Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.0775686079515321 |
beta | 0.141640000501599 |
gamma | 0.670983617686526 |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
13 | 65914.6 | 67882.8211538462 | -1968.22115384619 |
14 | 59189.9 | 60840.47026691 | -1650.57026690995 |
15 | 66211.4 | 67781.3746025152 | -1569.97460251523 |
16 | 66400.8 | 67894.4482735782 | -1493.64827357818 |
17 | 60167.7 | 61290.5070304832 | -1122.80703048316 |
18 | 64547.9 | 65531.5536835978 | -983.65368359779 |
19 | 57706.2 | 56242.4995444508 | 1463.70045554917 |
20 | 58642.6 | 58333.6105024026 | 308.989497597358 |
21 | 60082.1 | 64141.0969500315 | -4058.99695003153 |
22 | 63414.8 | 63023.1526432903 | 391.647356709655 |
23 | 66044 | 62824.5332446759 | 3219.46675532407 |
24 | 57628.5 | 62588.4272212497 | -4959.92722124972 |
25 | 62838.8 | 61197.347055258 | 1641.45294474201 |
26 | 55758.6 | 54534.7579067309 | 1223.8420932691 |
27 | 61004.5 | 61683.2493009422 | -678.749300942232 |
28 | 66173.4 | 61857.2262541424 | 4316.17374585757 |
29 | 57489 | 55941.8344356091 | 1547.1655643909 |
30 | 59552.2 | 60513.8112049269 | -961.611204926929 |
31 | 57061.8 | 52779.1624848204 | 4282.63751517962 |
32 | 55895.3 | 54443.1521958585 | 1452.14780414152 |
33 | 56314.7 | 57717.2762321708 | -1402.5762321708 |
34 | 61232.8 | 59670.707936096 | 1562.092063904 |
35 | 60014.1 | 61436.6335907519 | -1422.5335907519 |
36 | 57685.4 | 55850.444039921 | 1834.95596007899 |
37 | 60403.1 | 59219.4360586351 | 1183.66394136492 |
38 | 52349.7 | 52405.0010665963 | -55.3010665962938 |
39 | 55693.3 | 58404.7731654094 | -2711.47316540936 |
40 | 65676.1 | 61618.3658799707 | 4057.73412002931 |
41 | 54898.8 | 54071.9998767351 | 826.800123264853 |
42 | 55518.2 | 57130.3236761668 | -1612.12367616685 |
43 | 53779.1 | 52678.9226391937 | 1100.17736080632 |
44 | 52340.9 | 52397.046114724 | -56.1461147239534 |
45 | 55704.4 | 53823.5958047275 | 1880.80419527246 |
46 | 60330.3 | 57939.0440372382 | 2391.25596276176 |
47 | 52837.4 | 58003.4916354791 | -5166.09163547907 |
48 | 55388.1 | 54183.4665800441 | 1204.63341995594 |
49 | 60383.4 | 57133.9001922602 | 3249.49980773985 |
50 | 52070.3 | 49769.0088337006 | 2301.29116629938 |
51 | 54077 | 54389.6085942253 | -312.608594225334 |
52 | 62887.8 | 62087.3738016488 | 800.426198351226 |
53 | 49212.8 | 52361.200446708 | -3148.40044670802 |
54 | 57722 | 53630.5600598703 | 4091.43994012966 |
55 | 53936.8 | 51391.9074259386 | 2544.89257406144 |
56 | 46991 | 50613.866840064 | -3622.86684006401 |
57 | 54984.2 | 53030.8750428926 | 1953.32495710743 |
58 | 56485.1 | 57536.9576520233 | -1051.85765202333 |
59 | 51277.8 | 52688.0535885619 | -1410.25358856188 |
60 | 53596.4 | 53174.9447240306 | 421.455275969405 |
61 | 54252.5 | 57394.173539077 | -3141.67353907702 |
62 | 49413 | 48940.3314044521 | 472.668595547941 |
63 | 53213.2 | 51774.8435729036 | 1438.35642709644 |
64 | 58695.3 | 60290.1576265646 | -1594.85762656457 |
65 | 48723.5 | 47900.6277648954 | 822.872235104638 |
66 | 54510 | 53969.1802079779 | 540.819792022077 |
67 | 49454.1 | 50469.0328443371 | -1014.93284433713 |
68 | 46136.6 | 45529.4362067718 | 607.163793228196 |
69 | 54622.5 | 51704.3695499936 | 2918.13045000644 |
70 | 50583 | 54414.3738982551 | -3831.37389825513 |
71 | 53224.3 | 49086.6041996828 | 4137.69580031715 |
72 | 53056.4 | 51157.0694026702 | 1899.33059732983 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
73 | 53321.3382965011 | 48761.1131486803 | 57881.5634443219 |
74 | 47418.5094364662 | 42840.4384200492 | 51996.5804528833 |
75 | 50879.1338343962 | 46278.613075513 | 55479.6545932794 |
76 | 57454.7843500648 | 52826.7345494586 | 62082.8341506711 |
77 | 46752.1828967761 | 42091.076178765 | 51413.2896147872 |
78 | 52640.0896489957 | 47939.9806730561 | 57340.1986249353 |
79 | 48186.8937696138 | 43441.4547912524 | 52932.3327479752 |
80 | 44392.963503145 | 39595.5228870434 | 49190.4041192467 |
81 | 52007.4353384743 | 47151.0188631171 | 56863.8518138315 |
82 | 50337.8038692353 | 45415.1780311231 | 55260.4297073476 |
83 | 50305.9031508743 | 45309.6195882438 | 55302.1867135048 |
84 | 50690.8750551609 | 45613.315172303 | 55768.4349380187 |