Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.95579371676362 |
beta | 0 |
gamma | 0 |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
13 | 2351 | 2463.04754273504 | -112.047542735043 |
14 | 2276 | 2272.90920774109 | 3.09079225891219 |
15 | 2548 | 2557.86103655965 | -9.8610365596469 |
16 | 2311 | 2312.43358877283 | -1.43358877282935 |
17 | 2201 | 2181.47770929567 | 19.522290704329 |
18 | 2725 | 2716.0929944187 | 8.90700558129583 |
19 | 2408 | 2229.64559005282 | 178.354409947179 |
20 | 2139 | 2284.69661676842 | -145.69661676842 |
21 | 1898 | 2247.68837490512 | -349.688374905116 |
22 | 2539 | 2012.83109234319 | 526.168907656805 |
23 | 2070 | 2101.86269723562 | -31.8626972356151 |
24 | 2063 | 2297.19786708301 | -234.197867083008 |
25 | 2565 | 2122.3506862433 | 442.649313756703 |
26 | 2442 | 2462.38812139268 | -20.3881213926834 |
27 | 2194 | 2724.89895206661 | -530.898952066612 |
28 | 2798 | 1981.46673844262 | 816.533261557376 |
29 | 2074 | 2632.318435032 | -558.318435032004 |
30 | 2628 | 2614.63718520612 | 13.3628147938798 |
31 | 2289 | 2132.44861528872 | 156.551384711278 |
32 | 2154 | 2166.66044747741 | -12.6604474774076 |
33 | 2468 | 2256.80734032475 | 211.192659675246 |
34 | 2137 | 2558.03662646662 | -421.036626466621 |
35 | 1850 | 1741.73513336014 | 108.264866639858 |
36 | 2078 | 2071.0033483051 | 6.99665169489526 |
37 | 1791 | 2126.68837303114 | -335.688373031138 |
38 | 1755 | 1722.79553762838 | 32.2044623716238 |
39 | 2232 | 2035.57402941259 | 196.425970587406 |
40 | 1954 | 1987.3144069069 | -33.3144069069015 |
41 | 1822 | 1825.88704177191 | -3.88704177191335 |
42 | 2522 | 2338.12783400052 | 183.872165999476 |
43 | 2074 | 2018.91103061488 | 55.0889693851236 |
44 | 2366 | 1956.14572374716 | 409.854276252837 |
45 | 2173 | 2450.12953477599 | -277.129534775994 |
46 | 2094 | 2284.62353570514 | -190.623535705144 |
47 | 1833 | 1688.54942700857 | 144.450572991429 |
48 | 1858 | 2052.40371272102 | -194.403712721019 |
49 | 2040 | 1915.59153458442 | 124.408465415582 |
50 | 2133 | 1951.45636647184 | 181.543633528163 |
51 | 2921 | 2406.97229971416 | 514.027700285838 |
52 | 3252 | 2662.27441488749 | 589.725585112512 |
53 | 3318 | 3096.34475941711 | 221.655240582889 |
54 | 3556 | 3824.15744798497 | -268.157447984967 |
55 | 2305 | 3072.8935797619 | -767.893579761904 |
56 | 1618 | 2223.52672341335 | -605.526723413355 |
57 | 1314 | 1747.01575484008 | -433.015754840077 |
58 | 1501 | 1432.51468610195 | 68.4853138980548 |
59 | 1414 | 1084.09518781396 | 329.904812186041 |
60 | 1661 | 1625.20547009579 | 35.7945299042058 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
61 | 1708.41532587041 | 1081.64175081749 | 2335.18890092333 |
62 | 1625.37132820141 | 758.350290321639 | 2492.39236608119 |
63 | 1907.36899719908 | 853.51613941123 | 2961.22185498693 |
64 | 1671.36666619675 | 459.143002177141 | 2883.59033021636 |
65 | 1541.78100186109 | 189.60994117733 | 2893.95206254484 |
66 | 2057.73700419209 | 578.802609740415 | 3536.67139864376 |
67 | 1562.77633985642 | -32.8825550310892 | 3158.43523474394 |
68 | 1447.35734218743 | -257.050964109849 | 3151.7656484847 |
69 | 1549.6050111851 | -257.018369687811 | 3356.228392058 |
70 | 1648.97768018276 | -254.379460781104 | 3552.33482114663 |
71 | 1235.10034918043 | -760.306569670872 | 3230.50726803174 |
72 | 1460.88968484477 | -622.503973958378 | 3544.28334364792 |