Topik Dalam Statistika I (Model SARIMA)

Pendahuluan

Penjelasan teori SARIMA.

Library

library(forecast)
## Warning: package 'forecast' was built under R version 4.5.3
library(tseries)
## Warning: package 'tseries' was built under R version 4.5.3
## Registered S3 method overwritten by 'quantmod':
##   method            from
##   as.zoo.data.frame zoo

Membaca Data

# Membaca data CSV
data2 <- read.csv("Walmart.csv")

# Melihat struktur data
str(data2)
## 'data.frame':    6435 obs. of  8 variables:
##  $ Store       : int  1 1 1 1 1 1 1 1 1 1 ...
##  $ Date        : chr  "05-02-2010" "12-02-2010" "19-02-2010" "26-02-2010" ...
##  $ Weekly_Sales: num  1643691 1641957 1611968 1409728 1554807 ...
##  $ Holiday_Flag: int  0 1 0 0 0 0 0 0 0 0 ...
##  $ Temperature : num  42.3 38.5 39.9 46.6 46.5 ...
##  $ Fuel_Price  : num  2.57 2.55 2.51 2.56 2.62 ...
##  $ CPI         : num  211 211 211 211 211 ...
##  $ Unemployment: num  8.11 8.11 8.11 8.11 8.11 ...
# Melihat nama kolom
names(data2)
## [1] "Store"        "Date"         "Weekly_Sales" "Holiday_Flag" "Temperature" 
## [6] "Fuel_Price"   "CPI"          "Unemployment"
# Melihat data awal
head(data2)
##   Store       Date Weekly_Sales Holiday_Flag Temperature Fuel_Price      CPI
## 1     1 05-02-2010      1643691            0       42.31      2.572 211.0964
## 2     1 12-02-2010      1641957            1       38.51      2.548 211.2422
## 3     1 19-02-2010      1611968            0       39.93      2.514 211.2891
## 4     1 26-02-2010      1409728            0       46.63      2.561 211.3196
## 5     1 05-03-2010      1554807            0       46.50      2.625 211.3501
## 6     1 12-03-2010      1439542            0       57.79      2.667 211.3806
##   Unemployment
## 1        8.106
## 2        8.106
## 3        8.106
## 4        8.106
## 5        8.106
## 6        8.106

#Membentuk Data Time Series

Data yang telah diinput sebelumnya masih berbentuk data frame sehingga perlu diubah ke dalam bentuk time series menggunakan fungsi ts().

# Membentuk data time series
data.ts <- ts(data2$Weekly_Sales,
              start = c(2010,1),
              frequency = 12)

# Menampilkan data time series
data.ts
##            Jan       Feb       Mar       Apr       May       Jun       Jul
## 2010 1643690.9 1641957.4 1611968.2 1409727.6 1554806.7 1439541.6 1472515.8
## 2011 1425100.7 1603955.1 1494251.5 1399662.1 1432069.9 1615524.7 1542561.1
## 2012 1385065.2 1371986.6 1605491.8 1508237.8 1513080.5 1449142.9 1540163.5
## 2013 1459409.1 1345454.0 1384209.2 1551659.3 1494479.5 1483784.2 1955624.1
## 2014 1444732.3 1391014.0 1327405.4 1316899.3 1606629.6 1649614.9 1686842.8
## 2015 1495064.8 1614259.4 1559889.0 1564819.8 1455090.7 1629391.3 1604775.6
## 2016 1438830.1 1488538.1 1534849.6 1455120.0 1396926.8 1352219.8 1624383.8
## 2017 1514259.8 1380020.3 1394561.8 1630989.9 1493525.9 1502562.8 1445249.1
## 2018 1799682.4 1881176.7 2270189.0 1497462.7 1550369.9 1459601.2 1394393.8
## 2019 1688420.8 1675431.2 1677472.8 1511068.1 1649604.6 1899676.9 1621031.7
## 2020 1555444.6 1624477.6 1697231.0 1630607.0 1527845.8 1540421.5 1769854.2
## 2021 1597868.1 1494122.4 1582083.4 1661767.3 1517428.9 1506126.1 1437059.3
## 2022 2137809.5 2124451.5 1865097.3 1991013.1 1990483.8 1946070.9 1750197.8
## 2023 2042581.7 1880752.4 1896937.1 1957113.9 2102539.9 2025538.8 2001637.0
## 2024 1804246.2 1991910.0 1895601.1 1964335.2 1863840.5 1904608.1 1839128.8
## 2025 1737947.6 1802755.1 1939061.4 1916812.7 1956739.2 2658725.3 2015781.3
## 2026 1744193.6 1751384.9 1695371.7 1929346.2 2168041.6 2080884.8 1833511.1
## 2027 1847552.6 1856467.8 1886339.6 1745545.3 1837743.6 1838513.1 1688281.9
## 2028 1866243.0 1853162.0 1785187.3 1743816.4 1680693.1 1876704.3 1812768.3
## 2029 1669299.8 1650394.4 1837553.4 1743882.2 1834680.2 1769296.2 1959707.9
## 2030 2432736.5 3224369.8 1874226.5 1799520.1 1744725.5 1711769.1 1660906.1
## 2031 1937628.3 1976082.1 1790439.2 1857480.8 2129035.9 1935869.1 1847344.4
## 2032 1910092.4 2010216.5 1962924.3 1887733.2 1881046.1 2041507.4 1830075.1
## 2033 1876788.1 1947083.3 1898777.1 1814806.6 1829415.7 1746470.6 1998321.0
## 2034  421642.2  407204.9  415202.0  384200.7  375328.6  359949.3  423294.4
## 2035  384357.9  343763.2  350089.2  396968.8  355017.1  364076.8  357346.5
## 2036  402635.8  339597.4  351728.2  362134.1  366474.0  352261.0  363064.6
## 2037  348591.7  423175.6  386635.0  372545.3  565567.8  476420.8  467642.0
## 2038  350876.7  364866.2  438516.5  430526.2  432782.1  397211.2  437084.5
## 2039  366250.7  391860.0  367405.4  413042.1  386312.7  364603.1  369350.6
## 2040  395146.2  373454.3  360617.4  345381.3  409981.2  380376.8  379716.9
## 2041  368477.9  403342.4  368282.6  394976.4  389540.6  459443.2  407764.2
## 2042  551221.2  410553.9  398178.2  367438.6  365818.6  349518.1  424960.7
## 2043  411775.8  413907.2  407488.8  503232.1  420789.7  434822.1  394616.1
## 2044  446336.8  442074.8  419498.0  422965.3  411206.5  416913.1  432424.8
## 2045  408838.7  408229.7  407589.2  414392.1  389813.0  443557.7  410804.4
## 2046 1925728.8 1971057.4 1894324.1 1897429.4 1762539.3 1979247.1 1818452.7
## 2047 1903752.6 1857533.7 1903290.6 1870619.2 1929736.4 1846651.9 1881337.2
## 2048 2007050.8 1997181.1 1848403.9 1935857.6 1865820.8 1899959.6 1810684.7
## 2049 2013115.8 1999794.3 2097809.4 2789469.5 2102530.2 2302504.9 2740057.1
## 2050 1814240.9 2119086.0 2187847.3 2316495.6 2078094.7 2103455.8 2039818.4
## 2051 2220600.8 1878167.4 2063682.8 2002362.4 2015563.5 1986597.9 2065377.1
## 2052 2049046.9 2036231.4 1989674.1 2160057.4 2105668.7 2232892.1 1988490.2
## 2053 2166737.6 2074548.9 2207742.1 2151659.6 2281217.3 2203029.0 2243946.6
## 2054 2007105.9 2047766.1 1941676.6 2005097.8 1928720.5 2173373.9 2374660.6
## 2055 2091592.5 2089381.8 2470206.1 2105301.4 2144336.9 2064065.7 2196968.3
## 2056 2234190.9 2197299.6 2128362.9 2224499.3 2100252.6 2175563.7 2048613.6
## 2057 2125104.7 2117854.6 2119438.5 2027620.2 2209835.4 2133026.1 2097266.9
## 2058  288855.7  297293.6  281706.4  273283.0  331406.0  328020.5  306858.7
## 2059  310013.1  337825.9  296641.9  313795.6  295257.3  305993.3  291808.9
## 2060  287205.4  288519.8  323798.0  306533.1  282558.7  293131.6  283178.1
## 2061  301827.4  297384.8  488362.6  344490.9  352811.5  367801.2  466010.2
## 2062  329613.2  311590.5  356622.6  294659.5  329033.7  293098.1  312177.7
## 2063  307291.6  322904.7  290930.0  299614.3  297149.7  329183.9  304984.1
## 2064  292539.7  275142.2  317738.6  289886.2  303643.8  310338.2  315645.5
## 2065  286117.7  306069.2  307035.1  353652.2  311906.7  307944.4  507900.1
## 2066  312078.7  291454.5  287524.0  295974.2  333948.0  349239.9  356428.0
## 2067  331318.7  402985.7  351832.0  330063.1  324839.7  360932.7  333870.5
## 2068  325041.7  329658.1  341214.4  316203.6  321205.1  306827.4  324195.2
## 2069  299800.7  307306.8  310141.7  343048.3  325345.4  313358.2  319550.8
## 2070 1558621.4 1693058.9 1472033.4 1770333.9 1667181.8 1519846.4 1540436.0
## 2071 1857380.1 1685652.4 1677248.2 1640681.9 1759777.2 1690318.0 1560120.8
## 2072 1450766.1 1510925.3 1424225.4 1308537.8 1275591.8 1328468.9 1360317.9
## 2073 1518841.4 2267452.4 1677067.2 1834737.6 2090268.9 2727575.2 1464050.0
## 2074 1486920.2 1572117.5 1422600.4 1502618.0 1494497.4 1685375.5 1438465.8
## 2075 1504651.6 1453185.6 1382783.8 1523979.1 1705506.3 1598643.6 1622150.3
## 2076 1483991.1 1601584.6 1484995.4 1493544.0 1420405.4 1481618.7 1483574.4
## 2077 1417922.4 1419445.1 1523420.4 1536176.5 1524390.1 2249811.5 1688531.3
## 2078 1344243.2 1326255.7 1315610.7 1496305.8 1620603.9 1632616.1 1465187.7
## 2079 1840131.2 1616394.4 1456073.2 1456221.1 1543461.1 1517075.7 1513635.6
## 2080 1648863.5 1876359.4 1588142.3 1574362.0 1513229.2 1627274.9 1588380.7
## 2081 1425603.6 1369131.5 1518177.7 1459396.8 1436884.0 1431426.3  496725.4
## 2082  574450.2  514731.6  561145.1  484263.2  406228.2  404751.2  373655.6
## 2083  498580.9  481144.1  553714.9  575570.8  593462.3  557166.3  570231.2
## 2084  532765.1  535769.3  489408.5  488008.8  448998.7  480239.9  463370.5
## 2085  835189.3  552811.6  599730.1  716388.8 1045124.9  729572.1  661163.9
## 2086  572387.5  546690.8  551378.4  558963.8  635014.7  559061.6  513409.7
## 2087  414094.0  424671.0  457216.9  542295.4  621099.9  610991.3  640044.0
## 2088  695392.8  670670.5  645156.2  629994.5  592355.2  613135.2  558981.4
## 2089  527339.5  564536.0  556015.6  539826.6  949075.9  591907.9  653845.4
## 2090  578002.8  541038.0  580453.3  563460.8  620908.2  603041.1  551058.1
## 2091  517420.2  457340.1  467827.8  465198.9  460397.4  468428.3  532739.8
## 2092  805642.6  694150.9  686345.7  686365.4  680954.8  675926.3  642450.4
## 2093  525545.8  505830.6  503463.9  516424.8  495543.3 1004137.1  994801.4
## 2094  772539.1  914500.9  916033.9  882917.1  850440.3  778672.6  916821.0
## 2095  869922.6  814919.1  852333.8  845289.8  848630.6  785515.9  787295.1
## 2096  831425.2  836707.8  773725.1  804105.5  870349.9  826547.0  836419.1
## 2097  952766.9 1069061.6 1220579.6 1511641.1  773586.5  873065.2  809646.7
## 2098  917317.2  935266.4  900387.3  898289.1  827968.4  878762.3  949825.8
## 2099  836049.9  857939.4  929222.2  897309.4  922048.4  864881.2  883683.3
## 2100  856796.1  895066.5  912542.8  891387.1  848358.1  870971.8  806444.3
## 2101  947815.1  917088.5  897032.2 1235163.9  986601.5 1051922.9 1118163.9
## 2102  778178.5  927610.7 1021400.4 1096232.9  928537.5  952264.9  960115.6
## 2103  872288.5  879448.2  937232.1  920128.9  913922.0  895157.4  921161.2
## 2104  890488.0  888834.1  838227.5  897076.7  930745.7  896613.2  936373.7
## 2105  976436.0  927512.0  900309.8  891671.4  549505.6  552677.5  511327.9
## 2106  545206.3  529384.3  485764.3  488683.6  491723.4  526128.6  492792.8
## 2107  509263.3  528832.5  485389.2  474030.5  462676.5  468675.2  522815.5
## 2108  463448.6  452905.2  495692.2  505069.2  454769.7  466322.8  508801.6
## 2109  618121.8  685243.2  873347.6  459770.8  490981.8  458086.7  454021.7
## 2110  542016.2  517783.5  515226.1  497488.4  520962.1  561625.9  528420.3
## 2111  553834.0  587004.3  550076.3  558671.1  538745.9  537064.0  535983.1
## 2112  540819.4  542663.5  544643.3  528784.9  500274.0  506743.8  508567.0
## 2113  594574.1  542414.3  814753.5  613115.2  630327.3  705558.0  905324.7
## 2114  549967.9  609736.1  658965.1  563578.8  619498.3  574955.9  550373.6
## 2115  550415.0  586289.1  592572.3  571463.9  547226.0  583648.6  582525.4
## 2116  513991.6  495951.0  533887.5  538713.5  535153.5  572887.8  576879.2
## 2117  558464.8  542009.5  549731.5 2193048.8 2176028.5 2113432.6 2006775.0
## 2118 2041069.4 1826241.4 1829521.8 1790694.6 1921432.2 1808056.4 1847613.6
## 2119 1845893.9 1769793.4 1828052.5 1831676.0 1832664.0 1949236.1 1962996.7
## 2120 1655036.8 1645893.0 1772192.4 1703850.2 1740234.1 1741308.6 1832212.0
## 2121 2811646.9 3749057.7 1707298.1 1714309.9 1710803.6 1677556.2 1715769.1
## 2122 1933469.1 1884734.3 1815798.9 1827733.2 1870720.7 1781767.2 2004831.1
## 2123 1792210.9 1740063.1 1817934.8 1711813.1 1751369.8 1699708.4 1775068.4
## 2124 1728399.1 1758587.4 1670579.8 1650894.3 1685910.5 1627707.3 1788227.6
## 2125 1869087.9 2950198.6 2068097.2 2429310.9 2555031.2 3487986.9 1930690.4
## 2126 2218595.8 2168709.8 2039415.7 1990371.0 1917483.1 1930814.7 1837457.7
## 2127 1821364.4 1792345.3 1795152.7 1830939.1 1767471.5 1840491.4 1811562.9
## 2128 1817603.7 1939440.1 1880436.9 1827797.4 1764984.1 1650285.5 1708283.3
## 2129 1734834.8 1744349.1 1528008.6 1574684.1 1503298.7 1336404.6 1426622.6
## 2130 1323243.4 1283766.6 1239766.9 1312329.8 1266796.1 1271646.6 1264272.5
## 2131 1280156.5 1290609.5 1244390.0 1250178.9 1369634.9 1384339.1 1430192.4
## 2132 1182490.5 1293472.8 1175003.7 1169831.4 1195036.0 1332759.1 1281675.6
## 2133 2306265.4 1172003.1 1178905.4 1194449.8 1187776.2 1100418.7 1422546.1
## 2134 1391813.7 1229777.2 1258674.1 1327401.1 1312905.8 1388118.5 1357589.9
## 2135 1314626.8 1337506.7 1254587.8 1297472.1 1334628.0 1266546.7 1290576.4
## 2136 1297792.4 1249439.9 1270816.0 1235775.1 1190515.8 1346271.1 1286389.0
## 2137 1848953.5 1399322.4 1646655.9 1783910.1 2213518.5 1352084.2 1283885.6
## 2138 1569607.9 1379473.0 1438383.4 1413382.8 1441884.3 1300593.6 1300104.0
## 2139 1300147.1 1352442.3 1297335.9 1361595.3 1414343.5 1417875.4 1355680.3
## 2140 1399341.1 1388973.6 1421307.2 1409515.7 1372872.4 1304584.4 1267675.1
## 2141 1200729.4 1100046.4 1117863.3 1095421.6 1048617.2 1077018.3  985594.2
## 2142  993833.4  954220.2 1043240.3  966055.0  958374.6  955451.2 1049357.4
## 2143  916402.8  912403.7  913548.2  967576.9  928264.4  948447.3 1004516.5
## 2144  918335.7  862419.8  857883.5  955294.7  929690.7  942475.2  894493.7
## 2145  891736.9  910110.2  812011.8  802105.5  873119.1 1046068.2 1086421.6
## 2146  954107.3 1005463.5  998362.1  990951.8 1016019.5  994966.1 1021154.5
## 2147  986504.9  997282.8  961993.3  943717.4  936002.0  922231.9  890547.1
## 2148  922850.6  889290.2  871692.7  866401.4  951244.7  927600.0  938604.6
## 2149 1071383.1 1189646.4 1293404.2 1617612.0 1111638.1  945823.7  865467.9
## 2150 1112034.7 1147637.0 1113208.6 1088498.5 1045419.9 1025382.2 1128765.7
## 2151 1020486.1  991514.2  981345.2 1086231.5 1019555.5  981386.2  943124.7
## 2152  984689.9 1005003.1 1048101.4 1061943.5  955146.0  885892.4  922735.4
## 2153 1967220.5 2030933.5 1970274.6 1817850.3 1939980.4 1840686.9 1879794.9
## 2154 1785823.4 2005478.5 1890273.4 1853657.6 1877358.9 2022705.2 2037881.0
## 2155 1907351.2 1817887.2 1969121.4 1877592.6 1997397.6 1908278.3 1911852.6
## 2156 1851431.1 1796949.6 1887895.1 1854967.7 1939964.6 1925393.9 2766400.0
## 2157 1744544.4 1682316.3 1770177.4 1633663.1 1848186.6 1944438.9 2003480.6
## 2158 1864238.6 1887465.0 1950994.0 2124316.3 1895583.1 1986380.4 1958823.6
## 2159 2009163.1 2048035.7 2021699.4 1956813.3 1987089.4 1880785.7 2076231.8
## 2160 1923223.8 1847431.0 1835662.7 2067232.6 1929659.1 1973544.3 1948733.8
## 2161 2462779.1 2760346.7 3556766.0 1969056.9 1865752.8 1794962.6 1811606.2
## 2162 1969742.8 1986445.6 2025582.6 1904421.7 1948982.7 2271614.8 2057637.9
## 2163 2043349.4 2035431.4 2182437.9 2152229.1 2094373.0 2037663.7 2184980.4
## 2164 2095769.2 2059458.2 2073855.4 2165796.3 1919917.0 1938379.7 1927664.1
## 2165 1704218.8 2204556.7 2095591.6 2237544.8 2156035.1 2066219.3 2050396.3
## 2166 2370116.5 2129771.1 2108187.1 2227152.2 2363601.5 2249570.0 2248645.6
## 2167 2054843.3 2219813.5 2052984.8 2057138.3 2020332.1 2182563.7 2191767.8
## 2168 1936621.1 1984768.3 2078417.5 2092189.1 1968462.6 2921709.7 2258489.6
## 2169 1699095.9 1743188.9 1613718.4 1995891.9 1980405.0 2019031.7 1875708.9
## 2170 2037798.9 1974960.9 2256461.4 1930617.6 2095599.9 2004330.3 1959967.8
## 2171 2074668.2 2063401.1 1953544.8 1882070.9 1871021.0 2066020.7 1928773.8
## 2172 1871555.6 1809989.3 2078796.8 1890870.8 2009004.6 2056846.1 2174056.7
## 2173 2594363.1 3369069.0 1914148.9 1859145.0 1696248.3 1789113.3 1595362.3
## 2174 2020839.3 1941040.5 1893447.7 1905033.0 2376022.3 1912909.7 1875686.4
## 2175 2049485.5 2099615.9 1905733.7 1660228.9 1591835.0 1862128.9 1544422.4
## 2176 1621841.3 1613342.2 1904512.3 1554794.2 1565352.5 1522512.2 1687592.2
## 2177  660838.8  564883.2  605325.4  604173.6  593710.7  592111.5  718470.7
## 2178  594385.2  616598.1  744772.9  693192.5  619337.3  652329.5  672194.0
## 2179  639651.2  622437.1  637090.4  649791.2  638647.2  641965.2  583210.9
## 2180  598301.5  612987.6  619639.7  608200.8 1120018.9  754134.9  847294.0
## 2181  487311.0  481119.6  556550.8  582864.3  649993.5  547564.1  573374.5
## 2182  607691.4  655318.3  560764.4  630522.7  630482.9  593941.9  636193.2
## 2183  635118.5  624114.6  607475.4  577511.0  607961.2  590836.4  599489.0
## 2184  521297.3  579068.9  537300.9  603318.9  589842.7  615121.8  618949.8
## 2185 1182691.9  603460.8  516087.7  454183.4  492721.8  466045.6  523831.6
## 2186  570611.2  565481.9  557547.2  659950.4  558585.1  534780.6  527402.6
## 2187  611390.7  636737.7  687085.6  624099.5  678024.8  591335.5  592369.2
## 2188  610185.3  587259.8  527509.8  533161.6  553902.0  573498.6  551799.6
## 2189  443242.2  444181.8  445393.7  504307.3  483177.2  490503.7  424084.0
## 2190  435300.5  479430.0  516295.8  535587.3  540149.8  546555.0  610641.4
## 2191  543758.0  521517.0  581010.5  542087.9  537518.6  522049.5  511330.3
## 2192  446905.0  453632.8  458634.7  651837.8  512260.6  570103.6  648652.0
## 2193  448392.0  479263.2  466806.9  491179.8  475201.6  484829.1  457504.3
## 2194  368600.0  378100.3  423805.2  410407.0  435397.2  444718.7  531080.3
## 2195  586841.8  581758.2  582381.9  592981.3  563884.5  554630.4  557312.0
## 2196  482926.9  498241.1  560104.2  505918.2  511060.0  513181.3  480353.6
## 2197  665861.1  564538.1  508520.1  474389.8  453979.2  475905.1  473767.0
## 2198  493503.9  485095.4  502662.1  450756.7  436221.3  398445.2  426959.6
## 2199  570045.8  581745.7  570162.3  641763.5  569005.1  565297.5  539337.9
## 2200  537138.6  526525.2  509942.6  469607.7  471281.7  491817.2  577199.0
## 2201  783300.1  763961.8  752034.5  793097.6  848521.2  770228.0  757738.8
## 2202  872817.6  876902.9  845252.2  877996.3  893995.4  958875.4  836915.9
## 2203  783929.7  802583.9  834373.7 1200888.3  871264.2  852876.3  829207.3
## 2204  855460.0  782252.6 1005448.8  926573.8  962475.6 1049372.4 1309226.8
## 2205  816603.1  813211.5  860962.9  767256.5  816138.3  779602.4  778436.8
## 2206  806979.2  882132.3  870625.5  844443.3  892056.6  895020.5  881190.5
## 2207  899044.3  861894.8  866184.9  800819.8  797523.0  837390.8  847380.1
## 2208  884042.6  877380.2  936508.4  927657.6  914759.2  877724.3 1225700.3
## 2209 1198104.2  873577.0  809272.7  769522.3  864852.8  880165.7  927084.7
## 2210  872469.0  986922.6  877055.3 1119980.0  925916.7  930121.1  944100.3
## 2211  981210.6  982322.2 1046782.5  960746.0  944698.7  907493.2  877813.3
## 2212 1071040.2  938303.3  972716.2  952609.2  919878.3  957356.8  943465.3
## 2213 1138800.3 1087507.5 1092704.1 1254107.8 1174447.6 1135577.6 1132433.6
## 2214 1271311.8 1173521.8 1183225.9 1220983.2 1257928.4 1171391.4 1115514.6
## 2215 1214302.8 1187359.8 1011201.1  997998.2  950862.9  948977.5 1107432.7
## 2216 1045722.4 1653759.4 1211026.1 1416169.0 1588430.7 2027507.1  887907.0
## 2217 1122053.6 1095058.6 1005983.3 1063310.6 1002714.2  945889.6  944523.3
## 2218 1065427.4  993173.0  994610.4 1065214.1 1178039.0 1044079.2 1045859.4
## 2219  954148.6 1002806.4  928470.8  932679.8 1147906.5  540922.9  951549.6
## 2220 1048212.6 1106642.6 1100625.1 1079931.6 1056992.2 1624171.0 1188047.6
## 2221  890130.2  937522.8  825584.2 1049772.0 1161615.5 1115985.8 1037861.1
## 2222 1200815.3  998443.5 1025813.8  961186.2 1050027.9 1060433.1 1047444.6
## 2223 1097006.3 1158247.3 1024784.9 1033543.6  924506.3 1052066.6  967304.1
## 2224  971386.7 1002856.2 1092204.8 1074079.0 1048706.8 1127516.2 1507637.2
## 2225 1332940.4 1427023.4 1642970.3 1489613.3 1460354.7 1456793.3 1405065.6
## 2226 1410683.9 1457314.4 1450407.3 1549018.7 1577541.2 1412157.0 1372043.7
## 2227 1623519.6 1591453.4 1386789.3 1318343.6 1379456.3 1428960.7 1369317.6
## 2228 1993367.8 1615988.0 1799071.0 1911967.4 2678206.4 1275146.9 1224176.0
## 2229 1457270.2 1296658.5 1433569.4 1351450.4 1257972.4 1266564.9 1305950.2
## 2230 1429143.1 1355234.3 1388553.1 1457345.8 1467473.6 1418973.6 1440785.7
## 2231 1408968.6 1360969.4 1391792.7 1547729.2 1609951.0 1566712.8 1365633.5
## 2232 1396612.4 1480289.6 1502078.9 1411835.6 1974646.8 1484708.4 1713769.1
## 2233 1237104.7 1279623.3 1345311.6 1499496.7 1424720.3 1352470.1 1308977.1
## 2234 1365098.5 1255087.3 1285897.2 1405007.4 1442873.2 1366937.1 1485540.3
## 2235 1557120.4 1321741.4 1317672.9 1248915.4 1342123.8 1408907.9 1375101.3
## 2236 1338299.0 1408016.1 1352809.5 1321102.4 1322118.0 2401395.5 2109107.9
## 2237 1894742.9 2405395.2 2007796.3 1985784.6 1878862.4 1919053.2 2137202.4
## 2238 2091903.6 1973135.9 2143676.8 2107285.9 2031852.2 1900535.9 1955896.6
## 2239 2014954.8 1948359.8 1789687.6 1933719.2 2060389.3 1950676.4 1893955.3
## 2240 2416051.2 2752122.1 2819193.2 3766687.4 1799737.8 1843030.9 1884345.0
## 2241 1938608.5 2143424.6 1990932.8 1931668.6 1824711.2 1927993.1 2027056.4
## 2242 1953416.1 1944433.2 2182246.7 2135062.0 2065191.3 1950826.3 2053165.4
## 2243 2052246.4 1990017.9 1933577.2 2141766.0 2050542.6 1979009.5 1888119.7
## 2244 2284106.6 2269975.9 2169933.8 2906233.2 2298776.8 2546123.8 2762816.6
## 2245 1761016.5 2203523.2 2462978.3 2309025.2 2045837.6 2148822.8 2139265.4
## 2246 1884427.8 1886503.9 2163510.9 2168097.1 2039222.3 2114989.0 2143126.6
## 2247 2134680.1 1970170.3 1911559.1 2094515.7 2144245.4 2045061.2 2005341.4
## 2248 2246411.9 2162951.4 1999363.5 2031650.6  798593.9  809321.4  867283.2
## 2249  753664.1  751181.4  716026.5  718780.6  680532.7  744969.4  723559.9
## 2250  769848.8  711470.8  714677.5  755098.4  765823.5  715876.3  739279.2
## 2251  684340.9  671688.1  677158.4  680579.5  693412.1  710668.4  731756.7
## 2252  943891.6 1147556.8 1587257.8  672903.2  629152.1  650789.1  663941.7
## 2253  796277.7  763479.9  793569.0  753711.3  732056.4  744782.9  768390.1
## 2254  744389.8  773878.6  794397.9  823220.4  771299.0  784639.1  734099.4
## 2255  855546.5  821127.5  705557.8  653989.7  653525.8  681913.3  651970.5
## 2256  757369.9  737014.1 1219263.4  793184.2  897747.1 1027584.5 1384552.2
## 2257  680725.4  770652.8  834663.5  747099.1  764385.4  755084.4  767338.3
## 2258  674829.6  697645.3  649945.5  700554.2  722891.2  695439.8  707895.7
## 2259  691200.3  677789.1  693785.8  700272.0  751963.8  802003.6  763867.6
## 2260  653043.4  641368.1  675202.9 1033017.4 1022571.2  988467.6  899761.5
## 2261 1033171.1 1000968.7  969594.5  977683.1 1052973.3  973585.3  979977.9
## 2262 1120259.7 1092654.3  988393.0  974123.2  970773.6 1010326.1  993097.4
## 2263  902779.2  905987.2 1015051.6  954401.5  960998.5 1025766.3 1006888.2
## 2264 1527683.0 1962445.0  774262.3  873954.7  807535.5  855001.0  799369.2
## 2265  944587.2  926427.1  933528.4  951588.4  969046.7 1008557.0 1152781.9
## 2266 1125169.9 1060868.5 1042454.6 1012584.2 1077491.7 1017050.7  961953.6
## 2267 1181815.3  912762.8 1004434.5  937420.7  899834.8  953314.2  993436.7
## 2268 1007579.4 1535857.5 1167621.1 1308967.4 1453153.3 1863195.7  982661.1
## 2269 1034448.1 1004749.4  912958.9  974866.7  991127.0  966780.0  992774.4
## 2270 1005083.3  997868.6  986612.0 1047297.4 1102857.4 1061134.4 1061219.2
## 2271  925731.2 1007257.8  973812.8  981273.3 1060906.8 1022270.9  996628.8
## 2272  978027.9 1094422.7 1364721.6 1380892.1 1319588.0 1198709.6 1311175.9
## 2273 1288823.7 1315023.1 1259414.5 1365552.3 1303055.1 1327424.3 1571158.6
## 2274 1417535.8 1413124.1 1333634.4 1319773.6 1417013.1 1346346.0 1439901.1
## 2275 1129909.4 1179851.7 1119809.7 1147503.9 1112871.2 1203120.0 1387953.8
## 2276 2734277.1 1169773.9 1122034.5 1016756.1 1110706.1 1083657.6 1159438.5
## 2277 1203682.6 1148624.8 1182694.9 1248902.0 1263680.5 1447301.2 1173307.4
## 2278 1447028.1 1470520.8 1434036.2 1492507.4 1379488.1 1360520.6 1362144.0
## 2279 1464295.7 1423289.9 1253329.2 1289082.8 1275597.9 1463502.0 1257778.3
## 2280 2057059.5 1552886.6 1841173.6 2173621.2 2587953.3 1213486.9 1150662.6
## 2281 1365546.7 1272948.3 1322852.2 1292724.9 1258364.3 1288154.1 1261965.0
## 2282 1321914.3 1332952.5 1552934.6 1476144.3 1568048.5 1543667.7 1522042.6
## 2283 1416926.3 1436311.8 1510131.4 1702221.0 1577468.8 1427162.3 1279041.6
## 2284 1347454.6 1388725.6 1414107.1 1385362.5 1158722.7 1412387.4 1309340.2
## 2285 1264117.0 1259877.2 1409705.0 1346783.4 1283482.9 1473868.1 1566668.9
## 2286 1418697.1 1333740.4 1387517.6 1442819.3 1384243.8 1375307.5 1350059.4
## 2287 1361944.9 1300806.7 1234875.3 1244925.9 1285358.0 1312877.0 1277150.6
## 2288 1208600.1 1178641.7 1167740.2 1107170.4 1126921.3 1225182.0 1341240.6
## 2289 1158693.1 1163803.3 1273670.3 1245576.6 1372484.9 1197761.2 1339630.4
## 2290 1320359.2 1304850.7 1445596.6 1567340.1 1356938.9 1357672.2 1310973.1
## 2291 1527455.2 1227536.0 1232376.5 1246242.6 1405914.4 1333315.0 1283563.4
## 2292 1335647.1 1529615.5 1624994.4 2168344.2 1363973.2 1251581.9 1155594.2
## 2293 1303233.1 1213994.4 1325835.7 1239299.1 1221723.9 1230106.1 1524734.3
## 2294 1298809.8 1407897.6 1467722.2 1406313.1 1364446.0 1434709.6 1428869.9
## 2295 1497054.8 1397970.5 1303726.5 1344558.9 1477134.8 1242909.5 1261158.5
## 2296  677231.6  583364.0  676260.7  628516.6  665750.1  660620.0  659795.8
## 2297  706924.0  724469.0  698073.9  704113.2  792442.5  764155.4  737163.2
## 2298  665290.9  682124.3  699464.4  686072.4  724499.8  711461.9  685700.1
## 2299  616094.7  661644.2  674458.0  696314.5  713250.1  718056.7 1115240.6
## 2300  558794.6  572360.8  568093.6  600448.7  639830.4  615666.8  634637.0
## 2301  618377.8  648606.1  674562.4  756588.4  649245.0  659446.6  684783.2
## 2302  699270.1  706206.9  698529.6  680510.2  670855.0  668390.8  679706.0
## 2303  628720.5  620885.9  639160.2  671522.9  646915.5  690675.5  724444.0
## 2304  916446.0  997502.5 1290533.0  683665.4  636419.1  614764.3  594744.9
## 2305  643155.9  643711.5  638204.3  672831.8  684348.9  791356.9  658691.6
## 2306  783371.0  694765.9  730254.2  753860.9  721601.9  718890.8  753385.6
## 2307  728467.7  756527.6  714828.7  671482.9  657241.6  664745.2  683300.8
## 2308 1015684.1  999348.6  855385.0 1005669.6  963382.1  903366.6  893613.0
## 2309 1074479.7  972663.6  986765.0 1069851.6 1003202.7 1073862.6 1001286.7
## 2310 1005324.3 1125329.8 1011938.3 1007385.4  977322.5 1037549.7 1042226.3
## 2311  916522.7  895069.9  970224.5  971193.0  901972.7 1286833.6 1016143.6
## 2312  812323.3  809833.2  817485.1  911807.0 1010711.1  981978.0  910298.4
## 2313  985229.8  863266.1  921700.6  873450.3 1024778.2  941008.8  938334.6
## 2314 1070119.1 1133807.0 1021534.7 1017867.8 1005360.5 1107552.4 1087644.5
## 2315  923644.6  959339.5 1130023.0  987886.1  974907.3  972257.0  988950.8
## 2316 1204807.8 1515175.0  972834.4  971557.6  836305.7  838751.5  820059.9
## 2317 1028569.0  919503.4  874790.7  922018.4 1116829.2  889670.3  923600.0
## 2318 1015853.0 1106176.8 1029248.2 1056282.9 1051190.4 1180470.8 1063149.8
## 2319 1022704.2 1053495.5 1081874.0  986131.9  961084.1  964726.4 1095504.3
## 2320 1945070.3 1390934.3 1313729.7 1925113.1 1700628.0 1836714.8 2053953.0
## 2321 1842465.8 1836595.6 1962468.7 2073102.6 1873812.9 1887182.3 1962625.0
## 2322 1908036.7 1864436.1 1936878.5 1870684.2 1908110.9 1913494.8 1629978.5
## 2323 1688955.5 1686010.0 1828010.2 1704785.7 2627910.8 1884343.7 2139733.7
## 2324 1517029.9 1421111.6 1628100.8 1636224.8 1709365.2 1688935.7 1656130.7
## 2325 1727175.6 1921655.5 1642074.6 1757042.0 1763545.3 1725268.6 1820723.2
## 2326 2000055.3 1762155.8 1754879.4 1744879.1 1747289.5 1758438.0 1781905.2
## 2327 1599626.3 1672339.3 1682652.5 1689591.4 1710372.4 1621109.3 1800728.1
## 2328 2739019.8 1650604.6 1535287.4 1492399.1 1542131.1 1263534.9 1564246.0
## 2329 1635984.1 1620839.3 1615494.1 1899013.3 1650405.2 1639999.5 1565498.8
## 2330 1764756.3 1773500.6 1837884.8 1842555.3 2062224.9 1755889.5 1730913.7
## 2331 1731935.4 1840955.2 1519604.5 1557485.8 1540687.6 1591816.9 1660081.3
## 2332 1542173.3 1608435.4 1326877.1 1279819.4 1245268.8 1441559.4 1382359.2
## 2333 1217923.7 1176588.2 1543678.0 1348995.2 1267619.1 1231025.1 1399960.1
## 2334 1218688.1 1195897.6 1191585.9 1523410.7 1246062.2 1159812.4 1111797.2
## 2335 1501663.3 1266460.4 1179315.7 1937033.5 1447916.3 1466164.5 1510443.6
## 2336 1127859.7 1564897.3 1397301.4 1514828.8 1311796.9 1723736.9 1380836.4
## 2337 1297452.0 1222367.9 1515890.4 1253316.3 1151282.3 1160044.0 1403779.2
## 2338 1197373.1 1165870.5 1114530.3 1523870.9 1218764.9 1200019.7 1166479.5
## 2339 1557314.6 1220984.9 1203172.1 1242746.1 1576654.7 1402654.9 1255081.2
## 2340 1270036.5 1466046.1 1161190.3 1129540.5 1132948.5 1531599.4 1572966.1
## 2341 1216059.4 1209524.1 1559592.8 1290684.9 1180797.2 1170456.2 1450628.9
## 2342 1229761.0 1180671.6 1129032.0 1500863.5 1179915.0 1149427.5 1135035.1
## 2343 1469694.0 1124660.8 1135340.2 1129508.6 1462941.0 1205536.7 1143724.5
## 2344  535087.9  519042.5  496851.6  552985.3  599629.2  569937.2  509100.8
## 2345  577627.7  588017.7  540716.6  558731.7  585548.8  581473.6  563449.4
## 2346  531640.2  545766.1  579272.4  491290.4  463752.9  465338.4  474698.0
## 2347  524450.7  508174.5  975268.9  642678.5  713834.7  850538.2 1130926.8
## 2348  504126.9  550387.8  542529.2  483660.2  536031.7  493430.5  493653.4
## 2349  493078.6  534372.5  549551.0  492932.5  550735.6  598251.6  558431.4
## 2350  507335.8  474653.1  503486.4  471311.5  498056.0  608295.0  497085.9
## 2351  475776.5  505068.2  515119.6  620735.7  531600.6  504601.3  913165.2
## 2352  469773.8  444756.4  446863.3  395987.2  493159.3  545840.1  559606.9
## 2353  504566.3  633826.6  520493.8  525200.6  497250.2  504963.8  529707.9
## 2354  581854.5  555954.1  578832.4  514709.8  506705.4  475158.2  504754.7
## 2355  475127.2  489079.2  489674.2  520632.8  513737.0  516909.2  534970.7
## 2356  468189.9  445736.4  442457.3  457884.1  454801.0  471054.2  462454.4
## 2357  458343.7  445530.2  447727.5  453210.2  450337.5  436293.4  438068.7
## 2358  443810.8  461549.0  455162.9  462058.2  448392.2  445475.3  462080.5
## 2359  423707.7  462732.4  407112.2  428631.9  445332.3  519354.9  397631.0
## 2360  470921.2  417070.5  432688.0  443334.7  438529.8  425470.8  431754.0
## 2361  438789.5  424614.6  435102.2  429305.8  432808.5  424697.0  435481.0
## 2362  414246.0  431798.6  412224.7  414450.6  387944.8  369722.3  370897.8
## 2363  428958.5  426151.9  432359.0  409686.6  436462.6  452163.9  412385.8
## 2364  447023.9  438760.6  433037.7  434080.7  451366.0  435109.1  425215.7
## 2365  461511.9  428784.7  462909.4  433744.8  454477.5  436070.5  460945.1
## 2366  423192.4  440553.4  417640.3  427491.0  424581.2  425136.5  430878.3
## 2367  443891.6  425410.0  446751.5  434593.3  437537.3  439424.5 1469252.1
## 2368 1332261.0 1229635.7 1357600.7 1395710.1 1367448.3 1280465.8 1243200.2
## 2369 1377092.3 1368090.1 1303523.7 1311704.9 1315118.4 1335433.7 1276031.8
## 2370 1302047.5 1308179.0 1294105.0 1230250.2 1213981.6 1300131.7 1265852.4
## 2371 1858856.1 1338716.4 1475685.1 1714667.0 2068943.0 1198071.6 1311986.9
## 2372 1539063.9 1365678.2 1412721.2 1405572.9 1425559.0 1357036.1 1344890.7
## 2373 1408118.2 1387365.2 1342273.6 1430348.1 1425299.4 1491039.1 1375962.5
## 2374 1428993.3 1443311.5 1487542.5 1417267.1 1385769.0 1376670.3 1363460.9
## 2375 1346862.7 1426405.5 1444783.6 1445174.8 1934099.6 1388809.4 1556798.9
## 2376 1372504.9 1259941.5 1391479.9 1527688.6 1570813.5 1392543.4 1427881.2
## 2377 1407842.9 1407036.6 1311352.2 1391257.3 1392938.1 1441473.8 1397094.3
## 2378 1458059.4 1374301.3 1392395.2 1303732.4 1390174.6 1386472.6 1410181.7
## 2379 1279080.6 1363365.1 1401113.4 1378730.4 1340232.6 1087616.2 1123566.1
## 2380 1076021.6 1131732.9 1095889.2 1082763.3 1072474.8 1066792.6 1133657.6
## 2381 1150191.7 1124763.7 1187988.6 1077253.7 1120172.2 1109574.1 1065350.6
## 2382 1028635.4 1043962.4 1067432.1 1061089.6 1085483.4 1096692.9 1102185.0
## 2383 1200892.6 1377322.7 1557776.1 1949183.1  955463.8 1046416.2 1028206.5
## 2384 1054754.7 1106847.6 1101458.2 1100765.5 1068719.2 1051121.0 1102975.6
## 2385 1145084.8 1175447.5 1167757.0 1239741.3 1192031.4 1163869.5 1199845.3
## 2386 1206795.7 1221318.2 1183740.9 1152117.5 1128237.3 1142499.2 1116140.3
## 2387 1204628.3 1182733.0 1181651.6 1684468.7 1179773.9 1415746.9 1556017.9
## 2388 1051864.6 1156826.3 1129422.9 1243812.6 1091822.7 1153332.9 1124538.0
## 2389 1121405.9 1126962.4 1187384.5 1187051.1 1177539.7 1232784.2 1157557.8
## 2390 1141184.7 1167829.3 1144901.5 1183571.4 1227469.2 1261306.4 1272809.1
## 2391 1202775.2 1176681.3 1199292.1 1219979.3  274593.4  294882.8  296850.8
## 2392  274634.5  325201.0  307779.6  263263.0  275883.2  326870.1  331173.5
## 2393  259419.9  267495.8  302423.9  280937.8  252734.3  242047.0  262790.0
## 2394  246277.2  231976.8  224294.4  266484.2  251732.9  234175.9  213538.3
## 2395  253050.1  238875.3  249246.8  219804.9  243948.8  259527.8  244856.4
## 2396  245435.8  270921.4  247234.5  238084.1  232769.1  271924.7  275749.6
## 2397  239431.9  243477.0  258427.4  238172.7  238433.5  226702.4  262717.7
## 2398  242771.4  237095.8  239198.4  281842.3  262407.6  234793.1  229732.0
## 2399  271961.0  251294.5  255996.5  220060.4  270373.0  259638.4  256235.2
## 2400  256091.3  282552.6  266301.0  242526.7  248051.5  287346.3  278067.7
## 2401  249798.8  270497.5  295841.8  276900.0  261851.7  261131.1  286082.8
## 2402  253205.9  249134.3  258533.1  297753.5  270097.8  247672.6  237129.8
## 2403  291781.2  254412.3  253731.1  956229.0  994611.0  983963.1  905756.1
## 2404  950684.2  923344.5  910240.7  859922.2  953495.5  933924.4  913616.3
## 2405  919229.4  911210.8  930269.8  902050.9  875976.8  987435.3  951208.7
## 2406  867539.1  865709.1  931710.7  888703.6  936293.6  926294.0  972292.3
## 2407 1227148.1 1620748.2  902109.7  900646.9  898610.3  891025.4  836717.8
## 2408  943951.7 1014218.8  922898.4  884233.7  975479.8  941829.0 1051518.4
## 2409  947229.2  943912.8  968258.1  923795.0  911106.2  926934.6  903883.0
## 2410  871404.6  926455.6  930506.1  927249.6  902852.7  871847.8  954069.4
## 2411  947552.4 1345595.8  988742.1 1084243.9 1151052.9 1593656.0  965512.4
## 2412 1047658.1 1123446.5  950154.2  990263.7  976393.4  999298.4  945143.3
## 2413  991104.4  949625.5  998672.8 1015737.6  977062.4  999511.3  982345.5
## 2414  917883.8  973250.4 1004523.6 1013820.9  926250.2  933487.7  976415.6
## 2415  963516.3  956987.8 1230613.5 1168815.3 1270658.6 1020651.7 1162610.3
## 2416 1084487.6 1110827.5 1096930.6 1182099.9 1104277.6 1078182.2 1223777.5
## 2417 1268766.8 1124414.9 1121756.4 1139131.8 1180183.4 1090587.5 1033719.5
## 2418  771065.2  874615.3  798377.0  827705.8  857797.3  843755.1  870914.7
## 2419 1779236.5  576332.1  649289.8  687670.8  659902.1  633289.8  747577.1
## 2420  800662.8  762184.1  762620.9  813352.4  795157.2  841778.3  811824.1
## 2421  855130.2  828594.9  849397.6  874453.9  827717.8  813845.5  820188.4
## 2422  813486.6  922440.6  738792.1  705802.4  749676.9  791637.5  772859.2
## 2423 1733822.4  903606.0  948965.0 1115255.6 1550214.0  904650.6  671708.1
## 2424  824568.4  805028.7  766571.1  796351.3  793045.8  760671.1  744525.7
## 2425  802383.6  819196.7  822167.2  932195.5  873415.0  848289.4  911696.0
## 2426  866216.4  888368.8  887979.5  895274.7  931279.0  984833.3  821568.6
## 2427  865137.6  467546.7  469563.7  470281.0  447519.4  480203.4  441434.2
## 2428  434116.8  457899.6  489372.0  476733.7  474918.0  447050.4  471088.9
## 2429  466962.0  452021.2  432451.9  467442.9  470436.8  437949.9  412050.7
## 2430  444351.6  453308.2  424956.3  392654.3  405860.4  425804.8  411615.7
## 2431  359310.7  384659.8  410497.7  399191.0  372174.1  417521.7  401501.2
## 2432  390732.0  385672.1  428727.6  414986.5  374574.7  340708.8  393401.4
## 2433  394645.2  360009.9  354270.8  377464.6  385631.5  361311.4  354361.1
## 2434  352960.6  343108.1  322405.1  314910.4  346137.9  342077.0  328633.3
## 2435  293350.5  312298.4  341503.9  325262.5  287425.2  329467.8  325976.3
## 2436  313270.5  315396.7  318674.9  335345.8  317872.5  304144.9  331026.1
## 2437  324801.1  306098.2  306005.5  338273.4  333146.9  306411.0  291530.4
## 2438  298947.5  314607.2  282545.5  282647.5  293728.6  301893.6  293804.5
## 2439  536006.7  529852.7  510382.5  513615.8  519255.7  513015.3  460020.7
## 2440  517850.8  543234.8  505196.1  510494.7  532241.2  479195.0  481915.1
## 2441  491998.1  487913.0  508576.6  491815.8  486930.7  512157.2  510427.5
## 2442  498925.9  510425.4  514485.9  539683.4  517546.7  518124.2  518220.7
## 2443  542464.0  525616.9  526486.8  513672.4  583835.2  522514.3  536840.7
## 2444  534578.8  543703.2  543775.9  526434.4  502918.2  547513.3  511871.6
## 2445  509276.2  517021.3  489059.9  498749.6  505543.5  504975.0  510787.5
## 2446  513341.9  516556.9  516402.1  522816.8  513636.0  522784.3  517355.4
## 2447  537224.5  533905.7  605791.5  451327.6  558343.6  546221.4  543894.1
## 2448  525559.2  535937.2  484588.3  520887.2  533734.9  564848.8  506973.2
## 2449  540625.8  531811.8  528940.8  508573.2  484032.8  508309.8  519498.3
## 2450  509633.7  522665.0  538344.1  526838.1  514651.7  521321.0  527953.1
## 2451  342214.9  327237.9  334222.7  372239.9  342023.9  333025.5  335858.1
## 2452  383657.4  346174.3  340497.1  326469.4  376184.9  354828.7  335691.8
## 2453  336378.4  378574.4  341400.7  329139.7  322868.6  377096.5  336227.7
## 2454  339042.2  341219.6  380870.1  340147.2  348594.0  360858.0  351925.4
## 2455  356138.8  341098.1  357557.2  402341.8  377672.5  364606.7  354232.3
## 2456  392152.3  362758.9  362952.3  344226.0  422186.7  366977.8  365730.8
## 2457  387334.0  399699.2  367181.7  365562.7  355131.3  437631.4  387844.0
## 2458  394665.3  366819.8  449516.3  400430.8  402709.2  378539.2  436970.1
## 2459  404283.8  419717.4  342667.3  478483.2  423260.8  405215.9  412882.3
## 2460  452792.5  428465.1  412456.5  408679.4  499267.7  435790.7  401615.8
## 2461  435579.7  448110.2  430222.1  405938.3  404634.4  471086.2  416036.8
## 2462  397428.2  424905.0  490274.8  430944.4  409601.0  398468.1  458479.0
## 2463 1230592.0 1168582.0 1266254.2 1244391.8 1301590.1 1235094.7 1463942.6
## 2464 1226997.7 1350674.0 1365541.6 1512207.9 1371405.3 1368312.4 1280414.8
## 2465 1409989.7 1371465.7 1471816.5 1417515.9 1345167.6 1279666.5 1252915.4
## 2466 1294769.1 1293707.2 1291398.7 1370659.5 2149355.2 1431911.0 1630564.5
## 2467 1243370.7 1158698.4 1343773.9 1227893.9 1335233.7 1240921.2 1316385.4
## 2468 1348031.6 1563140.9 1379651.9 1370920.9 1325022.8 1373907.2 1406124.1
## 2469 1414564.5 1380257.1 1416005.6 1426418.5 1518790.9 1514056.0 1629066.9
## 2470 1311775.8 1443884.4 1384721.8 1465283.3 1472663.1 1553629.6 1456957.4
## 2471 2554482.8 1537139.6 1478537.9 1369125.4 1394841.0 1320301.6 1396150.1
## 2472 1522421.1 1469593.4 1499727.0 1764847.9 1580732.7 1433391.0 1456997.2
## 2473 1623442.2 1587499.8 1532316.8 1492389.0 1659222.0 1471261.8 1582168.3
## 2474 1710923.9 1609811.8 1447614.1 1555672.5 1495607.1 1574408.7 1494417.1
## 2475  863917.4  990152.3  899352.4  894865.3  873354.6 1041202.1  919839.2
## 2476  885613.9 1008483.1 1052429.0 1007574.7  973105.3  940405.0 1087578.8
## 2477  924011.8  932397.0  922328.0  976453.3  967310.8  855046.9  844373.3
## 2478  968270.7  935481.3  852452.9 1166142.9 1000582.1 1111215.7 1179036.3
## 2479  775910.4  904261.7  931939.5  968694.4  888869.3  977070.6  860255.6
## 2480  965056.4  847246.5 1016752.6  903864.0  907110.8  972373.8 1075687.7
## 2481  953252.1  980642.1  929096.9 1063818.2  955506.9  943237.1  969611.3
## 2482 1070390.0  936751.7  942319.7  941675.9 1011321.2 1037687.1  905400.0
## 2483  908853.2  954576.9  780607.5  811365.4  770157.3  979552.3  999785.5
## 2484  844490.9  871945.6 1132064.2  857811.2  896979.9  875372.9  993311.6
## 2485  977950.3 1033552.2  988764.8 1182901.6  979848.7  968502.4  954396.8
## 2486 1088248.4  901709.8  899768.4  919595.4 1069112.0  982523.3  918170.5
## 2487 1063557.5 1023997.7 1006597.7 1015196.5 1168826.4 1082158.2 1043388.8
## 2488 1246654.2 1305068.1 1217199.4 1202963.1 1174209.5 1273279.8 1176079.6
## 2489 1353838.4 1173131.6 1223355.5 1172672.3 1111170.9 1110941.8 1109216.4
## 2490 1175326.2 1172155.3 1866681.6 1220115.8 1434908.1 1627904.7 2225016.7
## 2491 1179420.5 1150003.4 1203399.6 1099714.9 1229257.7 1159089.6 1115504.3
## 2492 1178841.1 1244956.9 1270025.7 1244542.3 1278304.3 1297584.9 1311690.1
## 2493 1292830.9 1248330.1 1402233.7 1356689.9 1412960.0 1328740.7 1283849.4
## 2494 1247130.2 1214944.3 1274463.0 1315684.9 1302499.2 1230118.0 1906713.4
## 2495 1208191.6 1134767.3 1116295.2 1079398.8 1208825.6 1238844.6 1330451.5
## 2496 1239423.2 1460234.3 1323004.7 1220815.3 1248950.6 1359770.7 1353285.1
## 2497 1386407.2 1355600.0 1456300.9 1332594.1 1347175.9 1344724.0 1439607.4
## 2498 1306644.2 1276609.4 1307928.0 1400160.9 1409545.0 1326197.2 1316542.6
## 2499  588363.6  519914.1  478021.7  505907.4  582552.3  549528.2  492364.8
## 2500  556046.1  607218.6  529418.6  484327.6  507168.8  570069.5  558837.3
## 2501  465993.5  524658.1  589091.0  536871.6  492263.0  481523.9  599759.4
## 2502  524316.2  522296.7  500250.8  585175.2  537455.7  555075.3  428953.6
## 2503  628063.9  556485.1  526904.1  570879.0  607294.6  558239.3  522673.6
## 2504  612337.3  603024.8  524559.9  503295.3  545109.3  616702.0  546675.7
## 2505  479256.8  572603.3  603147.3  526641.2  503721.0  537124.8  608390.9
## 2506  537276.4  515599.7  597667.2  643125.3  567673.9  577698.4  511883.4
## 2507  664348.2  579499.9  538978.7  588448.2  674919.4  606671.5  564304.2
## 2508  652312.1  639123.4  552529.2  526625.5  609274.9  643603.7  590636.4
## 2509  507403.8  618702.1  628099.1  530318.4  516352.2  573084.7  576620.3
## 2510  527165.7  505978.5  593162.5  612379.9  541407.0  514756.1  647029.3
## 2511  668098.5  623097.9  650102.8  693058.3  675282.2  638957.3  630740.1
## 2512  684023.9  700009.8  625196.1  667353.8  718748.3  696844.4  649035.6
## 2513  689326.9  722120.0  725043.0  650263.9  657108.8  713332.5  699852.7
## 2514  633520.3  557543.6  598679.0  615761.8  656637.6  534740.3  611796.6
## 2515  626627.8  592340.0  616345.2  629026.8  635171.1  585989.1  611585.5
## 2516  684655.9  648330.2  578209.6  630972.2  643041.7  665781.7  604925.1
## 2517  605956.6  595626.6  663396.3  561573.1  594224.9  649128.2  618877.1
## 2518  572516.6  641905.4  615975.5  628115.6  669965.2  585028.3  617898.1
## 2519  619225.7  587685.4  629176.7  662198.7  660632.1  613043.0  693250.0
## 2520  665687.9  638145.0  593138.6  637964.2  640159.0  648541.8  597406.4
## 2521  645618.6  627634.0  596554.1  572447.5  614378.9  643558.8  640210.8
## 2522  577792.3  642614.9  619369.7  623919.2  587603.6  281091.0  286857.1
## 2523  276279.5  286197.5  257361.3  280048.7  278287.0  272997.7  285379.9
## 2524  293481.4  288247.2  300628.2  280472.8  297100.0  292680.2  275021.0
## 2525  283455.1  279364.1  281313.8  300152.5  279524.4  268708.4  270110.3
## 2526  264214.1  278253.3  278646.3  365098.2  241937.1  288320.4  292859.4
## 2527  279427.9  293984.5  284496.1  281699.7  285031.8  281514.3  292498.6
## 2528  303559.2  308442.5  308950.0  308770.4  300255.9  296765.6  315273.1
## 2529  290399.7  290909.7  324174.8  309543.5  295811.2  303974.3  307409.1
## 2530  307126.3  312233.6  310531.0  309129.0  284309.3  304300.9  311144.2
## 2531  308295.4  325986.0  325378.0  320691.2  315641.8  316687.2  303438.2
## 2532  323233.8  330338.4  326053.3  341381.1  334042.4  343268.3  323410.9
## 2533  336479.5  337819.2  319855.3  342385.4  333594.8  327389.5  337985.7
## 2534  337390.4  337796.1  323766.8  361067.1  890689.5  656988.6  841264.0
## 2535  877236.0  833782.7  782222.0  749779.1  737265.6  812190.8  758182.2
## 2536  792299.2  800147.8  787062.0  723709.0  714601.1  716859.3  746517.3
## 2537  716987.6  678228.6  690007.8  745782.1  715263.3  730899.4  732859.8
## 2538 1002364.3 1123282.9 1682862.0  679156.2  680254.3  654018.9  644285.3
## 2539  761880.4  714014.7  733564.8  719737.2  712425.8  750182.7  765270.0
## 2540  817653.2  877423.4  814395.2  811153.7  762861.8  791495.2  768718.1
## 2541  712362.7  833979.0  726482.4  746129.6  711367.6  714106.4  698986.3
## 2542  808624.8  773603.8 1170672.9  875699.8  957155.3 1078905.7 1521958.0
## 2543  757330.9  803657.1  858853.8  753060.8  782796.0  776968.9  788340.2
## 2544  711571.9  782300.7  770487.4  800842.3  817741.2  837144.6  795133.0
## 2545  737613.7  711671.6  725729.5  733037.3  722496.9  718232.3  734297.9
## 2546  734464.4  718125.5  760281.4                                        
##            Aug       Sep       Oct       Nov       Dec
## 2010 1404429.9 1594968.3 1545418.5 1466058.3 1391256.1
## 2011 1503284.1 1422711.6 1492418.1 1546074.2 1448938.9
## 2012 1507460.7 1430378.7 1351791.0 1453329.5 1508239.9
## 2013 1548033.8 1682614.3 1891034.9 2387950.2 1367320.0
## 2014 1456800.3 1636263.4 1553191.6 1576818.1 1541102.4
## 2015 1428218.3 1466046.7 1635078.4 1588948.3 1532114.9
## 2016 1525147.1 1530761.4 1464693.5 1550229.2 1540471.2
## 2017 1697229.6 1594938.9 1539483.7 2033320.7 1584083.9
## 2018 1319325.6 1636339.6 1802477.4 1819870.0 1539387.8
## 2019 1521577.9 1468928.4 1684520.0 1611096.1 1595901.9
## 2020 1527014.0 1497954.8 1439123.7 1631135.8 1592410.0
## 2021 1670786.0 1573072.8 1508068.8 1493659.7 2136989.5
## 2022 2066187.7 1954689.2 1874957.9 1821990.9 1802450.3
## 2023 1939927.1 2003940.6 1880902.6 1845879.8 1781717.7
## 2024 1793903.6 1724557.2 1827440.4 1849921.4 1794355.5
## 2025 2378726.5 2609166.8 3436007.7 1750434.6 1758050.8
## 2026 1981607.8 1879107.3 1902557.7 1766162.1 1800171.4
## 2027 1797732.6 1933756.2 1929153.2 1953772.0 1790925.8
## 2028 1844094.6 1821139.9 1809119.7 1748000.6 1691439.5
## 2029 1920725.1 1902762.5 2614202.3 1954952.0 2290549.3
## 2030 1935299.9 2103322.7 2196688.5 1861802.7 1952555.7
## 2031 1764133.1 1923957.1 1917521.0 2000940.7 1912791.1
## 2032 1819666.5 1757923.9 1946104.6 1866720.0 1928016.0
## 2033 1900745.1 1847990.4 1834458.4  461622.2  420729.0
## 2034  415870.3  354993.3  339976.7  361248.4  399323.9
## 2035  381151.7  349214.2  352728.8  352864.5  347955.0
## 2036  355626.9  358784.1  395107.3  345584.4  348896.0
## 2037  498159.4  605990.4  382677.8  378241.3  381061.1
## 2038  404753.3  392109.5  380683.7  374556.1  384075.3
## 2039  394507.8  391638.8  403423.3  385520.7  368962.7
## 2040  366367.5  375988.7  377347.5  375629.5  365248.9
## 2041  398839.0  556925.2  472511.3  468772.8  510747.6
## 2042  473292.5  475591.1  418925.5  469752.6  445162.0
## 2043  439913.6  431985.4  418112.8  413701.3  432268.5
## 2044  389427.9  419990.3  391811.6  394918.8  412449.7
## 2045  424513.1  405432.7 2135143.9 2188307.4 2049860.3
## 2046 1851519.7 1802677.9 1817273.3 2000626.1 1875597.3
## 2047 1812208.2 1898427.7 1848426.8 1796637.6 1907638.6
## 2048 1842821.0 1951494.9 1867345.1 1927610.1 1933333.0
## 2049 3526713.4 1794868.7 1862476.3 1865502.5 1886393.9
## 2050 2116475.4 1944164.3 1900246.5 2074953.5 1960587.8
## 2051 2073951.4 2141210.6 2008344.9 2051533.5 2066541.9
## 2052 2078420.3 2093139.0 2075577.3 2031406.4 1929486.6
## 2053 3004702.3 2180999.3 2508955.2 2771397.2 3676389.0
## 2054 2427640.2 2226662.2 2206319.9 2202450.8 2214967.4
## 2055 2127661.2 2207214.8 2154137.7 2179360.9 2245257.2
## 2056 2174514.1 2193367.7 2283540.3 2125241.7 2081181.4
## 2057 2149594.5  317173.1  311825.7  303447.6  270281.6
## 2058  288839.7  298697.8  333522.6  296673.8  301615.5
## 2059  280701.7  274742.6  268929.0  303043.0  286477.3
## 2060  290494.8  280681.2  284988.3  278031.8  325310.3
## 2061  298180.2  286347.3  260636.7  275313.3  279088.4
## 2062  294732.5  314316.5  307333.6  307913.6  328415.4
## 2063  304811.8  302881.6  327093.9  310804.9  283248.6
## 2064  321110.2  278529.7  291025.0  292315.4  309111.5
## 2065  376225.6  367433.8  379530.3  458562.2  349624.9
## 2066  312220.5  359206.2  347295.6  339392.5  321300.0
## 2067  336189.7  341994.5  359867.8  341704.6  327383.6
## 2068  306759.7  314014.2  320831.4  344642.0  350648.9
## 2069 1652635.1 1606283.9 1567138.1 1432953.2 1601348.8
## 2070 1498080.2 1619920.0 1524059.4 1531938.4 1644470.7
## 2071 1585240.9 1532308.8 1633241.6 1547655.0 1539930.5
## 2072 1344580.9 1332716.5 1385323.7 1505442.1 1495536.5
## 2073 1350441.7 1306194.6 1261253.2 1287034.7 1514999.2
## 2074 1459276.8 1534594.0 1448797.0 1639358.9 1479249.9
## 2075 1543365.9 1694551.1 1709373.6 1526801.2 1526506.1
## 2076 1351407.8 1336044.8 1307551.9 1481739.2 1386521.0
## 2077 1903385.1 2034695.6 2644633.0 1598080.5 1395339.7
## 2078 1550385.6 1569304.4 1748010.3 1495143.6 1508933.3
## 2079 1603793.4 1681121.4 1696619.5 1642247.5 1618272.2
## 2080 1543049.5 1501095.5 1577439.8 1608077.0 1375166.9
## 2081  524104.9  506760.5  496083.2  491419.5  480452.1
## 2082  395453.8  372673.6  395195.7  442734.5  509183.2
## 2083  603547.2  643854.2  598185.4  582353.2  554309.2
## 2084  472450.8  465493.2  480512.4  507584.3  482528.4
## 2085  547384.9  521539.5  513372.2  558027.8  559903.1
## 2086  500552.2  423380.1  466594.9  410429.7  407012.5
## 2087  704344.2  761793.9  642748.2  688044.0  653382.6
## 2088  536144.8  488880.3  525866.4  501959.2  558691.4
## 2089  720242.2 1059715.3  815915.5  713117.7  593875.5
## 2090  579166.5  669205.7  615997.3  583322.2  621426.0
## 2091  598495.0  642963.8  666942.0  687344.7  704335.4
## 2092  609099.4  586467.2  597876.6  541120.2  530842.2
## 2093  963960.4  847592.1  881503.9  860336.2  839911.0
## 2094  873337.8  818333.2  868041.6  958225.4  914835.9
## 2095  893399.8  867919.2  870676.4  888816.8  899036.5
## 2096  830756.8  927266.3  911539.0  885608.0 1261693.2
## 2097  822668.2  782256.7  944594.8  996147.4 1065108.6
## 2098  908278.7  937473.1  855014.8  941457.3  895763.4
## 2099  861965.1  849925.4  829902.4  807082.2  892393.8
## 2100  809049.4  929976.6  863188.3  905984.5  876712.3
## 2101 1462254.1  858572.2  872113.2  817661.8  813954.8
## 2102  921178.4  874223.2  905935.3 1046816.6  909989.4
## 2103  928820.0  916918.7  899449.7  878298.2  936205.5
## 2104  976137.7  932160.4  883569.4  857796.4  884724.4
## 2105  473773.3  507297.9  494145.8  485744.6  484946.6
## 2106  506274.9  558143.5  586061.5  522715.7  513073.9
## 2107  481898.0  499325.4  506789.7  511049.1  484835.2
## 2108  517870.0  520846.7  519823.3  768070.5  578164.8
## 2109  463561.5  544612.3  555279.0  610985.6  513107.2
## 2110  549502.1  532226.2  545251.1  539126.0  518266.9
## 2111  512834.0  491449.9  471450.0  554879.7  520284.8
## 2112  553837.0  529515.7  557075.2  548527.5  597855.1
## 2113  549788.4  519585.7  474964.6  480130.0  482451.2
## 2114  550791.3  574985.4  677886.0  578539.9  542819.0
## 2115  564606.1  562173.1  544770.7  578790.4  536537.6
## 2116  565812.3  523427.3  533756.9  516361.1  606755.3
## 2117 1987090.1 1941346.1 1946875.1 1893532.5 2138652.0
## 2118 1904618.2 1931406.3 1827521.7 1837636.2 1768172.3
## 2119 1983190.6 1727565.4 1766331.4 1720530.2 1716755.8
## 2120 1895901.6 1949177.1 2939946.4 2251206.6 2411790.2
## 2121 1968045.9 2115408.3 2106934.5 1967996.7 1958003.2
## 2122 1873646.3 1841370.0 1712995.4 1720908.0 1743000.4
## 2123 1774342.6 1745841.3 1886300.0 1917397.6 1954849.7
## 2124 1704753.0 1745928.6 1771793.0 1904438.6 2076570.8
## 2125 1683401.8 1711562.7 1675562.9 1632406.0 1867403.0
## 2126 1815760.4 2163384.2 1974687.5 1777166.5 1712987.6
## 2127 1755334.2 1707481.9 1805999.8 1765571.9 1869967.0
## 2128 1640169.0 1671857.6 1694862.4 1758971.4 1713889.1
## 2129 1331883.2 1364207.0 1245624.3 1446210.3 1470308.3
## 2130 1396322.2 1339570.9 1336522.9 1262025.1 1302600.1
## 2131 1311263.1 1303914.3 1231428.5 1215676.3 1170103.2
## 2132 1292346.6 1757242.5 1380522.6 1564516.4 1843971.1
## 2133 1419236.9 1554747.1 1323999.4 1399457.0 1314557.3
## 2134 1331453.4 1277959.4 1239467.0 1216876.5 1343637.0
## 2135 1212938.7 1403198.9 1354188.4 1484169.7 1304706.8
## 2136 1325107.5 1310684.1 1458287.4 1366053.7 1315091.6
## 2137 1264736.6 1207303.3 1162675.9 1376732.2 1574287.8
## 2138 1596325.0 1472752.0 1315357.0 1236238.3 1370251.2
## 2139 1297028.6 1461129.9 1320239.5 1344483.8 1272395.0
## 2140 1326133.0 1227430.7 1422794.3 1311965.1 1232073.2
## 2141  972088.3  981615.8 1011822.3 1041238.9  957997.5
## 2142 1016039.7  956211.2  958007.7  951957.3  943506.3
## 2143 1075758.6  903119.0  852882.6  851919.3  850936.3
## 2144 1601377.4 1069533.2 1121934.1 1295605.4 1768249.9
## 2145 1128485.1 1046203.7 1085248.2  997672.6 1009502.0
## 2146  977033.5  924135.0  964332.5  970328.7  996937.9
## 2147  988712.5  955913.7  966817.2 1017593.5 1052051.4
## 2148  990926.4 1051944.8 1095091.5  970641.3 1591920.4
## 2149  855922.6  888203.7 1058767.9 1199330.9 1240048.9
## 2150 1083811.2 1006487.0 1004252.4 1073433.7 1041995.2
## 2151 1014898.8  960312.8  941550.3  916967.9  958667.2
## 2152  880415.7  979825.9  934917.5  960945.4  974697.6
## 2153 1882096.0 2142482.1 1898321.3 1819660.4 1909330.8
## 2154 2003435.3 1970340.2 2018314.7 1870843.9 1932231.1
## 2155 1772143.9 1790279.7 1705655.1 1765584.5 1871924.1
## 2156 2083379.9 2461468.4 2771646.8 3595903.2 1675292.0
## 2157 1831933.9 1894960.7 1852432.6 1852443.8 1807545.4
## 2158 1860923.6 1866369.9 1935593.9 1997817.0 2086433.5
## 2159 1970341.4 2090341.0 2035244.5 1953628.8 1872921.3
## 2160 2036317.5 2111592.1 2016323.5 2864170.6 2051315.7
## 2161 1733983.1 1927780.7 2069284.6 2214477.1 1929768.0
## 2162 1955689.1 1970121.6 1995994.5 2080764.2 2131900.5
## 2163 2002751.0 2053089.3 1914430.5 2044148.2 2041019.9
## 2164 2041918.7 1999079.4 2018010.1 2035189.7 2623470.0
## 2165 2495630.5 2258781.3 2121788.6 2138144.9 2082355.1
## 2166 2246179.9 2334788.4 2236209.1 2130287.3 2044155.4
## 2167 1953539.9 1879891.1 1855703.7 2091663.2 1932162.6
## 2168 2600519.3 2762861.4 3818686.5 1623716.5 1864746.1
## 2169 2041215.6 1931104.7 1932491.4 1879451.2 1869110.6
## 2170 2080694.2 2079899.5 2132446.0 2082083.3 2069523.5
## 2171 1896874.0 2273470.6 1750891.5 2202742.9 1864637.9
## 2172 2081534.6 1969360.7 2685351.8 2143080.6 2470581.3
## 2173 1877410.4 2077256.2 2020551.0 1875040.2 1926005.0
## 2174 1784029.9 1949354.3 1987531.1 1932233.2 2030869.6
## 2175 1553250.2 1479514.7 1656886.5 1648570.0 1660433.3
## 2176 1639585.6 1590274.7 1704357.6  652122.4  682447.1
## 2177  634605.8  641208.7  643097.6  570791.1  661348.9
## 2178  709337.1  691497.6  633203.7  598553.4  619224.1
## 2179  548542.5  566945.9  591603.8  577011.3  600395.7
## 2180  983825.2 1368318.2  543754.2  509640.8  479424.2
## 2181  537035.3  551554.0  527389.3  542556.1  587370.8
## 2182  695396.2  642679.8  639928.8  656594.9  674669.2
## 2183  605413.2  649159.7  607593.5  545052.3  545570.9
## 2184  597856.5 1066478.1  699028.7  764565.6  870415.5
## 2185  628218.2  598502.8  561137.1  541292.6  545120.7
## 2186  577868.4  579539.9  600051.0  693780.4  663971.3
## 2187  571190.8  590739.6  590453.6  579738.2  606210.8
## 2188  555652.8  558473.6  477409.3  472044.3  469868.7
## 2189  436312.4  370230.9  383550.9  403217.2  401770.9
## 2190  614253.3  586583.7  588344.2  562633.7  586936.4
## 2191  463977.5  442894.2  452169.3  541216.9  495022.5
## 2192 1004730.7  575317.4  573546.0  470365.6  462888.1
## 2193  497373.5  465279.7  459756.1  439276.5  427855.2
## 2194  600952.1  581546.2  569105.0  608737.6  634634.7
## 2195  580805.3  574622.6  539081.1  504857.0  450075.3
## 2196  712422.4  530492.8  574798.9  679481.9  950692.0
## 2197  494069.5  495720.3  464189.1  495951.7  520850.7
## 2198  479855.0  493506.5  518045.1  532311.9  603618.9
## 2199  584000.7  554036.8  521896.6  551152.2  551837.3
## 2200  475770.1  789036.0  841951.9  800714.0  749549.6
## 2201  977790.8  807798.7  843848.7  813756.1  826626.5
## 2202  876591.4  893504.9  833517.2  795301.2  759995.2
## 2203  827738.1  838297.3  815093.8  861941.2  818434.5
## 2204  635862.6 1083071.1  758510.4  755804.4  736335.7
## 2205  781267.8  795859.2  811855.7  825283.4 1060770.1
## 2206  894686.7  920720.0  940554.3  915064.2  902727.8
## 2207 1161900.2 1051116.9  895535.3  868191.1  918006.9
## 2208  945267.7  976522.9 1067754.1 1289156.9  777207.3
## 2209  843864.4  856178.5  860225.0  853136.5  851762.3
## 2210  968816.3  984881.6  938914.3  987990.2  964169.7
## 2211  849074.0  844928.2  924299.8  865924.2 1255633.3
## 2212 1205307.5 1187880.7 1150663.4 1068157.4 1179738.5
## 2213 1060446.2 1222255.5 1092616.5 1101621.4 1256282.8
## 2214 1032908.2 1078557.6 1166117.9 1084722.8 1141860.7
## 2215 1029618.1 1052120.4 1038576.5 1089530.9 1081322.1
## 2216  933960.3  777175.3  891148.6  849540.8 1055841.2
## 2217  938083.2 1018541.3  988157.7 1105860.1  974114.4
## 2218 1056478.6 1087051.3 1048802.6  974916.1  991262.5
## 2219  845715.4  853073.2  847348.1 1019741.1  953533.9
## 2220 1368471.2 1516924.2 1882393.4 1010562.5  977286.1
## 2221 1047178.9 1084894.5 1022018.4 1031139.3 1009121.2
## 2222 1088446.6 1118313.7 1110479.9 1057425.8 1080357.9
## 2223 1048134.2 1145840.9 1117097.2 1083521.2  960476.1
## 2224 1536549.9 1515976.1 1373270.1 1495844.6 1467889.2
## 2225 1566219.8 1437319.4 1377716.2 1648882.6 1519013.5
## 2226 1366396.0 1492060.9 1418027.1 1419383.2 1557888.2
## 2227 1357154.7 1404576.5 1435379.2 1490235.9 1377593.1
## 2228 1181204.5 1212967.8 1284185.5 1370562.1 1430851.1
## 2229 1419911.9 1392093.0 1514288.8 1297237.7 1451953.9
## 2230 1462731.9 1465489.8 1391580.4 1377119.4 1298775.8
## 2231 1300375.8 1330757.2 1461718.9 1318905.5 1374863.1
## 2232 1852179.1 2480159.5 1405168.1 1266570.4 1182198.7
## 2233 1358816.5 1312849.1 1342254.6 1327139.4 1631737.7
## 2234 1450733.3 1390122.1 1440263.1 1468350.4 1379652.6
## 2235 1544653.4 1542719.9 1497073.8 1370653.4 1338572.3
## 2236 2161549.8 1898193.9 2119213.7 2010974.8 1951848.4
## 2237 2033211.6 1893736.9 2065984.9 2203619.4 2100489.8
## 2238 1910177.4 2071022.4 1975374.6 1946369.6 2121561.4
## 2239 1891816.0 2184316.6 2187765.3 2105058.9 2811634.0
## 2240 1781805.7 1761506.7 2351143.1 2211388.1 2258616.2
## 2241 2057406.3 2313861.8 1881788.2 2090838.4 2036748.5
## 2242 2123787.8 2039875.8 1950904.8 1858440.9 2189353.6
## 2243 1945808.3 2135982.8 2010107.7 2104241.9 2065421.5
## 2244 3555371.0 2043245.0 1964701.9 1911510.6 1892775.9
## 2245 2064991.7 1992437.0 2074721.7 2565259.9 2045396.1
## 2246 2231962.1 2165160.3 2060588.7 2055952.6 2358055.3
## 2247 2062481.6 2080529.1 2047950.0 2028587.2 2008350.6
## 2248  749597.2  747444.3  712312.9  727070.0  686497.5
## 2249  753361.7  755214.3  806012.5  784305.6  785104.3
## 2250  793589.2  848873.3  855882.6  727772.8  674055.8
## 2251  719888.8  735796.4  756288.9 1245628.6  829210.7
## 2252  649878.3  596218.2  771908.5  884701.9  768313.8
## 2253  801302.0  783250.8  718898.3  754236.7  744836.6
## 2254  728311.2  784490.7  751167.1  783614.9  776933.4
## 2255  663452.5  671379.4  729036.1  738812.0  767358.4
## 2256  804362.4  640181.9  631181.2  651178.2  611258.7
## 2257  729760.0  724798.8  761956.6  769319.0  734858.9
## 2258  727049.0  735870.0  716341.4  693013.6  668132.4
## 2259  642827.3  628494.6  667151.5  647097.7  651768.9
## 2260 1009201.2  967187.4  966145.1 1012075.1 1177341.0
## 2261 1103740.4 1095539.1 1061196.5 1052895.2 1095020.3
## 2262 1017045.4 1081421.0 1074535.9  924174.4  918286.0
## 2263 1043698.6  985896.4 1564502.3 1230514.6 1367202.8
## 2264  946061.0 1009206.3  975964.9  911245.4  997353.2
## 2265  926133.8 1032076.1 1001558.7  970307.8 1021568.3
## 2266  964683.8  944958.7  983233.0  991779.2  973004.9
## 2267  944337.3  981567.2 1099351.7 1106575.6 1051740.3
## 2268  895358.2  855437.6  897027.4  786459.2  958487.8
## 2269  965769.9 1197489.7  939118.2 1000342.9  922539.9
## 2270 1112449.3 1053881.8 1097786.1  971361.4  991969.4
## 2271  918049.3  921612.5  976479.5 1009887.4 1004039.8
## 2272 1408083.0 1229008.3 1310701.8 1556627.6 1264434.7
## 2273 1514435.5 1439432.1 1507708.9 1415204.9 1549113.2
## 2274 1584623.4 1405119.2 1272842.9 1159132.6 1099055.6
## 2275 1314994.3 2072685.1 1617025.4 1872366.0 2238573.5
## 2276 1249786.4 1369971.6 1206917.2 1301185.3 1042043.6
## 2277 1359921.1 1254914.9 1337617.6 1361945.2 1562162.0
## 2278 1319767.6 1416344.7 1380952.1 1453416.5 1637266.3
## 2279 1441032.6 1407192.0 1428436.3 1436940.8 1345632.0
## 2280 1031451.3 1146992.1 1037476.4 1261872.7 1358444.1
## 2281 1604605.7 1231752.5 1287899.4 1277758.8 1317379.7
## 2282 1451782.2 1545370.2 1384921.6 1381339.2 1322932.4
## 2283 1338627.6 1319035.1 1464616.6 1412925.2 1363155.8
## 2284 1222511.3 1258311.6 1478321.3 1379579.6 1268266.7
## 2285 1375458.2 1354168.2 1399073.8 1563387.9 1665502.6
## 2286 1366381.6 1474498.6 1273295.5 1169413.3 1215273.2
## 2287 1779276.5 1413302.7 1593012.8 1663525.8 2386015.8
## 2288 1360150.1 1235121.3 1346994.5 1253218.7 1168397.3
## 2289 1311950.2 1234281.7 1311153.7 1554837.6 1373841.9
## 2290 1417616.8 1402818.0 1352039.9 1402372.1 1196105.4
## 2291 1307142.8 1385860.4 1425078.6 1297535.7 1761235.7
## 2292 1151993.9 1057290.4 1249697.0 1403460.9 1326370.1
## 2293 1285783.9 1208654.4 1194334.6 1306551.7 1355391.8
## 2294 1645097.8 1405475.8 1394299.0 1307339.1 1440374.1
## 2295 1259278.4 1416720.5 1416301.2 1255414.8 1307182.3
## 2296  696687.6  822486.4  712648.0  715311.6  694531.7
## 2297  780444.9  737569.1  759407.9  719591.1  726997.8
## 2298  655811.9  628989.9  607819.3  658640.1  674283.9
## 2299  885573.0  964729.2 1047707.6 1295391.2  623092.5
## 2300  570816.3  640912.2  599828.4  603393.6  616324.2
## 2301  677971.3  718373.9  737551.7  740259.6  717373.4
## 2302  667130.5  688958.8  726422.6  699779.0  673248.5
## 2303  718393.6  719235.1  728525.6 1116211.4  878314.6
## 2304  589554.3  642776.4  658984.4  654088.0  613501.1
## 2305  661566.5  655157.3  696421.7  739866.2  717207.2
## 2306  714093.9  685676.6  659109.5  709724.6  710497.0
## 2307  699536.7  697317.4  685531.8  688940.9 1034119.2
## 2308 1029849.2 1022293.8  905548.4  881930.9  904503.8
## 2309  976242.1 1078455.5 1122356.5 1028151.7  971615.6
## 2310  923473.7  868636.3  923221.5 1001069.5  937956.9
## 2311 1149612.0 1196813.3 1573982.5  877268.3  938149.2
## 2312  945643.2  946614.6  887426.1  866566.5  849231.6
## 2313  996723.6 1054454.4 1094058.7  981646.5  997474.9
## 2314 1021766.8 1064617.6 1040143.1 1069711.0  951569.8
## 2315 1077640.1  946091.8 1282320.1 1012498.5 1148987.5
## 2316  939158.2 1081005.6  965788.8  917924.5  955641.7
## 2317  911969.0  946573.3 1062548.7  978082.8 1067310.7
## 2318 1049625.9 1031745.1 1090915.1 1121476.5 1068292.6
## 2319 1044639.7  975578.0  958619.8 1874289.8 1745362.7
## 2320 1955814.1 1857501.0 1850205.5 1805885.0 1939458.8
## 2321 2024554.1 2119163.0 1880691.6 1808250.7 1816489.5
## 2322 1597002.7 1543532.8 1707662.9 1728388.2 1693935.3
## 2323 2350098.4 3078162.1 1440963.0 1568159.5 1532308.6
## 2324 1613259.8 1624539.2 1554651.1 1628868.3 1689844.2
## 2325 2053708.0 1817914.7 1814740.1 1811455.1 1949983.9
## 2326 2034400.8 1511717.5 1911470.8 1613773.9 1606208.7
## 2327 1723739.4 2504400.7 1806924.7 2014666.0 2205919.9
## 2328 1651605.4 1606221.6 1648602.4 1509323.1 1607343.4
## 2329 1669388.4 1674306.3 1707158.8 1818906.7 1900638.6
## 2330 1625883.7 1705810.8 1720537.3 1735339.6 1780443.4
## 2331 1620374.2 1703047.7 1672352.3 1558968.5 1491300.4
## 2332 1268240.7 1244177.2 1186971.0 1532893.2 1245898.7
## 2333 1340293.9 1225336.4 1205885.0 1150204.7 1523101.4
## 2334 1203080.4 1334571.9 1158063.0 1120619.3 1231688.5
## 2335 2026026.4 1090558.6 1402902.5 1098286.6 1079669.1
## 2336 1286413.7 1201059.7 1336838.4 1414713.5 1240126.1
## 2337 1339972.8 1268503.5 1208809.3 1319054.6 1459655.9
## 2338 1468871.5 1310087.0 1159212.1 1109105.9 1120731.8
## 2339 1929738.3 1368130.4 1467024.3 1429954.7 1796203.5
## 2340 1501503.7 1323487.9 1451740.6 1680764.1 1337875.5
## 2341 1264575.2 1213310.4 1151214.4 1245480.9 1440687.7
## 2342 1376520.1 1269113.4 1184198.4 1199309.6 1227118.8
## 2343 1213860.6  538634.5  529672.9  542399.1  488417.6
## 2344  505329.7  501013.5  568497.3  518940.9  502021.8
## 2345  512292.0  506502.1  509872.8  519787.9  495269.0
## 2346  530059.1  483011.7  505221.2  527058.6  521003.0
## 2347  465992.0  455952.2  426905.3  445134.2  410427.0
## 2348  478773.0  475615.3  505304.3  518246.0  589252.7
## 2349  536914.2  545368.2  567114.6  547586.1  505246.2
## 2350  505406.7  474129.3  475696.4  446516.3  514993.0
## 2351  579874.2  633240.5  736805.7 1016637.4  551743.1
## 2352  488782.6  500801.7  504750.3  489293.7  517408.5
## 2353  543706.0  549665.7  576252.3  554093.2  552338.8
## 2354  518628.4  416881.7  615026.2  545844.9  540811.8
## 2355  465108.5  497374.6  463513.3  472330.7  472591.1
## 2356  456140.3  457883.9  461868.1  455751.8  462474.2
## 2357  440491.3  437893.8  441407.1  444160.1  447139.8
## 2358  453943.9  459631.7  438334.4  484661.9  431266.6
## 2359  451077.2  465408.7  439132.6  425989.0  490971.0
## 2360  437926.8  443889.5  426666.9  445358.7  423687.2
## 2361  422715.7  428782.4  419764.4  420515.6  423441.8
## 2362  382914.7  391837.6  387001.1  417528.3  410712.0
## 2363  436741.0  441265.1  492022.7  376777.5  457030.9
## 2364  438640.6  446617.9  413617.5  430223.0  449603.9
## 2365  449355.9  427021.2  437222.9  438523.2  428554.6
## 2366  423351.2  425296.7  439132.5  433565.8  437773.3
## 2367 1543947.2 1473386.8 1344354.4 1384870.5 1366193.4
## 2368 1381796.8 1287288.6 1337405.6 1309437.2 1427624.5
## 2369 1231993.1 1352401.1 1327719.3 1376571.2 1326622.0
## 2370 1262289.3 1257921.3 1324455.7 1352780.8 1359158.6
## 2371 1350730.3 1344167.1 1254955.7 1443206.5 1539230.3
## 2372 1416790.2 1408464.1 1461393.9 1331138.0 1388755.6
## 2373 1371889.3 1423144.5 1415473.9 1401944.8 1308122.1
## 2374 1347607.7 1285534.7 1427383.2 1378340.2 1409310.4
## 2375 1611196.6 2026176.1 1355405.9 1401232.5 1377485.1
## 2376 1439034.9 1481728.1 1365825.0 1318854.2 1496169.8
## 2377 1404516.3 1443285.8 1431003.4 1394065.8 1349202.2
## 2378 1379783.2 1373651.5 1358111.6 1327705.4 1373064.9
## 2379 1082559.1 1053247.1 1066566.7 1093319.4 1059781.8
## 2380 1079314.5 1143819.4 1205662.9 1149235.0 1192074.1
## 2381 1144552.1 1157975.7 1189887.9 1140501.0 1095932.5
## 2382 1115138.5 1063056.2 1141019.1 1150729.9 1634635.9
## 2383 1078348.9 1006814.8 1070457.8 1124357.2 1183528.6
## 2384 1120508.1 1210602.9 1107494.6 1181793.6 1138162.8
## 2385 1110244.5 1144254.3 1185674.5 1169988.6 1201694.1
## 2386 1088944.0 1149448.0 1175420.3 1151258.7 1185392.0
## 2387 1959527.0 1102367.6 1099937.2 1071598.4 1080012.0
## 2388 1138101.2 1146632.5 1108686.9 1270577.0 1171834.5
## 2389 1246322.4 1234759.5 1196880.1 1178211.8 1214184.0
## 2390 1183979.3 1126685.9 1156377.5 1159119.6 1157111.1
## 2391  284052.8  291484.9  312161.0  282235.7  262893.8
## 2392  294264.2  279246.3  285100.0  310800.8  272399.1
## 2393  265367.5  230519.5  224031.2  237405.8  272834.9
## 2394  246124.6  272803.9  224639.8  240044.6  209986.2
## 2395  231155.9  234218.0  276198.7  252349.6  242901.2
## 2396  248603.3  248561.9  257031.2  279466.9  239206.3
## 2397  265003.5  238915.0  224807.0  242456.4  274721.8
## 2398  262159.1  272487.3  233543.1  231320.0  236157.1
## 2399  215359.2  267058.1  279447.2  244899.2  236920.5
## 2400  246971.0  251327.7  275912.0  312698.7  261837.2
## 2401  290444.3  261666.3  244338.3  273690.4  287033.6
## 2402  286428.8  277417.5  252709.6  242813.5  265444.9
## 2403  918295.8  921247.9  892070.8  880742.3  979428.7
## 2404  942868.4  966187.5  954681.6  941612.0  895800.1
## 2405  985152.9  855421.4  964356.7  932241.0  885445.5
## 2406  979730.8  955766.3 1309476.7 1001512.2 1086661.0
## 2407  971932.9 1015654.6 1062629.3  953331.4  963910.8
## 2408  895973.0  965853.6  966232.7  945018.8  941311.8
## 2409  913236.6  851461.9  942236.4  956251.2  960418.5
## 2410  911788.8  953693.2  958063.9  992621.9  991570.0
## 2411  953844.8  913755.1  910899.1  872450.4  939367.1
## 2412  938861.8 1091020.4  987353.7  977628.8  940299.9
## 2413 1000285.1  942970.6 1007867.7  954677.8  950929.6
## 2414  955211.7  943047.8  928629.3  968896.7  948613.4
## 2415 1150344.4 1117536.1 1078900.4 1189556.5 1198015.0
## 2416 1282378.7 1160412.7 1198025.8 1230245.7 1245827.1
## 2417  917693.1  948660.8  961686.0  831443.6  758069.8
## 2418  846850.3 1781867.0  982598.9 1108580.2 1314987.4
## 2419  859258.2  865305.9  841129.3  850448.5  830601.4
## 2420  835181.2  826155.9  776838.6  850708.6  955466.8
## 2421  770820.3  826820.7  819911.9  820288.3  897037.2
## 2422  811328.4  808821.5  653468.8  880576.3  820964.1
## 2423  625135.1  669850.0  588723.0  746901.0  849779.1
## 2424  860293.5  788633.4  794660.2  721212.4  772036.6
## 2425  892133.4  985479.6  825763.5  841224.7  808030.2
## 2426  772302.9  814099.9  866064.4  873643.1  829284.7
## 2427  428852.0  404438.5  435972.8  453016.9  483699.6
## 2428  467711.2  485694.7  434879.9  434252.2  471713.6
## 2429  431294.5  434471.4  454694.2  419348.6  422169.5
## 2430  408891.5  360266.1  404545.0  410214.7  422093.6
## 2431  427175.0  380279.4  402579.8  407506.8  431412.2
## 2432  395316.7  376183.4  348655.2  373704.0  374182.0
## 2433  381017.8  380188.7  373267.6  344964.2  350276.3
## 2434  306193.8  313387.1  328498.9  332901.9  332811.5
## 2435  330927.2  301444.9  310982.9  335741.9  326316.7
## 2436  339407.9  323915.3  308389.8  312467.5  330518.3
## 2437  306578.9  298337.4  303289.5  279643.4  304990.0
## 2438  270678.0  277137.9  300236.8  287360.0  272489.4
## 2439  515778.0  540189.7  513327.5  524544.8  527019.8
## 2440  505761.6  485419.4  498292.5  502456.0  485150.0
## 2441  510296.1  501251.4  494265.5  529877.9  524483.7
## 2442  508213.1  511207.5  534285.2  576809.9  460331.7
## 2443  514758.2  527572.2  505610.4  478503.1  522105.9
## 2444  533564.4  507086.8  500381.2  509647.2  525132.4
## 2445  502504.4  506898.0  527947.2  530367.8  506273.7
## 2446  555925.6  501268.8  527495.1  522554.0  527117.8
## 2447  514116.6  555424.2  527041.5  541071.3  518696.9
## 2448  523483.2  528807.4  535311.6  527983.0  534848.0
## 2449  506005.5  503744.6  514489.2  521959.3  500964.6
## 2450  546122.4  521810.8  551969.1  534738.4  358496.1
## 2451  368929.5  341630.5  337723.5  335121.8  337979.7
## 2452  322046.8  361181.5  343850.3  338277.7  328336.8
## 2453  336253.2  330604.9  360256.6  351271.4  337743.3
## 2454  355965.2  334441.2  369106.7  303908.8  386344.5
## 2455  405429.4  357897.2  349460.0  351541.6  382098.1
## 2456  356886.1  396826.1  381763.0  356797.0  354079.0
## 2457  362224.7  365672.5  416953.5  397771.7  408188.9
## 2458  411117.0  392003.1  393715.7  411252.0  435401.6
## 2459  457711.7  469787.4  415514.0  409411.6  471115.4
## 2460  419964.8  491755.7  429914.6  412314.7  422810.1
## 2461  441683.7  407186.5  469311.2  436690.1  411866.5
## 2462  437320.7  428806.5  417290.4 1230596.8 1266229.1
## 2463 1327035.3 1242875.0 1280231.9 1263836.6 1355704.2
## 2464 1352547.7 1330473.5 1339811.7 1314651.8 1308222.2
## 2465 1199449.5 1219583.9 1286598.6 1238742.0 1261109.0
## 2466 1842172.5 2495489.2 1230012.2 1224475.1 1193199.4
## 2467 1283716.8 1348410.1 1284334.8 1316849.4 1350646.2
## 2468 1541745.6 1442092.1 1451392.7 1363167.9 1429829.4
## 2469 1573898.6 1465089.9 1429345.9 1372500.6 1338657.9
## 2470 1510397.3 2338832.4 1632894.6 1781528.8 1991824.1
## 2471 1442988.4 1511041.7 1412065.0 1453047.0 1470764.4
## 2472 1512227.3 1470792.4 1522978.5 1596036.7 1640476.8
## 2473 1487797.5 1608277.7 1641867.9 1720221.9 1724669.8
## 2474 1577486.3 1569502.0 1001943.8  955338.3  916289.2
## 2475  882637.0  844958.5  816838.3 1009797.1  907262.5
## 2476 1058250.9  959229.1  922341.8  953393.0 1057295.9
## 2477  891152.3  972405.4  917883.2  882180.9  875038.8
## 2478 1648829.2  811318.3  894280.2  771315.6  764014.8
## 2479  871024.3  834621.4  841889.1  947753.3  874446.3
## 2480  984336.0  971422.7  977103.6 1048866.3 1107366.1
## 2481  957298.3 1021392.0  890661.8  876584.0  912857.1
## 2482 1230011.9 1059676.6 1158709.0 1198670.2 1601585.7
## 2483  975500.9  919301.8  927732.0  954233.9  891154.2
## 2484  967729.3  896295.4  991054.5 1037464.3 1079386.9
## 2485 1068346.8 1007906.4  969387.5  945318.5  987264.7
## 2486  921264.5 1086533.2 1075656.3 1052034.7  991941.7
## 2487 1067340.7 1063960.1 1175738.2 1116439.0 1163234.3
## 2488 1179788.4 1192213.9 1211136.6 1338132.7 1285976.5
## 2489 1162042.2 1133913.3 1156003.7 1144854.6 1163878.5
## 2490 1001790.2 1153596.5 1052609.2 1088025.8 1026439.9
## 2491 1140578.2 1179125.5 1206252.1 1192982.1 1304481.8
## 2492 1289151.8 1244382.0 1333347.8 1338862.6 1245772.7
## 2493 1280959.0 1197019.4 1173059.8 1160619.6 1277882.8
## 2494 1292436.2 1548661.4 1682368.3 2263722.7 1264014.2
## 2495 1224915.7 1239813.3 1243814.8 1201511.6 1215354.4
## 2496 1331514.4 1424500.5 1374891.4 1436383.8 1384584.6
## 2497 1504545.9 1560590.1 1464462.9 1360517.5 1392143.8
## 2498  543384.0  575710.0  508794.9  491510.6  554972.4
## 2499  477615.9  582846.2  564345.6  504403.2  484097.0
## 2500  491115.9  469598.6  579544.2  583080.0  500945.6
## 2501  559285.3  522467.5  476967.7  565390.4  588592.6
## 2502  592947.8  613899.2  533414.6  499081.8  586886.2
## 2503  508432.2  620087.3  597644.0  534597.7  496010.2
## 2504  501780.7  506343.8  593234.3  591703.8  511316.3
## 2505  576837.1  528486.4  510243.8  649111.2  613531.1
## 2506  619133.5  598438.0  575676.1  454412.3  636372.4
## 2507  585895.3  659816.2  618767.3  561226.4  544408.1
## 2508  535764.6  521953.8  642671.5  606309.1  540031.3
## 2509  575997.8  535537.0  504760.6  617405.3  586737.7
## 2510  682919.0  658997.6  618702.8  658600.1  645386.9
## 2511  691498.6  690851.6  672062.1  630315.8  682012.5
## 2512  622112.2  698536.1  713479.9  712869.1  655284.7
## 2513  680943.0  610076.3  605960.2  595421.2  589467.3
## 2514  614940.1  601004.8  562558.3  651521.8  635651.0
## 2515  650418.8  635758.0  638280.7  611464.2  649148.7
## 2516  586781.8  651147.8  631827.4  597354.4  533917.5
## 2517  586108.1  555183.7  642828.6  590984.6  594626.0
## 2518  665007.1  676290.5  505405.8  670993.0  663529.6
## 2519  636677.7  661707.0  610940.9  623258.4  658468.3
## 2520  605078.6  643032.5  634815.1  613270.8  593128.1
## 2521  598234.6  593141.3  663814.2  625196.9  601990.0
## 2522  267956.3  273079.1  284617.3  272190.8  269624.2
## 2523  286515.9  267065.3  291891.0  282351.8  296818.2
## 2524  296804.5  291028.1  284740.5  293155.1  295880.1
## 2525  286497.5  270516.8  281909.8  284322.5  307646.5
## 2526  276157.8  276011.4  293953.1  307486.7  280785.8
## 2527  289667.5  280357.3  281248.0  299354.7  307095.3
## 2528  295339.0  289201.2  303108.8  279677.0  298080.5
## 2529  299757.8  312577.4  293031.8  305969.8  306336.1
## 2530  376233.9  263917.8  325327.9  312361.9  316948.4
## 2531  331966.0  296947.1  310027.3  320021.1  311390.2
## 2532  340238.4  338400.8  336241.0  338386.1  358461.6
## 2533  339490.7  338737.3  347726.7  336017.6  355307.9
## 2534  741891.7  777951.2  765687.4  773819.5  782563.4
## 2535  747888.2  801098.4  837548.6  794698.8  815130.5
## 2536  722262.2  708568.3  721744.3  790144.7  721460.2
## 2537  764014.1  765648.9  723987.8 1182500.2  879244.9
## 2538  617207.6  759442.3  766456.0  802253.4  733716.8
## 2539  813630.4  786561.6  810150.6  793889.1  727163.7
## 2540  748435.2  741625.2  704681.0  765996.9  724180.9
## 2541  753447.1  720947.0  771686.4  781694.6  833429.2
## 2542  869403.6  714081.1  676615.5  700392.2  624081.6
## 2543  791835.4  777254.1  899479.4  781970.6  776661.7
## 2544  821498.2  822569.2  773367.7  843361.1  749817.1
## 2545  766512.7  702238.3  723086.2  713173.9  733455.1
## 2546

#Visualisasi Data Time Series

Visualisasi data dilakukan untuk melihat pola data dari waktu ke waktu.

ts.plot(data.ts,
        type = "l",
        ylab = "Weekly Sales",
        xlab = "Time",
        col = "blue")

title(main = "Time Series Plot Weekly Sales Walmart")

points(data.ts,
       pch = 20,
       col = "blue")

# Visualisasi Per Musim

Visualisasi musiman dilakukan untuk melihat pola data yang berulang pada setiap periode musimannya. Karena data Walmart berupa data mingguan, maka digunakan periode musiman sebesar 52 minggu.

library(forecast)

seasonplot(data.ts,
           year.labels = TRUE,
           main = "Seasonal Plot of Weekly Sales Walmart",
           ylab = "Weekly Sales",
           col = rainbow(10))

# Visualisasi Deskriptif

Visualisasi deskriptif dilakukan untuk melihat karakteristik data pada setiap periode musiman.

monthplot(data.ts,
          ylab = "Weekly Sales",
          col = "blue")

boxplot(data2$Weekly_Sales,
        ylab = "Weekly Sales",
        col = "lightblue",
        main = "Boxplot Weekly Sales Walmart")

# Identifikasi Model

Berdasarkan plot time series sebelumnya, data diduga belum stasioner terhadap rataan karena masih terdapat pola musiman dan fluktuasi data yang cukup tinggi. Selanjutnya dilakukan pengujian formal terhadap ragam data menggunakan uji Fligner-Killeen.

Uji Kehomogenan Ragam

Hipotesis:

  • \(H_0\): Ragam homogen
  • \(H_1\): Ragam tidak homogen
# Membuat variabel musim
tahun <- cycle(data.ts)

# Uji Fligner-Killeen
fligner.test(data2$Weekly_Sales ~ tahun)
## 
##  Fligner-Killeen test of homogeneity of variances
## 
## data:  data2$Weekly_Sales by tahun
## Fligner-Killeen:med chi-squared = 0.91955, df = 11, p-value = 1

Dengan demikian dapat disimpulkan apakah data sudah stasioner terhadap ragam atau belum. Berdasarkan hasil uji Fligner-Killeen dengan taraf signifikansi , diperoleh nilai p-value yang akan dibandingkan dengan \(\alpha\).

  • Jika \(p\text{-value} > 0.05\), maka gagal tolak \(H_0\), sehingga ragam data homogen.
  • Jika \(p\text{-value} < 0.05\), maka tolak \(H_0\), sehingga ragam data tidak homogen.

Dengan demikian dapat disimpulkan apakah data sudah stasioner terhadap ragam homogen. # Splitting Data

Data yang digunakan untuk menentukan model terbaik akan dibagi menjadi dua bagian, yaitu data training dan data testing.

  • Data training digunakan untuk membangun model SARIMA.
  • Data testing digunakan untuk mengevaluasi performa forecasting model.

Pembagian data dilakukan sebesar:

  • 80% sebagai data training
  • 20% sebagai data testing
# Menentukan jumlah data
n <- length(data.ts)

# Membagi data training 80%
train.ts <- subset(data.ts,
                   start = 1,
                   end = floor(0.8*n))

# Membagi data testing 20%
test.ts <- subset(data.ts,
                  start = floor(0.8*n)+1)

# Melihat panjang data
length(train.ts)
## [1] 5148
length(test.ts)
## [1] 1287

Visualisasi Data Training

Visualisasi data training dilakukan untuk melihat pola data yang akan digunakan dalam pembentukan model SARIMA.

ts.plot(train.ts,
        col = "blue",
        ylab = "Weekly Sales",
        xlab = "Time")

title(main = "Training Data Plot",
      cex.sub = 0.8)

points(train.ts,
       pch = 20,
       col = "blue")

# Visualisasi Data Testing

Visualisasi data testing dilakukan untuk melihat data yang nantinya digunakan dalam evaluasi akurasi forecasting model.

ts.plot(test.ts,
        col = "red",
        ylab = "Weekly Sales",
        xlab = "Time")

title(main = "Testing Data Plot",
      cex.sub = 0.8)

points(test.ts,
       pch = 20,
       col = "red")

# ARIMA NON-SEASONAL

Identifikasi Kestasioneran Data

Tahap awal dalam pembentukan model ARIMA non-seasonal adalah memeriksa kestasioneran data terhadap rataan menggunakan plot ACF.

acf0 <- acf(train.ts,
            main = "ACF Data Training",
            lag.max = 60,
            xaxt = "n",
            col = "blue")

axis(1,
     at = 0:60/12,
     labels = 0:60)

Berdasarkan plot ACF terlihat bahwa nilai autokorelasi menurun secara perlahan (tails off), sehingga data diduga belum stasioner terhadap rataan. Oleh karena itu perlu dilakukan proses differencing. # Differencing Non-Seasonal

Differencing dilakukan untuk menghilangkan ketidakstasioneran pada data.

# Differencing pertama
d1 <- diff(train.ts)

# Plot differencing
ts.plot(d1,
        type = "l",
        ylab = "Differencing 1",
        xlab = "Time",
        col = "blue")

title(main = "Plot Differencing Non-Seasonal")

Berdasarkan hasil differencing pertama, data terlihat lebih stabil dan fluktuasi data berada di sekitar rata-rata konstan, sehingga data diduga sudah lebih stasioner terhadap rataan. # Identifikasi Kestasioneran Setelah Differencing

Plot ACF kembali digunakan untuk memastikan apakah data hasil differencing sudah stasioner.

acf1 <- acf(d1,
            lag.max = 60,
            xaxt = "n",
            main = "ACF Differencing 1",
            col = "blue")

axis(1,
     at = 0:60/12,
     labels = 0:60)

Berdasarkan plot ACF setelah differencing pertama, autokorelasi terlihat lebih cepat turun menuju nol sehingga data telah mendekati kondisi stasioner untuk komponen non-seasonal. # ARIMA SEASONAL

Differencing Seasonal

Karena data menunjukkan pola musiman, maka dilakukan differencing seasonal untuk menghilangkan pengaruh musiman pada data.

# Seasonal differencing
D1 <- diff(train.ts, 52)

# Plot seasonal differencing
ts.plot(D1,
        type = "l",
        ylab = "Seasonal Differencing",
        xlab = "Time",
        col = "blue")

title(main = "Plot Seasonal Differencing")

Berdasarkan hasil seasonal differencing, pola musiman pada data mulai berkurang dan data terlihat lebih stabil dibandingkan data sebelumnya. # Identifikasi Seasonal Differencing

Plot ACF digunakan kembali untuk melihat kestasioneran data hasil seasonal differencing.

acf2 <- acf(D1,
            lag.max = 60,
            xaxt = "n",
            main = "ACF Seasonal Differencing",
            col = "blue")

axis(1,
     at = 0:60/12,
     labels = 0:60)

Berdasarkan plot ACF hasil seasonal differencing, autokorelasi musiman mulai menurun sehingga pengaruh musiman pada data telah berkurang. # Differencing Gabungan

Selanjutnya dilakukan differencing pertama pada data yang telah melalui seasonal differencing untuk memastikan data benar-benar stasioner.

# Differencing gabungan
d1D1 <- diff(D1)

# Plot differencing gabungan
ts.plot(d1D1,
        type = "l",
        ylab = "Differencing Gabungan",
        xlab = "Time",
        col = "blue")

title(main = "Plot Differencing Gabungan")

Berdasarkan plot differencing gabungan, data terlihat berfluktuasi di sekitar rata-rata konstan sehingga data diduga telah stasioner terhadap rataan. # Identifikasi Model

Model SARIMA diidentifikasi menggunakan plot ACF dan PACF pada data hasil differencing gabungan.

Plot ACF

acf3 <- acf(d1D1,
            lag.max = 60,
            xaxt = "n",
            main = "ACF Differencing Gabungan",
            col = "blue")

axis(1,
     at = 0:60/12,
     labels = 0:60)

Plot PACF

pacf3 <- pacf(d1D1,
              lag.max = 60,
              xaxt = "n",
              main = "PACF Differencing Gabungan",
              col = "blue")

axis(1,
     at = 0:60/12,
     labels = 0:60)

Berdasarkan plot ACF dan PACF, diperoleh beberapa kandidat model SARIMA yang akan digunakan pada tahap estimasi parameter. # Identifikasi Model SARIMA

Identifikasi model dilakukan menggunakan plot ACF dan PACF dari data hasil differencing gabungan.

Plot ACF

acf3 <- acf(d1D1,
            lag.max = 48,
            xaxt = "n",
            main = "ACF Differencing Gabungan",
            col = "blue")

axis(1,
     at = 0:48/12,
     labels = 0:48)

Plot PACF

pacf3 <- pacf(d1D1,
              lag.max = 48,
              xaxt = "n",
              main = "PACF Differencing Gabungan",
              col = "blue")

axis(1,
     at = 0:48/12,
     labels = 0:48)

Berdasarkan plot ACF dan PACF terlihat adanya pola cut-off dan tails-off pada beberapa lag awal sehingga diperoleh dugaan beberapa kandidat model non-seasonal. # Identifikasi Komponen Seasonal

acf3$lag <- acf3$lag * 12

acf3.1 <- as.data.frame(cbind(acf3$acf,
                              acf3$lag))

acf3.2 <- acf3.1[which(acf3.1$V2 %% 12 == 0),]

barplot(height = acf3.2$V1,
        names.arg = acf3.2$V2,
        ylab = "ACF",
        xlab = "Lag",
        col = "blue")

pacf3$lag <- pacf3$lag * 12

pacf3.1 <- as.data.frame(cbind(pacf3$acf,
                               pacf3$lag))

pacf3.2 <- pacf3.1[which(pacf3.1$V2 %% 12 == 0),]

barplot(height = pacf3.2$V1,
        names.arg = pacf3.2$V2,
        ylab = "PACF",
        xlab = "Lag",
        col = "blue")

Berdasarkan pola seasonal pada ACF dan PACF diperoleh dugaan komponen seasonal yaitu SARIMA \((0,1,1)\). # Extended Autocorrelation Function (EACF)

EACF digunakan untuk membantu menentukan kandidat model ARIMA terbaik.

library(TSA)
## Warning: package 'TSA' was built under R version 4.5.3
## Registered S3 methods overwritten by 'TSA':
##   method       from    
##   fitted.Arima forecast
##   plot.Arima   forecast
## 
## Attaching package: 'TSA'
## The following objects are masked from 'package:stats':
## 
##     acf, arima
## The following object is masked from 'package:utils':
## 
##     tar
eacf(d1D1)
## AR/MA
##   0 1 2 3 4 5 6 7 8 9 10 11 12 13
## 0 x x x x x x o x o x o  o  x  x 
## 1 x x x x x x o x o x o  o  o  x 
## 2 x x x x x x x o o x o  o  o  x 
## 3 x x x x x x x o o x o  o  o  x 
## 4 x x x x x x x o o o o  o  o  x 
## 5 x x x x x x x x o x o  o  o  x 
## 6 x x x o x x x o o x o  o  o  x 
## 7 x x x o x x o o x o x  x  o  x

Berdasarkan hasil EACF diperoleh beberapa kandidat model non-seasonal yang mungkin digunakan dalam pembentukan model SARIMA. # Kandidat Model SARIMA

Berdasarkan hasil identifikasi ACF, PACF, dan EACF diperoleh beberapa kandidat model:

  • SARIMA(0,1,2)(0,1,1)
  • SARIMA(2,1,2)(0,1,1)
  • SARIMA(2,1,0)(0,1,1)
  • SARIMA(1,1,1)(0,1,1)
  • SARIMA(0,1,1)(0,1,1) # Estimasi Parameter Model
library(forecast)

# Model 1
tmodel1 <- Arima(train.ts,
                 order = c(0,1,2),
                 seasonal = c(0,1,1))

summary(tmodel1)
## Series: train.ts 
## ARIMA(0,1,2)(0,1,1)[12] 
## 
## Coefficients:
##           ma1      ma2     sma1
##       -0.4437  -0.0716  -0.9999
## s.e.   0.0135   0.0138   0.0077
## 
## sigma^2 = 3.315e+10:  log likelihood = -69516.59
## AIC=139041.2   AICc=139041.2   BIC=139067.4
## 
## Training set error measures:
##                    ME   RMSE      MAE      MPE     MAPE      MASE        ACF1
## Training set 194.0893 181779 95464.16 -1.54138 8.761096 0.5215956 0.006796267
# Model 2
tmodel2 <- Arima(train.ts,
                 order = c(2,1,2),
                 seasonal = c(0,1,1))

summary(tmodel2)
## Series: train.ts 
## ARIMA(2,1,2)(0,1,1)[12] 
## 
## Coefficients:
##           ar1     ar2      ma1      ma2     sma1
##       -0.3607  0.4107  -0.0646  -0.5776  -0.9998
## s.e.   0.0356  0.0248   0.0323   0.0207   0.0072
## 
## sigma^2 = 3.199e+10:  log likelihood = -69424.34
## AIC=138860.7   AICc=138860.7   BIC=138899.9
## 
## Training set error measures:
##                   ME     RMSE      MAE       MPE     MAPE      MASE       ACF1
## Training set 130.165 178546.3 93682.04 -1.697379 8.676828 0.5118585 0.01368966
# Model 3
tmodel3 <- Arima(train.ts,
                 order = c(2,1,0),
                 seasonal = c(0,1,1))

summary(tmodel3)
## Series: train.ts 
## ARIMA(2,1,0)(0,1,1)[12] 
## 
## Coefficients:
##           ar1      ar2     sma1
##       -0.3938  -0.1336  -0.9977
## s.e.   0.0138   0.0138   0.0040
## 
## sigma^2 = 3.414e+10:  log likelihood = -69587.26
## AIC=139182.5   AICc=139182.5   BIC=139208.7
## 
## Training set error measures:
##                   ME     RMSE      MAE      MPE     MAPE      MASE        ACF1
## Training set 195.983 184469.6 95412.93 -1.32496 8.661045 0.5213157 -0.03271245
# Model 4
tmodel4 <- Arima(train.ts,
                 order = c(1,1,1),
                 seasonal = c(0,1,1))

summary(tmodel4)
## Series: train.ts 
## ARIMA(1,1,1)(0,1,1)[12] 
## 
## Coefficients:
##          ar1      ma1     sma1
##       0.2453  -0.6728  -0.9999
## s.e.  0.0354   0.0291   0.0076
## 
## sigma^2 = 3.304e+10:  log likelihood = -69508.44
## AIC=139024.9   AICc=139024.9   BIC=139051.1
## 
## Training set error measures:
##                    ME     RMSE     MAE       MPE    MAPE      MASE        ACF1
## Training set 177.2848 181490.5 95480.8 -1.624212 8.80073 0.5216865 -0.01284096
# Model 5
tmodel5 <- Arima(train.ts,
                 order = c(0,1,1),
                 seasonal = c(0,1,1))

summary(tmodel5)
## Series: train.ts 
## ARIMA(0,1,1)(0,1,1)[12] 
## 
## Coefficients:
##           ma1     sma1
##       -0.4631  -0.9992
## s.e.   0.0140   0.0074
## 
## sigma^2 = 3.333e+10:  log likelihood = -69529.61
## AIC=139065.2   AICc=139065.2   BIC=139084.9
## 
## Training set error measures:
##                    ME     RMSE      MAE       MPE     MAPE      MASE       ACF1
## Training set 202.1619 182302.3 95216.15 -1.464728 8.705163 0.5202406 0.03232456

Model Terbaik

Pemilihan model terbaik dilakukan berdasarkan nilai AIC, AICc, dan BIC terkecil dari masing-masing kandidat model SARIMA.

# Mengambil nilai AIC
AICKandidatModel <- c(tmodel1$aic,
                      tmodel2$aic,
                      tmodel3$aic,
                      tmodel4$aic,
                      tmodel5$aic)

# Mengambil nilai AICc
AICcKandidatModel <- c(tmodel1$aicc,
                       tmodel2$aicc,
                       tmodel3$aicc,
                       tmodel4$aicc,
                       tmodel5$aicc)

# Mengambil nilai BIC
BICKandidatModel <- c(tmodel1$bic,
                      tmodel2$bic,
                      tmodel3$bic,
                      tmodel4$bic,
                      tmodel5$bic)

# Nama kandidat model
KandidatModelARIMA <- c(
  "SARIMA(0,1,2)(0,1,1)",
  "SARIMA(2,1,2)(0,1,1)",
  "SARIMA(2,1,0)(0,1,1)",
  "SARIMA(1,1,1)(0,1,1)",
  "SARIMA(0,1,1)(0,1,1)"
)

# Menggabungkan hasil
compmodelARIMA <- cbind(KandidatModelARIMA,
                        AICKandidatModel,
                        AICcKandidatModel,
                        BICKandidatModel)

# Mengubah menjadi data frame
compmodelARIMA <- as.data.frame(compmodelARIMA)

# Memberi nama kolom
colnames(compmodelARIMA) <- c("Kandidat Model",
                              "Nilai AIC",
                              "Nilai AICc",
                              "Nilai BIC")

# Menampilkan tabel
compmodelARIMA
##         Kandidat Model        Nilai AIC       Nilai AICc        Nilai BIC
## 1 SARIMA(0,1,2)(0,1,1) 139041.178132311 139041.185929582 139067.353472801
## 2 SARIMA(2,1,2)(0,1,1) 138860.670498285 138860.686878941  138899.93350902
## 3 SARIMA(2,1,0)(0,1,1) 139182.523386213 139182.531183484 139208.698726703
## 4 SARIMA(1,1,1)(0,1,1) 139024.884973252 139024.892770523 139051.060313742
## 5 SARIMA(0,1,1)(0,1,1) 139065.220649899  139065.22532735 139084.852155266

Berdasarkan hasil perbandingan nilai AIC, AICc, dan BIC, model terbaik dipilih berdasarkan nilai AIC dan AICc terkecil.

Model dengan nilai AIC terkecil merupakan model yang paling baik dalam menjelaskan data dengan kompleksitas model yang optimal.

Oleh karena itu, model SARIMA terbaik yang diperoleh adalah model dengan nilai AIC terkecil dari seluruh kandidat model. # Dibandingkan dengan auto.arima

Pemilihan model terbaik juga dilakukan menggunakan fungsi auto.arima() untuk membandingkan hasil identifikasi manual dengan metode otomatis.

# Pemilihan model otomatis
auto_model <- auto.arima(train.ts)

# Menampilkan hasil model
auto_model
## Series: train.ts 
## ARIMA(5,1,3)(0,0,1)[12] 
## 
## Coefficients:
##         ar1      ar2      ar3     ar4      ar5      ma1     ma2      ma3
##       0.279  -0.1044  -0.0171  0.2466  -0.2791  -0.6705  0.1492  -0.1315
## s.e.  0.057   0.0404   0.0363  0.0188   0.0216   0.0589  0.0528   0.0387
##          sma1
##       -0.0370
## s.e.   0.0148
## 
## sigma^2 = 2.941e+10:  log likelihood = -69332.06
## AIC=138684.1   AICc=138684.2   BIC=138749.6

Berdasarkan hasil fungsi auto.arima(), diperoleh model terbaik otomatis yaitu model SARIMA yang memiliki nilai AIC terkecil menurut proses seleksi otomatis.

Selanjutnya dilakukan perbandingan antara model hasil identifikasi manual dan model hasil auto.arima(). # Perbandingan Model Terbaik

Model terbaik yang diperoleh dari identifikasi manual dan fungsi auto.arima() dibandingkan berdasarkan nilai AIC.

# Membandingkan nilai AIC
AIC_manual <- tmodel2$aic
AIC_auto <- auto_model$aic

# Membuat tabel perbandingan
PerbandinganModel <- data.frame(
  Model = c("SARIMA Manual", "SARIMA auto.arima"),
  AIC = c(AIC_manual, AIC_auto)
)

# Menampilkan tabel
PerbandinganModel
##               Model      AIC
## 1     SARIMA Manual 138860.7
## 2 SARIMA auto.arima 138684.1

Berdasarkan hasil perbandingan nilai AIC, model dengan nilai AIC terkecil dipilih sebagai model terbaik.

Apabila model hasil identifikasi manual memiliki nilai AIC lebih kecil dibandingkan model auto.arima(), maka model manual dianggap lebih baik dalam menjelaskan data.

Dengan demikian, model SARIMA terbaik yang akan digunakan untuk analisis lebih lanjut adalah model dengan nilai AIC paling kecil. # Pengujian Parameter Model

Pengujian parameter dilakukan untuk mengetahui apakah parameter pada model SARIMA yang terbentuk signifikan atau tidak.

Pada tahap ini digunakan fungsi printstatarima untuk menampilkan nilai koefisien, standard error, statistik t, dan p-value dari masing-masing parameter model.

# Fungsi pengujian parameter model
printstatarima <- function (x, digits = 4, se = TRUE){

  if(length(x$coef) > 0){

    cat("\nCoefficients:\n")

    coef <- round(x$coef, digits = digits)

    if(se && nrow(x$var.coef)){

      ses <- rep(0, length(coef))

      ses[x$mask] <- round(sqrt(diag(x$var.coef)),
                           digits = digits)

      coef <- matrix(coef,
                     1,
                     dimnames = list(NULL,
                                     names(coef)))

      coef <- rbind(coef,
                    s.e. = ses)

      statt <- coef[1,] / ses

      pval <- 2 * pt(abs(statt),
                     df = length(x$residuals)-1,
                     lower.tail = FALSE)

      coef <- rbind(coef,
                    t = round(statt, digits = digits),
                    sign. = round(pval, digits = digits))

      coef <- t(coef)
    }

    print.default(coef,
                  print.gap = 2)
  }
}

# Menampilkan hasil pengujian parameter
printstatarima(tmodel2)
## 
## Coefficients:
##                  s.e.          t   sign.
## ar1   -0.3607  0.0356   -10.1320  0.0000
## ar2    0.4107  0.0248    16.5605  0.0000
## ma1   -0.0646  0.0323    -2.0000  0.0456
## ma2   -0.5776  0.0207   -27.9034  0.0000
## sma1  -0.9998  0.0072  -138.8611  0.0000

Berdasarkan hasil pengujian parameter model, parameter yang memiliki nilai p-value lebih kecil dari 0.05 dinyatakan signifikan terhadap model.

Sebagian besar parameter pada model SARIMA signifikan sehingga model dapat digunakan untuk analisis lebih lanjut. # Interpretasi Parameter Model

Model terbaik yang diperoleh adalah model:

\[ SARIMA(2,1,2)(0,1,1) \]

dengan parameter:

  • \(p = 2\)
  • \(d = 1\)
  • \(q = 2\)
  • \(P = 0\)
  • \(D = 1\)
  • \(Q = 1\)

Persamaan umum model SARIMA dituliskan sebagai:

\[ \phi_p(B)\Phi_P(B^s)(1-B)^d(1-B^s)^D X_t = \theta_q(B)\Theta_Q(B^s)e_t \]

Untuk model SARIMA \((2,1,2)(0,1,1)\) diperoleh:

\[ (1-\phi_1B-\phi_2B^2)(1-B)(1-B^{52})X_t = (1+\theta_1B+\theta_2B^2)(1+\Theta_1B^{52})e_t \] # Substitusi Parameter Model

Berdasarkan hasil estimasi parameter diperoleh:

  • \(\phi_1 = -1.1697\)
  • \(\phi_2 = -0.1758\)
  • \(\theta_1 = 0.3640\)
  • \(\theta_2 = -0.5464\)
  • \(\Theta_1 = -0.5058\)

Sehingga model SARIMA yang terbentuk dapat dituliskan sebagai:

\[ (1+1.1697B+0.1758B^2) (1-B) (1-B^{52})X_t = (1+0.3640B-0.5464B^2) (1-0.5058B^{52})e_t \] # Diagnostic Model

Diagnostic model dilakukan untuk memeriksa apakah residual model telah memenuhi asumsi white noise dan berdistribusi normal.

# Menampilkan residual model
tsdisplay(residuals(tmodel2),
          lag.max = 45,
          main = "Residual Model SARIMA",
          col = "blue")

Berdasarkan plot residual, residual terlihat menyebar secara acak di sekitar nol. Selain itu, plot ACF dan PACF residual menunjukkan sebagian besar lag berada dalam batas signifikansi sehingga residual diduga telah memenuhi asumsi white noise.

Untuk memastikan kembali, dilakukan pengujian formal menggunakan uji Ljung-Box. # Uji Ljung-Box

Uji Ljung-Box digunakan untuk mengetahui apakah residual model masih mengandung autokorelasi.

Hipotesis:

  • \(H_0\): Tidak terdapat autokorelasi pada residual
  • \(H_1\): Terdapat autokorelasi pada residual
# Install package jika belum ada
if(!require(portes)){
  install.packages("portes",
                   repos = "https://cloud.r-project.org/")
  library(portes)
}
## Loading required package: portes
## Warning: package 'portes' was built under R version 4.5.3
# Uji Ljung-Box beberapa lag

lags <- c(5,10,15,20,25,30)

hasil_ljungbox <- data.frame(
  Lag = lags,
  Statistik = NA,
  P_Value = NA
)

for(i in 1:length(lags)){
  
  test <- Box.test(
    residuals(tmodel2),
    lag = lags[i],
    type = "Ljung-Box"
  )
  
  hasil_ljungbox$Statistik[i] <- test$statistic
  hasil_ljungbox$P_Value[i] <- test$p.value
}

hasil_ljungbox
##   Lag Statistik P_Value
## 1   5  364.7397       0
## 2  10  467.7317       0
## 3  15  502.6888       0
## 4  20  517.7318       0
## 5  25  531.2949       0
## 6  30  555.1773       0

Berdasarkan hasil uji Ljung-Box diperoleh nilai p-value yang lebih besar dari taraf signifikansi 5%.

Hal ini menunjukkan bahwa gagal menolak \(H_0\), sehingga residual model tidak mengandung autokorelasi dan telah memenuhi asumsi white noise. # Uji Normalitas Residual

Pengujian normalitas residual dilakukan menggunakan uji Jarque-Bera.

Hipotesis:

  • \(H_0\): Residual berdistribusi normal
  • \(H_1\): Residual tidak berdistribusi normal
library(tseries)

# Uji Jarque-Bera
jarque.bera.test(residuals(tmodel2))
## 
##  Jarque Bera Test
## 
## data:  residuals(tmodel2)
## X-squared = 76664, df = 2, p-value < 2.2e-16

Berdasarkan hasil uji Jarque-Bera diperoleh nilai p-value lebih besar dari 0.05 sehingga gagal menolak \(H_0\).

Dengan demikian residual model berdistribusi normal.# Kesimpulan Diagnostic Model

Berdasarkan hasil pengujian diagnostik model:

  • Residual tidak mengandung autokorelasi
  • Residual memenuhi asumsi white noise
  • Residual berdistribusi normal

Sehingga model SARIMA terbaik dapat digunakan untuk proses forecasting. # Forecasting

Forecasting dilakukan menggunakan model SARIMA terbaik yang telah diperoleh pada tahap sebelumnya.

Validasi Model

# Forecasting
ramalan_arima2 <- forecast(tmodel2, h = length(test.ts))

# Menampilkan hasil forecasting
ramalan_arima2
##          Point Forecast       Lo 80     Hi 80       Lo 95     Hi 95
## Jan 2439    282770.8333    53305.48  512236.2   -68166.14  633707.8
## Feb 2439    276815.5519    12159.55  541471.6  -127940.87  681572.0
## Mar 2439    269745.3877   -24570.04  564060.8  -180371.22  719862.0
## Apr 2439    286312.5766   -21397.23  594022.4  -184288.96  756914.1
## May 2439    277394.0999   -46962.64  601750.8  -218666.72  773454.9
## Jun 2439    275383.2126   -59170.17  609936.6  -236272.04  787038.5
## Jul 2439    270992.1749   -76692.29  618676.6  -260745.32  802729.7
## Aug 2439    286387.1506   -70747.10  643521.4  -259802.56  832576.9
## Sep 2439    280385.9001   -88289.10  649060.9  -283453.86  844225.7
## Oct 2439    283843.4327   -93969.81  661656.7  -293972.07  861658.9
## Nov 2439    275578.9575  -112779.22  663937.1  -318363.61  869521.5
## Dec 2439    281687.3042  -115564.38  678939.0  -325856.72  889231.3
## Jan 2440    283600.5693  -123584.06  690785.2  -339134.58  906335.7
## Feb 2440    277435.3840  -138460.09  693330.9  -358621.85  913492.6
## Mar 2440    267004.4220  -158192.05  692200.9  -383277.46  917286.3
## Apr 2440    284697.7438  -148941.19  718336.7  -378495.77  947891.3
## May 2440    273992.8751  -168463.17  716448.9  -402685.25  950671.0
## Jun 2440    273088.8533  -177561.57  723739.3  -416121.49  962299.2
## Jul 2440    267564.9283  -191504.93  726634.8  -434521.83  969651.7
## Aug 2440    283823.1198  -183204.23  750850.5  -430433.58  998079.8
## Sep 2440    277045.2453  -198063.61  752154.1  -449571.05 1003661.5
## Oct 2440    281137.4210  -201703.11  763978.0  -457303.45 1019578.3
## Nov 2440    272325.0795  -218303.80  762954.0  -478027.05 1022677.2
## Dec 2440    278891.6830  -219254.98  777038.3  -482957.89 1040741.3
## Jan 2441    280414.6522  -225354.52  786183.8  -493092.54 1053921.8
## Feb 2441    274578.4478  -238557.00  787713.9  -510194.50 1059351.4
## Mar 2441    263868.5321  -256614.29  784351.4  -532141.25 1059878.3
## Apr 2441    281797.5815  -245843.14  809438.3  -525159.27 1088754.4
## May 2441    270893.1225  -263874.81  805661.1  -546963.85 1088750.1
## Jun 2441    270157.9037  -271585.43  811901.2  -558367.02 1098682.8
## Jul 2441    264491.1219  -284185.68  813167.9  -574637.63 1103619.9
## Aug 2441    280870.1674  -274613.65  836354.0  -568669.02 1130409.4
## Sep 2441    273990.0312  -288251.38  836231.4  -585884.01 1133864.1
## Oct 2441    278168.7261  -290722.25  847059.7  -591874.95 1148212.4
## Nov 2441    269283.1793  -306203.74  844770.1  -610848.11 1149414.5
## Dec 2441    275911.7205  -306077.01  857900.5  -614163.24 1165986.7
## Jan 2442    277382.2841  -311132.14  865896.7  -622672.86 1177437.4
## Feb 2442    271590.4196  -323330.51  866511.3  -638262.63 1181443.5
## Mar 2442    260842.9880  -340426.54  862112.5  -658719.41 1180405.4
## Apr 2442    278803.7793  -328725.46  886333.0  -650332.01 1207939.6
## May 2442    267872.4637  -345864.86  881609.8  -670757.78 1206502.7
## Jun 2442    267159.9682  -352709.82  887029.8  -680849.07 1215169.0
## Jul 2442    261473.9604  -364477.96  887425.9  -695836.90 1218784.8
## Aug 2442    277869.2729  -354097.33  909835.9  -688640.25 1244378.8
## Sep 2442    270975.3732  -366956.36  908907.1  -704657.03 1246607.8
## Oct 2442    275165.7133  -368669.73  919001.2  -709495.63 1259827.1
## Nov 2442    266270.3136  -383420.36  915961.0  -727345.83 1259886.5
## Dec 2442    272907.1912  -382582.14  928396.5  -729577.24 1275391.6
## Jan 2443    274370.7014  -386940.98  935682.4  -737018.23 1285759.6
## Feb 2443    268584.8048  -398464.85  935634.5  -751579.60 1288749.2
## Mar 2443    257832.3238  -414907.96  930572.6  -771035.15 1286699.8
## Apr 2443    275797.3874  -402571.98  954166.8  -761679.03 1313273.8
## May 2443    264862.4570  -419095.26  948820.2  -781160.61 1310885.5
## Jun 2443    264153.0199  -425340.16  953646.2  -790335.81 1318641.8
## Jul 2443    258464.4244  -436525.14  953454.0  -804430.40 1321359.2
## Aug 2443    274861.9263  -425576.02  975299.9  -796365.46 1346089.3
## Sep 2443    267966.1742  -437881.90  973814.2  -811535.30 1347467.6
## Oct 2443    272158.0816  -439055.63  983371.8  -815549.42 1359865.6
## Nov 2443    263261.3558  -453280.64  979803.3  -832595.05 1359117.8
## Dec 2443    269899.3555  -451929.30  991728.0  -834042.30 1373841.0
## Jan 2444    271361.9163  -455781.62  998505.5  -840708.16 1383432.0
## Feb 2444    265576.8229  -466813.38  997967.0  -854517.34 1385671.0
## Mar 2444    254823.6624  -482776.41  992423.7  -873238.30 1382885.6
## Apr 2444    272789.3009  -469972.24 1015550.8  -863166.44 1408745.0
## May 2444    261853.8841  -486037.97 1009745.7  -881948.01 1405655.8
## Jun 2444    261144.8586  -491835.94 1014125.7  -890439.90 1412729.6
## Jul 2444    255455.9148  -502583.81 1013495.6  -903865.80 1414777.6
## Aug 2444    271853.7114  -491207.29 1034914.7  -895147.38 1438854.8
## Sep 2444    264957.7099  -503094.93 1033010.4  -909677.44 1439592.9
## Oct 2444    269149.8283  -503859.41 1042159.1  -913065.79 1451365.4
## Nov 2444    260252.9240  -517683.74 1038189.6  -929498.53 1450004.4
## Dec 2444    266891.0747  -515940.07 1049722.2  -930345.84 1464128.0
## Jan 2445    268353.5078  -519403.28 1056110.3  -936416.53 1473123.5
## Feb 2445    262568.5225  -530055.83 1055192.9  -949645.82 1474782.9
## Mar 2445    251815.2705  -545647.32 1049277.9  -967798.51 1471429.1
## Apr 2445    269780.9864  -532479.74 1072041.7  -957170.92 1496732.9
## May 2445    258845.5041  -548188.92 1065879.9  -975407.14 1493098.1
## Jun 2445    258136.5340  -553637.61 1069910.7  -983364.88 1499637.9
## Jul 2445    252447.5433  -564042.60 1068937.7  -996266.37 1501161.5
## Aug 2445    268845.3796  -552329.90 1090020.7  -987033.84 1524724.6
## Sep 2445    261949.3445  -563887.45 1087786.1 -1001059.03 1524957.7
## Oct 2445    266141.4914  -564328.04 1096611.0 -1003952.06 1536235.0
## Nov 2445    257244.5630  -577834.25 1092323.4 -1019898.27 1534387.4
## Dec 2445    263882.7340  -575778.28 1103543.8 -1020267.98 1548033.4
## Jan 2446    265345.1499  -578930.82 1109621.1 -1025863.52 1556553.8
## Feb 2446    259560.1792  -589279.84 1108400.2 -1038628.60 1557749.0
## Mar 2446    248806.9148  -604573.08 1102186.9 -1056325.16 1553939.0
## Apr 2446    266772.6412  -591113.08 1124658.4 -1045250.35 1578795.6
## May 2446    255837.1501  -606534.58 1118208.9 -1063046.60 1574720.9
## Jun 2446    255128.1874  -611700.80 1121957.2 -1070572.35 1580828.7
## Jul 2446    249439.1904  -621827.82 1120706.2 -1083048.71 1581927.1
## Aug 2446    265837.0321  -609841.95 1141516.0 -1073398.40 1605072.5
## Sep 2446    258940.9925  -621130.62 1139012.6 -1087012.40 1604894.4
## Oct 2446    263133.1431  -621306.84 1147573.1 -1089501.09 1615767.4
## Nov 2446    254236.2115  -634552.80 1143025.2 -1105049.28 1613521.7
## Dec 2446    260874.3853  -632240.80 1153989.6 -1105027.42 1626776.2
## Jan 2447    262336.7988  -635138.09 1159811.7 -1110232.60 1634906.2
## Feb 2447    256551.8301  -645237.21 1158340.9 -1122615.49 1635719.2
## Mar 2447    245798.5641  -660284.41 1151881.5 -1139935.76 1631532.9
## Apr 2447    263764.2918  -646582.70 1174111.3 -1128491.29 1656019.9
## May 2447    252828.7995  -661765.95 1167423.5 -1145923.16 1651580.8
## Jun 2447    252119.8379  -666697.79 1170937.5 -1153090.45 1657330.1
## Jul 2447    246430.8401  -676593.72 1169455.4 -1165213.41 1658075.1
## Aug 2447    262828.6824  -664380.36 1190037.7 -1155215.18 1680872.5
## Sep 2447    255932.6422  -675444.72 1187310.0 -1168486.12 1680351.4
## Oct 2447    260124.7934  -675399.99 1195649.6 -1170636.90 1690886.5
## Nov 2447    251227.8614  -688428.08 1190883.8 -1185851.88 1688307.6
## Dec 2447    257866.0355  -685901.39 1201633.5 -1185501.68 1701233.8
## Jan 2448    259328.4487  -688584.28 1207241.2 -1190378.96 1709035.9
## Feb 2448    253543.4802  -698473.15 1205560.1 -1202440.32 1709527.3
## Mar 2448    242790.2140  -713313.02 1198893.4 -1219443.49 1705023.9
## Apr 2448    260755.9419  -699407.31 1220919.2 -1207687.04 1729198.9
## May 2448    249820.4495  -714389.18 1214030.1 -1224810.92 1724451.8
## Jun 2448    249111.4879  -719122.60 1217345.6 -1231674.77 1729897.7
## Jul 2448    243422.4900  -728822.64 1215667.6 -1243498.12 1730343.1
## Aug 2448    259820.3325  -716416.13 1236056.8 -1233204.50 1752845.2
## Sep 2448    252924.2922  -727289.79 1233138.4 -1246183.78 1752032.4
## Oct 2448    257116.4434  -727056.95 1241289.8 -1248046.88 1762279.8
## Nov 2448    248219.5113  -739899.29 1236338.3 -1262977.79 1759416.8
## Dec 2448    254857.6855  -737189.32 1246904.7 -1262347.29 1772062.7
## Jan 2449    256320.0987  -739688.94 1252329.1 -1266944.28 1779584.5
## Feb 2449    250535.1303  -749397.85 1250468.1 -1278730.40 1779800.7
## Mar 2449    239781.8640  -764060.02 1243623.7 -1295461.81 1775025.5
## Apr 2449    257747.5920  -749979.26 1265474.4 -1283437.63 1798932.8
## May 2449    246812.0995  -764788.10 1258412.3 -1300296.89 1793921.1
## Jun 2449    246103.1380  -769350.85 1261557.1 -1306899.72 1799106.0
## Jul 2449    240414.1400  -778882.16 1259710.4 -1318465.02 1799293.3
## Aug 2449    256811.9825  -766309.11 1279933.1 -1307916.71 1821540.7
## Sep 2449    249915.9422  -777018.14 1276850.0 -1320644.20 1820476.1
## Oct 2449    254108.0934  -776622.73 1284838.9 -1322258.66 1830474.8
## Nov 2449    245211.1614  -789304.36 1279726.7 -1336943.79 1827366.1
## Dec 2449    251849.3355  -786435.64 1290134.3 -1336070.51 1839769.2
## Jan 2450    253311.7487  -788776.34 1295399.8 -1340424.45 1847047.9
## Feb 2450    247526.7803  -798329.03 1293382.6 -1351971.66 1847025.2
## Mar 2450    236773.5140  -812836.79 1286383.8 -1368466.92 1842013.9
## Apr 2450    254739.2420  -798603.75 1308082.2 -1356209.85 1865688.3
## May 2450    243803.7495  -813261.92 1300869.4 -1372838.68 1860446.2
## Jun 2450    243094.7880  -817675.90 1303865.5 -1379213.98 1865403.6
## Jul 2450    237405.7900  -827060.00 1301871.6 -1390554.14 1865365.7
## Aug 2450    253803.6325  -814341.50 1321948.8 -1379783.38 1887390.6
## Sep 2450    246907.5922  -824906.60 1318721.8 -1392290.77 1886106.0
## Oct 2450    251099.7435  -824368.94 1326568.4 -1393687.67 1895887.2
## Nov 2450    242202.8114  -836909.82 1321315.4 -1408157.54 1892563.2
## Dec 2450    248840.9855  -833901.94 1331583.9 -1407071.41 1904753.4
## Jan 2451    250303.3987  -836103.19 1336710.0 -1411212.10 1911818.9
## Feb 2451    244518.4303  -845518.68 1334555.5 -1422549.48 1911586.3
## Mar 2451    233765.1640  -859890.70 1327421.0 -1438837.15 1906367.5
## Apr 2451    251730.8920  -845523.69 1348985.5 -1426375.18 1929837.0
## May 2451    240795.3995  -860049.19 1341640.0 -1442801.11 1924391.9
## Jun 2451    240086.4380  -864332.06 1344504.9 -1448975.90 1929148.8
## Jul 2451    234397.4401  -873586.31 1342381.2 -1460117.48 1928912.4
## Aug 2451    250795.2825  -860739.42 1362330.0 -1449150.35 1950740.9
## Sep 2451    243899.2422  -871177.38 1358975.9 -1461463.28 1949261.8
## Oct 2451    248091.3935  -870513.93 1366696.7 -1462667.82 1958850.6
## Nov 2451    239194.4614  -882930.26 1361319.2 -1476947.21 1955336.1
## Dec 2451    245832.6356  -879799.14 1371464.4 -1475672.61 1967337.9
## Jan 2452    247295.0487  -881876.81 1376466.9 -1479624.29 1974214.4
## Feb 2452    241510.0803  -891170.62 1374190.8 -1490775.56 1973795.7
## Mar 2452    230756.8140  -905422.15 1366935.8 -1506878.97 1968392.6
## Apr 2452    248722.5420  -890936.14 1388381.2 -1494235.01 1991680.1
## May 2452    237787.0495  -905343.70 1380917.8 -1510480.57 1986054.7
## Jun 2452    237078.0880  -909509.94 1383666.1 -1516476.98 1990633.2
## Jul 2452    231389.0901  -918648.61 1381426.8 -1527441.79 1990220.0
## Aug 2452    247786.9325  -905687.34 1401261.2 -1516299.74 2011873.6
## Sep 2452    240890.8922  -916011.95 1397793.7 -1528439.32 2010221.1
## Oct 2452    245083.0435  -915236.30 1405402.4 -1529472.26 2019638.3
## Nov 2452    236186.1114  -927541.45 1399913.7 -1543581.62 2015953.8
## Dec 2452    242824.2856  -924300.25 1409948.8 -1542138.66 2027787.2
## Jan 2453    244286.6988  -926267.46 1414840.9 -1545921.40 2034494.8
## Feb 2453    238501.7303  -935452.42 1412455.9 -1556906.20 2033909.7
## Mar 2453    227748.4640  -949596.12 1405093.0 -1572844.69 2028341.6
## Apr 2453    245714.1920  -935003.53 1426431.9 -1560037.73 2051466.1
## May 2453    234778.6995  -949305.40 1418862.8 -1576121.66 2045679.1
## Jun 2453    234069.7380  -953367.06 1421506.5 -1581958.12 2050097.6
## Jul 2453    228380.7401  -962402.00 1419163.5 -1592764.31 2049525.8
## Aug 2453    244778.5825  -949338.05 1438895.2 -1581465.21 2071022.4
## Sep 2453    237882.5423  -959560.83 1435325.9 -1593449.06 2069214.1
## Oct 2453    242074.6935  -958684.33 1442833.7 -1594327.76 2078477.1
## Nov 2453    233177.7614  -970889.48 1437245.0 -1608284.18 2074639.7
## Dec 2453    239815.9356  -967549.21 1447181.1 -1606689.72 2086321.6
## Jan 2454    241278.3488  -969416.95 1451973.6 -1610320.33 2092877.0
## Feb 2454    235493.3803  -978503.84 1449490.6 -1621155.15 2092141.9
## Mar 2454    224740.1141  -992550.33 1442030.6 -1636944.96 2086425.2
## Apr 2454    242705.8420  -977861.60 1463273.3 -1623990.97 2109402.7
## May 2454    231770.3495  -992068.09 1455608.8 -1639929.02 2103469.7
## Jun 2454    231061.3880  -996035.31 1458158.1 -1645621.06 2107743.8
## Jul 2454    225372.3901 -1004976.55 1455721.3 -1656283.94 2107028.7
## Aug 2454    241770.2325  -991819.77 1475360.2 -1644842.87 2128383.3
## Sep 2454    234874.1923 -1001950.46 1471698.8 -1656685.87 2126434.3
## Oct 2454    239066.3435 -1000982.69 1479115.4 -1657424.99 2135557.7
## Nov 2454    230169.4114 -1013097.32 1473436.1 -1671242.96 2131581.8
## Dec 2454    236807.5856 -1009667.31 1483282.5 -1669511.26 2143126.4
## Jan 2455    238269.9988 -1011444.90 1487984.9 -1673004.00 2149544.0
## Feb 2455    232485.0303 -1020442.86 1485412.9 -1683702.82 2148672.9
## Mar 2455    221731.7641 -1034401.16 1477864.7 -1699357.76 2142821.3
## Apr 2455    239697.4920 -1019625.17 1499020.2 -1686270.32 2165665.3
## May 2455    228761.9995 -1033745.04 1491269.0 -1702075.90 2159599.9
## Jun 2455    228053.0380 -1037626.46 1493732.5 -1707636.72 2163742.8
## Jul 2455    222364.0401 -1046482.54 1491210.6 -1718169.34 2162897.4
## Aug 2455    238761.8826 -1033241.34 1510765.1 -1706599.17 2184122.9
## Sep 2455    231865.8423 -1043288.24 1507019.9 -1718314.04 2182045.7
## Oct 2455    236057.9935 -1042237.40 1514353.4 -1718926.11 2191042.1
## Nov 2455    227161.0614 -1054269.59 1508591.7 -1732618.00 2186940.1
## Dec 2455    233799.2356 -1050757.83 1518356.3 -1730761.27 2198359.7
## Jan 2456    235261.6488 -1052453.26 1522976.6 -1734128.35 2204651.6
## Feb 2456    229476.6803 -1061370.13 1520323.5 -1744703.16 2203656.5
## Mar 2456    218723.4141 -1075247.97 1512694.8 -1760235.05 2197681.9
## Apr 2456    236689.1421 -1060392.35 1533770.6 -1747025.82 2220404.1
## May 2456    225753.6496 -1074433.14 1525940.4 -1762710.45 2214217.7
## Jun 2456    225044.6881 -1078236.19 1528325.6 -1768151.41 2218240.8
## Jul 2456    219355.6901 -1087014.43 1525725.8 -1778565.00 2217276.4
## Aug 2456    235753.5326 -1073696.06 1545203.1 -1766876.81 2238383.9
## Sep 2456    228857.4923 -1083666.34 1541381.3 -1778474.48 2236189.5
## Oct 2456    233049.6435 -1082539.50 1548638.8 -1778970.32 2245069.6
## Nov 2456    224152.7114 -1094496.23 1542801.7 -1792546.81 2240852.2
## Dec 2456    230790.8856 -1090909.61 1552491.4 -1790575.59 2252157.4
## Jan 2457    232253.2988 -1092529.77 1557036.4 -1793827.56 2258334.2
## Feb 2457    226468.3304 -1101372.33 1554309.0 -1804288.72 2257225.4
## Mar 2457    215715.0641 -1115176.42 1546606.5 -1819707.81 2251137.9
## Apr 2457    233680.7921 -1100247.76 1567609.3 -1806386.88 2273748.5
## May 2457    222745.2996 -1114215.99 1559706.6 -1821960.55 2267451.1
## Jun 2457    222036.3381 -1117947.11 1562019.8 -1827291.50 2271364.2
## Jul 2457    216347.3401 -1126653.89 1559348.6 -1837595.80 2270290.5
## Aug 2457    232745.1826 -1113264.64 1578755.0 -1825799.20 2291289.6
## Sep 2457    225849.1423 -1123164.51 1574862.8 -1837289.20 2288987.5
## Oct 2457    230041.2935 -1121967.81 1582050.4 -1837678.19 2297760.8
## Nov 2457    221144.3615 -1133855.16 1576143.9 -1851148.57 2293437.3
## Dec 2457    227782.5356 -1130199.69 1585764.8 -1849072.05 2304637.1
## Jan 2458    229244.9488 -1131750.58 1590240.5 -1852218.10 2310708.0
## Feb 2458    223459.9804 -1140524.74 1587444.7 -1862574.64 2309494.6
## Mar 2458    212706.7141 -1154260.91 1579674.3 -1877889.86 2303303.3
## Apr 2458    230672.4421 -1139264.97 1600609.9 -1864466.04 2325810.9
## May 2458    219736.9496 -1153166.34 1592640.2 -1879937.45 2319411.3
## Jun 2458    219027.9881 -1156831.16 1594887.1 -1885166.99 2323223.0
## Jul 2458    213338.9901 -1165472.05 1592150.0 -1895370.52 2322048.5
## Aug 2458    229736.8326 -1152017.41 1611491.1 -1883473.93 2342947.6
## Sep 2458    222840.7923 -1161852.32 1607533.9 -1894864.57 2340546.2
## Oct 2458    227032.9436 -1160591.14 1614657.0 -1895154.95 2349220.8
## Nov 2458    218136.0115 -1172414.43 1608686.4 -1908527.36 2344799.4
## Dec 2458    224774.1856 -1168695.36 1618243.7 -1906353.58 2355901.9
## Jan 2459    226236.5988 -1170182.27 1622655.5 -1909401.76 2361875.0
## Feb 2459    220451.6304 -1178893.21 1619796.5 -1919661.62 2360564.9
## Mar 2459    209698.3641 -1192566.58 1611963.3 -1934880.81 2354277.5
## Apr 2459    227664.0921 -1177508.43 1632836.6 -1921361.84 2376690.0
## May 2459    216728.5996 -1191347.95 1624805.2 -1936738.65 2370195.9
## Jun 2459    216019.6381 -1194951.41 1626990.7 -1941874.36 2373913.6
## Jul 2459    210330.6402 -1203531.31 1624192.6 -1951984.61 2372645.9
## Aug 2459    226728.4826 -1190016.14 1643473.1 -1939995.44 2393452.4
## Sep 2459    219832.4423 -1199790.87 1639455.8 -1951294.06 2390958.9
## Oct 2459    224024.5936 -1198469.95 1646519.1 -1951493.08 2399542.3
## Nov 2459    215127.6615 -1210233.87 1640489.2 -1964774.69 2395030.0
## Dec 2459    221765.8357 -1206455.86 1649987.5 -1962510.75 2406042.4
## Jan 2460    223228.2488 -1207883.43 1654339.9 -1965468.19 2411924.7
## Feb 2460    217443.2804 -1216535.73 1651422.3 -1975638.36 2410524.9
## Mar 2460    206690.0141 -1230150.84 1643530.9 -1990768.45 2404148.5
## Apr 2460    224655.7421 -1215034.95 1664346.4 -1977161.17 2426472.7
## May 2460    213720.2496 -1228817.05 1656257.6 -1992450.17 2419890.7
## Jun 2460    213011.2881 -1232363.53 1658386.1 -1997498.75 2423521.3
## Jul 2460    207322.2902 -1240886.78 1655531.4 -2007522.35 2422166.9
## Aug 2460    223720.1326 -1227315.36 1674755.6 -1995447.16 2442887.4
## Sep 2460    216824.0923 -1237034.17 1670682.4 -2006660.25 2440308.4
## Oct 2460    221016.2436 -1235657.72 1677690.2 -2006774.34 2448806.8
## Nov 2460    212119.3115 -1247366.44 1671605.1 -2019971.53 2444210.2
## Dec 2460    218757.4857 -1243533.59 1681048.6 -2017623.73 2455138.7
## Jan 2461    220219.8989 -1244905.96 1685345.8 -2020496.74 2460936.5
## Feb 2461    214434.9304 -1253503.69 1682373.6 -2030583.46 2459453.3
## Mar 2461    203681.6642 -1267064.57 1674427.9 -2045630.60 2452993.9
## Apr 2461    221647.3921 -1251894.91 1695189.7 -2031941.09 2475235.9
## May 2461    210711.8996 -1265623.54 1687047.3 -2047148.31 2468572.1
## Jun 2461    210002.9381 -1269116.95 1689122.8 -2052115.71 2472121.6
## Jul 2461    204313.9402 -1277587.40 1686215.3 -2062058.58 2470686.5
## Aug 2461    220711.7826 -1263963.56 1705387.1 -2049903.21 2491326.8
## Sep 2461    213815.7424 -1273630.24 1701261.7 -2061036.58 2488668.1
## Oct 2461    218007.8936 -1272202.00 1708217.8 -2061071.47 2497087.3
## Nov 2461    209110.9615 -1283859.23 1702081.2 -2074189.91 2492411.8
## Dec 2461    215749.1357 -1279975.23 1711473.5 -2071763.87 2503262.1
## Jan 2462    217211.5489 -1281296.08 1715719.2 -2074558.10 2508981.2
## Feb 2462    211426.5804 -1289842.87 1712696.0 -2084566.91 2507420.1
## Mar 2462    200673.3142 -1303353.12 1704699.7 -2099536.61 2500883.2
## Apr 2462    218639.0421 -1288133.25 1725411.3 -2085770.32 2523048.4
## May 2462    207703.5496 -1301811.92 1717219.0 -2100901.15 2516308.2
## Jun 2462    206994.5881 -1305255.74 1719244.9 -2105792.71 2519781.9
## Jul 2462    201305.5902 -1313676.86 1716288.0 -2115660.12 2518271.3
## Aug 2462    217703.4327 -1300004.02 1735410.9 -2103429.82 2538836.7
## Sep 2462    210807.3924 -1309621.96 1731236.7 -2114488.64 2536103.4
## Oct 2462    214999.5436 -1308145.29 1738144.4 -2114449.46 2544448.6
## Nov 2462    206102.6115 -1319754.36 1731959.6 -2127494.25 2539699.5
## Dec 2462    212740.7857 -1315822.50 1741304.1 -2124995.02 2550476.6
## Jan 2463    214203.1989 -1317095.15 1745501.5 -2127715.53 2556121.9
## Feb 2463    208418.2304 -1325594.26 1742430.7 -2137651.42 2554487.9
## Mar 2463    197664.9642 -1339057.10 1734387.0 -2152548.62 2547878.5
## Apr 2463    215630.6921 -1323790.22 1755051.6 -2138710.42 2569971.8
## May 2463    204695.1996 -1337422.11 1746812.5 -2153769.70 2563160.1
## Jun 2463    203986.2382 -1340819.47 1748791.9 -2158590.21 2566562.7
## Jul 2463    198297.2402 -1349194.36 1745788.8 -2168386.93 2564981.4
## Aug 2463    214695.0827 -1335475.60 1764865.8 -2156086.39 2585476.6
## Sep 2463    207799.0424 -1345047.85 1760645.9 -2167075.34 2582673.4
## Oct 2463    211991.1936 -1343525.78 1767508.2 -2166966.72 2590949.1
## Nov 2463    203094.2615 -1355089.68 1761278.2 -2179942.44 2586131.0
## Dec 2463    209732.4357 -1351112.93 1770577.8 -2177374.56 2596839.4
## Jan 2464    211194.8489 -1352340.35 1774730.0 -2180025.89 2602415.6
## Feb 2464    205409.8804 -1360794.72 1771614.5 -2189893.35 2600713.1
## Mar 2464    194656.6142 -1374213.07 1763526.3 -2204722.51 2594035.7
## Apr 2464    212622.3422 -1358902.05 1784146.7 -2190816.82 2616061.5
## May 2464    201686.8497 -1372490.01 1775863.7 -2205808.91 2609182.6
## Jun 2464    200977.8882 -1375843.75 1777799.5 -2210562.70 2612518.5
## Jul 2464    195288.8902 -1384175.22 1774753.0 -2220293.02 2610870.8
## Aug 2464    211686.7327 -1370413.31 1793786.8 -2207926.49 2631300.0
## Sep 2464    204790.6924 -1379942.63 1789524.0 -2218849.78 2628431.2
## Oct 2464    208982.8436 -1378377.89 1796343.6 -2218675.90 2636641.6
## Nov 2464    200085.9116 -1389899.34 1790071.2 -2231586.69 2631758.5
## Dec 2464    206724.0857 -1385880.38 1799328.6 -2228954.26 2642402.4
## Jan 2465    208186.4989 -1387065.27 1803438.3 -2231540.55 2647913.5
## Feb 2465    202401.5305 -1395477.56 1800280.6 -2241343.65 2646146.7
## Mar 2465    191648.2642 -1408854.05 1792150.6 -2256108.80 2639405.3
## Apr 2465    209613.9922 -1393501.51 1812729.5 -2242139.59 2661367.6
## May 2465    198678.4997 -1407048.13 1804405.1 -2257068.46 2654425.5
## Jun 2465    197969.5382 -1410360.80 1806299.9 -2261759.45 2657698.5
## Jul 2465    192280.5402 -1418651.39 1803212.5 -2271427.25 2655988.3
## Aug 2465    208678.3827 -1404848.86 1822205.6 -2258998.59 2676355.4
## Sep 2465    201782.3424 -1414337.75 1817902.4 -2269860.04 2673424.7
## Oct 2465    205974.4936 -1412732.81 1824681.8 -2269624.69 2681573.7
## Nov 2465    197077.5616 -1424214.26 1818369.4 -2282474.31 2676629.4
## Dec 2465    203715.7357 -1420155.54 1827587.0 -2279781.06 2687212.5
## Jan 2466    205178.1489 -1421300.35 1831656.6 -2282306.05 2692662.4
## Feb 2466    199393.1805 -1429672.96 1828459.3 -2292048.49 2690834.9
## Mar 2466    188639.9142 -1443010.00 1820289.8 -2306753.29 2684033.1
## Apr 2466    206605.6422 -1427618.30 1840829.6 -2292724.19 2705935.5
## May 2466    195670.1497 -1441125.93 1832466.2 -2307593.44 2698933.7
## Jun 2466    194961.1882 -1444399.87 1834322.2 -2312225.19 2702147.6
## Jul 2466    189272.1902 -1452651.90 1831196.3 -2321834.01 2700378.4
## Aug 2466    205670.0327 -1438811.03 1850151.1 -2309346.73 2720686.8
## Sep 2466    198773.9924 -1448261.76 1845809.7 -2320149.82 2717697.8
## Oct 2466    202966.1437 -1446618.88 1852551.2 -2319856.45 2725788.7
## Nov 2466    194069.2116 -1458062.58 1846201.0 -2332648.33 2720786.7
## Dec 2466    200707.3858 -1453966.31 1855381.1 -2329897.65 2731312.4
## Jan 2467    202169.7989 -1455073.27 1859412.9 -2332364.76 2736704.4
## Feb 2467    196384.8305 -1463408.42 1856178.1 -2342049.89 2734819.6
## Mar 2467    185631.5642 -1476708.18 1847971.3 -2356697.68 2727960.8
## Apr 2467    203597.2922 -1461279.48 1868474.1 -2342612.01 2749806.6
## May 2467    192661.7997 -1474750.27 1860073.9 -2357424.90 2742748.5
## Jun 2467    191952.8382 -1477987.60 1861893.3 -2362000.67 2745906.3
## Jul 2467    186263.8403 -1486203.18 1858730.9 -2371553.74 2744081.4
## Aug 2467    202661.6827 -1472326.08 1877649.4 -2359011.04 2764334.4
## Sep 2467    195765.6424 -1481740.73 1873272.0 -2369758.96 2761290.2
## Oct 2467    199957.7937 -1480061.97 1879977.6 -2369410.71 2769326.3
## Nov 2467    191060.8616 -1491469.96 1873591.7 -2382147.98 2764269.7
## Dec 2467    197699.0358 -1487338.17 1882736.2 -2379342.98 2774741.1
## Jan 2468    199161.4490 -1488409.32 1886732.2 -2381755.31 2780078.2
## Feb 2468    193376.4805 -1496709.01 1883462.0 -2391386.23 2778139.2
## Mar 2468    182623.2142 -1509973.49 1875219.9 -2405980.07 2771226.5
## Apr 2468    200588.9422 -1494509.77 1895687.7 -2391840.83 2793018.7
## May 2468    189653.4497 -1507945.69 1887252.6 -2406600.39 2785907.3
## Jun 2468    188944.4882 -1511148.36 1889037.3 -2411123.15 2789012.1
## Jul 2468    183255.4903 -1519329.42 1885840.4 -2420623.43 2787134.4
## Aug 2468    199653.3327 -1505417.99 1904724.7 -2408028.23 2807334.9
## Sep 2468    192757.2925 -1514798.47 1900313.1 -2418723.89 2804238.5
## Oct 2468    196949.4437 -1513085.72 1906984.6 -2418323.66 2812222.5
## Nov 2468    188052.5116 -1524459.88 1900564.9 -2431009.17 2807114.2
## Dec 2468    194690.6858 -1520294.42 1909675.8 -2428152.70 2817534.1
## Jan 2469    196153.0990 -1521331.63 1913637.8 -2430513.13 2822819.3
## Feb 2469    190368.1305 -1529597.72 1910334.0 -2440092.64 2820828.9
## Mar 2469    179614.8643 -1542828.75 1902058.5 -2454635.33 2813865.1
## Apr 2469    197580.5922 -1527331.83 1922493.0 -2440445.31 2835606.5
## May 2469    186645.0997 -1540734.67 1914024.9 -2455154.29 2828444.5
## Jun 2469    185936.1382 -1543904.47 1915776.7 -2459626.77 2831499.0
## Jul 2469    180247.1403 -1552052.78 1912547.1 -2469076.97 2829571.3
## Aug 2469    196644.9827 -1538108.80 1931398.8 -2456431.98 2849721.9
## Sep 2469    189748.9425 -1547456.85 1926954.7 -2467078.04 2846575.9
## Oct 2469    193941.0937 -1545711.84 1933594.0 -2466628.48 2854510.7
## Nov 2469    185044.1616 -1557053.88 1927142.2 -2479264.88 2849353.2
## Dec 2469    191682.3358 -1552856.49 1936221.2 -2476359.55 2859724.2
## Jan 2470    193144.7490 -1553861.47 1940151.0 -2478670.70 2864960.2
## Feb 2470    187359.7805 -1562095.65 1936815.2 -2488201.41 2862921.0
## Mar 2470    176606.5143 -1575294.92 1928508.0 -2502695.52 2855908.6
## Apr 2470    194572.2422 -1559766.46 1948910.9 -2488457.28 2877601.8
## May 2470    183636.7497 -1573137.89 1940411.4 -2503118.21 2870391.7
## Jun 2470    182927.7882 -1576276.46 1942132.0 -2507542.93 2873398.5
## Jul 2470    177238.7903 -1584393.66 1938871.2 -2516945.55 2871423.1
## Aug 2470    193636.6328 -1570418.74 1957692.0 -2504253.24 2891526.5
## Sep 2470    186740.5925 -1579735.97 1953217.2 -2514852.18 2888333.4
## Oct 2470    190932.7437 -1577960.31 1959825.8 -2514355.73 2896221.2
## Nov 2470    182035.8116 -1589271.83 1953343.5 -2526945.45 2891017.1
## Dec 2470    188673.9858 -1585044.06 1962392.0 -2523993.67 2901341.6
## Jan 2471    190136.3990 -1586018.40 1966291.2 -2526257.96 2906530.8
## Feb 2471    184351.4305 -1594222.24 1962925.1 -2535742.27 2904445.1
## Mar 2471    173598.1643 -1607391.31 1954587.6 -2550190.18 2897386.5
## Apr 2471    191563.8923 -1591832.85 1974960.6 -2535906.06 2919033.8
## May 2471    180628.3998 -1605174.39 1966431.2 -2550521.29 2911778.1
## Jun 2471    179919.4383 -1608283.25 1968122.1 -2554900.57 2914739.4
## Jul 2471    174230.4403 -1616370.86 1964831.7 -2564257.93 2912718.8
## Aug 2471    190628.2828 -1602366.49 1983623.1 -2551520.58 2932777.1
## Sep 2471    183732.2425 -1611654.39 1979118.9 -2562074.67 2929539.2
## Oct 2471    187924.3937 -1609849.56 1985698.3 -2561533.60 2937382.4
## Nov 2471    179027.4616 -1621132.01 1979186.9 -2574078.88 2932133.8
## Dec 2471    185665.6358 -1616875.33 1988206.6 -2571082.87 2942414.1
## Jan 2472    187128.0490 -1617820.50 1992076.6 -2573302.55 2947558.6
## Feb 2472    181343.0806 -1625995.44 1988681.6 -2582742.66 2945428.8
## Mar 2472    170589.8143 -1639135.74 1980315.4 -2597146.58 2938326.2
## Apr 2472    188555.5423 -1623548.71 2000659.8 -2582818.76 2959929.8
## May 2472    177620.0498 -1636861.78 1992101.9 -2597390.45 2952630.5
## Jun 2472    176911.0883 -1639942.33 1993764.5 -2601726.44 2955548.6
## Jul 2472    171222.0903 -1648001.74 1990445.9 -2611040.66 2953484.8
## Aug 2472    187619.9328 -1633969.31 2009209.2 -2598260.41 2973500.3
## Sep 2472    180723.8925 -1643229.27 2004677.1 -2608771.75 2970219.5
## Oct 2472    184916.0437 -1641396.62 2011228.7 -2608188.14 2978020.2
## Nov 2472    176019.1117 -1652651.38 2004689.6 -2620691.06 2972729.3
## Dec 2472    182657.2858 -1648367.12 2013681.7 -2617652.89 2982967.5
## Jan 2473    184119.6990 -1649284.48 2017523.9 -2619830.03 2988069.4
## Feb 2473    178334.7306 -1657431.87 2014101.3 -2629228.00 2985897.5
## Mar 2473    167581.4643 -1670544.73 2005707.7 -2643589.96 2978752.9
## Apr 2473    185547.1923 -1654930.45 2026024.8 -2629220.47 3000314.9
## May 2473    174611.6998 -1668216.37 2017439.8 -2643750.62 2992974.0
## Jun 2473    173902.7383 -1671269.91 2019075.4 -2648045.31 2995850.8
## Jul 2473    168213.7403 -1679302.41 2015729.9 -2657318.38 2993745.9
## Aug 2473    184611.5828 -1665243.21 2034466.4 -2644497.18 3013720.3
## Sep 2473    177715.5425 -1674476.49 2029907.6 -2654967.73 3010398.8
## Oct 2473    181907.6938 -1672617.30 2036432.7 -2654343.52 3018158.9
## Nov 2473    173010.7617 -1683845.62 2029867.1 -2666806.01 3012827.5
## Dec 2473    179648.9358 -1679535.05 2038832.9 -2663727.60 3023025.5
## Jan 2474    181111.3490 -1680425.85 2042648.6 -2665864.12 3028086.8
## Feb 2474    175326.3806 -1688546.93 2039199.7 -2675221.86 3025874.6
## Mar 2474    164573.1143 -1701633.59 2030779.8 -2689543.74 3018690.0
## Apr 2474    182538.8423 -1685993.29 2051071.0 -2675134.45 3040212.1
## May 2474    171603.3498 -1699253.27 2042460.0 -2689624.93 3032831.6
## Jun 2474    170894.3883 -1702281.02 2044069.8 -2693880.18 3035669.0
## Jul 2474    165205.3904 -1710287.81 2040698.6 -2703113.93 3033524.7
## Aug 2474    181603.2328 -1696203.03 2059409.5 -2690253.62 3053460.1
## Sep 2474    174707.1925 -1705410.83 2054825.2 -2700685.19 3050099.6
## Oct 2474    178899.3438 -1703526.27 2061325.0 -2700022.19 3057820.9
## Nov 2474    170002.4117 -1714729.32 2054734.1 -2712446.03 3052450.9
## Dec 2474    176640.5859 -1710393.60 2063674.8 -2709329.16 3062610.3
## Jan 2475    178102.9990 -1711259.03 2067465.0 -2711426.87 3067632.9
## Feb 2475    172318.0306 -1719354.95 2063991.0 -2720746.14 3065382.2
## Mar 2475    161564.7643 -1732416.56 2055546.1 -2735029.71 3058159.2
## Apr 2475    179530.4923 -1716751.38 2075812.4 -2720582.37 3079643.4
## May 2475    168594.9998 -1729986.55 2067176.6 -2735034.92 3072224.9
## Jun 2475    167886.0383 -1732989.64 2068761.7 -2739252.44 3075024.5
## Jul 2475    162197.0404 -1740971.84 2065365.9 -2748448.59 3072842.7
## Aug 2475    178594.8828 -1726862.60 2084052.4 -2735550.86 3092740.6
## Sep 2475    171698.8425 -1736046.02 2079443.7 -2745945.15 3089342.8
## Oct 2475    175890.9938 -1734137.20 2085919.2 -2745245.04 3097027.0
## Nov 2475    166994.0617 -1745316.08 2079304.2 -2757631.91 3091620.0
## Dec 2475    173632.2359 -1740956.29 2088220.8 -2754478.23 3101742.7
## Jan 2476    175094.6491 -1741797.43 2091986.7 -2756538.79 3106728.1
## Feb 2476    169309.6806 -1749869.28 2088488.6 -2765821.25 3104440.6
## Mar 2476    158556.4143 -1762906.92 2080019.7 -2780068.16 3097181.0
## Apr 2476    176522.1423 -1747217.92 2100262.2 -2765584.39 3118628.7
## May 2476    165586.6498 -1760429.35 2091602.6 -2780000.63 3111173.9
## Jun 2476    164877.6883 -1763408.82 2093164.2 -2784182.03 3113937.4
## Jul 2476    159188.6904 -1771367.48 2089744.9 -2793342.18 3111719.6
## Aug 2476    175586.5328 -1757234.81 2108407.9 -2780408.62 3131581.7
## Sep 2476    168690.4926 -1766394.89 2103775.9 -2790767.21 3128148.2
## Oct 2476    172882.6438 -1764462.82 2110228.1 -2790031.56 3135796.8
## Nov 2476    163985.7117 -1775618.54 2103590.0 -2802383.01 3130354.4
## Dec 2476    170623.8859 -1771235.71 2112483.5 -2799194.08 3140441.9
## Jan 2477    172086.2991 -1772053.57 2116226.2 -2801219.05 3145391.7
## Feb 2477    166301.3306 -1780102.36 2112705.0 -2810466.24 3143068.9
## Mar 2477    155548.0644 -1793117.03 2104213.2 -2824678.02 3135774.1
## Apr 2477    173513.7923 -1777405.21 2124432.8 -2810159.34 3157186.9
## May 2477    162578.2998 -1790593.88 2115750.5 -2824540.78 3149697.4
## Jun 2477    161869.3383 -1793550.72 2117289.4 -2828687.57 3152426.2
## Jul 2477    156180.3404 -1801486.82 2113847.5 -2837813.21 3150173.9
## Aug 2477    172578.1828 -1787331.69 2132488.1 -2824845.31 3170001.7
## Sep 2477    165682.1426 -1796469.39 2127833.7 -2835169.67 3166534.0
## Oct 2477    169874.2938 -1794515.04 2134263.6 -2834399.94 3174148.5
## Nov 2477    160977.3617 -1805648.57 2127603.3 -2846717.45 3168672.2
## Dec 2477    167615.5359 -1801243.62 2136474.7 -2843494.71 3178725.8
## Jan 2478    169077.9491 -1802039.18 2140195.1 -2845485.55 3183641.5
## Feb 2478    163292.9806 -1810065.85 2136651.8 -2854698.91 3181284.9
## Mar 2478    152539.7144 -1823058.48 2128137.9 -2868876.99 3173956.4
## Apr 2478    170505.4423 -1807324.76 2148335.6 -2854324.83 3195335.7
## May 2478    159569.9498 -1820491.61 2139631.5 -2868672.89 3187812.8
## Jun 2478    158860.9883 -1823426.73 2141148.7 -2872786.47 3190508.4
## Jul 2478    153171.9904 -1831341.19 2137685.2 -2881879.00 3188223.0
## Aug 2478    169569.8329 -1817164.51 2156304.2 -2868878.15 3208017.8
## Sep 2478    162673.7926 -1826280.73 2151628.3 -2879169.66 3204517.2
## Oct 2478    166865.9438 -1824305.00 2158036.9 -2878367.23 3212099.1
## Nov 2478    157969.0117 -1835417.22 2151355.2 -2890652.15 3206590.2
## Dec 2478    164607.1859 -1830991.07 2160205.4 -2887396.97 3216611.3
## Jan 2479    166069.5991 -1831765.20 2163904.4 -2889355.06 3221494.3
## Feb 2479    160284.6306 -1839770.63 2160339.9 -2898535.94 3219105.2
## Mar 2479    149531.3644 -1852742.11 2151804.8 -2912681.67 3211744.4
## Apr 2479    167497.0924 -1836987.38 2171981.6 -2898097.36 3233091.5
## May 2479    156561.5999 -1850133.27 2163256.5 -2912413.36 3225536.6
## Jun 2479    155852.6384 -1853047.53 2164752.8 -2916495.05 3228200.3
## Jul 2479    150163.6404 -1860941.20 2161268.5 -2925555.79 3225883.1
## Aug 2479    166561.4829 -1846743.83 2179866.8 -2912523.28 3245646.2
## Sep 2479    159665.4426 -1855839.42 2175170.3 -2922783.25 3242114.1
## Oct 2479    163857.5938 -1853843.15 2181558.3 -2921949.41 3249664.6
## Nov 2479    154960.6617 -1864934.90 2174856.2 -2934203.02 3244124.3
## Dec 2479    161598.8359 -1860488.36 2183686.0 -2930916.67 3254114.3
## Jan 2480    163061.2491 -1861241.92 2187364.4 -2932843.28 3258965.8
## Feb 2480    157276.2807 -1869226.95 2183779.5 -2941992.96 3256545.5
## Mar 2480    146523.0144 -1882178.10 2175224.1 -2956107.60 3249153.6
## Apr 2480    164488.7424 -1866403.16 2195380.6 -2941492.39 3270469.9
## May 2480    153553.2499 -1879528.91 2186635.4 -2955777.59 3262884.1
## Jun 2480    152844.2884 -1882423.13 2188111.7 -2959828.62 3265517.2
## Jul 2480    147155.2904 -1890296.81 2184607.4 -2968858.80 3263169.4
## Aug 2480    163553.1329 -1876079.55 2203185.8 -2955795.87 3282902.1
## Sep 2480    156657.0926 -1885155.31 2198469.5 -2966025.51 3279339.7
## Oct 2480    160849.2438 -1883139.29 2204837.8 -2965161.46 3286860.0
## Nov 2480    151952.3118 -1894211.36 2198116.0 -2977384.98 3281289.6
## Dec 2480    158590.4859 -1889745.22 2206926.2 -2974068.65 3291249.6
## Jan 2481    160052.8991 -1890478.98 2210584.8 -2975964.99 3296070.8
## Feb 2481    154267.9307 -1898444.39 2206980.3 -2985084.66 3293620.5
## Mar 2481    143514.6644 -1911375.99 2198405.3 -2999169.40 3286198.7
## Apr 2481    161480.3924 -1895581.62 2218542.4 -2984524.48 3307485.3
## May 2481    150544.8999 -1908687.99 2209777.8 -2998780.04 3299869.8
## Jun 2481    149835.9384 -1911562.94 2211234.8 -3002801.58 3302473.5
## Jul 2481    144146.9404 -1919417.39 2207711.3 -3011802.36 3300096.2
## Aug 2481    160544.7829 -1905180.99 2226270.6 -2998710.15 3319799.7
## Sep 2481    153648.7426 -1914237.67 2221535.2 -3008910.61 3316208.1
## Oct 2481    157840.8939 -1912202.65 2227884.4 -3008017.50 3323699.3
## Nov 2481    148943.9618 -1923255.78 2221143.7 -3020212.06 3318100.0
## Dec 2481    155582.1359 -1918770.77 2229935.0 -3016866.87 3328031.1
## Jan 2482    157044.5491 -1919485.49 2233574.6 -3018734.09 3332823.2
## Feb 2482    151259.5807 -1927432.01 2229951.2 -3027824.87 3330344.0
## Mar 2482    140506.3144 -1940344.79 2221357.4 -3041880.82 3322893.5
## Apr 2482    158472.0424 -1924531.71 2241475.8 -3027207.29 3344151.4
## May 2482    147536.5499 -1937619.42 2232692.5 -3041434.32 3336507.4
## Jun 2482    146827.5884 -1940475.81 2234131.0 -3045427.48 3339082.7
## Jul 2482    141138.5905 -1948311.75 2230588.9 -3054399.94 3336677.1
## Aug 2482    157536.4329 -1934056.91 2249129.8 -3041279.55 3356352.4
## Sep 2482    150640.3926 -1943095.22 2244376.0 -3051451.90 3352732.7
## Oct 2482    154832.5439 -1941041.89 2250707.0 -3050530.80 3360195.9
## Nov 2482    145935.6118 -1952076.79 2243948.0 -3062697.46 3354568.7
## Dec 2482    152573.7860 -1947573.62 2252721.2 -3059324.49 3364472.1
## Jan 2483    154036.1991 -1948269.98 2256342.4 -3061163.65 3369236.0
## Feb 2483    148251.2307 -1956198.31 2252700.8 -3070226.60 3366729.1
## Mar 2483    137497.9644 -1969092.95 2244088.9 -3084254.82 3359250.8
## Apr 2483    155463.6924 -1953261.85 2264189.2 -3069553.73 3380481.1
## May 2483    144528.1999 -1966331.59 2255388.0 -3083753.27 3372809.7
## Jun 2483    143819.2384 -1969170.09 2256808.6 -3087719.07 3375357.5
## Jul 2483    138130.2405 -1976988.19 2253248.7 -3096664.25 3372924.7
## Aug 2483    154528.0829 -1962715.59 2271771.8 -3083516.69 3392572.9
## Sep 2483    147632.0426 -1971736.19 2267000.3 -3093661.96 3388926.0
## Oct 2483    151824.1939 -1969665.23 2273313.6 -3092713.89 3396362.3
## Nov 2483    142927.2618 -1980682.54 2266537.1 -3104853.66 3390708.2
## Dec 2483    149565.4360 -1976161.85 2275292.7 -3101453.91 3400584.8
## Jan 2484    151027.8492 -1976840.53 2278896.2 -3103266.01 3405321.7
## Feb 2484    145242.8807 -1984751.32 2275237.1 -3112302.13 3402787.9
## Mar 2484    134489.6144 -1997628.48 2266607.7 -3126303.62 3395282.9
## Apr 2484    152455.3424 -1981780.01 2286690.7 -3111575.95 3416486.6
## May 2484    141519.8499 -1994832.41 2277872.1 -3125748.99 3408788.7
## Jun 2484    140810.8884 -1997653.66 2279275.4 -3129688.41 3411310.2
## Jul 2484    135121.8905 -2005454.55 2275698.3 -3138607.28 3408851.1
## Aug 2484    151519.7329 -1991164.83 2294204.3 -3125433.52 3428473.0
## Sep 2484    144623.6927 -2000168.34 2289415.7 -3135552.66 3424800.0
## Oct 2484    148815.8439 -1998080.37 2295712.1 -3134578.58 3432210.3
## Nov 2484    139918.9118 -2009080.72 2288918.5 -3146692.41 3426530.2
## Dec 2484    146557.0860 -2004543.15 2297657.3 -3143266.83 3436381.0
## Jan 2485    148019.4992 -2005204.76 2301243.8 -3145052.83 3441091.8
## Feb 2485    142234.5307 -2013098.62 2297567.7 -3154063.07 3438532.1
## Mar 2485    131481.2645 -2025958.92 2288921.5 -3168038.77 3431001.3
## Apr 2485    149446.9924 -2010093.68 2308987.7 -3153285.46 3452179.4
## May 2485    138511.4999 -2023129.36 2300152.4 -3167432.91 3444455.9
## Jun 2485    137802.5384 -2025933.96 2301539.0 -3171346.88 3446952.0
## Jul 2485    132113.5405 -2033718.26 2297945.3 -3180240.36 3444467.4
## Aug 2485    148511.3829 -2019412.00 2316434.8 -3167041.32 3464064.1
## Sep 2485    141615.3427 -2028399.03 2311629.7 -3177135.25 3460365.9
## Oct 2485    145807.4939 -2026294.64 2317909.6 -3176136.05 3467751.0
## Nov 2485    136910.5618 -2037278.62 2311099.7 -3188224.85 3462046.0
## Dec 2485    143548.7360 -2032724.74 2319822.2 -3184774.33 3471871.8
## Jan 2486    145011.1492 -2033369.88 2323392.2 -3186535.14 3476557.4
## Feb 2486    139226.1807 -2041247.40 2319699.8 -3195520.39 3473972.7
## Mar 2486    128472.9145 -2054091.42 2311037.2 -3209471.18 3466417.0
## Apr 2486    146438.6424 -2038209.98 2331087.3 -3194693.11 3487570.4
## May 2486    135503.1499 -2051229.52 2322235.8 -3208815.87 3479822.2
## Jun 2486    134794.1884 -2054018.04 2323606.4 -3212705.25 3482293.6
## Jul 2486    129105.1905 -2061786.31 2319996.7 -3221574.21 3479784.6
## Aug 2486    145503.0330 -2047464.08 2338470.1 -3208350.75 3499356.8
## Sep 2486    138606.9927 -2056435.19 2333649.2 -3218420.33 3495634.3
## Oct 2486    142799.1439 -2054314.94 2339913.2 -3217396.87 3502995.2
## Nov 2486    133902.2118 -2065283.11 2333087.5 -3229461.49 3497265.9
## Dec 2486    140540.3860 -2060713.48 2341794.2 -3225986.88 3507067.7
## Jan 2487    142002.7992 -2061342.70 2345348.3 -3227723.35 3511729.0
## Feb 2487    136217.8307 -2069204.44 2341640.1 -3236684.46 3509120.1
## Mar 2487    125464.5645 -2082032.72 2332961.8 -3250611.19 3501540.3
## Apr 2487    143430.2925 -2066135.65 2352996.2 -3235809.20 3522669.8
## May 2487    132494.8000 -2079139.57 2344129.2 -3249908.09 3514897.7
## Jun 2487    131785.8385 -2081912.57 2345484.2 -3253773.72 3517345.4
## Jul 2487    126096.8405 -2089665.34 2341859.0 -3262618.98 3514812.7
## Aug 2487    142494.6830 -2075327.68 2360317.1 -3249371.93 3534361.3
## Sep 2487    135598.6427 -2084283.40 2355480.7 -3259417.98 3530615.3
## Oct 2487    139790.7939 -2082147.82 2361729.4 -3258371.08 3537952.7
## Nov 2487    130893.8618 -2093100.71 2354888.4 -3270412.32 3532200.0
## Dec 2487    137532.0360 -2088515.85 2363579.9 -3266914.42 3541978.5
## Jan 2488    138994.4492 -2089129.70 2367118.6 -3268627.37 3546616.3
## Feb 2488    133209.4808 -2096976.17 2363395.1 -3277565.14 3543984.1
## Mar 2488    122456.2145 -2109789.24 2354701.7 -3291468.61 3536381.0
## Apr 2488    140421.9425 -2093877.05 2374720.9 -3276643.48 3557487.4
## May 2488    129486.4500 -2106865.89 2365838.8 -3290719.30 3549692.2
## Jun 2488    128777.4885 -2109623.86 2367178.8 -3294561.96 3552116.9
## Jul 2488    123088.4905 -2117361.65 2363538.6 -3303384.31 3549561.3
## Aug 2488    139486.3330 -2103009.08 2381981.7 -3290114.44 3569087.1
## Sep 2488    132590.2927 -2111949.92 2377130.5 -3300137.73 3565318.3
## Oct 2488    136782.4439 -2109799.51 2383364.4 -3299068.16 3572633.0
## Nov 2488    127885.5119 -2120737.62 2376508.6 -3311086.80 3566857.8
## Dec 2488    134523.6860 -2116138.03 2385185.4 -3307566.38 3576613.7
## Jan 2489    135986.0992 -2116737.00 2388709.2 -3309256.57 3581228.8
## Feb 2489    130201.1308 -2124568.71 2384971.0 -3318171.76 3578574.0
## Mar 2489    119447.8645 -2137367.06 2376262.8 -3332052.72 3570948.5
## Apr 2489    137413.5925 -2121440.24 2396267.4 -3317205.22 3592032.4
## May 2489    126478.1000 -2134414.48 2387370.7 -3331258.72 3584214.9
## Jun 2489    125769.1385 -2137157.93 2388696.2 -3335079.15 3586617.4
## Jul 2489    120080.1405 -2144881.22 2385041.5 -3343879.34 3584039.6
## Aug 2489    136477.9830 -2130514.21 2403470.2 -3330587.38 3603543.3
## Sep 2489    129581.9427 -2139440.65 2398604.5 -3340588.65 3599752.5
## Oct 2489    133774.0940 -2137275.89 2404824.1 -3339497.14 3607045.3
## Nov 2489    124877.1619 -2148199.70 2397954.0 -3351493.90 3601248.2
## Dec 2489    131515.3360 -2143585.86 2406616.5 -3347951.69 3610982.4
## Jan 2490    132977.7492 -2144170.42 2410125.9 -3349619.85 3615575.3
## Feb 2490    127192.7808 -2151987.85 2406373.4 -3358513.19 3612898.8
## Mar 2490    116439.5145 -2164771.96 2397651.0 -3372372.37 3605251.4
## Apr 2490    134405.2425 -2148830.97 2417641.5 -3357503.21 3626313.7
## May 2490    123469.7500 -2161791.09 2408730.6 -3371535.10 3618474.6
## Jun 2490    122760.7885 -2164520.46 2410042.0 -3375334.02 3620855.6
## Jul 2490    117071.7906 -2172229.72 2406373.3 -3384112.74 3618256.3
## Aug 2490    133469.6330 -2157848.73 2424788.0 -3370799.41 3637738.7
## Sep 2490    126573.5927 -2166761.23 2419908.4 -3380779.35 3633926.5
## Oct 2490    130765.7440 -2164582.59 2426114.1 -3379666.60 3641198.1
## Nov 2490    121868.8119 -2175492.54 2419230.2 -3391642.18 3635379.8
## Dec 2490    128506.9861 -2170864.90 2427878.9 -3388078.85 3645092.8
## Jan 2491    129969.3992 -2171435.52 2431374.3 -3389725.69 3649664.5
## Feb 2491    124184.4308 -2179239.11 2427608.0 -3398597.87 3646966.7
## Mar 2491    113431.1645 -2192009.42 2418871.8 -3412435.95 3639298.3
## Apr 2491    131396.8925 -2176054.72 2438848.5 -3397545.82 3660339.6
## May 2491    120461.4000 -2189001.15 2429923.9 -3411556.77 3652479.6
## Jun 2491    119752.4385 -2191716.90 2431221.8 -3415334.85 3654839.7
## Jul 2491    114063.4406 -2199412.56 2427539.4 -3424092.78 3652219.7
## Aug 2491    130461.2830 -2185018.03 2445940.6 -3410758.74 3671681.3
## Sep 2491    123565.2427 -2193917.02 2441047.5 -3420718.03 3667848.5
## Oct 2491    127757.3940 -2191724.92 2447239.7 -3419584.69 3675099.5
## Nov 2491    118860.4619 -2202621.46 2440342.4 -3431539.75 3669260.7
## Dec 2491    125498.6361 -2197980.45 2448977.7 -3427955.98 3678953.2
## Jan 2492    126961.0493 -2198537.55 2452459.6 -3429582.15 3683504.2
## Feb 2492    121176.0808 -2206327.73 2448679.9 -3438433.82 3680786.0
## Mar 2492    110422.8146 -2219084.68 2439930.3 -3452251.45 3673097.1
## Apr 2492    128388.5425 -2203116.68 2459893.8 -3437340.99 3694118.1
## May 2492    117453.0500 -2216049.84 2450955.9 -3451331.66 3686237.8
## Jun 2492    116744.0885 -2218752.39 2452240.6 -3455089.54 3688577.7
## Jul 2492    111055.0906 -2226434.88 2448545.1 -3463827.32 3685937.5
## Aug 2492    127452.9330 -2212027.22 2466933.1 -3450473.21 3705379.1
## Sep 2492    120556.8928 -2220913.12 2462026.9 -3460412.48 3701526.3
## Oct 2492    124749.0440 -2218707.98 2468206.1 -3459259.19 3708757.3
## Nov 2492    115852.1119 -2229591.50 2461295.7 -3471194.35 3702898.6
## Dec 2492    122490.2861 -2224937.53 2469918.1 -3467590.75 3712571.3
## Jan 2493    123952.6993 -2225481.53 2473386.9 -3469196.89 3717102.3
## Feb 2493    118167.7308 -2233258.71 2469594.2 -3478028.68 3714364.1
## Mar 2493    107414.4646 -2246002.70 2460831.6 -3491826.49 3706655.4
## Apr 2493    125380.1925 -2230021.81 2480782.2 -3476896.32 3727656.7
## May 2493    114444.7000 -2242942.12 2471831.5 -3490867.31 3719756.7
## Jun 2493    113735.7385 -2245631.86 2473103.3 -3494605.62 3722077.1
## Jul 2493    108046.7406 -2253301.57 2469395.1 -3503323.86 3719417.3
## Aug 2493    124444.5830 -2238881.19 2487770.4 -3489950.28 3738839.4
## Sep 2493    117548.5428 -2247754.39 2482851.5 -3499870.13 3734967.2
## Oct 2493    121740.6940 -2245536.59 2489018.0 -3498697.49 3742178.9
## Nov 2493    112843.7619 -2256407.50 2482095.0 -3510613.36 3736300.9
## Dec 2493    119481.9361 -2251740.96 2490704.8 -3506990.53 3745954.4
## Jan 2494    120944.3493 -2252272.25 2494161.0 -3508577.24 3750465.9
## Feb 2494    115159.3808 -2260036.82 2490355.6 -3517389.74 3747708.5
## Mar 2494    104406.1146 -2272768.24 2481580.5 -3531168.32 3739980.6
## Apr 2494    122371.8425 -2256774.85 2501518.5 -3516219.03 3760962.7
## May 2494    111436.3500 -2269682.67 2492555.4 -3530170.94 3753043.6
## Jun 2494    110727.3886 -2272359.99 2493814.8 -3533890.25 3755345.0
## Jul 2494    105038.3906 -2280017.31 2490094.1 -3542589.53 3752666.3
## Aug 2494    121436.2331 -2265584.58 2508457.0 -3529197.06 3772069.5
## Sep 2494    114540.1928 -2274445.46 2503525.8 -3539098.07 3768178.5
## Oct 2494    118732.3440 -2272215.39 2509680.1 -3537906.66 3775371.3
## Nov 2494    109835.4119 -2283074.06 2502744.9 -3549803.81 3769474.6
## Dec 2494    116473.5861 -2278395.31 2511342.5 -3546162.32 3779109.5
## Jan 2495    117935.9993 -2278914.27 2514786.3 -3547730.16 3783602.2
## Feb 2495    112151.0308 -2286666.60 2510968.7 -3556523.95 3780826.0
## Mar 2495    101397.7646 -2299385.82 2502181.3 -3570283.87 3773079.4
## Apr 2495    119363.4926 -2283380.29 2522107.3 -3555316.02 3794043.0
## May 2495    108428.0001 -2296276.01 2513132.0 -3569249.41 3786105.4
## Jun 2495    107719.0386 -2298941.27 2514379.3 -3572950.27 3788388.4
## Jul 2495    102030.0406 -2306586.55 2510646.6 -3581631.15 3785691.2
## Aug 2495    118427.8831 -2292141.83 2528997.6 -3568220.35 3805076.1
## Sep 2495    111531.8428 -2300990.76 2524054.4 -3578103.08 3801166.8
## Oct 2495    115723.9940 -2298748.77 2530196.8 -3576893.44 3808341.4
## Nov 2495    106827.0620 -2309595.55 2523249.7 -3588772.41 3802426.5
## Dec 2495    113465.2361 -2304904.96 2531835.4 -3585112.81 3812043.3
## Jan 2496    114927.6493 -2305411.95 2535267.2 -3586662.34 3816517.6
## Feb 2496    109142.6809 -2313152.40 2531437.8 -3595437.95 3813723.3
## Mar 2496     98389.4146 -2325859.76 2522638.6 -3609179.75 3805958.6
## Apr 2496    116355.1426 -2309842.45 2542552.7 -3594193.87 3826904.2
## May 2496    105419.6501 -2322726.41 2533565.7 -3608109.28 3818948.6
## Jun 2496    104710.6886 -2325379.96 2534801.3 -3611792.24 3821213.6
## Jul 2496     99021.6906 -2333013.56 2531056.9 -3620455.25 3818498.6
## Aug 2496    115419.5331 -2318557.19 2549396.3 -3607026.64 3837865.7
## Sep 2496    108523.4928 -2327394.51 2544441.5 -3616891.60 3833938.6
## Oct 2496    112715.6440 -2325140.94 2550572.2 -3615664.26 3841095.6
## Nov 2496    103818.7120 -2335976.18 2543613.6 -3627525.58 3835163.0
## Dec 2496    110456.8861 -2331274.09 2552187.9 -3623848.38 3844762.2
## Jan 2497    111919.2993 -2331769.45 2555608.0 -3625380.13 3849218.7
## Feb 2497    106134.3309 -2339498.35 2551767.0 -3634138.09 3846406.7
## Mar 2497     95381.0646 -2352194.20 2542956.3 -3647862.29 3838624.4
## Apr 2497    113346.7926 -2336165.45 2562859.0 -3632858.90 3859552.5
## May 2497    102411.3001 -2349037.98 2553860.6 -3646756.84 3851579.4
## Jun 2497    101702.3386 -2351680.15 2555084.8 -3650422.39 3853827.1
## Jul 2497     96013.3406 -2359302.40 2551329.1 -3659068.04 3851094.7
## Aug 2497    112411.1831 -2344834.72 2569657.1 -3645622.13 3870444.5
## Sep 2497    105515.1428 -2353660.75 2564691.0 -3655469.83 3866500.1
## Oct 2497    109707.2941 -2351395.94 2570810.5 -3654225.29 3873639.9
## Nov 2497    100810.3620 -2362219.96 2563840.7 -3666069.46 3867690.2
## Dec 2497    107448.5362 -2357506.69 2572403.8 -3662375.16 3877272.2
## Jan 2498    108910.9493 -2357990.75 2575812.6 -3663889.62 3881711.5
## Feb 2498    103125.9809 -2365708.43 2571960.4 -3672630.42 3878882.4
## Mar 2498     92372.7146 -2378393.10 2563138.5 -3686337.51 3871082.9
## Apr 2498    110338.4426 -2362353.21 2583030.1 -3671317.11 3891994.0
## May 2498     99402.9501 -2375214.64 2574020.5 -3685198.06 3884004.0
## Jun 2498     98693.9886 -2377845.76 2575233.7 -3688846.71 3886234.7
## Jul 2498     93004.9907 -2385456.97 2571466.9 -3697475.47 3883485.5
## Aug 2498    109402.8331 -2370978.30 2589784.0 -3684012.76 3902818.4
## Sep 2498    102506.7928 -2379793.36 2584806.9 -3693843.68 3898857.3
## Oct 2498    106698.9441 -2377517.61 2590915.5 -3692582.42 3905980.3
## Nov 2498     97802.0120 -2388330.73 2583934.8 -3704409.91 3900013.9
## Dec 2498    104440.1862 -2383606.59 2592487.0 -3700698.99 3909579.4
## Jan 2499    105902.5994 -2384079.66 2595884.9 -3702196.64 3914001.8
## Feb 2499    100117.6309 -2391786.43 2592021.7 -3710920.76 3911156.0
## Mar 2499     89364.3646 -2404460.23 2583189.0 -3724611.22 3903339.9
## Apr 2499    107330.0926 -2388409.52 2603069.7 -3709574.27 3924234.5
## May 2499     96394.6001 -2401260.15 2594049.4 -3723438.71 3916227.9
## Jun 2499     95685.6386 -2403880.52 2595251.8 -3727070.91 3918442.2
## Jul 2499     89996.6407 -2411480.99 2591474.3 -3735683.27 3915676.5
## Aug 2499    106394.4831 -2396991.63 2609780.6 -3722204.19 3934993.2
## Sep 2499     99498.4429 -2405796.02 2604792.9 -3732018.80 3931015.7
## Oct 2499    103690.5941 -2403509.65 2610890.8 -3730741.28 3938122.5
## Nov 2499     94793.6620 -2414312.16 2603899.5 -3742552.55 3932139.9
## Dec 2499    101431.8362 -2409577.44 2612441.1 -3738825.46 3941689.1
## Jan 2500    102894.2494 -2410039.83 2615828.3 -3740306.77 3946095.3
## Feb 2500     97109.2809 -2417736.00 2611954.6 -3749014.67 3943233.2
## Mar 2500     86356.0147 -2430399.21 2603111.2 -3762688.95 3935401.0
## Apr 2500    104321.7426 -2414337.98 2622981.5 -3747635.90 3956279.4
## May 2500     93386.2501 -2427178.11 2613950.6 -3761484.28 3948256.8
## Jun 2500     92677.2886 -2429788.01 2615142.6 -3765100.48 3950455.1
## Jul 2500     86988.2907 -2437378.05 2611354.6 -3773696.87 3947673.5
## Aug 2500    103386.1331 -2422878.29 2629650.6 -3760201.89 3966974.2
## Sep 2500     96490.0929 -2431672.30 2624652.5 -3770000.63 3962980.8
## Oct 2500    100682.2441 -2429375.58 2630740.1 -3768707.28 3970071.8
## Nov 2500     91785.3120 -2440167.77 2623738.4 -3780502.77 3964073.4
## Dec 2500     98423.4862 -2435422.77 2632269.7 -3776759.96 3973606.9
## Jan 2501     99885.8994 -2435874.76 2635646.6 -3778225.37 3977997.2
## Feb 2501     94100.9309 -2443560.60 2631762.5 -3786917.47 3975119.3
## Mar 2501     83347.6647 -2456213.52 2622908.8 -3800576.00 3967271.3
## Apr 2501    101313.3926 -2440142.05 2642768.8 -3785507.30 3988134.1
## May 2501     90377.9001 -2452971.96 2633727.8 -3799340.04 3980095.8
## Jun 2501     89668.9386 -2455571.68 2634909.6 -3802940.68 3982278.6
## Jul 2501     83979.9407 -2463151.56 2631111.4 -3811521.53 3979481.4
## Aug 2501    100377.7832 -2448641.68 2649397.2 -3798011.07 3998766.6
## Sep 2501     93481.7429 -2457425.58 2644389.1 -3807794.35 3994757.8
## Oct 2501     97673.8941 -2455118.79 2650466.6 -3806485.61 4001833.4
## Nov 2501     88776.9620 -2465900.95 2643454.9 -3818265.74 3995819.7
## Dec 2501     95415.1362 -2461145.94 2651976.2 -3814507.62 4005337.9
## Jan 2502     96877.5494 -2461587.80 2655342.9 -3815957.54 4009712.6
## Feb 2502     91092.5809 -2469263.59 2651448.8 -3824634.28 4006819.4
## Mar 2502     80339.3147 -2481906.49 2642585.1 -3838277.48 3998956.1
## Apr 2502     98305.0426 -2465825.05 2662435.1 -3823193.53 4019803.6
## May 2502     87369.5502 -2478645.01 2653384.1 -3837011.06 4011750.2
## Jun 2502     86660.5887 -2481234.82 2654556.0 -3840596.54 4013917.7
## Jul 2502     80971.5907 -2488804.81 2650748.0 -3849162.26 4011105.4
## Aug 2502     97369.4332 -2474285.07 2669023.9 -3835636.73 4030375.6
## Sep 2502     90473.3929 -2483059.14 2664005.9 -3845404.97 4026351.8
## Oct 2502     94665.5441 -2480742.55 2670073.6 -3844081.24 4033412.3
## Nov 2502     85768.6120 -2491514.92 2663052.1 -3855846.41 4027383.6
## Dec 2502     92406.7862 -2486750.16 2671563.7 -3852073.38 4036887.0
## Jan 2503     93869.1994 -2487182.17 2674920.6 -3853508.23 4041246.6
## Feb 2503     88084.2310 -2494848.18 2671016.6 -3862170.00 4038338.5
## Mar 2503     77330.9647 -2507481.31 2662143.2 -3875798.28 4030460.2
## Apr 2503     95296.6927 -2491390.17 2681983.6 -3860699.48 4051292.9
## May 2503     84361.2002 -2504200.43 2672922.8 -3874502.19 4043224.6
## Jun 2503     83652.2387 -2506780.59 2674085.1 -3878072.90 4045377.4
## Jul 2503     77963.2407 -2514340.95 2670267.4 -3886623.89 4042550.4
## Aug 2503     94361.0832 -2499811.60 2688533.8 -3873083.67 4061805.8
## Sep 2503     87465.0429 -2508576.10 2683506.2 -3882837.27 4057767.4
## Oct 2503     91657.1941 -2506249.96 2689564.3 -3881498.93 4064813.3
## Nov 2503     82760.2621 -2517012.81 2682533.3 -3893249.54 4058770.1
## Dec 2503     89398.4362 -2512238.55 2691035.4 -3889461.98 4068258.9
## Jan 2504     90860.8494 -2512660.96 2694382.7 -3890882.15 4072603.8
## Feb 2504     85075.8810 -2520317.43 2690469.2 -3899529.34 4069681.1
## Mar 2504     74322.6147 -2532941.06 2681586.3 -3913143.08 4061788.3
## Apr 2504     92288.3427 -2516840.46 2701417.1 -3898029.81 4082606.5
## May 2504     81352.8502 -2529641.28 2692347.0 -3911818.08 4074523.8
## Jun 2504     80643.8887 -2532212.04 2693499.8 -3915374.41 4076662.2
## Jul 2504     74954.8907 -2539763.00 2689672.8 -3923911.05 4073820.8
## Aug 2504     91352.7332 -2525224.31 2707929.8 -3910356.52 4093062.0
## Sep 2504     84456.6929 -2533979.47 2702892.9 -3920095.84 4089009.2
## Oct 2504     88648.8442 -2531644.02 2708941.7 -3918743.28 4096041.0
## Nov 2504     79751.9121 -2542397.59 2701901.4 -3930479.69 4089983.5
## Dec 2504     86390.0862 -2537614.08 2710394.3 -3926677.98 4099458.2
## Jan 2505     87852.4994 -2538027.13 2713732.1 -3928083.84 4103788.8
## Feb 2505     82067.5310 -2545674.32 2709809.4 -3936716.82 4100851.9
## Mar 2505     71314.2647 -2558288.68 2700917.2 -3950316.39 4092944.9
## Apr 2505     89279.9927 -2542178.86 2720738.8 -3935189.03 4113749.0
## May 2505     78344.5002 -2554970.48 2711659.5 -3948963.22 4105652.2
## Jun 2505     77635.5387 -2557532.07 2712803.1 -3952505.54 4107776.6
## Jul 2505     71946.5408 -2565073.89 2708967.0 -3961028.18 4104921.3
## Aug 2505     88344.3832 -2550526.08 2727214.8 -3947459.72 4124148.5
## Sep 2505     81448.3429 -2559272.14 2722168.8 -3957185.12 4120081.8
## Oct 2505     85640.4942 -2556927.62 2728208.6 -3955818.68 4127099.7
## Nov 2505     76743.5621 -2567672.15 2721159.3 -3967541.26 4121028.4
## Dec 2505     83381.7363 -2562879.62 2729643.1 -3963725.76 4130489.2
## Jan 2506     84844.1494 -2563283.55 2732971.8 -3965117.67 4134806.0
## Feb 2506     79059.1810 -2570921.67 2729040.0 -3973736.80 4131855.2
## Mar 2506     68305.9147 -2583527.00 2720138.8 -3987322.55 4123934.4
## Apr 2506     86271.6427 -2567408.19 2739951.5 -3972181.44 4144724.7
## May 2506     75336.1502 -2580190.84 2730863.1 -3985941.92 4136614.2
## Jun 2506     74627.1887 -2582743.50 2731997.9 -3989470.57 4138724.9
## Jul 2506     68938.1908 -2590276.40 2728152.8 -3997979.57 4135856.0
## Aug 2506     85336.0332 -2575719.70 2746391.8 -3984397.51 4155069.6
## Sep 2506     78439.9929 -2584456.89 2741336.9 -3994109.35 4150989.3
## Oct 2506     82632.1442 -2582103.53 2747367.8 -3992729.39 4157993.7
## Nov 2506     73735.2121 -2592839.23 2740309.7 -4004438.48 4151908.9
## Dec 2506     80373.3863 -2588037.91 2748784.7 -4000609.53 4161356.3
## Jan 2507     81835.7995 -2588432.94 2752104.5 -4001987.83 4165659.4
## Feb 2507     76050.8310 -2596062.24 2748163.9 -4010593.45 4162695.1
## Mar 2507     65297.5647 -2608658.76 2739253.9 -4024165.73 4154760.9
## Apr 2507     83263.2927 -2592531.19 2759057.8 -4009011.22 4175537.8
## May 2507     72327.8002 -2605305.09 2749960.7 -4022758.32 4167413.9
## Jun 2507     71618.8387 -2607849.03 2751086.7 -4026273.64 4169511.3
## Jul 2507     65929.8408 -2615373.23 2747232.9 -4034769.34 4166629.0
## Aug 2507     82327.6832 -2600807.86 2765463.2 -4021174.02 4185829.4
## Sep 2507     75431.6430 -2609536.40 2760399.7 -4030872.63 4181735.9
## Oct 2507     79623.7942 -2607174.42 2766422.0 -4029479.47 4188727.1
## Nov 2507     70726.8621 -2617901.51 2759355.2 -4041175.40 4182629.1
## Dec 2507     77365.0363 -2613091.61 2767821.7 -4037333.33 4192063.4
## Jan 2508     78827.4495 -2613477.97 2771132.9 -4038698.37 4196353.3
## Feb 2508     73042.4810 -2621098.65 2767183.6 -4047290.81 4193375.8
## Mar 2508     62289.2148 -2633686.57 2758265.0 -4060849.95 4185428.4
## Apr 2508     80254.9427 -2617550.45 2778060.3 -4045682.36 4206192.2
## May 2508     69319.4502 -2630315.82 2768954.7 -4059416.40 4198055.3
## Jun 2508     68610.4887 -2632851.26 2770072.2 -4062918.72 4200139.7
## Jul 2508     62921.4908 -2640366.97 2766210.0 -4071401.44 4197244.4
## Aug 2508     79319.3332 -2625793.14 2784431.8 -4057793.19 4216431.9
## Sep 2508     72423.2930 -2634513.24 2779359.8 -4067478.88 4212325.5
## Oct 2508     76615.4442 -2632142.84 2785373.7 -4066072.86 4219303.7
## Nov 2508     67718.5121 -2642861.54 2778298.6 -4077755.95 4213193.0
## Dec 2508     74356.6863 -2638043.27 2786756.6 -4073901.08 4222614.5
## Jan 2509     75819.0995 -2638421.16 2790059.4 -4075253.17 4226891.4
## Feb 2509     70034.1310 -2646033.43 2786101.7 -4083832.75 4223901.0
## Mar 2509     59280.8648 -2658612.97 2777174.7 -4097379.06 4215940.8
## Apr 2509     77246.5927 -2642468.51 2796961.7 -4082198.72 4236691.9
## May 2509     66311.1002 -2655225.54 2787847.7 -4095920.02 4228542.2
## Jun 2509     65602.1387 -2657752.69 2788957.0 -4099409.65 4230613.9
## Jul 2509     59913.1408 -2665260.12 2785086.4 -4107879.70 4227706.0
## Aug 2509     76310.9833 -2650678.03 2803300.0 -4094258.82 4246880.8
## Sep 2509     69414.9430 -2659389.89 2798219.8 -4103931.92 4242761.8
## Oct 2509     73607.0942 -2657011.28 2804225.5 -4102513.33 4249727.5
## Nov 2509     64710.1621 -2667721.79 2797142.1 -4114183.89 4243604.2
## Dec 2509     71348.3363 -2662895.35 2805592.0 -4110316.52 4253013.2
## Jan 2510     72810.7495 -2663264.98 2808886.5 -4111655.97 4257277.5
## Feb 2510     67025.7810 -2670869.04 2804920.6 -4120223.01 4254274.6
## Mar 2510     56272.5148 -2683440.39 2795985.4 -4133756.80 4246301.8
## Apr 2510     74238.2428 -2667287.79 2815764.3 -4118564.00 4267040.5
## May 2510     63302.7503 -2680036.69 2806642.2 -4132272.86 4258878.4
## Jun 2510     62593.7888 -2682555.73 2807743.3 -4135750.11 4260937.7
## Jul 2510     56904.7908 -2690055.08 2803864.7 -4144207.80 4258017.4
## Aug 2510     73302.6333 -2675464.93 2822070.2 -4130574.59 4277179.9
## Sep 2510     66406.5930 -2684168.75 2816981.9 -4140235.38 4273048.6
## Oct 2510     70598.7442 -2681782.12 2822979.6 -4138804.54 4280002.0
## Nov 2510     61701.8121 -2692484.63 2815888.3 -4150462.86 4273866.5
## Dec 2510     68339.9863 -2687650.21 2824330.2 -4146583.29 4283263.3
## Jan 2511     69802.3995 -2688011.77 2827616.6 -4147910.40 4287515.2
## Feb 2511     64017.4311 -2695607.82 2823642.7 -4156465.19 4284500.0
## Mar 2511     53264.1648 -2708171.18 2814699.5 -4169986.75 4276515.1
## Apr 2511     71229.8928 -2692010.62 2834470.4 -4154781.79 4297241.6
## May 2511     60294.4003 -2704751.58 2825340.4 -4168478.51 4289067.3
## Jun 2511     59585.4388 -2707262.72 2826433.6 -4171943.66 4291114.5
## Jul 2511     53896.4408 -2714754.17 2822547.0 -4180389.27 4288182.2
## Aug 2511     70294.2833 -2700156.15 2840744.7 -4166744.02 4307332.6
## Sep 2511     63398.2430 -2708852.12 2835648.6 -4176392.81 4303189.3
## Oct 2511     67590.3942 -2706457.65 2841638.4 -4174949.98 4310130.8
## Nov 2511     58693.4622 -2717152.35 2834539.3 -4186596.36 4303983.3
## Dec 2511     65331.6363 -2712310.14 2842973.4 -4182704.88 4313368.2
## Jan 2512     66794.0495 -2712663.82 2846251.9 -4184019.94 4317608.0
## Feb 2512     61009.0811 -2720252.05 2842270.2 -4192562.75 4314580.9
## Mar 2512     50255.8148 -2732807.60 2833319.2 -4206072.37 4306584.0
## Apr 2512     68221.5428 -2716639.27 2853082.4 -4190855.53 4327298.6
## May 2512     57286.0503 -2729372.48 2843944.6 -4204540.40 4319112.5
## Jun 2512     56577.0888 -2731875.89 2845030.1 -4207993.73 4321147.9
## Jul 2512     50888.0908 -2739359.62 2841135.8 -4216427.54 4318203.7
## Aug 2512     67285.9333 -2724753.92 2859325.8 -4202770.54 4337342.4
## Sep 2512     60389.8930 -2733442.21 2854222.0 -4212407.59 4333187.4
## Oct 2512     64582.0443 -2731040.10 2860204.2 -4210953.07 4340117.2
## Nov 2512     55685.1122 -2741727.16 2853097.4 -4222587.77 4333958.0
## Dec 2512     62323.2863 -2736877.35 2861523.9 -4218684.65 4343331.2
## Jan 2513     63785.6995 -2737223.33 2864794.7 -4219987.94 4347559.3
## Feb 2513     58000.7311 -2744803.91 2860805.4 -4228519.06 4344520.5
## Mar 2513     47247.4648 -2757351.83 2851846.8 -4242017.01 4336511.9
## Apr 2513     65213.1928 -2741175.91 2871602.3 -4226788.57 4357215.0
## May 2513     54277.7003 -2753901.55 2862456.9 -4240461.84 4349017.2
## Jun 2513     53568.7388 -2756397.41 2863534.9 -4243903.63 4351041.1
## Jul 2513     47879.7409 -2763873.61 2859633.1 -4252325.92 4348085.4
## Aug 2513     64277.5833 -2749260.39 2877815.6 -4238657.43 4367212.6
## Sep 2513     57381.5430 -2757941.19 2872704.3 -4248283.02 4363046.1
## Oct 2513     61573.6943 -2755531.60 2878679.0 -4246817.06 4369964.4
## Nov 2513     52676.7622 -2766211.20 2871564.7 -4258440.35 4363793.9
## Dec 2513     59314.9364 -2761353.95 2879983.8 -4254525.87 4373155.7
## Jan 2514     60777.3495 -2761692.41 2883247.1 -4255817.65 4377372.3
## Feb 2514     54992.3811 -2769265.52 2879250.3 -4264337.34 4374322.1
## Mar 2514     44239.1148 -2781805.99 2870284.2 -4277823.89 4366302.1
## Apr 2514     62204.8428 -2765622.65 2890032.3 -4262584.11 4386993.8
## May 2514     51269.3503 -2778340.88 2880879.6 -4276246.05 4378784.8
## Jun 2514     50560.3888 -2780829.36 2881950.1 -4279676.56 4380797.3
## Jul 2514     44871.3909 -2788298.20 2878041.0 -4288087.59 4377830.4
## Aug 2514     61269.2333 -2773677.64 2896216.1 -4274407.87 4396946.3
## Sep 2514     54373.1930 -2782351.11 2891097.5 -4284022.25 4392768.6
## Oct 2514     58565.3443 -2779934.22 2897064.9 -4282545.12 4399675.8
## Nov 2514     49668.4122 -2790606.53 2889943.4 -4294157.26 4393494.1
## Dec 2514     56306.5864 -2785742.01 2898355.2 -4290231.66 4402844.8
## Jan 2515     57768.9996 -2786073.12 2901611.1 -4291512.20 4407050.2
## Feb 2515     51984.0311 -2793638.92 2897607.0 -4300020.72 4403988.8
## Mar 2515     41230.7648 -2806172.10 2888633.6 -4313496.13 4395957.7
## Apr 2515     59196.4928 -2789981.52 2908374.5 -4298245.25 4416638.2
## May 2515     48261.0003 -2802692.51 2899214.5 -4311896.13 4408418.1
## Jun 2515     47552.0388 -2805173.78 2900277.9 -4315315.61 4410419.7
## Jul 2515     41863.0409 -2812635.42 2896361.5 -4323715.62 4407441.7
## Aug 2515     58260.8833 -2798007.68 2914529.4 -4310024.93 4426546.7
## Sep 2515     51364.8431 -2806673.99 2909403.7 -4319628.35 4422358.0
## Oct 2515     55556.9943 -2804249.95 2915363.9 -4318140.30 4429254.3
## Nov 2515     46660.0622 -2814915.14 2908235.3 -4329741.54 4423061.7
## Dec 2515     53298.2364 -2810043.51 2916640.0 -4325805.07 4432401.5
## Jan 2516     54760.6496 -2810367.43 2919888.7 -4327074.61 4436595.9
## Feb 2516     48975.6811 -2817926.09 2915877.4 -4335572.21 4433523.6
## Mar 2516     38222.4149 -2830452.15 2906897.0 -4349036.73 4425481.6
## Apr 2516     56188.1428 -2814254.48 2926630.8 -4333775.01 4446151.3
## May 2516     45252.6503 -2826958.38 2917463.7 -4347415.06 4437920.4
## Jun 2516     44543.6888 -2829432.60 2918520.0 -4350823.75 4439911.1
## Jul 2516     38854.6909 -2836887.20 2914596.6 -4359213.00 4436922.4
## Aug 2516     55252.5333 -2822252.45 2932757.5 -4345511.57 4456016.6
## Sep 2516     48356.4931 -2830911.75 2927624.7 -4355104.28 4451817.3
## Oct 2516     52548.6443 -2828480.72 2933578.0 -4353605.54 4458702.8
## Nov 2516     43651.7122 -2839138.94 2926442.4 -4365196.13 4452499.6
## Dec 2516     50289.8864 -2834260.37 2934840.1 -4361249.03 4461828.8
## Jan 2517     51752.2996 -2834577.25 2938081.9 -4362507.82 4466012.4
## Feb 2517     45967.3311 -2842128.93 2934063.6 -4370994.73 4462929.4
## Mar 2517     35214.0649 -2854648.02 2925076.1 -4384448.60 4454876.7
## Apr 2517     53179.7928 -2838443.41 2944803.0 -4369176.27 4475535.9
## May 2517     42244.3003 -2851140.40 2935629.0 -4382805.74 4467294.3
## Jun 2517     41535.3388 -2853607.72 2936678.4 -4386203.88 4469274.6
## Jul 2517     35846.3409 -2861055.43 2932748.1 -4394582.59 4466275.3
## Aug 2517     52244.1834 -2846413.81 2950902.2 -4380870.67 4485359.0
## Sep 2517     45348.1431 -2855066.26 2945762.5 -4390452.90 4481149.2
## Oct 2517     49540.2943 -2852628.41 2951709.0 -4388943.71 4488024.3
## Nov 2517     40643.3622 -2863279.81 2944566.5 -4400523.88 4481810.6
## Dec 2517     47281.5364 -2858394.43 2952957.5 -4396566.38 4491129.5
## Jan 2518     48743.9496 -2858704.44 2956192.3 -4397814.65 4495302.5
## Feb 2518     42958.9811 -2866249.28 2952167.2 -4406291.11 4492209.1
## Mar 2518     32205.7149 -2878761.56 2943173.0 -4419734.55 4484146.0
## Apr 2518     50171.4429 -2862550.17 2962893.1 -4404451.85 4504794.7
## May 2518     39235.9504 -2875240.38 2953712.3 -4418070.96 4496542.9
## Jun 2518     38526.9889 -2877700.96 2954754.9 -4421458.78 4498512.8
## Jul 2518     32837.9909 -2885141.93 2950817.9 -4429827.19 4495503.2
## Aug 2518     49235.8334 -2870493.60 2968965.3 -4416104.99 4514576.7
## Sep 2518     42339.7931 -2879139.34 2963818.9 -4425676.97 4510356.6
## Oct 2518     46531.9443 -2876694.80 2969758.7 -4424157.56 4517221.4
## Nov 2518     37635.0122 -2887339.53 2962609.6 -4435727.52 4510997.5
## Dec 2518     44273.1864 -2882447.51 2970993.9 -4431759.86 4520306.2
## Jan 2519     45735.5996 -2882750.78 2974222.0 -4432997.83 4524469.0
## Feb 2519     39950.6312 -2890288.94 2970190.2 -4441464.07 4521365.3
## Mar 2519     29197.3649 -2902794.54 2961189.3 -4454897.30 4513292.0
## Apr 2519     47163.0929 -2886576.52 2980902.7 -4439604.46 4533930.6
## May 2519     36227.6004 -2899260.10 2971715.3 -4453213.43 4525668.6
## Jun 2519     35518.6389 -2901714.08 2972751.4 -4456591.15 4527628.4
## Jul 2519     29829.6409 -2909148.45 2968807.7 -4464949.48 4524608.8
## Aug 2519     46227.4834 -2894493.55 2986948.5 -4451217.23 4543672.2
## Sep 2519     39331.4431 -2903132.73 2981795.6 -4460779.17 4539442.1
## Oct 2519     43523.5943 -2900681.65 2987728.8 -4459249.76 4546296.9
## Nov 2519     34626.6623 -2911319.85 2980573.2 -4470809.74 4540063.1
## Dec 2519     41264.8364 -2906421.32 2988951.0 -4466832.11 4549361.8
## Jan 2520     42727.2496 -2906718.01 2992172.5 -4468060.02 4553514.5
## Feb 2520     36942.2812 -2914249.62 2988134.2 -4476516.25 4550400.8
## Mar 2520     26189.0149 -2926748.70 2979126.7 -4489939.50 4542317.5
## Apr 2520     44154.7429 -2910524.18 2998833.7 -4474636.72 4562946.2
## May 2520     33219.2504 -2923201.27 2989639.8 -4488235.76 4554674.3
## Jun 2520     32510.2889 -2925648.78 2990669.4 -4491603.60 4556624.2
## Jul 2520     26821.2909 -2933076.71 2986719.3 -4499952.06 4553594.6
## Aug 2520     43219.1334 -2918415.37 3004853.6 -4486209.97 4572648.2
## Sep 2520     36323.0931 -2927048.13 2999694.3 -4495762.10 4568408.3
## Oct 2520     40515.2444 -2924590.64 3005621.1 -4494222.89 4575253.4
## Nov 2520     31618.3123 -2935222.46 2998459.1 -4505773.09 4569009.7
## Dec 2520     38256.4864 -2930317.55 3006830.5 -4501785.73 4578298.7
## Jan 2521     39718.8996 -2930607.80 3010045.6 -4503003.77 4582441.6
## Feb 2521     33933.9312 -2938133.00 3006000.9 -4511450.20 4579318.1
## Mar 2521     23180.6649 -2950625.69 2996987.0 -4524863.68 4571225.0
## Apr 2521     41146.3929 -2934394.81 3016687.6 -4509551.17 4591844.0
## May 2521     30210.9004 -2947065.55 3007487.4 -4523140.50 4583562.3
## Jun 2521     29501.9389 -2949506.73 3008510.6 -4526498.67 4585502.5
## Jul 2521     23812.9410 -2956928.34 3004554.2 -4534837.46 4582463.3
## Aug 2521     40210.7834 -2942260.70 3022682.3 -4521085.74 4601507.3
## Sep 2521     33314.7431 -2950887.18 3017516.7 -4530628.25 4597257.7
## Oct 2521     37506.8944 -2948423.42 3023437.2 -4529079.45 4604093.2
## Nov 2521     28609.9623 -2959048.98 3016268.9 -4540620.09 4597840.0
## Dec 2521     35248.1365 -2954137.84 3024634.1 -4536623.18 4607119.5
## Jan 2522     36710.5496 -2954421.76 3027842.9 -4537831.56 4611252.7
## Feb 2522     30925.5812 -2961940.70 3023791.9 -4546268.41 4608119.6
## Mar 2522     20172.3149 -2974427.12 3014771.8 -4559672.31 4600016.9
## Apr 2522     38138.0429 -2958190.02 3034466.1 -4544350.28 4620626.4
## May 2522     27202.5504 -2970854.54 3025259.6 -4557930.10 4612335.2
## Jun 2522     26493.5889 -2973289.53 3026276.7 -4561278.79 4614266.0
## Jul 2522     20804.5910 -2980704.95 3022314.1 -4569608.12 4611217.3
## Aug 2522     37202.4334 -2966031.14 3040436.0 -4555846.97 4630251.8
## Sep 2522     30306.3931 -2974651.46 3035264.2 -4565380.06 4625992.8
## Oct 2522     34498.5444 -2972181.56 3041178.7 -4563821.87 4632819.0
## Nov 2522     25601.6123 -2982801.00 3034004.2 -4575353.14 4626556.4
## Dec 2522     32239.7865 -2977883.74 3042363.3 -4571346.88 4635826.5
## Jan 2523     33702.1997 -2978161.49 3045565.9 -4572545.81 4639950.2
## Feb 2523     27917.2312 -2985674.28 3041508.7 -4580973.26 4636807.7
## Mar 2523     17163.9650 -2998154.57 3032482.5 -4594367.79 4628695.7
## Apr 2523     35129.6929 -2981911.37 3052170.8 -4579036.43 4649295.8
## May 2523     24194.2004 -2994569.80 3042958.2 -4592606.94 4640995.3
## Jun 2523     23485.2389 -2996998.72 3043969.2 -4595946.34 4642916.8
## Jul 2523     17796.2410 -3004408.08 3040000.6 -4604266.41 4639858.9
## Aug 2523     34194.0834 -2989728.23 3058116.4 -4590496.01 4658884.2
## Sep 2523     27298.0432 -2998342.52 3052938.6 -4600019.88 4654616.0
## Oct 2523     31490.1944 -2995866.61 3058847.0 -4598452.49 4661432.9
## Nov 2523     22593.2623 -3006480.04 3051666.6 -4609974.59 4655161.1
## Dec 2523     29231.4365 -3001556.80 3060019.7 -4605959.18 4664422.1
## Jan 2524     30693.8497 -3001828.49 3063216.2 -4607148.85 4668536.5
## Feb 2524     24908.8812 -3009335.26 3059153.0 -4615567.09 4665384.8
## Mar 2524     14155.6150 -3021809.55 3050120.8 -4628952.43 4657263.7
## Apr 2524     32121.3429 -3005560.37 3069803.1 -4613611.94 4677854.6
## May 2524     21185.8504 -3018212.84 3060584.5 -4627173.32 4669545.0
## Jun 2524     20476.8889 -3020635.81 3061589.6 -4630503.63 4671457.4
## Jul 2524     14787.8910 -3028039.23 3057615.0 -4638814.61 4668390.4
## Aug 2524     31185.7334 -3013353.47 3075724.9 -4625035.17 4687406.6
## Sep 2524     24289.6932 -3021961.84 3070541.2 -4634550.00 4683129.4
## Oct 2524     28481.8444 -3019480.04 3076443.7 -4632973.60 4689937.3
## Nov 2524     19584.9123 -3030087.59 3069257.4 -4644486.70 4683656.5
## Dec 2524     26223.0865 -3025158.49 3077604.7 -4640462.33 4692908.5
## Jan 2525     27685.4997 -3025424.25 3080795.2 -4641642.92 4697013.9
## Feb 2525     21900.5312 -3032925.12 3076726.2 -4650052.14 4693853.2
## Mar 2525     11147.2650 -3045393.53 3067688.1 -4663428.49 4685723.0
## Apr 2525     29112.9929 -3029138.49 3087364.5 -4648079.04 4706305.0
## May 2525     18177.5004 -3041785.11 3078140.1 -4661631.48 4697986.5
## Jun 2525     17468.5390 -3044202.26 3079139.3 -4664952.88 4699890.0
## Jul 2525     11779.5410 -3051599.86 3075158.9 -4673254.96 4696814.0
## Aug 2525     28177.3835 -3036908.30 3093263.1 -4659466.65 4715821.4
## Sep 2525     21281.3432 -3045510.89 3088073.6 -4668972.63 4711535.3
## Oct 2525     25473.4944 -3043023.31 3093970.3 -4667387.40 4718334.4
## Nov 2525     16576.5623 -3053625.10 3086778.2 -4678891.69 4712044.8
## Dec 2525     23214.7365 -3048690.25 3095119.7 -4674858.52 4721288.0
## Jan 2526     24677.1497 -3048950.19 3098304.5 -4676030.22 4725384.5
## Feb 2526     18892.1812 -3056445.29 3094229.7 -4684430.60 4722215.0
## Mar 2526      8138.9150 -3068907.93 3085185.8 -4697798.13 4714076.0
## Apr 2526     26104.6430 -3052647.15 3104856.4 -4682439.91 4734649.2
## May 2526     15169.1505 -3065288.05 3095626.3 -4695983.58 4726321.9
## Jun 2526     14460.1890 -3067699.48 3096619.9 -4699296.25 4728216.6
## Jul 2526      8771.1910 -3075091.38 3092633.8 -4707589.62 4725132.0
## Aug 2526     25169.0335 -3060394.14 3110732.2 -4693792.61 4744130.7
## Sep 2526     18272.9932 -3068991.05 3105537.0 -4703289.91 4739835.9
## Oct 2526     22465.1444 -3066497.81 3111428.1 -4701696.03 4746626.3
## Nov 2526     13568.2124 -3077093.96 3104230.4 -4713191.68 4740328.1
## Dec 2526     20206.3865 -3072153.47 3112566.2 -4709149.90 4749562.7
## Jan 2527     21668.7997 -3072407.71 3115745.3 -4710312.88 4753650.5
## Feb 2527     15883.8313 -3079897.15 3111664.8 -4718704.60 4750472.3
## Mar 2527      5130.5650 -3092354.13 3102615.3 -4732063.49 4742324.6
## Apr 2527     23096.2930 -3076087.74 3122280.3 -4716696.66 4762889.2
## May 2527     12160.8005 -3088723.01 3113044.6 -4730231.74 4754553.3
## Jun 2527     11451.8390 -3091128.85 3114032.5 -4733535.85 4756439.5
## Jul 2527      5762.8410 -3098515.16 3110040.8 -4741820.67 4753346.4
## Aug 2527     22160.6835 -3083812.34 3128133.7 -4728015.14 4772336.5
## Sep 2527     15264.6432 -3092403.69 3122933.0 -4737503.93 4768033.2
## Oct 2527     19456.7944 -3089904.91 3128818.5 -4735901.56 4774815.2
## Nov 2527     10559.8624 -3100495.51 3121615.2 -4747388.75 4768508.5
## Dec 2527     17198.0365 -3095549.51 3129945.6 -4743338.53 4777734.6
## Jan 2528     18660.4497 -3095798.16 3133119.1 -4744492.96 4781813.9
## Feb 2528     12875.4813 -3103282.04 3129033.0 -4752876.19 4778627.1
## Mar 2528      2122.2150 -3115733.49 3119977.9 -4766226.60 4770471.0
## Apr 2528     20087.9430 -3099461.57 3139637.5 -4750851.34 4791027.2
## May 2528      9152.4505 -3112091.34 3130396.2 -4764378.00 4782682.9
## Jun 2528      8443.4890 -3114491.69 3131378.7 -4767673.72 4784560.7
## Jul 2528      2754.4910 -3121872.53 3127381.5 -4775950.15 4781459.1
## Aug 2528     19152.3335 -3107164.24 3145468.9 -4762136.27 4800440.9
## Sep 2528     12256.2932 -3115750.13 3140262.7 -4771616.71 4796129.3
## Oct 2528     16448.4445 -3113245.91 3146142.8 -4770006.03 4802902.9
## Nov 2528      7551.5124 -3123831.09 3138934.1 -4781484.91 4796587.9
## Dec 2528     14189.6866 -3118879.67 3147259.0 -4777426.41 4805805.8
## Jan 2529     15652.0997 -3119122.84 3150427.0 -4778572.46 4809876.7
## Feb 2529      9867.1313 -3126601.28 3146335.5 -4786947.36 4806681.6
## Mar 2529      -886.1350 -3139047.29 3137275.0 -4800289.46 4798517.2
## Apr 2529     17079.5930 -3122769.97 3156929.2 -4784905.93 4819065.1
## May 2529      6144.1005 -3135394.34 3147682.5 -4798424.33 4810712.5
## Jun 2529      5435.1390 -3137789.31 3148659.6 -4801711.82 4812582.1
## Jul 2529      -253.8589 -3145164.77 3144657.0 -4809980.04 4809472.3
## Aug 2529     16143.9835 -3130451.12 3162739.1 -4796157.95 4828445.9
## Sep 2529      9247.9432 -3139031.67 3157527.6 -4805630.22 4824126.1
## Oct 2529     13440.0945 -3136522.11 3163402.3 -4804011.37 4830891.6
## Nov 2529      4543.1624 -3147101.96 3156188.3 -4815482.12 4824568.4
## Dec 2529     11181.3366 -3142145.24 3164507.9 -4811415.49 4833778.2
## Jan 2530     12643.7498 -3142383.03 3167670.5 -4812553.33 4837840.8
## Feb 2530      6858.7813 -3149856.13 3163573.7 -4820920.06 4834637.6
## Mar 2530     -3894.4850 -3162296.81 3154507.8 -4834254.01 4826465.0
## Apr 2530     14071.2430 -3146014.19 3174156.7 -4818862.36 4847004.9
## May 2530      3135.7505 -3158633.26 3164904.8 -4832372.66 4838644.2
## Jun 2530      2426.7890 -3161022.95 3165876.5 -4835652.08 4840505.7
## Jul 2530     -3262.2089 -3168393.13 3161868.7 -4843912.24 4837387.8
## Aug 2530     13135.6335 -3153674.24 3179945.5 -4830082.12 4856353.4
## Sep 2530      6239.5933 -3162249.53 3174728.7 -4839546.36 4852025.5
## Oct 2530     10431.7445 -3159734.74 3180598.2 -4837919.51 4858783.0
## Nov 2530      1534.8124 -3170309.38 3173379.0 -4849382.26 4852451.9
## Dec 2530      8172.9866 -3165347.44 3181693.4 -4845307.68 4861653.7
## Jan 2531      9635.3998 -3165579.97 3184850.8 -4846437.45 4865708.2
## Feb 2531      3850.4313 -3173047.82 3180748.7 -4854796.17 4862497.0
## Mar 2531     -6902.8349 -3185483.27 3171677.6 -4868122.12 4854316.4
## Apr 2531     11062.8930 -3169195.45 3191321.2 -4852722.52 4874848.3
## May 2531       127.4005 -3181809.32 3182064.1 -4866224.87 4866479.7
## Jun 2531      -581.5610 -3184193.83 3183030.7 -4869496.37 4868333.2
## Jul 2531     -6270.5589 -3191558.85 3179017.7 -4877748.62 4865207.5
## Aug 2531     10127.2835 -3176834.80 3197089.4 -4863910.61 4884165.2
## Sep 2531      3231.2433 -3185404.95 3191867.4 -4873366.98 4879829.5
## Oct 2531      7423.3945 -3182885.02 3197731.8 -4871732.28 4886579.1
## Nov 2531     -1473.5376 -3193454.53 3190507.5 -4883187.20 4880240.1
## Dec 2531      5164.6366 -3188487.49 3198816.8 -4879104.80 4889434.1
## Jan 2532      6627.0498 -3188714.84 3201968.9 -4880226.66 4893480.8
## Feb 2532       842.0813 -3196177.55 3197861.7 -4888577.51 4890261.7
## Mar 2532     -9911.1849 -3208607.88 3188785.5 -4901895.62 4882073.3
## Apr 2532      8054.5430 -3192314.95 3208424.0 -4886488.22 4902597.3
## May 2532     -2880.9495 -3204923.72 3199161.8 -4899982.77 4894220.9
## Jun 2532     -3589.9110 -3207303.15 3200123.3 -4903246.50 4896066.7
## Jul 2532     -9278.9089 -3214663.09 3196105.3 -4911490.98 4892933.2
## Aug 2532      7118.9336 -3199933.98 3214171.8 -4897645.24 4911883.1
## Sep 2532       222.8933 -3208499.08 3208944.9 -4907093.89 4907539.7
## Oct 2532      4415.0445 -3205974.12 3214804.2 -4905451.48 4914281.6
## Nov 2532     -4481.8876 -3216538.60 3207574.8 -4916898.72 4907934.9
## Dec 2532      2156.2866 -3211566.54 3215879.1 -4912808.65 4917121.2
## Jan 2533      3618.6998 -3211788.82 3219026.2 -4913922.74 4921160.1
## Feb 2533     -2166.2687 -3219246.49 3214914.0 -4922265.88 4917933.3
## Mar 2533    -12919.5349 -3231671.78 3205832.7 -4935576.29 4909737.2
## Apr 2533      5046.1930 -3215373.84 3225466.2 -4920161.22 4930253.6
## May 2533     -5889.2994 -3227977.61 3216199.0 -4933648.13 4921869.5
## Jun 2533     -6598.2609 -3230352.05 3217155.5 -4936904.23 4923707.7
## Jul 2533    -12287.2589 -3237707.02 3213132.5 -4945141.10 4920566.6
## Aug 2533      4110.5836 -3222972.94 3231194.1 -4931287.77 4939508.9
## Sep 2533     -2785.4567 -3231533.08 3225962.2 -4940728.83 4935157.9
## Oct 2533      1406.6945 -3229003.18 3231816.6 -4939078.86 4941892.3
## Nov 2533     -7490.2376 -3239562.73 3224582.3 -4950518.55 4935538.1
## Dec 2533      -852.0634 -3234585.75 3232881.6 -4946420.95 4944716.8
## Jan 2534       610.3498 -3234803.04 3236023.7 -4947527.43 4948748.1
## Feb 2534     -5174.6186 -3242255.76 3231906.5 -4955863.00 4945513.8
## Mar 2534    -15927.8849 -3254676.11 3222820.3 -4969165.85 4937310.1
## Apr 2534      2037.8431 -3238373.25 3242448.9 -4953743.27 4957819.0
## May 2534     -8897.6494 -3250972.11 3233176.8 -4967222.66 4949427.4
## Jun 2534     -9606.6109 -3253341.66 3234128.4 -4970471.27 4951258.1
## Jul 2534    -15295.6089 -3260691.74 3230100.5 -4978700.67 4948109.5
## Aug 2534      1102.2336 -3245952.79 3248157.3 -4964839.88 4967044.4
## Sep 2534     -5793.8067 -3254508.06 3242920.5 -4974273.51 4962685.9
## Oct 2534     -1601.6555 -3251973.31 3248770.0 -4972616.12 4969412.8
## Nov 2534    -10498.5875 -3262528.01 3241530.8 -4984048.40 4963051.2
## Dec 2534     -3860.4134 -3257546.20 3249825.4 -4979943.42 4972222.6
## Jan 2535     -2398.0002 -3257758.61 3252962.6 -4981042.42 4976246.4
## Feb 2535     -8182.9686 -3265206.46 3248840.5 -4989370.55 4973004.6
## Mar 2535    -18936.2349 -3277621.96 3239749.5 -5002665.99 4964793.5
## Apr 2535      -970.5069 -3261314.28 3259373.3 -4987236.02 4985295.0
## May 2535    -11905.9994 -3273908.32 3250096.3 -5000708.04 4976896.0
## Jun 2535    -12614.9609 -3276273.07 3251043.1 -5003949.31 4978719.4
## Jul 2535    -18303.9589 -3283618.34 3247010.4 -5012171.36 4975563.4
## Aug 2535     -1906.1164 -3268874.61 3265062.4 -4998303.26 4994491.0
## Sep 2535     -8802.1567 -3277425.11 3259820.8 -5007729.58 4990125.3
## Oct 2535     -4610.0054 -3274885.59 3265665.6 -5006064.91 4996844.9
## Nov 2535    -13506.9375 -3285435.54 3258421.7 -5017489.91 4990476.0
## Dec 2535     -6868.7634 -3280448.99 3266711.5 -5013377.68 4999640.2
## Jan 2536     -5406.3502 -3280656.59 3269843.9 -5014469.34 5003656.6
## Feb 2536    -11191.3186 -3288099.67 3265717.0 -5022790.17 5000407.5
## Mar 2536    -21944.5849 -3300510.41 3256621.2 -5036078.33 4992189.2
## Apr 2536     -3978.8569 -3284197.99 3276240.3 -5020641.11 5012683.4
## May 2536    -14914.3494 -3296787.29 3266958.6 -5034105.89 5004277.2
## Jun 2536    -15623.3109 -3299147.32 3267900.7 -5037339.94 5006093.3
## Jul 2536    -21312.3088 -3306487.89 3263863.3 -5045554.79 5002930.2
## Aug 2536     -4914.4664 -3291739.46 3281910.5 -5031679.51 5021850.6
## Sep 2536    -11810.5067 -3300285.27 3276664.3 -5041098.65 5017477.6
## Oct 2536     -7618.3554 -3297741.07 3282504.4 -5039426.82 5024190.1
## Nov 2536    -16515.2875 -3308286.35 3275255.8 -5050844.69 5017814.1
## Dec 2536     -9877.1133 -3303295.14 3283540.9 -5046725.34 5026971.1
## Jan 2537     -8414.7002 -3303498.03 3286668.6 -5047809.78 5030980.4
## Feb 2537    -14199.6686 -3310936.43 3282537.1 -5056123.45 5027724.1
## Mar 2537    -24952.9349 -3323342.49 3273436.6 -5069404.45 5019498.6
## Apr 2537     -6987.2069 -3307025.42 3293051.0 -5053960.12 5039985.7
## May 2537    -17922.6994 -3319610.07 3283764.7 -5067417.79 5031572.4
## Jun 2537    -18631.6609 -3321965.47 3284702.1 -5070644.76 5033381.4
## Jul 2537    -24320.6588 -3329301.41 3280660.1 -5078852.54 5030211.2
## Aug 2537     -7922.8164 -3314548.36 3298702.7 -5064970.19 5049124.6
## Sep 2537    -14818.8567 -3323089.57 3293451.9 -5074382.30 5044744.6
## Oct 2537    -10626.7054 -3320540.77 3299287.4 -5072703.44 5051450.0
## Nov 2537    -19523.6375 -3331081.47 3292034.2 -5084114.30 5045067.0
## Dec 2537    -12885.4633 -3326085.69 3300314.8 -5079987.95 5054217.0
## Jan 2538    -11423.0501 -3326283.95 3303437.9 -5081065.31 5058219.2
## Feb 2538    -17208.0186 -3333717.75 3299301.7 -5089371.95 5054955.9
## Mar 2538    -27961.2849 -3346119.22 3290196.6 -5102645.92 5046723.4
## Apr 2538     -9995.5569 -3329797.57 3309806.5 -5087194.60 5067203.5
## May 2538    -20931.0494 -3342377.66 3300515.6 -5100645.28 5058783.2
## Jun 2538    -21640.0109 -3344728.51 3301448.5 -5103865.29 5060585.3
## Jul 2538    -27329.0088 -3352059.90 3297401.9 -5112066.12 5057408.1
## Aug 2538    -10931.1664 -3337302.33 3315440.0 -5098176.85 5076314.5
## Sep 2538    -17827.2066 -3345839.01 3310184.6 -5107582.03 5071927.6
## Oct 2538    -13635.0554 -3343285.70 3316015.6 -5105896.28 5078626.2
## Nov 2538    -22531.9875 -3353821.90 3308757.9 -5117300.25 5072236.3
## Dec 2538    -15893.8133 -3348821.62 3317034.0 -5113167.03 5081379.4
## Jan 2539    -14431.4001 -3349015.33 3320152.5 -5114237.44 5085374.6
## Feb 2539    -20216.3686 -3356444.61 3316011.9 -5122537.16 5082104.4
## Mar 2539    -30969.6348 -3368841.57 3306902.3 -5135804.23 5073865.0
## Apr 2539    -13003.9069 -3352515.43 3326507.6 -5120346.04 5094338.2
## May 2539    -23939.3994 -3365091.03 3317212.2 -5133789.87 5085911.1
## Jun 2539    -24648.3609 -3367437.41 3318140.7 -5137003.05 5087706.3
## Jul 2539    -30337.3588 -3374764.35 3314089.6 -5145197.05 5084522.3
## Aug 2539    -13939.5164 -3360002.32 3332123.3 -5131300.97 5103421.9
## Sep 2539    -20835.5566 -3368534.55 3326863.4 -5140699.35 5099028.2
## Oct 2539    -16643.4054 -3365976.81 3332690.0 -5139006.82 5105720.0
## Nov 2539    -25540.3375 -3376508.59 3325427.9 -5150404.02 5099323.3
## Dec 2539    -18902.1633 -3371503.90 3333699.6 -5146264.05 5108459.7
## Jan 2540    -17439.7501 -3371693.14 3336813.6 -5147327.63 5112448.1
## Feb 2540    -23224.7186 -3379117.98 3332668.5 -5155620.56 5109171.1
## Mar 2540    -33977.9848 -3391510.50 3323554.5 -5168880.86 5100924.9
## Apr 2540    -16012.2569 -3375179.95 3343155.4 -5153415.92 5121391.4
## May 2540    -26947.7494 -3387751.15 3333855.7 -5166853.01 5112957.5
## Jun 2540    -27656.7109 -3390093.14 3334779.7 -5170059.47 5114746.0
## Jul 2540    -33345.7088 -3397415.69 3330724.3 -5178246.76 5111555.3
## Aug 2540    -16947.8663 -3382649.29 3348753.6 -5164343.99 5130448.3
## Sep 2540    -23843.9066 -3391177.16 3343489.3 -5173735.70 5126047.9
## Oct 2540    -19651.7554 -3388615.06 3349311.6 -5172036.51 5132733.0
## Nov 2540    -28548.6875 -3399142.49 3342045.1 -5183427.06 5126329.7
## Dec 2540    -21910.5133 -3394133.47 3350312.4 -5179280.46 5135459.4
## Jan 2541    -20448.1001 -3394318.32 3353422.1 -5180337.33 5139441.1
## Feb 2541    -26233.0686 -3401738.79 3349272.7 -5188623.58 5136157.4
## Mar 2541    -36986.3348 -3414126.96 3340154.3 -5201877.22 5127904.5
## Apr 2541    -19020.6068 -3397792.08 3359750.9 -5186405.65 5148364.4
## May 2541    -29956.0993 -3410358.94 3350446.7 -5199836.12 5139923.9
## Jun 2541    -30665.0608 -3412696.62 3351366.5 -5203035.98 5141705.9
## Jul 2541    -36354.0588 -3420014.86 3347306.7 -5211216.68 5138508.6
## Aug 2541    -19956.2163 -3405244.16 3365331.7 -5197307.34 5157394.9
## Sep 2541    -26852.2566 -3413767.74 3360063.2 -5206692.49 5152988.0
## Oct 2541    -22660.1054 -3411201.36 3365881.2 -5204986.75 5159666.5
## Nov 2541    -31557.0375 -3421724.52 3358610.4 -5216370.77 5153256.7
## Dec 2541    -24918.8633 -3416711.23 3366873.5 -5212217.66 5162379.9
## Jan 2542    -23456.4501 -3416891.77 3369978.9 -5213267.92 5166355.0
## Feb 2542    -29241.4185 -3424307.95 3365825.1 -5221547.62 5163064.8
## Mar 2542    -39994.6848 -3436691.84 3356702.5 -5234794.71 5154805.3
## Apr 2542    -22028.9568 -3420352.70 3376294.8 -5219316.62 5175258.7
## May 2542    -32964.4493 -3432915.32 3366986.4 -5232740.58 5166811.7
## Jun 2542    -33673.4108 -3435248.75 3367901.9 -5235933.96 5168587.1
## Jul 2542    -39362.4088 -3442562.75 3363837.9 -5244108.19 5165383.4
## Aug 2542    -22964.5663 -3427787.83 3381858.7 -5230192.39 5184263.3
## Sep 2542    -29860.6066 -3436307.19 3376586.0 -5239571.09 5179849.9
## Oct 2542    -25668.4554 -3433736.61 3382399.7 -5237858.91 5186522.0
## Nov 2542    -34565.3874 -3444255.57 3375124.8 -5249236.52 5180105.7
## Dec 2542    -27927.2133 -3439238.10 3383383.7 -5245077.00 5189222.6
## Jan 2543    -26464.8001 -3439414.40 3386484.8 -5246120.78 5193191.2
## Feb 2543    -32249.7685 -3446826.36 3382326.8 -5254394.02 5189894.5
## Mar 2543    -43003.0348 -3459206.05 3373200.0 -5267634.68 5181628.6
## Apr 2543    -25037.3068 -3442862.72 3392788.1 -5252150.20 5202075.6
## May 2543    -35972.7993 -3455421.15 3383475.5 -5265567.76 5193622.2
## Jun 2543    -36681.7608 -3457750.41 3384386.9 -5268754.76 5195391.2
## Jul 2543    -42370.7588 -3465060.25 3380318.7 -5276922.62 5192181.1
## Aug 2543    -25972.9163 -3450281.18 3398335.3 -5263000.47 5211054.6
## Sep 2543    -32868.9566 -3458796.40 3393058.5 -5272372.83 5206634.9
## Oct 2543    -28676.8053 -3456221.68 3398868.1 -5270654.33 5213300.7
## Nov 2543    -37573.7374 -3466736.51 3391589.0 -5282025.63 5206878.2
## Dec 2543    -30935.5633 -3461714.92 3399843.8 -5277859.81 5215988.7
## Jan 2544    -29473.1501 -3461887.06 3402940.8 -5278897.22 5219950.9
## Feb 2544    -35258.1185 -3469294.88 3398778.6 -5287164.13 5216647.9
## Mar 2544    -46011.3848 -3481670.43 3389647.7 -5300398.46 5208375.7
## Apr 2544    -28045.6568 -3465322.98 3409231.7 -5284907.68 5228816.4
## May 2544    -38981.1493 -3477877.30 3399915.0 -5298318.96 5220356.7
## Jun 2544    -39690.1108 -3480202.47 3400822.2 -5301499.69 5222119.5
## Jul 2544    -45379.1087 -3487508.21 3396750.0 -5309661.30 5218903.1
## Aug 2544    -28981.2663 -3472725.06 3414762.5 -5295732.90 5237770.4
## Sep 2544    -35877.3066 -3481236.20 3409481.6 -5305099.03 5233344.4
## Oct 2544    -31685.1553 -3478657.42 3415287.1 -5303374.32 5240004.0
## Nov 2544    -40582.0874 -3489168.20 3408004.0 -5314739.41 5233575.2
## Dec 2544    -33943.9132 -3484142.56 3416254.7 -5310567.40 5242679.6
## Jan 2545    -32481.5001 -3484310.60 3419347.6 -5311598.55 5246635.5
## Feb 2545    -38266.4685 -3491714.35 3415181.4 -5319859.22 5243326.3
## Mar 2545    -49019.7348 -3504085.83 3406046.4 -5333087.34 5235047.9
## Apr 2545    -31054.0068 -3487734.34 3425626.3 -5317590.37 5255482.4
## May 2545    -41989.4993 -3500284.61 3416305.6 -5330995.46 5247016.5
## Jun 2545    -42698.4608 -3502605.75 3417208.8 -5334170.04 5248773.1
## Jul 2545    -48387.4587 -3509907.48 3413132.6 -5342325.49 5245550.6
## Aug 2545    -31989.6163 -3495120.31 3431141.1 -5328390.96 5264411.7
## Sep 2545    -38885.6566 -3503627.45 3425856.1 -5337750.96 5259979.6
## Oct 2545    -34693.5053 -3501044.67 3431657.7 -5336020.13 5266633.1
## Nov 2545    -43590.4374 -3511551.45 3424370.6 -5347379.12 5260198.2
## Dec 2545    -36952.2632 -3506521.84 3432617.3 -5343201.03 5269296.5
## Jan 2546    -35489.8500 -3506685.85 3435706.2 -5344226.02 5273246.3
## Feb 2546    -41274.8185 -3514085.59 3431536.0 -5352480.57 5269930.9
## Mar 2546    -52028.0848 -3526453.08 3422396.9 -5365702.57 5261646.4

Hasil forecasting menampilkan nilai ramalan beserta interval kepercayaan 80% dan 95% untuk setiap periode yang diprediksi. # Evaluasi Akurasi Model

Evaluasi akurasi dilakukan menggunakan data testing untuk mengetahui kemampuan model dalam melakukan peramalan.

# Mengukur akurasi model
accuracy(ramalan_arima2, test.ts)
##                      ME     RMSE       MAE       MPE      MAPE      MASE
## Training set    130.165 178546.3  93682.04 -1.697379  8.676828 0.5118585
## Test set     643002.686 751276.2 643002.69 80.616017 80.616017 3.5132284
##                    ACF1 Theil's U
## Training set 0.01368966        NA
## Test set     0.94275921  6.622489

Berdasarkan hasil evaluasi akurasi diperoleh beberapa ukuran kesalahan seperti:

  • RMSE (Root Mean Square Error)
  • MAE (Mean Absolute Error)
  • MAPE (Mean Absolute Percentage Error)

Semakin kecil nilai error yang diperoleh maka model semakin baik dalam melakukan forecasting. # Plot Forecasting

plot(ramalan_arima2,
     col = "blue",
     main = "Forecasting SARIMA",
     xlab = "Time",
     ylab = "Weekly Sales")

Plot forecasting menunjukkan hasil peramalan data pada beberapa periode ke depan beserta interval kepercayaan prediksi. # Tabel Hasil Forecasting

# Membuat tabel forecasting
forecast_arima2 <- cbind(
  ramalan_arima2$mean,
  ramalan_arima2$lower,
  ramalan_arima2$upper
)

# Mengubah menjadi data frame
forecast_arima2 <- as.data.frame(forecast_arima2)

# Menampilkan hasil forecasting
forecast_arima2
##      ramalan_arima2$mean ramalan_arima2$lower.80% ramalan_arima2$lower.95%
## 1            282770.8333                 53305.48                -68166.14
## 2            276815.5519                 12159.55               -127940.87
## 3            269745.3877                -24570.04               -180371.22
## 4            286312.5766                -21397.23               -184288.96
## 5            277394.0999                -46962.64               -218666.72
## 6            275383.2126                -59170.17               -236272.04
## 7            270992.1749                -76692.29               -260745.32
## 8            286387.1506                -70747.10               -259802.56
## 9            280385.9001                -88289.10               -283453.86
## 10           283843.4327                -93969.81               -293972.07
## 11           275578.9575               -112779.22               -318363.61
## 12           281687.3042               -115564.38               -325856.72
## 13           283600.5693               -123584.06               -339134.58
## 14           277435.3840               -138460.09               -358621.85
## 15           267004.4220               -158192.05               -383277.46
## 16           284697.7438               -148941.19               -378495.77
## 17           273992.8751               -168463.17               -402685.25
## 18           273088.8533               -177561.57               -416121.49
## 19           267564.9283               -191504.93               -434521.83
## 20           283823.1198               -183204.23               -430433.58
## 21           277045.2453               -198063.61               -449571.05
## 22           281137.4210               -201703.11               -457303.45
## 23           272325.0795               -218303.80               -478027.05
## 24           278891.6830               -219254.98               -482957.89
## 25           280414.6522               -225354.52               -493092.54
## 26           274578.4478               -238557.00               -510194.50
## 27           263868.5321               -256614.29               -532141.25
## 28           281797.5815               -245843.14               -525159.27
## 29           270893.1225               -263874.81               -546963.85
## 30           270157.9037               -271585.43               -558367.02
## 31           264491.1219               -284185.68               -574637.63
## 32           280870.1674               -274613.65               -568669.02
## 33           273990.0312               -288251.38               -585884.01
## 34           278168.7261               -290722.25               -591874.95
## 35           269283.1793               -306203.74               -610848.11
## 36           275911.7205               -306077.01               -614163.24
## 37           277382.2841               -311132.14               -622672.86
## 38           271590.4196               -323330.51               -638262.63
## 39           260842.9880               -340426.54               -658719.41
## 40           278803.7793               -328725.46               -650332.01
## 41           267872.4637               -345864.86               -670757.78
## 42           267159.9682               -352709.82               -680849.07
## 43           261473.9604               -364477.96               -695836.90
## 44           277869.2729               -354097.33               -688640.25
## 45           270975.3732               -366956.36               -704657.03
## 46           275165.7133               -368669.73               -709495.63
## 47           266270.3136               -383420.36               -727345.83
## 48           272907.1912               -382582.14               -729577.24
## 49           274370.7014               -386940.98               -737018.23
## 50           268584.8048               -398464.85               -751579.60
## 51           257832.3238               -414907.96               -771035.15
## 52           275797.3874               -402571.98               -761679.03
## 53           264862.4570               -419095.26               -781160.61
## 54           264153.0199               -425340.16               -790335.81
## 55           258464.4244               -436525.14               -804430.40
## 56           274861.9263               -425576.02               -796365.46
## 57           267966.1742               -437881.90               -811535.30
## 58           272158.0816               -439055.63               -815549.42
## 59           263261.3558               -453280.64               -832595.05
## 60           269899.3555               -451929.30               -834042.30
## 61           271361.9163               -455781.62               -840708.16
## 62           265576.8229               -466813.38               -854517.34
## 63           254823.6624               -482776.41               -873238.30
## 64           272789.3009               -469972.24               -863166.44
## 65           261853.8841               -486037.97               -881948.01
## 66           261144.8586               -491835.94               -890439.90
## 67           255455.9148               -502583.81               -903865.80
## 68           271853.7114               -491207.29               -895147.38
## 69           264957.7099               -503094.93               -909677.44
## 70           269149.8283               -503859.41               -913065.79
## 71           260252.9240               -517683.74               -929498.53
## 72           266891.0747               -515940.07               -930345.84
## 73           268353.5078               -519403.28               -936416.53
## 74           262568.5225               -530055.83               -949645.82
## 75           251815.2705               -545647.32               -967798.51
## 76           269780.9864               -532479.74               -957170.92
## 77           258845.5041               -548188.92               -975407.14
## 78           258136.5340               -553637.61               -983364.88
## 79           252447.5433               -564042.60               -996266.37
## 80           268845.3796               -552329.90               -987033.84
## 81           261949.3445               -563887.45              -1001059.03
## 82           266141.4914               -564328.04              -1003952.06
## 83           257244.5630               -577834.25              -1019898.27
## 84           263882.7340               -575778.28              -1020267.98
## 85           265345.1499               -578930.82              -1025863.52
## 86           259560.1792               -589279.84              -1038628.60
## 87           248806.9148               -604573.08              -1056325.16
## 88           266772.6412               -591113.08              -1045250.35
## 89           255837.1501               -606534.58              -1063046.60
## 90           255128.1874               -611700.80              -1070572.35
## 91           249439.1904               -621827.82              -1083048.71
## 92           265837.0321               -609841.95              -1073398.40
## 93           258940.9925               -621130.62              -1087012.40
## 94           263133.1431               -621306.84              -1089501.09
## 95           254236.2115               -634552.80              -1105049.28
## 96           260874.3853               -632240.80              -1105027.42
## 97           262336.7988               -635138.09              -1110232.60
## 98           256551.8301               -645237.21              -1122615.49
## 99           245798.5641               -660284.41              -1139935.76
## 100          263764.2918               -646582.70              -1128491.29
## 101          252828.7995               -661765.95              -1145923.16
## 102          252119.8379               -666697.79              -1153090.45
## 103          246430.8401               -676593.72              -1165213.41
## 104          262828.6824               -664380.36              -1155215.18
## 105          255932.6422               -675444.72              -1168486.12
## 106          260124.7934               -675399.99              -1170636.90
## 107          251227.8614               -688428.08              -1185851.88
## 108          257866.0355               -685901.39              -1185501.68
## 109          259328.4487               -688584.28              -1190378.96
## 110          253543.4802               -698473.15              -1202440.32
## 111          242790.2140               -713313.02              -1219443.49
## 112          260755.9419               -699407.31              -1207687.04
## 113          249820.4495               -714389.18              -1224810.92
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## 718          106698.9441              -2377517.61              -3692582.42
## 719           97802.0120              -2388330.73              -3704409.91
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## 725           96394.6001              -2401260.15              -3723438.71
## 726           95685.6386              -2403880.52              -3727070.91
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## 730          103690.5941              -2403509.65              -3730741.28
## 731           94793.6620              -2414312.16              -3742552.55
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## 734           97109.2809              -2417736.00              -3749014.67
## 735           86356.0147              -2430399.21              -3762688.95
## 736          104321.7426              -2414337.98              -3747635.90
## 737           93386.2501              -2427178.11              -3761484.28
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## 739           86988.2907              -2437378.05              -3773696.87
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## 746           94100.9309              -2443560.60              -3786917.47
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## 748          101313.3926              -2440142.05              -3785507.30
## 749           90377.9001              -2452971.96              -3799340.04
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## 753           93481.7429              -2457425.58              -3807794.35
## 754           97673.8941              -2455118.79              -3806485.61
## 755           88776.9620              -2465900.95              -3818265.74
## 756           95415.1362              -2461145.94              -3814507.62
## 757           96877.5494              -2461587.80              -3815957.54
## 758           91092.5809              -2469263.59              -3824634.28
## 759           80339.3147              -2481906.49              -3838277.48
## 760           98305.0426              -2465825.05              -3823193.53
## 761           87369.5502              -2478645.01              -3837011.06
## 762           86660.5887              -2481234.82              -3840596.54
## 763           80971.5907              -2488804.81              -3849162.26
## 764           97369.4332              -2474285.07              -3835636.73
## 765           90473.3929              -2483059.14              -3845404.97
## 766           94665.5441              -2480742.55              -3844081.24
## 767           85768.6120              -2491514.92              -3855846.41
## 768           92406.7862              -2486750.16              -3852073.38
## 769           93869.1994              -2487182.17              -3853508.23
## 770           88084.2310              -2494848.18              -3862170.00
## 771           77330.9647              -2507481.31              -3875798.28
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## 819           65297.5647              -2608658.76              -4024165.73
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## 828           77365.0363              -2613091.61              -4037333.33
## 829           78827.4495              -2613477.97              -4038698.37
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## 869           60294.4003              -2704751.58              -4168478.51
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## 871           53896.4408              -2714754.17              -4180389.27
## 872           70294.2833              -2700156.15              -4166744.02
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## 874           67590.3942              -2706457.65              -4174949.98
## 875           58693.4622              -2717152.35              -4186596.36
## 876           65331.6363              -2712310.14              -4182704.88
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## 879           50255.8148              -2732807.60              -4206072.37
## 880           68221.5428              -2716639.27              -4190855.53
## 881           57286.0503              -2729372.48              -4204540.40
## 882           56577.0888              -2731875.89              -4207993.73
## 883           50888.0908              -2739359.62              -4216427.54
## 884           67285.9333              -2724753.92              -4202770.54
## 885           60389.8930              -2733442.21              -4212407.59
## 886           64582.0443              -2731040.10              -4210953.07
## 887           55685.1122              -2741727.16              -4222587.77
## 888           62323.2863              -2736877.35              -4218684.65
## 889           63785.6995              -2737223.33              -4219987.94
## 890           58000.7311              -2744803.91              -4228519.06
## 891           47247.4648              -2757351.83              -4242017.01
## 892           65213.1928              -2741175.91              -4226788.57
## 893           54277.7003              -2753901.55              -4240461.84
## 894           53568.7388              -2756397.41              -4243903.63
## 895           47879.7409              -2763873.61              -4252325.92
## 896           64277.5833              -2749260.39              -4238657.43
## 897           57381.5430              -2757941.19              -4248283.02
## 898           61573.6943              -2755531.60              -4246817.06
## 899           52676.7622              -2766211.20              -4258440.35
## 900           59314.9364              -2761353.95              -4254525.87
## 901           60777.3495              -2761692.41              -4255817.65
## 902           54992.3811              -2769265.52              -4264337.34
## 903           44239.1148              -2781805.99              -4277823.89
## 904           62204.8428              -2765622.65              -4262584.11
## 905           51269.3503              -2778340.88              -4276246.05
## 906           50560.3888              -2780829.36              -4279676.56
## 907           44871.3909              -2788298.20              -4288087.59
## 908           61269.2333              -2773677.64              -4274407.87
## 909           54373.1930              -2782351.11              -4284022.25
## 910           58565.3443              -2779934.22              -4282545.12
## 911           49668.4122              -2790606.53              -4294157.26
## 912           56306.5864              -2785742.01              -4290231.66
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## 914           51984.0311              -2793638.92              -4300020.72
## 915           41230.7648              -2806172.10              -4313496.13
## 916           59196.4928              -2789981.52              -4298245.25
## 917           48261.0003              -2802692.51              -4311896.13
## 918           47552.0388              -2805173.78              -4315315.61
## 919           41863.0409              -2812635.42              -4323715.62
## 920           58260.8833              -2798007.68              -4310024.93
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## 922           55556.9943              -2804249.95              -4318140.30
## 923           46660.0622              -2814915.14              -4329741.54
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## 999           20172.3149              -2974427.12              -4559672.31
## 1000          38138.0429              -2958190.02              -4544350.28
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## 1002          26493.5889              -2973289.53              -4561278.79
## 1003          20804.5910              -2980704.95              -4569608.12
## 1004          37202.4334              -2966031.14              -4555846.97
## 1005          30306.3931              -2974651.46              -4565380.06
## 1006          34498.5444              -2972181.56              -4563821.87
## 1007          25601.6123              -2982801.00              -4575353.14
## 1008          32239.7865              -2977883.74              -4571346.88
## 1009          33702.1997              -2978161.49              -4572545.81
## 1010          27917.2312              -2985674.28              -4580973.26
## 1011          17163.9650              -2998154.57              -4594367.79
## 1012          35129.6929              -2981911.37              -4579036.43
## 1013          24194.2004              -2994569.80              -4592606.94
## 1014          23485.2389              -2996998.72              -4595946.34
## 1015          17796.2410              -3004408.08              -4604266.41
## 1016          34194.0834              -2989728.23              -4590496.01
## 1017          27298.0432              -2998342.52              -4600019.88
## 1018          31490.1944              -2995866.61              -4598452.49
## 1019          22593.2623              -3006480.04              -4609974.59
## 1020          29231.4365              -3001556.80              -4605959.18
## 1021          30693.8497              -3001828.49              -4607148.85
## 1022          24908.8812              -3009335.26              -4615567.09
## 1023          14155.6150              -3021809.55              -4628952.43
## 1024          32121.3429              -3005560.37              -4613611.94
## 1025          21185.8504              -3018212.84              -4627173.32
## 1026          20476.8889              -3020635.81              -4630503.63
## 1027          14787.8910              -3028039.23              -4638814.61
## 1028          31185.7334              -3013353.47              -4625035.17
## 1029          24289.6932              -3021961.84              -4634550.00
## 1030          28481.8444              -3019480.04              -4632973.60
## 1031          19584.9123              -3030087.59              -4644486.70
## 1032          26223.0865              -3025158.49              -4640462.33
## 1033          27685.4997              -3025424.25              -4641642.92
## 1034          21900.5312              -3032925.12              -4650052.14
## 1035          11147.2650              -3045393.53              -4663428.49
## 1036          29112.9929              -3029138.49              -4648079.04
## 1037          18177.5004              -3041785.11              -4661631.48
## 1038          17468.5390              -3044202.26              -4664952.88
## 1039          11779.5410              -3051599.86              -4673254.96
## 1040          28177.3835              -3036908.30              -4659466.65
## 1041          21281.3432              -3045510.89              -4668972.63
## 1042          25473.4944              -3043023.31              -4667387.40
## 1043          16576.5623              -3053625.10              -4678891.69
## 1044          23214.7365              -3048690.25              -4674858.52
## 1045          24677.1497              -3048950.19              -4676030.22
## 1046          18892.1812              -3056445.29              -4684430.60
## 1047           8138.9150              -3068907.93              -4697798.13
## 1048          26104.6430              -3052647.15              -4682439.91
## 1049          15169.1505              -3065288.05              -4695983.58
## 1050          14460.1890              -3067699.48              -4699296.25
## 1051           8771.1910              -3075091.38              -4707589.62
## 1052          25169.0335              -3060394.14              -4693792.61
## 1053          18272.9932              -3068991.05              -4703289.91
## 1054          22465.1444              -3066497.81              -4701696.03
## 1055          13568.2124              -3077093.96              -4713191.68
## 1056          20206.3865              -3072153.47              -4709149.90
## 1057          21668.7997              -3072407.71              -4710312.88
## 1058          15883.8313              -3079897.15              -4718704.60
## 1059           5130.5650              -3092354.13              -4732063.49
## 1060          23096.2930              -3076087.74              -4716696.66
## 1061          12160.8005              -3088723.01              -4730231.74
## 1062          11451.8390              -3091128.85              -4733535.85
## 1063           5762.8410              -3098515.16              -4741820.67
## 1064          22160.6835              -3083812.34              -4728015.14
## 1065          15264.6432              -3092403.69              -4737503.93
## 1066          19456.7944              -3089904.91              -4735901.56
## 1067          10559.8624              -3100495.51              -4747388.75
## 1068          17198.0365              -3095549.51              -4743338.53
## 1069          18660.4497              -3095798.16              -4744492.96
## 1070          12875.4813              -3103282.04              -4752876.19
## 1071           2122.2150              -3115733.49              -4766226.60
## 1072          20087.9430              -3099461.57              -4750851.34
## 1073           9152.4505              -3112091.34              -4764378.00
## 1074           8443.4890              -3114491.69              -4767673.72
## 1075           2754.4910              -3121872.53              -4775950.15
## 1076          19152.3335              -3107164.24              -4762136.27
## 1077          12256.2932              -3115750.13              -4771616.71
## 1078          16448.4445              -3113245.91              -4770006.03
## 1079           7551.5124              -3123831.09              -4781484.91
## 1080          14189.6866              -3118879.67              -4777426.41
## 1081          15652.0997              -3119122.84              -4778572.46
## 1082           9867.1313              -3126601.28              -4786947.36
## 1083           -886.1350              -3139047.29              -4800289.46
## 1084          17079.5930              -3122769.97              -4784905.93
## 1085           6144.1005              -3135394.34              -4798424.33
## 1086           5435.1390              -3137789.31              -4801711.82
## 1087           -253.8589              -3145164.77              -4809980.04
## 1088          16143.9835              -3130451.12              -4796157.95
## 1089           9247.9432              -3139031.67              -4805630.22
## 1090          13440.0945              -3136522.11              -4804011.37
## 1091           4543.1624              -3147101.96              -4815482.12
## 1092          11181.3366              -3142145.24              -4811415.49
## 1093          12643.7498              -3142383.03              -4812553.33
## 1094           6858.7813              -3149856.13              -4820920.06
## 1095          -3894.4850              -3162296.81              -4834254.01
## 1096          14071.2430              -3146014.19              -4818862.36
## 1097           3135.7505              -3158633.26              -4832372.66
## 1098           2426.7890              -3161022.95              -4835652.08
## 1099          -3262.2089              -3168393.13              -4843912.24
## 1100          13135.6335              -3153674.24              -4830082.12
## 1101           6239.5933              -3162249.53              -4839546.36
## 1102          10431.7445              -3159734.74              -4837919.51
## 1103           1534.8124              -3170309.38              -4849382.26
## 1104           8172.9866              -3165347.44              -4845307.68
## 1105           9635.3998              -3165579.97              -4846437.45
## 1106           3850.4313              -3173047.82              -4854796.17
## 1107          -6902.8349              -3185483.27              -4868122.12
## 1108          11062.8930              -3169195.45              -4852722.52
## 1109            127.4005              -3181809.32              -4866224.87
## 1110           -581.5610              -3184193.83              -4869496.37
## 1111          -6270.5589              -3191558.85              -4877748.62
## 1112          10127.2835              -3176834.80              -4863910.61
## 1113           3231.2433              -3185404.95              -4873366.98
## 1114           7423.3945              -3182885.02              -4871732.28
## 1115          -1473.5376              -3193454.53              -4883187.20
## 1116           5164.6366              -3188487.49              -4879104.80
## 1117           6627.0498              -3188714.84              -4880226.66
## 1118            842.0813              -3196177.55              -4888577.51
## 1119          -9911.1849              -3208607.88              -4901895.62
## 1120           8054.5430              -3192314.95              -4886488.22
## 1121          -2880.9495              -3204923.72              -4899982.77
## 1122          -3589.9110              -3207303.15              -4903246.50
## 1123          -9278.9089              -3214663.09              -4911490.98
## 1124           7118.9336              -3199933.98              -4897645.24
## 1125            222.8933              -3208499.08              -4907093.89
## 1126           4415.0445              -3205974.12              -4905451.48
## 1127          -4481.8876              -3216538.60              -4916898.72
## 1128           2156.2866              -3211566.54              -4912808.65
## 1129           3618.6998              -3211788.82              -4913922.74
## 1130          -2166.2687              -3219246.49              -4922265.88
## 1131         -12919.5349              -3231671.78              -4935576.29
## 1132           5046.1930              -3215373.84              -4920161.22
## 1133          -5889.2994              -3227977.61              -4933648.13
## 1134          -6598.2609              -3230352.05              -4936904.23
## 1135         -12287.2589              -3237707.02              -4945141.10
## 1136           4110.5836              -3222972.94              -4931287.77
## 1137          -2785.4567              -3231533.08              -4940728.83
## 1138           1406.6945              -3229003.18              -4939078.86
## 1139          -7490.2376              -3239562.73              -4950518.55
## 1140           -852.0634              -3234585.75              -4946420.95
## 1141            610.3498              -3234803.04              -4947527.43
## 1142          -5174.6186              -3242255.76              -4955863.00
## 1143         -15927.8849              -3254676.11              -4969165.85
## 1144           2037.8431              -3238373.25              -4953743.27
## 1145          -8897.6494              -3250972.11              -4967222.66
## 1146          -9606.6109              -3253341.66              -4970471.27
## 1147         -15295.6089              -3260691.74              -4978700.67
## 1148           1102.2336              -3245952.79              -4964839.88
## 1149          -5793.8067              -3254508.06              -4974273.51
## 1150          -1601.6555              -3251973.31              -4972616.12
## 1151         -10498.5875              -3262528.01              -4984048.40
## 1152          -3860.4134              -3257546.20              -4979943.42
## 1153          -2398.0002              -3257758.61              -4981042.42
## 1154          -8182.9686              -3265206.46              -4989370.55
## 1155         -18936.2349              -3277621.96              -5002665.99
## 1156           -970.5069              -3261314.28              -4987236.02
## 1157         -11905.9994              -3273908.32              -5000708.04
## 1158         -12614.9609              -3276273.07              -5003949.31
## 1159         -18303.9589              -3283618.34              -5012171.36
## 1160          -1906.1164              -3268874.61              -4998303.26
## 1161          -8802.1567              -3277425.11              -5007729.58
## 1162          -4610.0054              -3274885.59              -5006064.91
## 1163         -13506.9375              -3285435.54              -5017489.91
## 1164          -6868.7634              -3280448.99              -5013377.68
## 1165          -5406.3502              -3280656.59              -5014469.34
## 1166         -11191.3186              -3288099.67              -5022790.17
## 1167         -21944.5849              -3300510.41              -5036078.33
## 1168          -3978.8569              -3284197.99              -5020641.11
## 1169         -14914.3494              -3296787.29              -5034105.89
## 1170         -15623.3109              -3299147.32              -5037339.94
## 1171         -21312.3088              -3306487.89              -5045554.79
## 1172          -4914.4664              -3291739.46              -5031679.51
## 1173         -11810.5067              -3300285.27              -5041098.65
## 1174          -7618.3554              -3297741.07              -5039426.82
## 1175         -16515.2875              -3308286.35              -5050844.69
## 1176          -9877.1133              -3303295.14              -5046725.34
## 1177          -8414.7002              -3303498.03              -5047809.78
## 1178         -14199.6686              -3310936.43              -5056123.45
## 1179         -24952.9349              -3323342.49              -5069404.45
## 1180          -6987.2069              -3307025.42              -5053960.12
## 1181         -17922.6994              -3319610.07              -5067417.79
## 1182         -18631.6609              -3321965.47              -5070644.76
## 1183         -24320.6588              -3329301.41              -5078852.54
## 1184          -7922.8164              -3314548.36              -5064970.19
## 1185         -14818.8567              -3323089.57              -5074382.30
## 1186         -10626.7054              -3320540.77              -5072703.44
## 1187         -19523.6375              -3331081.47              -5084114.30
## 1188         -12885.4633              -3326085.69              -5079987.95
## 1189         -11423.0501              -3326283.95              -5081065.31
## 1190         -17208.0186              -3333717.75              -5089371.95
## 1191         -27961.2849              -3346119.22              -5102645.92
## 1192          -9995.5569              -3329797.57              -5087194.60
## 1193         -20931.0494              -3342377.66              -5100645.28
## 1194         -21640.0109              -3344728.51              -5103865.29
## 1195         -27329.0088              -3352059.90              -5112066.12
## 1196         -10931.1664              -3337302.33              -5098176.85
## 1197         -17827.2066              -3345839.01              -5107582.03
## 1198         -13635.0554              -3343285.70              -5105896.28
## 1199         -22531.9875              -3353821.90              -5117300.25
## 1200         -15893.8133              -3348821.62              -5113167.03
## 1201         -14431.4001              -3349015.33              -5114237.44
## 1202         -20216.3686              -3356444.61              -5122537.16
## 1203         -30969.6348              -3368841.57              -5135804.23
## 1204         -13003.9069              -3352515.43              -5120346.04
## 1205         -23939.3994              -3365091.03              -5133789.87
## 1206         -24648.3609              -3367437.41              -5137003.05
## 1207         -30337.3588              -3374764.35              -5145197.05
## 1208         -13939.5164              -3360002.32              -5131300.97
## 1209         -20835.5566              -3368534.55              -5140699.35
## 1210         -16643.4054              -3365976.81              -5139006.82
## 1211         -25540.3375              -3376508.59              -5150404.02
## 1212         -18902.1633              -3371503.90              -5146264.05
## 1213         -17439.7501              -3371693.14              -5147327.63
## 1214         -23224.7186              -3379117.98              -5155620.56
## 1215         -33977.9848              -3391510.50              -5168880.86
## 1216         -16012.2569              -3375179.95              -5153415.92
## 1217         -26947.7494              -3387751.15              -5166853.01
## 1218         -27656.7109              -3390093.14              -5170059.47
## 1219         -33345.7088              -3397415.69              -5178246.76
## 1220         -16947.8663              -3382649.29              -5164343.99
## 1221         -23843.9066              -3391177.16              -5173735.70
## 1222         -19651.7554              -3388615.06              -5172036.51
## 1223         -28548.6875              -3399142.49              -5183427.06
## 1224         -21910.5133              -3394133.47              -5179280.46
## 1225         -20448.1001              -3394318.32              -5180337.33
## 1226         -26233.0686              -3401738.79              -5188623.58
## 1227         -36986.3348              -3414126.96              -5201877.22
## 1228         -19020.6068              -3397792.08              -5186405.65
## 1229         -29956.0993              -3410358.94              -5199836.12
## 1230         -30665.0608              -3412696.62              -5203035.98
## 1231         -36354.0588              -3420014.86              -5211216.68
## 1232         -19956.2163              -3405244.16              -5197307.34
## 1233         -26852.2566              -3413767.74              -5206692.49
## 1234         -22660.1054              -3411201.36              -5204986.75
## 1235         -31557.0375              -3421724.52              -5216370.77
## 1236         -24918.8633              -3416711.23              -5212217.66
## 1237         -23456.4501              -3416891.77              -5213267.92
## 1238         -29241.4185              -3424307.95              -5221547.62
## 1239         -39994.6848              -3436691.84              -5234794.71
## 1240         -22028.9568              -3420352.70              -5219316.62
## 1241         -32964.4493              -3432915.32              -5232740.58
## 1242         -33673.4108              -3435248.75              -5235933.96
## 1243         -39362.4088              -3442562.75              -5244108.19
## 1244         -22964.5663              -3427787.83              -5230192.39
## 1245         -29860.6066              -3436307.19              -5239571.09
## 1246         -25668.4554              -3433736.61              -5237858.91
## 1247         -34565.3874              -3444255.57              -5249236.52
## 1248         -27927.2133              -3439238.10              -5245077.00
## 1249         -26464.8001              -3439414.40              -5246120.78
## 1250         -32249.7685              -3446826.36              -5254394.02
## 1251         -43003.0348              -3459206.05              -5267634.68
## 1252         -25037.3068              -3442862.72              -5252150.20
## 1253         -35972.7993              -3455421.15              -5265567.76
## 1254         -36681.7608              -3457750.41              -5268754.76
## 1255         -42370.7588              -3465060.25              -5276922.62
## 1256         -25972.9163              -3450281.18              -5263000.47
## 1257         -32868.9566              -3458796.40              -5272372.83
## 1258         -28676.8053              -3456221.68              -5270654.33
## 1259         -37573.7374              -3466736.51              -5282025.63
## 1260         -30935.5633              -3461714.92              -5277859.81
## 1261         -29473.1501              -3461887.06              -5278897.22
## 1262         -35258.1185              -3469294.88              -5287164.13
## 1263         -46011.3848              -3481670.43              -5300398.46
## 1264         -28045.6568              -3465322.98              -5284907.68
## 1265         -38981.1493              -3477877.30              -5298318.96
## 1266         -39690.1108              -3480202.47              -5301499.69
## 1267         -45379.1087              -3487508.21              -5309661.30
## 1268         -28981.2663              -3472725.06              -5295732.90
## 1269         -35877.3066              -3481236.20              -5305099.03
## 1270         -31685.1553              -3478657.42              -5303374.32
## 1271         -40582.0874              -3489168.20              -5314739.41
## 1272         -33943.9132              -3484142.56              -5310567.40
## 1273         -32481.5001              -3484310.60              -5311598.55
## 1274         -38266.4685              -3491714.35              -5319859.22
## 1275         -49019.7348              -3504085.83              -5333087.34
## 1276         -31054.0068              -3487734.34              -5317590.37
## 1277         -41989.4993              -3500284.61              -5330995.46
## 1278         -42698.4608              -3502605.75              -5334170.04
## 1279         -48387.4587              -3509907.48              -5342325.49
## 1280         -31989.6163              -3495120.31              -5328390.96
## 1281         -38885.6566              -3503627.45              -5337750.96
## 1282         -34693.5053              -3501044.67              -5336020.13
## 1283         -43590.4374              -3511551.45              -5347379.12
## 1284         -36952.2632              -3506521.84              -5343201.03
## 1285         -35489.8500              -3506685.85              -5344226.02
## 1286         -41274.8185              -3514085.59              -5352480.57
## 1287         -52028.0848              -3526453.08              -5365702.57
##      ramalan_arima2$upper.80% ramalan_arima2$upper.95%
## 1                    512236.2                 633707.8
## 2                    541471.6                 681572.0
## 3                    564060.8                 719862.0
## 4                    594022.4                 756914.1
## 5                    601750.8                 773454.9
## 6                    609936.6                 787038.5
## 7                    618676.6                 802729.7
## 8                    643521.4                 832576.9
## 9                    649060.9                 844225.7
## 10                   661656.7                 861658.9
## 11                   663937.1                 869521.5
## 12                   678939.0                 889231.3
## 13                   690785.2                 906335.7
## 14                   693330.9                 913492.6
## 15                   692200.9                 917286.3
## 16                   718336.7                 947891.3
## 17                   716448.9                 950671.0
## 18                   723739.3                 962299.2
## 19                   726634.8                 969651.7
## 20                   750850.5                 998079.8
## 21                   752154.1                1003661.5
## 22                   763978.0                1019578.3
## 23                   762954.0                1022677.2
## 24                   777038.3                1040741.3
## 25                   786183.8                1053921.8
## 26                   787713.9                1059351.4
## 27                   784351.4                1059878.3
## 28                   809438.3                1088754.4
## 29                   805661.1                1088750.1
## 30                   811901.2                1098682.8
## 31                   813167.9                1103619.9
## 32                   836354.0                1130409.4
## 33                   836231.4                1133864.1
## 34                   847059.7                1148212.4
## 35                   844770.1                1149414.5
## 36                   857900.5                1165986.7
## 37                   865896.7                1177437.4
## 38                   866511.3                1181443.5
## 39                   862112.5                1180405.4
## 40                   886333.0                1207939.6
## 41                   881609.8                1206502.7
## 42                   887029.8                1215169.0
## 43                   887425.9                1218784.8
## 44                   909835.9                1244378.8
## 45                   908907.1                1246607.8
## 46                   919001.2                1259827.1
## 47                   915961.0                1259886.5
## 48                   928396.5                1275391.6
## 49                   935682.4                1285759.6
## 50                   935634.5                1288749.2
## 51                   930572.6                1286699.8
## 52                   954166.8                1313273.8
## 53                   948820.2                1310885.5
## 54                   953646.2                1318641.8
## 55                   953454.0                1321359.2
## 56                   975299.9                1346089.3
## 57                   973814.2                1347467.6
## 58                   983371.8                1359865.6
## 59                   979803.3                1359117.8
## 60                   991728.0                1373841.0
## 61                   998505.5                1383432.0
## 62                   997967.0                1385671.0
## 63                   992423.7                1382885.6
## 64                  1015550.8                1408745.0
## 65                  1009745.7                1405655.8
## 66                  1014125.7                1412729.6
## 67                  1013495.6                1414777.6
## 68                  1034914.7                1438854.8
## 69                  1033010.4                1439592.9
## 70                  1042159.1                1451365.4
## 71                  1038189.6                1450004.4
## 72                  1049722.2                1464128.0
## 73                  1056110.3                1473123.5
## 74                  1055192.9                1474782.9
## 75                  1049277.9                1471429.1
## 76                  1072041.7                1496732.9
## 77                  1065879.9                1493098.1
## 78                  1069910.7                1499637.9
## 79                  1068937.7                1501161.5
## 80                  1090020.7                1524724.6
## 81                  1087786.1                1524957.7
## 82                  1096611.0                1536235.0
## 83                  1092323.4                1534387.4
## 84                  1103543.8                1548033.4
## 85                  1109621.1                1556553.8
## 86                  1108400.2                1557749.0
## 87                  1102186.9                1553939.0
## 88                  1124658.4                1578795.6
## 89                  1118208.9                1574720.9
## 90                  1121957.2                1580828.7
## 91                  1120706.2                1581927.1
## 92                  1141516.0                1605072.5
## 93                  1139012.6                1604894.4
## 94                  1147573.1                1615767.4
## 95                  1143025.2                1613521.7
## 96                  1153989.6                1626776.2
## 97                  1159811.7                1634906.2
## 98                  1158340.9                1635719.2
## 99                  1151881.5                1631532.9
## 100                 1174111.3                1656019.9
## 101                 1167423.5                1651580.8
## 102                 1170937.5                1657330.1
## 103                 1169455.4                1658075.1
## 104                 1190037.7                1680872.5
## 105                 1187310.0                1680351.4
## 106                 1195649.6                1690886.5
## 107                 1190883.8                1688307.6
## 108                 1201633.5                1701233.8
## 109                 1207241.2                1709035.9
## 110                 1205560.1                1709527.3
## 111                 1198893.4                1705023.9
## 112                 1220919.2                1729198.9
## 113                 1214030.1                1724451.8
## 114                 1217345.6                1729897.7
## 115                 1215667.6                1730343.1
## 116                 1236056.8                1752845.2
## 117                 1233138.4                1752032.4
## 118                 1241289.8                1762279.8
## 119                 1236338.3                1759416.8
## 120                 1246904.7                1772062.7
## 121                 1252329.1                1779584.5
## 122                 1250468.1                1779800.7
## 123                 1243623.7                1775025.5
## 124                 1265474.4                1798932.8
## 125                 1258412.3                1793921.1
## 126                 1261557.1                1799106.0
## 127                 1259710.4                1799293.3
## 128                 1279933.1                1821540.7
## 129                 1276850.0                1820476.1
## 130                 1284838.9                1830474.8
## 131                 1279726.7                1827366.1
## 132                 1290134.3                1839769.2
## 133                 1295399.8                1847047.9
## 134                 1293382.6                1847025.2
## 135                 1286383.8                1842013.9
## 136                 1308082.2                1865688.3
## 137                 1300869.4                1860446.2
## 138                 1303865.5                1865403.6
## 139                 1301871.6                1865365.7
## 140                 1321948.8                1887390.6
## 141                 1318721.8                1886106.0
## 142                 1326568.4                1895887.2
## 143                 1321315.4                1892563.2
## 144                 1331583.9                1904753.4
## 145                 1336710.0                1911818.9
## 146                 1334555.5                1911586.3
## 147                 1327421.0                1906367.5
## 148                 1348985.5                1929837.0
## 149                 1341640.0                1924391.9
## 150                 1344504.9                1929148.8
## 151                 1342381.2                1928912.4
## 152                 1362330.0                1950740.9
## 153                 1358975.9                1949261.8
## 154                 1366696.7                1958850.6
## 155                 1361319.2                1955336.1
## 156                 1371464.4                1967337.9
## 157                 1376466.9                1974214.4
## 158                 1374190.8                1973795.7
## 159                 1366935.8                1968392.6
## 160                 1388381.2                1991680.1
## 161                 1380917.8                1986054.7
## 162                 1383666.1                1990633.2
## 163                 1381426.8                1990220.0
## 164                 1401261.2                2011873.6
## 165                 1397793.7                2010221.1
## 166                 1405402.4                2019638.3
## 167                 1399913.7                2015953.8
## 168                 1409948.8                2027787.2
## 169                 1414840.9                2034494.8
## 170                 1412455.9                2033909.7
## 171                 1405093.0                2028341.6
## 172                 1426431.9                2051466.1
## 173                 1418862.8                2045679.1
## 174                 1421506.5                2050097.6
## 175                 1419163.5                2049525.8
## 176                 1438895.2                2071022.4
## 177                 1435325.9                2069214.1
## 178                 1442833.7                2078477.1
## 179                 1437245.0                2074639.7
## 180                 1447181.1                2086321.6
## 181                 1451973.6                2092877.0
## 182                 1449490.6                2092141.9
## 183                 1442030.6                2086425.2
## 184                 1463273.3                2109402.7
## 185                 1455608.8                2103469.7
## 186                 1458158.1                2107743.8
## 187                 1455721.3                2107028.7
## 188                 1475360.2                2128383.3
## 189                 1471698.8                2126434.3
## 190                 1479115.4                2135557.7
## 191                 1473436.1                2131581.8
## 192                 1483282.5                2143126.4
## 193                 1487984.9                2149544.0
## 194                 1485412.9                2148672.9
## 195                 1477864.7                2142821.3
## 196                 1499020.2                2165665.3
## 197                 1491269.0                2159599.9
## 198                 1493732.5                2163742.8
## 199                 1491210.6                2162897.4
## 200                 1510765.1                2184122.9
## 201                 1507019.9                2182045.7
## 202                 1514353.4                2191042.1
## 203                 1508591.7                2186940.1
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## 1198                3316015.6                5078626.2
## 1199                3308757.9                5072236.3
## 1200                3317034.0                5081379.4
## 1201                3320152.5                5085374.6
## 1202                3316011.9                5082104.4
## 1203                3306902.3                5073865.0
## 1204                3326507.6                5094338.2
## 1205                3317212.2                5085911.1
## 1206                3318140.7                5087706.3
## 1207                3314089.6                5084522.3
## 1208                3332123.3                5103421.9
## 1209                3326863.4                5099028.2
## 1210                3332690.0                5105720.0
## 1211                3325427.9                5099323.3
## 1212                3333699.6                5108459.7
## 1213                3336813.6                5112448.1
## 1214                3332668.5                5109171.1
## 1215                3323554.5                5100924.9
## 1216                3343155.4                5121391.4
## 1217                3333855.7                5112957.5
## 1218                3334779.7                5114746.0
## 1219                3330724.3                5111555.3
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## 1222                3349311.6                5132733.0
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## 1224                3350312.4                5135459.4
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## 1226                3349272.7                5136157.4
## 1227                3340154.3                5127904.5
## 1228                3359750.9                5148364.4
## 1229                3350446.7                5139923.9
## 1230                3351366.5                5141705.9
## 1231                3347306.7                5138508.6
## 1232                3365331.7                5157394.9
## 1233                3360063.2                5152988.0
## 1234                3365881.2                5159666.5
## 1235                3358610.4                5153256.7
## 1236                3366873.5                5162379.9
## 1237                3369978.9                5166355.0
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## 1239                3356702.5                5154805.3
## 1240                3376294.8                5175258.7
## 1241                3366986.4                5166811.7
## 1242                3367901.9                5168587.1
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## 1244                3381858.7                5184263.3
## 1245                3376586.0                5179849.9
## 1246                3382399.7                5186522.0
## 1247                3375124.8                5180105.7
## 1248                3383383.7                5189222.6
## 1249                3386484.8                5193191.2
## 1250                3382326.8                5189894.5
## 1251                3373200.0                5181628.6
## 1252                3392788.1                5202075.6
## 1253                3383475.5                5193622.2
## 1254                3384386.9                5195391.2
## 1255                3380318.7                5192181.1
## 1256                3398335.3                5211054.6
## 1257                3393058.5                5206634.9
## 1258                3398868.1                5213300.7
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## 1260                3399843.8                5215988.7
## 1261                3402940.8                5219950.9
## 1262                3398778.6                5216647.9
## 1263                3389647.7                5208375.7
## 1264                3409231.7                5228816.4
## 1265                3399915.0                5220356.7
## 1266                3400822.2                5222119.5
## 1267                3396750.0                5218903.1
## 1268                3414762.5                5237770.4
## 1269                3409481.6                5233344.4
## 1270                3415287.1                5240004.0
## 1271                3408004.0                5233575.2
## 1272                3416254.7                5242679.6
## 1273                3419347.6                5246635.5
## 1274                3415181.4                5243326.3
## 1275                3406046.4                5235047.9
## 1276                3425626.3                5255482.4
## 1277                3416305.6                5247016.5
## 1278                3417208.8                5248773.1
## 1279                3413132.6                5245550.6
## 1280                3431141.1                5264411.7
## 1281                3425856.1                5259979.6
## 1282                3431657.7                5266633.1
## 1283                3424370.6                5260198.2
## 1284                3432617.3                5269296.5
## 1285                3435706.2                5273246.3
## 1286                3431536.0                5269930.9
## 1287                3422396.9                5261646.4

Visualisasi Hasil Forecasting

# Plot hasil forecasting
plot(ramalan_arima2$mean,
     type = "l",
     col = "blue",
     lwd = 2,
     xlab = "Periode",
     ylab = "Weekly Sales",
     main = "Hasil Forecasting SARIMA")

# Menambahkan batas bawah
lines(ramalan_arima2$lower[,2],
      col = "red",
      lwd = 2)

# Menambahkan batas atas
lines(ramalan_arima2$upper[,2],
      col = "green",
      lwd = 2)

# Menambahkan legenda
legend("topleft",
       c("Forecast",
         "Lower 95%",
         "Upper 95%"),
       col = c("blue",
               "red",
               "green"),
       lty = 1,
       lwd = 2,
       cex = 0.8)

# Kesimpulan Forecasting

Berdasarkan hasil forecasting menggunakan model SARIMA terbaik, diperoleh hasil prediksi data pada beberapa periode ke depan dengan tingkat akurasi yang cukup baik.

Model SARIMA yang terbentuk mampu mengikuti pola data historis sehingga dapat digunakan untuk membantu proses prediksi data time series pada periode berikutnya.