Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.815225442321146 |
beta | 0.0280712260414709 |
gamma | 1 |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
13 | 7104 | 6939.00320512821 | 164.996794871791 |
14 | 7022 | 6993.56835945641 | 28.431640543592 |
15 | 6858 | 6851.20276584161 | 6.79723415838816 |
16 | 7018 | 7014.18913751898 | 3.81086248101838 |
17 | 7218 | 7218.91148557432 | -0.91148557431643 |
18 | 7134 | 7137.92986323399 | -3.92986323399145 |
19 | 7006 | 6998.98098348988 | 7.01901651012213 |
20 | 7160 | 7142.28520156941 | 17.7147984305921 |
21 | 7374 | 7308.63095200026 | 65.3690479997422 |
22 | 7276 | 7323.90492243004 | -47.9049224300361 |
23 | 7128 | 7201.40546254244 | -73.405462542436 |
24 | 7272 | 7285.60414190136 | -13.6041419013636 |
25 | 7462 | 7519.73026680107 | -57.7302668010661 |
26 | 7366 | 7365.92488834038 | 0.0751116596202337 |
27 | 7218 | 7194.2319221023 | 23.768077897701 |
28 | 7366 | 7368.67699811462 | -2.67699811462171 |
29 | 7546 | 7565.26468296767 | -19.2646829676705 |
30 | 7464 | 7466.37032186148 | -2.37032186147826 |
31 | 7332 | 7328.35855756225 | 3.64144243774626 |
32 | 7502 | 7468.45096924524 | 33.5490307547598 |
33 | 7736 | 7654.43820771179 | 81.5617922882093 |
34 | 7628 | 7660.28105445934 | -32.281054459344 |
35 | 7494 | 7544.46254769983 | -50.4625476998326 |
36 | 7668 | 7657.5955013283 | 10.4044986717017 |
37 | 7888 | 7902.87098224518 | -14.8709822451829 |
38 | 7774 | 7795.39764088185 | -21.3976408818453 |
39 | 7644 | 7610.79710188452 | 33.2028981154754 |
40 | 7826 | 7788.4829202207 | 37.5170797792953 |
41 | 8056 | 8016.1282883919 | 39.8717116080952 |
42 | 7990 | 7971.273798919 | 18.7262010810009 |
43 | 7814 | 7854.76278886203 | -40.7627888620282 |
44 | 7978 | 7966.35725055198 | 11.6427494480204 |
45 | 8238 | 8145.03150401797 | 92.9684959820333 |
46 | 8138 | 8141.07319558437 | -3.07319558436939 |
47 | 8000 | 8048.30967620463 | -48.3096762046316 |
48 | 8176 | 8177.09712922554 | -1.09712922553626 |
49 | 8412 | 8410.71545925435 | 1.28454074564797 |
50 | 8332 | 8317.96579450236 | 14.0342054976427 |
51 | 8194 | 8175.90906803615 | 18.0909319638504 |
52 | 8354 | 8345.2966296019 | 8.70337039810329 |
53 | 8576 | 8552.45227255631 | 23.5477274436889 |
54 | 8500 | 8492.57420700311 | 7.42579299688805 |
55 | 8376 | 8357.79146564261 | 18.2085343573926 |
56 | 8538 | 8530.4262832603 | 7.57371673970192 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
57 | 8723.99939201008 | 8643.14451512669 | 8804.85426889347 |
58 | 8627.56631849611 | 8522.06919799573 | 8733.06343899649 |
59 | 8530.08150307324 | 8403.68541376852 | 8656.47759237795 |
60 | 8709.21335503142 | 8564.01230369509 | 8854.41440636775 |
61 | 8946.42871615343 | 8783.76768361273 | 9109.08974869412 |
62 | 8857.22083027299 | 8678.03205465913 | 9036.40960588685 |
63 | 8706.38463370591 | 8511.34563753866 | 8901.42362987317 |
64 | 8860.7874164492 | 8650.40624574375 | 9071.16858715464 |
65 | 9064.88953043886 | 8839.55523320302 | 9290.2238276747 |
66 | 8983.59578048099 | 8743.61039985033 | 9223.58116111165 |
67 | 8845.34173077665 | 8590.94165899051 | 9099.74180256279 |
68 | 9001.34076399172 | 8732.71158900098 | 9269.96993898246 |