| Estimated Parameters of Exponential Smoothing | |
| Parameter | Value |
| alpha | 0.590165006435149 |
| beta | 0.0991010132646001 |
| gamma | 1 |
| Interpolation Forecasts of Exponential Smoothing | |||
| t | Observed | Fitted | Residuals |
| 5 | 5348.9 | 5294.730625 | 54.1693749999995 |
| 6 | 5411.6 | 5387.37639191034 | 24.2236080896582 |
| 7 | 5474.6 | 5432.41595583406 | 42.1840441659388 |
| 8 | 5463.6 | 5492.65981453373 | -29.0598145337317 |
| 9 | 5477.3 | 5516.83395549635 | -39.5339554963475 |
| 10 | 5530.4 | 5541.77861539719 | -11.3786153971869 |
| 11 | 5584.1 | 5570.95772102889 | 13.1422789711141 |
| 12 | 5605.5 | 5580.9552975403 | 24.5447024596961 |
| 13 | 5626.6 | 5631.69876795952 | -5.09876795951641 |
| 14 | 5659 | 5689.74537765824 | -30.7453776582415 |
| 15 | 5697.6 | 5717.65219850462 | -20.0521985046153 |
| 16 | 5705.9 | 5710.89903760922 | -4.99903760921643 |
| 17 | 5633.3 | 5728.49637071288 | -95.1963707128789 |
| 18 | 5671.2 | 5714.02868182132 | -42.8286818213155 |
| 19 | 5709.5 | 5729.64912671272 | -20.149126712723 |
| 20 | 5723.8 | 5719.46473365569 | 4.33526634431018 |
| 21 | 5754.2 | 5696.60740789181 | 57.5925921081871 |
| 22 | 5775.7 | 5793.71112233853 | -18.0111223385329 |
| 23 | 5803.6 | 5834.66296892196 | -31.0629689219604 |
| 24 | 5846.5 | 5828.82393396524 | 17.6760660347627 |
| 25 | 5849.6 | 5837.19861123064 | 12.4013887693636 |
| 26 | 5866 | 5875.53597471189 | -9.53597471189278 |
| 27 | 5900 | 5915.52509411741 | -15.5250941174072 |
| 28 | 5949.6 | 5939.12431932251 | 10.4756806774913 |
| 29 | 5886.2 | 5940.96010051511 | -54.76010051511 |
| 30 | 5896.7 | 5926.61466722744 | -29.9146672274446 |
| 31 | 5913.4 | 5946.87484073418 | -33.4748407341758 |
| 32 | 5963.1 | 5964.23936901075 | -1.13936901075249 |
| 33 | 5905.2 | 5925.50771917556 | -20.3077191755638 |
| 34 | 5912.2 | 5936.71565480283 | -24.515654802829 |
| 35 | 5928.9 | 5954.05707026548 | -25.1570702654835 |
| 36 | 5990.6 | 5985.42315359859 | 5.17684640141124 |
| 37 | 5853.6 | 5938.77315241459 | -85.1731524145944 |
| 38 | 5976.1 | 5902.39140346084 | 73.7085965391643 |
| 39 | 6002.5 | 5975.59938252709 | 26.9006174729084 |
| 40 | 6091.9 | 6051.32555753058 | 40.5744424694221 |
| 41 | 5917.8 | 5991.81321522218 | -74.0132152221786 |
| 42 | 6010.3 | 6031.0614983112 | -20.7614983112044 |
| 43 | 6087.7 | 6027.73633926424 | 59.9636607357597 |
| 44 | 6192.9 | 6128.9162547081 | 63.9837452919046 |
| Extrapolation Forecasts of Exponential Smoothing | |||
| t | Forecast | 95% Lower Bound | 95% Upper Bound |
| 45 | 6037.96342443633 | 5960.40208514267 | 6115.52476372999 |
| 46 | 6148.75106007369 | 6056.30171560596 | 6241.20040454143 |
| 47 | 6198.0117876575 | 6090.51751678963 | 6305.50605852538 |
| 48 | 6269.1929703419 | 6146.38691435583 | 6391.99902632797 |
| 49 | 6114.25639477823 | 5958.56108427467 | 6269.95170528179 |
| 50 | 6225.0440304156 | 6054.96420086291 | 6395.12385996829 |
| 51 | 6274.30475799941 | 6089.22395246181 | 6459.385563537 |
| 52 | 6345.4859406838 | 6144.82340484504 | 6546.14847652257 |
| 53 | 6190.54936512013 | 5959.83833755956 | 6421.2603926807 |
| 54 | 6301.3370007575 | 6054.90815227531 | 6547.76584923969 |
| 55 | 6350.59772834131 | 6087.85634531828 | 6613.33911136433 |
| 56 | 6421.7789110257 | 6142.16077086496 | 6701.39705118645 |
