Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.799748250351652 |
beta | 0 |
gamma | 1 |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
13 | 1015407 | 990882.96814179 | 24524.0318582107 |
14 | 1039210 | 1036047.57154225 | 3162.42845775408 |
15 | 1258049 | 1259294.85702845 | -1245.85702844826 |
16 | 1469445 | 1470437.25201058 | -992.25201058248 |
17 | 1552346 | 1552927.33288122 | -581.332881218055 |
18 | 1549144 | 1549955.31444310 | -811.31444310327 |
19 | 1785895 | 1820892.99602625 | -34997.996026248 |
20 | 1662335 | 1684184.76104171 | -21849.7610417139 |
21 | 1629440 | 1612683.10623486 | 16756.8937651436 |
22 | 1467430 | 1442504.48513985 | 24925.5148601532 |
23 | 1202209 | 1194386.26576525 | 7822.73423475004 |
24 | 1076982 | 1069000.80018925 | 7981.19981075241 |
25 | 1039367 | 1057828.32166223 | -18461.3216622269 |
26 | 1063449 | 1064836.51853100 | -1387.51853099861 |
27 | 1335135 | 1288665.55914969 | 46469.4408503058 |
28 | 1491602 | 1549230.75612511 | -57628.7561251118 |
29 | 1591972 | 1588321.06830799 | 3650.93169201491 |
30 | 1641248 | 1588516.20686322 | 52731.7931367804 |
31 | 1898849 | 1908985.60830716 | -10136.6083071560 |
32 | 1798580 | 1787611.58218121 | 10968.4178187922 |
33 | 1762444 | 1745956.82395497 | 16487.1760450257 |
34 | 1622044 | 1562321.03713724 | 59722.9628627566 |
35 | 1368955 | 1311888.10485781 | 57066.8951421913 |
36 | 1262973 | 1208527.13391502 | 54445.8660849752 |
37 | 1195650 | 1224981.68371554 | -29331.6837155405 |
38 | 1269530 | 1230192.33584417 | 39337.6641558325 |
39 | 1479279 | 1538916.47732906 | -59637.4773290628 |
40 | 1607819 | 1716587.54572995 | -108768.545729950 |
41 | 1712466 | 1735665.70761836 | -23199.7076183553 |
42 | 1721766 | 1724140.05097383 | -2374.05097382911 |
43 | 1949843 | 2000805.44613200 | -50962.4461319959 |
44 | 1821326 | 1847330.30510845 | -26004.3051084459 |
45 | 1757802 | 1776349.21317027 | -18547.2131702679 |
46 | 1590367 | 1573099.38365608 | 17267.6163439204 |
47 | 1260647 | 1294347.44433739 | -33700.4443373862 |
48 | 1149235 | 1128830.37046052 | 20404.629539483 |
49 | 1016367 | 1105536.02568602 | -89169.025686017 |
50 | 1027885 | 1071140.40527100 | -43255.4052710028 |
51 | 1262159 | 1247076.44300132 | 15082.5569986831 |
52 | 1520854 | 1442198.38098714 | 78655.6190128594 |
53 | 1544144 | 1620660.96425899 | -76516.9642589898 |
54 | 1564709 | 1570049.97072102 | -5340.97072102036 |
55 | 1821776 | 1810514.99950480 | 11261.0004951961 |
56 | 1741365 | 1719258.75782731 | 22106.2421726948 |
57 | 1623386 | 1690684.44399885 | -67298.4439988541 |
58 | 1498658 | 1468340.02406611 | 30317.9759338873 |
59 | 1241822 | 1208501.21322000 | 33320.7867800028 |
60 | 1136029 | 1110004.91170445 | 26024.0882955454 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
61 | 1069081.91111003 | 990368.037593668 | 1147795.78462640 |
62 | 1117130.61927908 | 1014658.47305709 | 1219602.76550106 |
63 | 1358299.28903228 | 1222817.96339207 | 1493780.61467248 |
64 | 1567986.60339311 | 1401946.62963521 | 1734026.57715102 |
65 | 1654337.31365249 | 1469257.34622924 | 1839417.28107573 |
66 | 1680635.15084217 | 1482963.29726157 | 1878307.00442277 |
67 | 1946693.28519617 | 1711380.62943185 | 2182005.94096049 |
68 | 1841506.29255574 | 1610195.01760604 | 2072817.56750544 |
69 | 1772931.28166261 | 1541677.12045156 | 2004185.44287366 |
70 | 1609748.60061855 | 1390140.55671210 | 1829356.64452501 |
71 | 1304850.84413515 | 1114419.23775206 | 1495282.45051825 |
72 | 1171568.13492412 | 1006354.46012743 | 1336781.80972081 |