Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.009156096475084 |
beta | 0.812848002111988 |
gamma | 0.833462678892081 |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
13 | 9567 | 9504.62119075737 | 62.3788092426312 |
14 | 8547 | 8497.59539417671 | 49.4046058232889 |
15 | 9185 | 9134.37154882087 | 50.6284511791328 |
16 | 9470 | 9419.94477241531 | 50.0552275846912 |
17 | 9123 | 9086.84667164769 | 36.1533283523077 |
18 | 9278 | 9232.4371918493 | 45.5628081506929 |
19 | 10170 | 9972.17813280312 | 197.821867196884 |
20 | 9434 | 9668.37052643057 | -234.370526430568 |
21 | 9655 | 9389.14053659324 | 265.859463406765 |
22 | 9429 | 9688.6802711065 | -259.680271106492 |
23 | 8739 | 8707.38423795863 | 31.6157620413705 |
24 | 9552 | 9283.39278430658 | 268.607215693422 |
25 | 9687 | 9676.42039203878 | 10.5796079612210 |
26 | 9019 | 8648.95048781814 | 370.049512181862 |
27 | 9672 | 9304.463711084 | 367.536288916001 |
28 | 9206 | 9605.45821250016 | -399.458212500162 |
29 | 9069 | 9257.01606983497 | -188.016069834974 |
30 | 9788 | 9414.38648161398 | 373.613518386021 |
31 | 10312 | 10303.3288800074 | 8.67111999263761 |
32 | 10105 | 9634.90329740947 | 470.09670259053 |
33 | 9863 | 9787.8515062997 | 75.1484937003006 |
34 | 9656 | 9657.6997988451 | -1.69979884510758 |
35 | 9295 | 8914.55273764873 | 380.44726235127 |
36 | 9946 | 9719.04753684196 | 226.952463158043 |
37 | 9701 | 9915.76260133212 | -214.762601332119 |
38 | 9049 | 9176.32621688454 | -127.326216884545 |
39 | 10190 | 9848.06241635255 | 341.937583647452 |
40 | 9706 | 9513.49652211917 | 192.503477880829 |
41 | 9765 | 9351.32399773923 | 413.676002260770 |
42 | 9893 | 10011.5769550406 | -118.576955040602 |
43 | 9994 | 10624.780152 | -630.780151999999 |
44 | 10433 | 10330.8472734194 | 102.152726580614 |
45 | 10073 | 10153.8417277231 | -80.8417277231401 |
46 | 10112 | 9956.5284051429 | 155.471594857101 |
47 | 9266 | 9521.55817626532 | -255.558176265324 |
48 | 9820 | 10214.0778465724 | -394.077846572382 |
49 | 10097 | 10030.1999616757 | 66.8000383243361 |
50 | 9115 | 9342.83461443313 | -227.83461443313 |
51 | 10411 | 10429.0561821783 | -18.0561821782794 |
52 | 9678 | 9948.12953723954 | -270.129537239542 |
53 | 10408 | 9955.09156859064 | 452.908431409363 |
54 | 10153 | 10172.2841648514 | -19.2841648514459 |
55 | 10368 | 10359.0247185159 | 8.97528148409765 |
56 | 10581 | 10679.8494940193 | -98.8494940192577 |
57 | 10597 | 10335.7061881076 | 261.293811892412 |
58 | 10680 | 10333.3314094461 | 346.668590553863 |
59 | 9738 | 9539.61480190356 | 198.385198096435 |
60 | 9556 | 10138.0385857807 | -582.038585780661 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
61 | 10338.3607548844 | 9907.4914578564 | 10769.2300519124 |
62 | 9383.52397219175 | 8952.58483795345 | 9814.46310643004 |
63 | 10678.6125111127 | 10247.4445532898 | 11109.7804689355 |
64 | 9973.83579693766 | 9542.41125238746 | 10405.2603414879 |
65 | 10599.8459299746 | 10167.8377513713 | 11031.8541085779 |
66 | 10418.7343550571 | 9986.07696122865 | 10851.3917488856 |
67 | 10634.9380101426 | 10201.2510064494 | 11068.6250138357 |
68 | 10873.0809791185 | 10437.9925872730 | 11308.1693709640 |
69 | 10827.2088333938 | 10390.5915416698 | 11263.8261251178 |
70 | 10893.7135450363 | 10455.1098063205 | 11332.3172837522 |
71 | 9947.64676446379 | 9508.4169708839 | 10386.8765580437 |
72 | 9893.56841671324 | 9795.97164912508 | 9991.1651843014 |