| Estimated Parameters of Exponential Smoothing | |
| Parameter | Value |
| alpha | 0.999955647489977 |
| beta | FALSE |
| gamma | FALSE |
| Interpolation Forecasts of Exponential Smoothing | |||
| t | Observed | Fitted | Residuals |
| 2 | 111 | 111 | 0 |
| 3 | 112 | 111 | 1 |
| 4 | 115 | 111.99995564749 | 3.00004435251002 |
| 5 | 115 | 114.999866940503 | 0.000133059497215982 |
| 6 | 115 | 114.999999994098 | 5.90152637869323e-09 |
| 7 | 116 | 115 | 1.00000000000026 |
| 8 | 116 | 115.99995564749 | 4.43525100166653e-05 |
| 9 | 112 | 115.999999998033 | -3.99999999803285 |
| 10 | 110 | 112.00017741004 | -2.00017741004001 |
| 11 | 111 | 110.000088712889 | 0.999911287111374 |
| 12 | 111 | 110.999955651425 | 4.4348575386266e-05 |
| 13 | 108 | 110.999999998033 | -2.99999999803303 |
| 14 | 109 | 108.00013305753 | 0.999866942470021 |
| 15 | 112 | 108.999955653391 | 3.00004434660859 |
| 16 | 113 | 111.999866940503 | 1.00013305949695 |
| 17 | 114 | 112.999955641588 | 1.00004435841154 |
| 18 | 115 | 113.999955645523 | 1.00004435447742 |
| 19 | 116 | 114.999955645523 | 1.00004435447725 |
| 20 | 114 | 115.999955645523 | -1.99995564552275 |
| 21 | 115 | 114.000088703053 | 0.999911296947189 |
| 22 | 117 | 114.999955651424 | 2.00004434857583 |
| 23 | 121 | 116.999911293013 | 4.00008870698701 |
| 24 | 119 | 120.999822586026 | -1.99982258602553 |
| 25 | 119 | 119.000088697151 | -8.86971512841228e-05 |
| 26 | 119 | 119.000000003934 | -3.93394827824523e-09 |
| 27 | 122 | 119 | 2.99999999999983 |
| 28 | 123 | 121.99986694247 | 1.00013305753006 |
| 29 | 127 | 122.999955641589 | 4.00004435841146 |
| 30 | 130 | 126.999822587992 | 3.0001774120075 |
| 31 | 131 | 129.999866934601 | 1.00013306539873 |
| 32 | 126 | 130.999955641588 | -4.9999556415882 |
| 33 | 125 | 126.000221760583 | -1.0002217605827 |
| 34 | 121 | 125.000044362346 | -4.00004436234566 |
| 35 | 114 | 121.000177412008 | -7.00017741200767 |
| 36 | 109 | 114.000310475439 | -5.00031047543882 |
| 37 | 108 | 109.00022177632 | -1.00022177632047 |
| 38 | 110 | 108.000044362346 | 1.99995563765364 |
| 39 | 110 | 109.999911296948 | 8.8703052469441e-05 |
| 40 | 111 | 109.999999996066 | 1.0000000039342 |
| 41 | 113 | 110.99995564749 | 2.0000443525102 |
| 42 | 116 | 112.999911293013 | 3.00008870698719 |
| 43 | 115 | 115.999866938536 | -0.999866938535561 |
| 44 | 117 | 115.000044346608 | 1.99995565339158 |
| 45 | 116 | 116.999911296947 | -0.999911296946834 |
| 46 | 115 | 116.000044348576 | -1.00004434857583 |
| 47 | 117 | 115.000044354477 | 1.999955645523 |
| 48 | 117 | 116.999911296947 | 8.87030528105015e-05 |
| 49 | 119 | 116.999999996066 | 2.0000000039342 |
| 50 | 118 | 118.99991129498 | -0.999911294979782 |
| 51 | 122 | 118.000044348576 | 3.99995565142427 |
| 52 | 124 | 121.999822591927 | 2.00017740807311 |
| 53 | 125 | 123.999911287111 | 1.00008871288854 |
| 54 | 125 | 124.999955643555 | 4.43564446612754e-05 |
| 55 | 124 | 124.999999998033 | -0.999999998032678 |
| 56 | 124 | 124.00004435251 | -4.43525099314002e-05 |
| 57 | 125 | 124.000000001967 | 0.999999998032848 |
| 58 | 125 | 124.99995564749 | 4.43525099314002e-05 |
| 59 | 126 | 124.999999998033 | 1.00000000196715 |
| 60 | 129 | 125.99995564749 | 3.00004435251012 |
| 61 | 131 | 128.999866940503 | 2.00013305949722 |
| 62 | 132 | 130.999911289078 | 1.00008871092157 |
| 63 | 135 | 131.999955643555 | 3.00004435644456 |
| 64 | 137 | 134.999866940503 | 2.00013305949739 |
| 65 | 138 | 136.999911289078 | 1.00008871092157 |
| 66 | 136 | 137.999955643555 | -1.99995564355544 |
| 67 | 136 | 136.000088703053 | -8.87030527394472e-05 |
| 68 | 136 | 136.000000003934 | -3.93418986277538e-09 |
| 69 | 138 | 136 | 1.99999999999983 |
| 70 | 138 | 137.99991129498 | 8.87050200333306e-05 |
| 71 | 138 | 137.999999996066 | 3.9343035496131e-09 |
| 72 | 138 | 138 | 1.70530256582424e-13 |
| Extrapolation Forecasts of Exponential Smoothing | |||
| t | Forecast | 95% Lower Bound | 95% Upper Bound |
| 73 | 138 | 133.804559026349 | 142.195440973651 |
| 74 | 138 | 132.066882050722 | 143.933117949278 |
| 75 | 138 | 130.733497936648 | 145.266502063352 |
| 76 | 138 | 129.609397168657 | 146.390602831343 |
| 77 | 138 | 128.619041652902 | 147.380958347098 |
| 78 | 138 | 127.723690198002 | 148.276309801998 |
| 79 | 138 | 126.900328528137 | 149.099671471863 |
| 80 | 138 | 126.133961468968 | 149.866038531032 |
| 81 | 138 | 125.414173286725 | 150.585826713275 |
| 82 | 138 | 124.733380321527 | 151.266619678473 |
| 83 | 138 | 124.085857506483 | 151.914142493517 |
| 84 | 138 | 123.467157023949 | 152.532842976051 |
