Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.570561730922535 |
beta | 0.0317962765371711 |
gamma | 1 |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
13 | 1505713 | 1167726.14903846 | 337986.850961538 |
14 | 1415151 | 1277413.81662595 | 137737.183374055 |
15 | 1545021 | 1495210.64589795 | 49810.3541020476 |
16 | 1681193 | 1665166.39602192 | 16026.6039780800 |
17 | 1457973 | 1459501.18165776 | -1528.18165776460 |
18 | 1638575 | 1632388.07120978 | 6186.92879022006 |
19 | 1688972 | 1665078.6075113 | 23893.3924886987 |
20 | 1563924 | 1675604.82540275 | -111680.825402748 |
21 | 1596359 | 1537761.66519362 | 58597.3348063775 |
22 | 1722061 | 1709511.51434114 | 12549.4856588582 |
23 | 1549332 | 1618822.22579524 | -69490.2257952369 |
24 | 2264959 | 1878657.7939676 | 386301.206032401 |
25 | 1420268 | 2606118.88249658 | -1185850.88249658 |
26 | 1415099 | 1748078.10687168 | -332979.106871677 |
27 | 1597279 | 1638713.39982424 | -41434.3998242447 |
28 | 1605693 | 1719615.32194655 | -113922.321946545 |
29 | 1575400 | 1407424.99918752 | 167975.000812479 |
30 | 1654752 | 1658569.63649736 | -3817.63649735716 |
31 | 1553966 | 1671206.83851959 | -117240.838519592 |
32 | 1570959 | 1518477.14217451 | 52481.8578254941 |
33 | 1642414 | 1525891.71588907 | 116522.284110931 |
34 | 1664774 | 1690436.30587636 | -25662.3058763589 |
35 | 1551560 | 1521540.30152900 | 30019.6984710027 |
36 | 2304365 | 2014518.45271201 | 289846.547287987 |
37 | 1644081 | 1990685.82219720 | -346604.822197204 |
38 | 1425600 | 1971849.78273390 | -546249.782733903 |
39 | 1569344 | 1856239.61547470 | -286895.615474703 |
40 | 1456489 | 1751746.75192061 | -295257.751920608 |
41 | 1610786 | 1439646.20894040 | 171139.791059598 |
42 | 1601519 | 1601374.97468156 | 144.025318435859 |
43 | 1496600 | 1550188.91024660 | -53588.9102466037 |
44 | 1486452 | 1490441.37032732 | -3989.37032732344 |
45 | 1637939 | 1475891.92702859 | 162047.072971410 |
46 | 1605759 | 1588932.50880658 | 16826.4911934154 |
47 | 1504221 | 1452542.58394701 | 51678.4160529862 |
48 | 1993384 | 2054202.50385244 | -60818.503852441 |
49 | 1507620 | 1535360.10774845 | -27740.1077484528 |
50 | 1477037 | 1596888.51312674 | -119851.513126736 |
51 | 1679184 | 1827844.71895860 | -148660.718958596 |
52 | 1504731 | 1793043.43084426 | -288312.430844256 |
53 | 1570141 | 1679731.63104864 | -109590.631048643 |
54 | 1734191 | 1597298.35285094 | 136892.647149056 |
55 | 1657498 | 1592985.81497687 | 64512.1850231325 |
56 | 1652164 | 1615989.71519410 | 36174.2848059025 |
57 | 1610941 | 1690454.69205969 | -79513.6920596892 |
58 | 1813765 | 1593720.51085287 | 220044.489147129 |
59 | 1711573 | 1582346.31724677 | 129226.682753228 |
60 | 2165466 | 2175449.25655232 | -9983.2565523237 |
61 | 1492778 | 1696246.30475591 | -203468.304755910 |
62 | 1385488 | 1611196.41682829 | -225708.416828286 |
63 | 1470589 | 1760704.17413304 | -290115.174133042 |
64 | 1514657 | 1573977.59322021 | -59320.5932202067 |
65 | 1641395 | 1660979.05849022 | -19584.0584902212 |
66 | 1606185 | 1730291.61965435 | -124106.619654351 |
67 | 1581162 | 1535787.14868838 | 45374.8513116229 |
68 | 1517847 | 1525162.65604943 | -7315.65604942641 |
69 | 1630080 | 1513804.12551696 | 116275.874483040 |
70 | 1604623 | 1649644.7213236 | -45021.7213236007 |
71 | 1548973 | 1435447.48459165 | 113525.515408353 |
72 | 2125558 | 1946939.25114092 | 178618.748859081 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
73 | 1482806.4579273 | 1037968.42248131 | 1927644.49337329 |
74 | 1498539.26782313 | 982340.851678332 | 2014737.68396793 |
75 | 1747505.85174281 | 1164983.20338478 | 2330028.50010084 |
76 | 1829020.07373594 | 1183553.86624906 | 2474486.28122281 |
77 | 1971608.32838715 | 1265582.10616038 | 2677634.55061392 |
78 | 2012240.44532605 | 1247386.14912835 | 2777094.74152375 |
79 | 1968611.43068087 | 1146210.01835388 | 2791012.84300785 |
80 | 1915930.42442828 | 1036937.11023477 | 2794923.73862179 |
81 | 1968413.5393073 | 1033540.37209177 | 2903286.70652283 |
82 | 1973127.44312561 | 982900.138758262 | 2963354.74749296 |
83 | 1858004.13341973 | 812802.560912754 | 2903205.70592671 |
84 | 2335916.56554240 | 1236004.41836064 | 3435828.71272416 |