| 69 | 104 | 104.999676416118 | -0.99967641611849 |
| 70 | 94 | 104.000080873064 | -10.000080873064 |
| 71 | 111 | 94.0008089989592 | 16.9991910010408 |
| 72 | 116 | 110.998624778339 | 5.00137522166085 |
| 73 | 122 | 115.999595392537 | 6.0004046074627 |
| 74 | 103 | 121.999514571818 | -18.9995145718176 |
| 75 | 96 | 103.001537046321 | -7.00153704632081 |
| 76 | 104 | 96.0005664190375 | 7.99943358096249 |
| 77 | 124 | 103.99935285189 | 20.0006471481104 |
| 78 | 141 | 123.998381962813 | 17.001618037187 |
| 79 | 137 | 140.998624581994 | -3.99862458199377 |
| 80 | 137 | 137.000323485696 | -0.000323485696384296 |
| 81 | 139 | 137.00000002617 | 1.99999997383026 |
| 82 | 132 | 138.999838201519 | -6.9998382015188 |
| 83 | 150 | 132.000566281602 | 17.9994337183977 |
| 84 | 150 | 149.998543859462 | 0.00145614053818122 |
| 85 | 147 | 149.999999882199 | -2.99999988219935 |
| 86 | 130 | 147.000242697715 | -17.0002426977155 |
| 87 | 133 | 130.001375306742 | 2.99862469325768 |
| 88 | 135 | 132.999757413536 | 2.00024258646371 |
| 89 | 148 | 134.999838181892 | 13.0001618181084 |
| 90 | 165 | 147.998948296767 | 17.0010517032326 |
| 91 | 153 | 164.99862462781 | -11.9986246278098 |
| 92 | 159 | 153.000970679633 | 5.99902932036662 |
| 93 | 154 | 158.999514683077 | -4.99951468307728 |
| 94 | 151 | 154.000404456947 | -3.00040445694654 |
| 95 | 174 | 151.000242730445 | 22.9997572695547 |
| 96 | 169 | 173.998139337078 | -4.99813933707847 |
| 97 | 162 | 169.000404345682 | -7.00040434568209 |
| 98 | 152 | 162.000566327403 | -10.0005663274029 |
| 99 | 162 | 152.000809038232 | 9.99919096176791 |
| 100 | 167 | 161.999191073034 | 5.00080892696604 |
| 101 | 173 | 166.99959543835 | 6.0004045616499 |
| 102 | 181 | 172.999514571821 | 8.00048542817871 |
| 103 | 173 | 180.999352766796 | -7.99935276679594 |
| 104 | 178 | 173.000647141573 | 4.99935285842739 |
| 105 | 172 | 177.999595556145 | -5.99959555614495 |
| 106 | 171 | 172.000485362731 | -1.00048536273079 |
| 107 | 196 | 171.000080938507 | 24.9999190614929 |
| 108 | 199 | 195.997977525506 | 3.00202247449369 |
| 109 | 190 | 198.999757138658 | -8.99975713865837 |
| 110 | 176 | 190.000728073528 | -14.0007280735277 |
| 111 | 188 | 176.001132648284 | 11.9988673517161 |
| 112 | 193 | 187.99902930073 | 5.00097069926957 |
| 113 | 200 | 192.999595425263 | 7.00040457473713 |
| 114 | 209 | 199.999433672579 | 9.00056632742144 |
| 115 | 200 | 208.99927186101 | -8.99927186100959 |
| 116 | 207 | 200.000728034269 | 6.99927196573094 |
| 117 | 204 | 206.999433764206 | -2.99943376420578 |
| 118 | 192 | 204.000242651917 | -12.0002426519169 |
| 119 | 216 | 192.00097081053 | 23.9990291894697 |
| 120 | 216 | 215.998058496738 | 0.00194150326206 |
| Extrapolation Forecasts of Exponential Smoothing | |||
| t | Forecast | 95% Lower Bound | 95% Upper Bound |
| 121 | 215.999999842934 | 195.859203850694 | 236.140795835174 |
| 122 | 215.999999842934 | 187.517765112613 | 244.482234573254 |
| 123 | 215.999999842934 | 181.116999294456 | 250.883000391412 |
| 124 | 215.999999842934 | 175.72085189642 | 256.279147789448 |
| 125 | 215.999999842934 | 170.966725574575 | 261.033274111292 |
| 126 | 215.999999842934 | 166.66865257407 | 265.331347111798 |
| 127 | 215.999999842934 | 162.716157494683 | 269.283842191185 |
| 128 | 215.999999842934 | 159.037258621805 | 272.962741064063 |
| 129 | 215.999999842934 | 155.581956847009 | 276.418042838858 |
| 130 | 215.999999842934 | 152.313847882799 | 279.686151803069 |
| 131 | 215.999999842934 | 149.205449290352 | 282.794550395516 |
| 132 | 215.999999842934 | 146.235409859523 | 285.764589826345 |
