Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.105565855420786 |
beta | 0 |
gamma | 0.649886178771197 |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
13 | 7897 | 8049.3170405983 | -152.317040598293 |
14 | 6930 | 7046.48421109652 | -116.48421109652 |
15 | 9545 | 9583.89243822658 | -38.8924382265832 |
16 | 9110 | 9132.03337389994 | -22.0333738999434 |
17 | 7459 | 7505.78738445388 | -46.7873844538753 |
18 | 7320 | 7354.17821670858 | -34.1782167085821 |
19 | 10017 | 10291.0668132091 | -274.066813209136 |
20 | 12307 | 11577.8396981477 | 729.160301852255 |
21 | 11072 | 10314.7274450025 | 757.272554997526 |
22 | 10749 | 11448.7078859083 | -699.70788590829 |
23 | 9589 | 9802.33927357186 | -213.339273571859 |
24 | 9080 | 8941.10624651321 | 138.893753486787 |
25 | 7384 | 7876.64309174713 | -492.643091747132 |
26 | 8062 | 6858.71237258351 | 1203.28762741649 |
27 | 8511 | 9580.54601867563 | -1069.54601867563 |
28 | 8684 | 9029.68497094595 | -345.684970945955 |
29 | 8306 | 7354.8834029306 | 951.116597069407 |
30 | 7643 | 7315.94828454679 | 327.051715453214 |
31 | 10577 | 10151.5278912971 | 425.472108702919 |
32 | 13747 | 12095.3044480068 | 1651.69555199322 |
33 | 11783 | 10945.9215191251 | 837.078480874921 |
34 | 11611 | 11241.4125843075 | 369.587415692478 |
35 | 9946 | 9990.64158105826 | -44.6415810582585 |
36 | 8693 | 9351.96342098732 | -658.963420987318 |
37 | 7303 | 7836.17380841848 | -533.173808418475 |
38 | 7609 | 7799.77569658483 | -190.775696584833 |
39 | 9423 | 9053.29023083748 | 369.709769162524 |
40 | 8584 | 9075.13168247993 | -491.131682479934 |
41 | 7586 | 8138.78122705509 | -552.78122705509 |
42 | 6843 | 7578.32917164003 | -735.329171640026 |
43 | 11811 | 10358.9674756746 | 1452.03252432537 |
44 | 13414 | 13123.8934001608 | 290.106599839155 |
45 | 12103 | 11357.2522413304 | 745.747758669617 |
46 | 11501 | 11371.3585127622 | 129.641487237841 |
47 | 8213 | 9854.47422021005 | -1641.47422021005 |
48 | 7982 | 8690.13181891705 | -708.131818917054 |
49 | 7687 | 7242.27073720966 | 444.729262790337 |
50 | 7180 | 7508.13510703508 | -328.135107035082 |
51 | 7862 | 9072.94838683614 | -1210.94838683614 |
52 | 8043 | 8427.53605476578 | -384.536054765782 |
53 | 8340 | 7466.60278675041 | 873.397213249588 |
54 | 6692 | 6950.59493824193 | -258.594938241931 |
55 | 10065 | 11053.0305555986 | -988.030555598592 |
56 | 12684 | 12884.9643811143 | -200.964381114252 |
57 | 11587 | 11331.3381638754 | 255.6618361246 |
58 | 9843 | 10935.5776029209 | -1092.57760292092 |
59 | 8110 | 8260.15388030792 | -150.153880307920 |
60 | 7940 | 7795.77761992109 | 144.222380078911 |
61 | 6475 | 7108.0315756788 | -633.031575678803 |
62 | 6121 | 6810.87029959265 | -689.870299592649 |
63 | 9669 | 7824.33464820307 | 1844.66535179693 |
64 | 7778 | 7981.86807563744 | -203.868075637438 |
65 | 7826 | 7771.21911597785 | 54.7808840221469 |
66 | 7403 | 6510.78849694748 | 892.211503052522 |
67 | 10741 | 10310.7033617456 | 430.296638254384 |
68 | 14023 | 12749.8702423344 | 1273.12975766564 |
69 | 11519 | 11617.2858987291 | -98.285898729071 |
70 | 10236 | 10400.4553976088 | -164.455397608761 |
71 | 8075 | 8370.82211703647 | -295.822117036469 |
72 | 8157 | 8062.18341160016 | 94.8165883998354 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
73 | 6917.41932142142 | 5530.46525490141 | 8304.37338794142 |
74 | 6654.04532961832 | 5259.38446307983 | 8048.70619615681 |
75 | 9213.6122943451 | 7811.28698163361 | 10615.9376070566 |
76 | 7985.6397396372 | 6575.69164389434 | 9395.58783538005 |
77 | 7946.85985550106 | 6529.32996773629 | 9364.38974326583 |
78 | 7167.42824106203 | 5742.35689803253 | 8592.49958409154 |
79 | 10604.6539833144 | 9172.08088474614 | 12037.2270818826 |
80 | 13488.3185941946 | 12048.2828193755 | 14928.3543690137 |
81 | 11424.1581932759 | 9976.69821704986 | 12871.6181695020 |
82 | 10179.2402951229 | 8724.39400331265 | 11634.0865869331 |
83 | 8090.60699158816 | 6628.41169587304 | 9552.8022873033 |
84 | 8040.26761940268 | 6570.76007167488 | 9509.77516713047 |