Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.0105300001851509 |
beta | 0.669962231629128 |
gamma | 0.230183992455485 |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
13 | 652586 | 636418.067307692 | 16167.9326923079 |
14 | 913831 | 896192.363358115 | 17638.6366418853 |
15 | 1108544 | 1102247.28958739 | 6296.71041261102 |
16 | 1555827 | 1548352.33174957 | 7474.66825042525 |
17 | 1699283 | 1690465.5510349 | 8817.44896510453 |
18 | 1509458 | 1506785.40594664 | 2672.59405336319 |
19 | 3268975 | 2977855.78489076 | 291119.215109236 |
20 | 2425016 | 2665014.05790692 | -239998.057906924 |
21 | 1312703 | 1330826.92605923 | -18123.9260592323 |
22 | 1365498 | 1308398.97828922 | 57099.0217107756 |
23 | 934453 | 952598.069779982 | -18145.0697799816 |
24 | 775019 | 899782.207905665 | -124763.207905665 |
25 | 651142 | 675561.942234268 | -24419.9422342679 |
26 | 843192 | 935001.614313876 | -91809.6143138763 |
27 | 1146766 | 1136306.48532364 | 10459.5146763599 |
28 | 1652601 | 1581738.69477949 | 70862.3052205064 |
29 | 1465906 | 1724287.43985795 | -258381.43985795 |
30 | 1652734 | 1533971.35068594 | 118762.649314062 |
31 | 2922334 | 3070356.99921253 | -148022.999212531 |
32 | 2702805 | 2627221.92874264 | 75583.0712573645 |
33 | 1458956 | 1344416.46037674 | 114539.539623259 |
34 | 1410363 | 1338978.6579186 | 71384.3420813992 |
35 | 1019279 | 964751.755333151 | 54527.2446668491 |
36 | 936574 | 887491.638270201 | 49082.3617297986 |
37 | 708917 | 688256.461969502 | 20660.5380304984 |
38 | 885295 | 933440.476482122 | -48145.4764821216 |
39 | 1099663 | 1159424.32816186 | -59761.3281618634 |
40 | 1576220 | 1618305.43853743 | -42085.4385374265 |
41 | 1487870 | 1684310.4022016 | -196440.402201597 |
42 | 1488635 | 1580616.08870386 | -91981.0887038573 |
43 | 2882530 | 3052603.87095762 | -170073.870957623 |
44 | 2677026 | 2658594.00170914 | 18431.9982908643 |
45 | 1404398 | 1382085.12363557 | 22312.8763644323 |
46 | 1344370 | 1363222.16808053 | -18852.1680805301 |
47 | 936865 | 980944.136344243 | -44079.1363442433 |
48 | 872705 | 897448.364451787 | -24743.3644517865 |
49 | 628151 | 686484.423503342 | -58333.4235033424 |
50 | 953712 | 910130.063399086 | 43581.936600914 |
51 | 1160384 | 1130045.98652133 | 30338.013478674 |
52 | 1400618 | 1590149.14032944 | -189531.140329436 |
53 | 1661511 | 1614652.83872009 | 46858.1612799126 |
54 | 1495347 | 1534235.77597528 | -38888.7759752774 |
55 | 2918786 | 2986294.3939747 | -67508.3939746995 |
56 | 2775677 | 2634320.43200119 | 141356.567998813 |
57 | 1407026 | 1358878.82211077 | 48147.1778892272 |
58 | 1370199 | 1329983.36121282 | 40215.6387871804 |
59 | 964526 | 942069.53745227 | 22456.4625477302 |
60 | 850851 | 863635.614841634 | -12784.6148416336 |
61 | 683118 | 645188.798903973 | 37929.2010960269 |
62 | 847224 | 893781.123067276 | -46557.1230672763 |
63 | 1073256 | 1109816.3202504 | -36560.3202504017 |
64 | 1514326 | 1518750.53056858 | -4424.53056857688 |
65 | 1503734 | 1599962.26613262 | -96228.2661326197 |
66 | 1507712 | 1498418.13596684 | 9293.86403316399 |
67 | 2865698 | 2944714.99113471 | -79016.991134706 |
68 | 2788128 | 2640359.0526011 | 147768.947398896 |
69 | 1391596 | 1343968.91022198 | 47627.0897780184 |
70 | 1366378 | 1313471.14544547 | 52906.8545545335 |
71 | 946295 | 921945.321431842 | 24349.6785681581 |
72 | 859626 | 835817.371189328 | 23808.6288106719 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
73 | 629877.173186633 | 446566.486978015 | 813187.859395251 |
74 | 859130.609839352 | 675791.583994331 | 1042469.63568437 |
75 | 1078564.49881316 | 895169.846023718 | 1261959.15160261 |
76 | 1496092.43584566 | 1312605.77898814 | 1679579.09270319 |
77 | 1557362.23652206 | 1373738.14534292 | 1740986.3277012 |
78 | 1482464.69636205 | 1298648.74420827 | 1666280.64851583 |
79 | 2910083.99726205 | 2726012.8419882 | 3094155.1525359 |
80 | 2660304.3537054 | 2475905.84661027 | 2844702.86080053 |
81 | 1340598.85886031 | 1155792.18512805 | 1525405.53259256 |
82 | 1311515.08550611 | 1126210.93914221 | 1496819.23187001 |
83 | 913267.708003758 | 727368.503663007 | 1099166.91234451 |
84 | 826928.088856162 | 640328.212261376 | 1013527.96545095 |