Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.227127768459855 |
beta | 1 |
gamma | 0.755773986257052 |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
13 | 5200 | 4669.7516025641 | 530.248397435896 |
14 | 5350 | 5045.47564227293 | 304.524357727069 |
15 | 5450 | 5387.01408903384 | 62.9859109661638 |
16 | 5900 | 6023.4149634535 | -123.414963453501 |
17 | 5800 | 6039.44805798351 | -239.448057983514 |
18 | 5950 | 6201.82484494693 | -251.824844946926 |
19 | 6750 | 6785.44410483109 | -35.44410483109 |
20 | 6500 | 6722.65909892011 | -222.659098920115 |
21 | 6500 | 6564.69697158113 | -64.6969715811329 |
22 | 7100 | 6971.66795094449 | 128.332049055508 |
23 | 7100 | 7243.29561960357 | -143.295619603569 |
24 | 8400 | 7766.51602105086 | 633.483978949142 |
25 | 6900 | 7496.85673369521 | -596.856733695207 |
26 | 7400 | 7360.19735523741 | 39.8026447625898 |
27 | 7650 | 7315.86049353674 | 334.139506463259 |
28 | 7850 | 7781.89151184071 | 68.1084881592851 |
29 | 7750 | 7694.0718248414 | 55.9281751585986 |
30 | 8000 | 7903.81920862188 | 96.1807913781167 |
31 | 8950 | 8759.42550587582 | 190.574494124185 |
32 | 9100 | 8756.50897435155 | 343.491025648453 |
33 | 9100 | 9065.88078070803 | 34.119219291968 |
34 | 10050 | 9876.9682401513 | 173.031759848698 |
35 | 10450 | 10279.1598344273 | 170.840165572661 |
36 | 11900 | 11677.8817574889 | 222.118242511056 |
37 | 10000 | 10853.1173209204 | -853.117320920361 |
38 | 11250 | 11228.9235674269 | 21.0764325731161 |
39 | 11250 | 11546.7934322698 | -296.79343226984 |
40 | 11650 | 11765.3593869077 | -115.35938690771 |
41 | 11550 | 11638.3141717727 | -88.3141717726503 |
42 | 11800 | 11815.6107427324 | -15.6107427323932 |
43 | 13050 | 12652.3704604653 | 397.629539534684 |
44 | 12350 | 12784.2383751383 | -434.238375138315 |
45 | 12200 | 12558.0484397558 | -358.048439755828 |
46 | 13450 | 13093.9241558212 | 356.075844178771 |
47 | 13450 | 13310.7036753416 | 139.296324658417 |
48 | 14450 | 14499.3426942123 | -49.3426942123278 |
49 | 12500 | 12690.3317412145 | -190.331741214472 |
50 | 13350 | 13583.3160801475 | -233.316080147541 |
51 | 13600 | 13455.9635208025 | 144.036479197463 |
52 | 13200 | 13778.9878490598 | -578.987849059762 |
53 | 13450 | 13355.4893992323 | 94.5106007676841 |
54 | 13600 | 13451.3545251959 | 148.645474804129 |
55 | 14450 | 14438.6857838472 | 11.314216152834 |
56 | 14000 | 13781.0436915215 | 218.956308478468 |
57 | 13600 | 13680.2157677535 | -80.2157677535251 |
58 | 14700 | 14691.9299980755 | 8.07000192452506 |
59 | 14450 | 14619.604453227 | -169.604453227043 |
60 | 15250 | 15474.2976465219 | -224.297646521914 |
61 | 13750 | 13349.8597021304 | 400.140297869575 |
62 | 14450 | 14292.6255600563 | 157.374439943709 |
63 | 14300 | 14503.9410684875 | -203.941068487457 |
64 | 14600 | 14276.0775243934 | 323.922475606611 |
65 | 14700 | 14606.6108951487 | 93.3891048512705 |
66 | 14600 | 14889.1417639056 | -289.141763905649 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
67 | 15752.6876402244 | 15197.4262809332 | 16307.9489995156 |
68 | 15267.058963599 | 14657.1938753138 | 15876.9240518843 |
69 | 14945.3134792417 | 14227.6220513422 | 15663.0049071413 |
70 | 16048.6002722787 | 15171.3534536299 | 16925.8470909275 |
71 | 15890.610402644 | 14810.2454014755 | 16970.9754038124 |
72 | 16810.3513668405 | 15491.3476614496 | 18129.3550722314 |
73 | 15211.0196177708 | 13623.84640023 | 16798.1928353116 |
74 | 15939.6332543308 | 14058.9305125147 | 17820.335996147 |
75 | 15886.9444697325 | 13690.2758918591 | 18083.613047606 |
76 | 16042.8464556751 | 13509.891844811 | 18575.8010665393 |
77 | 16120.6887747122 | 13232.718624847 | 19008.6589245773 |
78 | 16092.8935817324 | 12832.4180730292 | 19353.3690904355 |
79 | 17191.0041225134 | 13384.7786445931 | 20997.2296004337 |
80 | 16705.3754458881 | 12509.5746189487 | 20901.1762728274 |
81 | 16383.6299615308 | 11781.0889705534 | 20986.1709525082 |
82 | 17486.9167545678 | 12461.4735406799 | 22512.3599684556 |
83 | 17328.926884933 | 11865.2612224963 | 22792.5925473697 |
84 | 18248.6678491295 | 12332.1754234894 | 24165.1602747697 |