Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.283896982915226 |
beta | FALSE |
gamma | FALSE |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
2 | 12873 | 13328 | -455 |
3 | 14000 | 13198.8268727736 | 801.173127226426 |
4 | 13477 | 13426.2775063859 | 50.7224936140883 |
5 | 14237 | 13440.6774692889 | 796.322530711112 |
6 | 13674 | 13666.7510331852 | 7.24896681480823 |
7 | 13529 | 13668.8089929932 | -139.80899299317 |
8 | 14058 | 13629.117641698 | 428.882358302006 |
9 | 12975 | 13750.8760492455 | -775.8760492455 |
10 | 14326 | 13530.6071797485 | 795.392820251482 |
11 | 14008 | 13756.4168016503 | 251.583198349654 |
12 | 16193 | 13827.840512614 | 2365.15948738602 |
13 | 14483 | 14499.3021551962 | -16.3021551961901 |
14 | 14011 | 14494.674022521 | -483.674022520976 |
15 | 15057 | 14357.3604268128 | 699.6395731872 |
16 | 14884 | 14555.9859907687 | 328.014009231258 |
17 | 15414 | 14649.1081783434 | 764.891821656576 |
18 | 14440 | 14866.2586587683 | -426.258658768256 |
19 | 14900 | 14745.2451116025 | 154.754888397543 |
20 | 15074 | 14789.1795575099 | 284.820442490098 |
21 | 14442 | 14870.0392218054 | -428.03922180542 |
22 | 15307 | 14748.5201781655 | 558.47982183452 |
23 | 14938 | 14907.0709146033 | 30.9290853966668 |
24 | 17193 | 14915.8515886318 | 2277.14841136823 |
25 | 15528 | 15562.3271522694 | -34.3271522694122 |
26 | 14765 | 15552.5817773081 | -787.581777308054 |
27 | 15838 | 15328.9896869313 | 509.010313068713 |
28 | 15723 | 15473.4961790842 | 249.503820915772 |
29 | 16150 | 15544.329561068 | 605.670438931964 |
30 | 15486 | 15716.2775713218 | -230.27757132176 |
31 | 15986 | 15650.9024635905 | 335.097536409534 |
32 | 15983 | 15746.0356431595 | 236.964356840541 |
33 | 15692 | 15813.3091091249 | -121.309109124935 |
34 | 16490 | 15778.8698190442 | 711.130180955768 |
35 | 15686 | 15980.7575318775 | -294.757531877533 |
36 | 18897 | 15897.076757886 | 2999.92324211404 |
37 | 16316 | 16748.7459152994 | -432.745915299402 |
38 | 15636 | 16625.890655577 | -989.890655577015 |
39 | 17163 | 16344.8636850427 | 818.136314957275 |
40 | 16534 | 16577.1301164725 | -43.1301164724755 |
41 | 16518 | 16564.8856065332 | -46.8856065331565 |
42 | 16375 | 16551.5749242962 | -176.574924296241 |
43 | 16290 | 16501.4458360301 | -211.445836030056 |
44 | 16352 | 16441.4170011311 | -89.4170011311362 |
45 | 15943 | 16416.0317842887 | -473.03178428868 |
46 | 16362 | 16281.7394879061 | 80.2605120938824 |
47 | 16393 | 16304.5252051368 | 88.4747948631975 |
48 | 19051 | 16329.6429324625 | 2721.35706753749 |
49 | 16747 | 17102.2279933714 | -355.227993371427 |
50 | 16320 | 17001.3798378062 | -681.379837806249 |
51 | 17910 | 16807.9381576338 | 1102.06184236621 |
52 | 16961 | 17120.8101896676 | -159.810189667551 |
53 | 17480 | 17075.4405589818 | 404.559441018177 |
54 | 17049 | 17190.2937636968 | -141.293763696754 |
55 | 16879 | 17150.1808904785 | -271.18089047851 |
56 | 17473 | 17073.1934538474 | 399.806546152602 |
57 | 16998 | 17186.6973260499 | -188.697326049878 |
58 | 17307 | 17133.1267245001 | 173.873275499853 |
59 | 17418 | 17182.4888228241 | 235.511177175857 |
60 | 20169 | 17249.3497354672 | 2919.65026453282 |
61 | 17871 | 18078.2296367357 | -207.22963673569 |
62 | 17226 | 18019.3977680958 | -793.397768095809 |
63 | 19062 | 17794.1545354817 | 1267.84546451826 |
64 | 17804 | 18154.0920376612 | -350.092037661223 |
65 | 19100 | 18054.7019644266 | 1045.29803557344 |
66 | 18522 | 18351.4589229731 | 170.54107702693 |
67 | 18060 | 18399.8750202041 | -339.87502020413 |
68 | 18869 | 18303.3855273999 | 565.614472600075 |
69 | 18127 | 18463.9617696643 | -336.961769664274 |
70 | 18871 | 18368.2993398988 | 502.700660101189 |
71 | 18890 | 18511.014540611 | 378.985459388969 |
72 | 21263 | 18618.6073691003 | 2644.3926308997 |
73 | 19547 | 19369.342458656 | 177.657541344019 |
74 | 18450 | 19419.7788986357 | -969.778898635686 |
75 | 20254 | 19144.4615952182 | 1109.53840478184 |
76 | 19240 | 19459.4562007643 | -219.4562007643 |
77 | 20216 | 19397.1532474853 | 818.846752514721 |
78 | 19420 | 19629.6213699941 | -209.62136999414 |
79 | 19415 | 19570.1104954982 | -155.110495498247 |
80 | 20018 | 19526.0750938078 | 491.924906192191 |
81 | 18652 | 19665.7310904966 | -1013.73109049663 |
82 | 19978 | 19377.9358924173 | 600.064107582726 |
83 | 19509 | 19548.2922821157 | -39.2922821157263 |
84 | 21971 | 19537.1373217712 | 2433.86267822878 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
85 | 20228.1035929503 | 18517.5988462094 | 21938.6083396913 |
86 | 20228.1035929503 | 18450.003263949 | 22006.2039219516 |
87 | 20228.1035929503 | 18384.8849213419 | 22071.3222645587 |
88 | 20228.1035929503 | 18321.9899125165 | 22134.2172733842 |
89 | 20228.1035929503 | 18261.1049518455 | 22195.1022340552 |
90 | 20228.1035929503 | 18202.0488193868 | 22254.1583665139 |
91 | 20228.1035929503 | 18144.6659920487 | 22311.541193852 |
92 | 20228.1035929503 | 18088.8218143569 | 22367.3853715438 |
93 | 20228.1035929503 | 18034.3987769842 | 22421.8084089165 |
94 | 20228.1035929503 | 17981.2936074454 | 22474.9135784552 |
95 | 20228.1035929503 | 17929.4149662904 | 22526.7922196103 |
96 | 20228.1035929503 | 17878.6816015433 | 22577.5255843574 |