Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.891950774998702 |
beta | 0.0308709918356764 |
gamma | FALSE |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
3 | 43129 | 38294 | 4835 |
4 | 93.2 | 41343.7156807425 | -41250.5156807425 |
5 | 96 | 2151.5702742753 | -2055.5702742753 |
6 | 95.2 | -2137.21416106058 | 2232.41416106058 |
7 | 77.1 | -2539.85712785652 | 2616.95712785652 |
8 | 70.9 | -2527.44772277248 | 2598.34772277248 |
9 | 64.8 | -2460.09043385689 | 2524.89043385689 |
10 | 70.1 | -2388.72954980765 | 2458.82954980765 |
11 | 77.3 | -2308.58685477511 | 2385.88685477511 |
12 | 79.5 | -2227.80909205549 | 2307.30909205549 |
13 | 100.6 | -2153.58613516723 | 2254.18613516723 |
14 | 100.7 | -2064.67631245925 | 2165.37631245925 |
15 | 107.1 | -1995.35596600121 | 2102.45596600121 |
16 | 95.9 | -1924.26549461597 | 2020.16549461597 |
17 | 82.8 | -1870.94799770903 | 1953.74799770903 |
18 | 83.3 | -1823.07439607553 | 1906.37439607553 |
19 | 80 | -1764.96292387901 | 1844.96292387901 |
20 | 80.4 | -1710.82566041176 | 1791.22566041176 |
21 | 67.5 | -1655.29726656836 | 1722.79726656836 |
22 | 75.7 | -1613.36571101775 | 1689.06571101775 |
23 | 71.1 | -1555.01193400117 | 1626.11193400117 |
24 | 89.3 | -1508.03417635465 | 1597.33417635465 |
25 | 101.1 | -1442.74151832915 | 1543.84151832915 |
26 | 105.2 | -1382.65137647994 | 1487.85137647994 |
27 | 114.1 | -1331.53309467615 | 1445.63309467615 |
28 | 96.3 | -1278.26534916889 | 1374.56534916889 |
29 | 84.4 | -1250.53732062833 | 1334.93732062833 |
30 | 91.2 | -1221.39750295918 | 1312.59750295919 |
31 | 81.9 | -1176.04079900557 | 1257.94079900557 |
32 | 80.5 | -1144.79727501887 | 1225.29727501887 |
33 | 70.4 | -1108.93111072403 | 1179.33111072403 |
34 | 74.8 | -1081.59114242335 | 1156.39114242335 |
35 | 75.9 | -1042.87079807454 | 1118.77079807454 |
36 | 86.3 | -1006.90014189238 | 1093.20014189238 |
37 | 98.7 | -963.635543554603 | 1062.33554355460 |
38 | 100.9 | -918.648808087963 | 1019.54880808796 |
39 | 113.8 | -883.752045037863 | 997.552045037863 |
40 | 89.8 | -841.007312176484 | 930.807312176484 |
41 | 84.4 | -832.165439113764 | 916.565439113764 |
42 | 87.2 | -810.788615106704 | 897.988615106704 |
43 | 85.6 | -781.25492338406 | 866.85492338406 |
44 | 72 | -755.621750649923 | 827.621750649923 |
45 | 69.2 | -742.19373657389 | 811.39373657389 |
46 | 77.5 | -720.898257003334 | 798.398257003334 |
47 | 78.1 | -689.209886075235 | 767.309886075235 |
48 | 94.3 | -664.122623145102 | 758.422623145102 |
49 | 97.7 | -626.078887113266 | 723.778887113266 |
50 | 100.2 | -599.00611342959 | 699.20611342959 |
51 | 116.4 | -574.598120700283 | 690.998120700283 |
52 | 97.1 | -538.484340275212 | 635.584340275212 |
53 | 93 | -534.295851965767 | 627.295851965767 |
54 | 96 | -520.227441830582 | 616.227441830582 |
55 | 80.5 | -499.063436453368 | 579.563436453368 |
56 | 76.1 | -494.643405087192 | 570.743405087192 |
57 | 69.9 | -482.374756670464 | 552.274756670464 |
58 | 73.6 | -471.37212437476 | 544.97212437476 |
59 | 92.6 | -451.877052405792 | 544.477052405792 |
60 | 94.2 | -417.831164061492 | 512.031164061492 |
61 | 93.5 | -398.626425448836 | 492.126425448836 |
62 | 108.5 | -383.624833386274 | 492.124833386274 |
63 | 109.4 | -355.073804721626 | 464.473804721626 |
64 | 105.1 | -338.396658135913 | 443.496658135913 |
65 | 92.5 | -328.218233565508 | 420.718233565508 |
66 | 97.1 | -326.772395452768 | 423.872395452768 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
67 | -310.841702083763 | -10869.0609229894 | 10247.3775188219 |
68 | -672.984320339411 | -15016.0631573927 | 13670.0945167139 |
69 | -1035.12693859506 | -18519.4382458274 | 16449.1843686373 |
70 | -1397.26955685071 | -21684.6234767831 | 18890.0843630817 |
71 | -1759.41217510635 | -24639.9653578445 | 21121.1410076318 |
72 | -2121.55479336200 | -27453.3359858439 | 23210.2263991199 |
73 | -2483.69741161765 | -30165.5334101318 | 25198.1385868965 |
74 | -2845.84002987330 | -32803.2009518857 | 27111.5208921391 |
75 | -3207.98264812895 | -35384.7827957826 | 28968.8174995247 |
76 | -3570.12526638459 | -37923.6122671048 | 30783.3617343356 |
77 | -3932.26788464024 | -40429.6557278898 | 32565.1199586093 |
78 | -4294.41050289589 | -42910.563346322 | 34321.7423405302 |