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Kurz:",[569,946,949],{"className":947},[948],"katex-display",[569,950,952,1000],{"className":951},[572],[569,953,955],{"className":954},[576],[578,956,958],{"xmlns":580,"display":957},"block",[582,959,960,997],{},[585,961,962,964,967],{},[588,963,797],{},[628,965,966],{},"=",[832,968,969,980],{},[633,970,971,974],{},[588,972,973],{},"s",[585,975,976,978],{},[588,977,637],{},[588,979,648],{},[585,981,982,988,991],{},[633,983,984,986],{},[588,985,973],{},[588,987,637],{},[628,989,990],{},"⋅",[633,992,993,995],{},[588,994,973],{},[588,996,648],{},[592,998,999],{"encoding":594},"r = \\frac{s_{xy}}{s_x \\cdot s_y}",[569,1001,1003,1023],{"className":1002,"ariaHidden":599},[598],[569,1004,1006,1009,1012,1016,1020],{"className":1005},[603],[569,1007],{"className":1008,"style":608},[607],[569,1010,797],{"className":1011,"style":812},[612,613],[569,1013],{"className":1014,"style":1015},[734],"margin-right:0.2778em;",[569,1017,966],{"className":1018},[1019],"mrel",[569,1021],{"className":1022,"style":1015},[734],[569,1024,1026,1030],{"className":1025},[603],[569,1027],{"className":1028,"style":1029},[607],"height:2.0797em;vertical-align:-0.9721em;",[569,1031,1033,1036,1225],{"className":1032},[612],[569,1034],{"className":1035},[670,866],[569,1037,1039],{"className":1038},[832],[569,1040,1042,1216],{"className":1041},[684,685],[569,1043,1045,1213],{"className":1044},[689],[569,1046,1049,1150,1158],{"className":1047,"style":1048},[693],"height:1.1076em;",[569,1050,1052,1055],{"style":1051},"top:-2.314em;",[569,1053],{"className":1054,"style":886},[701],[569,1056,1058,1099,1103,1106,1109],{"className":1057},[612],[569,1059,1061,1064],{"className":1060},[612],[569,1062,973],{"className":1063},[612,613],[569,1065,1067],{"className":1066},[680],[569,1068,1070,1091],{"className":1069},[684,685],[569,1071,1073,1088],{"className":1072},[689],[569,1074,1077],{"className":1075,"style":1076},[693],"height:0.1514em;",[569,1078,1079,1082],{"style":697},[569,1080],{"className":1081,"style":702},[701],[569,1083,1085],{"className":1084},[706,707,708,709],[569,1086,637],{"className":1087},[612,613,709],[569,1089,717],{"className":1090},[716],[569,1092,1094],{"className":1093},[689],[569,1095,1097],{"className":1096,"style":724},[693],[569,1098],{},[569,1100],{"className":1101,"style":1102},[734],"margin-right:0.2222em;",[569,1104,990],{"className":1105},[899],[569,1107],{"className":1108,"style":1102},[734],[569,1110,1112,1115],{"className":1111},[612],[569,1113,973],{"className":1114},[612,613],[569,1116,1118],{"className":1117},[680],[569,1119,1121,1141],{"className":1120},[684,685],[569,1122,1124,1138],{"className":1123},[689],[569,1125,1127],{"className":1126,"style":1076},[693],[569,1128,1129,1132],{"style":697},[569,1130],{"className":1131,"style":702},[701],[569,1133,1135],{"className":1134},[706,707,708,709],[569,1136,648],{"className":1137,"style":742},[612,613,709],[569,1139,717],{"className":1140},[716],[569,1142,1144],{"className":1143},[689],[569,1145,1148],{"className":1146,"style":1147},[693],"height:0.2861em;",[569,1149],{},[569,1151,1152,1155],{"style":905},[569,1153],{"className":1154,"style":886},[701],[569,1156],{"className":1157,"style":913},[912],[569,1159,1161,1164],{"style":1160},"top:-3.677em;",[569,1162],{"className":1163,"style":886},[701],[569,1165,1167],{"className":1166},[612],[569,1168,1170,1173],{"className":1169},[612],[569,1171,973],{"className":1172},[612,613],[569,1174,1176],{"className":1175},[680],[569,1177,1179,1205],{"className":1178},[684,685],[569,1180,1182,1202],{"className":1181},[689],[569,1183,1185],{"className":1184,"style":1076},[693],[569,1186,1187,1190],{"style":697},[569,1188],{"className":1189,"style":702},[701],[569,1191,1193],{"className":1192},[706,707,708,709],[569,1194,1196,1199],{"className":1195},[612,709],[569,1197,637],{"className":1198},[612,613,709],[569,1200,648],{"className":1201,"style":742},[612,613,709],[569,1203,717],{"className":1204},[716],[569,1206,1208],{"className":1207},[689],[569,1209,1211],{"className":1210,"style":1147},[693],[569,1212],{},[569,1214,717],{"className":1215},[716],[569,1217,1219],{"className":1218},[689],[569,1220,1223],{"className":1221,"style":1222},[693],"height:0.9721em;",[569,1224],{},[569,1226],{"className":1227},[781,866],[565,1229,1230,1231,1259,1260,1313],{},"Ob man dabei durch ",[569,1232,1234,1247],{"className":1233},[572],[569,1235,1237],{"className":1236},[576],[578,1238,1239],{"xmlns":580},[582,1240,1241,1245],{},[585,1242,1243],{},[588,1244,590],{},[592,1246,590],{"encoding":594},[569,1248,1250],{"className":1249,"ariaHidden":599},[598],[569,1251,1253,1256],{"className":1252},[603],[569,1254],{"className":1255,"style":608},[607],[569,1257,590],{"className":1258},[612,613]," oder ",[569,1261,1263,1281],{"className":1262},[572],[569,1264,1266],{"className":1265},[576],[578,1267,1268],{"xmlns":580},[582,1269,1270,1278],{},[585,1271,1272,1274,1276],{},[588,1273,590],{},[628,1275,844],{},[835,1277,837],{},[592,1279,1280],{"encoding":594},"n - 1",[569,1282,1284,1303],{"className":1283,"ariaHidden":599},[598],[569,1285,1287,1291,1294,1297,1300],{"className":1286},[603],[569,1288],{"className":1289,"style":1290},[607],"height:0.6667em;vertical-align:-0.0833em;",[569,1292,590],{"className":1293},[612,613],[569,1295],{"className":1296,"style":1102},[734],[569,1298,844],{"className":1299},[899],[569,1301],{"className":1302,"style":1102},[734],[569,1304,1306,1310],{"className":1305},[603],[569,1307],{"className":1308,"style":1309},[607],"height:0.6444em;",[569,1311,837],{"className":1312},[612]," teilt, ist egal, der Faktor kürzt sich.",[565,1315,1316],{},"Deutung:",[1318,1319,1320,1433,1498],"ul",{},[1321,1322,1323,1374,1375,1432],"li",{},[569,1324,1326,1344],{"className":1325},[572],[569,1327,1329],{"className":1328},[576],[578,1330,1331],{"xmlns":580},[582,1332,1333,1341],{},[585,1334,1335,1337,1339],{},[588,1336,797],{},[628,1338,966],{},[835,1340,837],{},[592,1342,1343],{"encoding":594},"r = 1",[569,1345,1347,1365],{"className":1346,"ariaHidden":599},[598],[569,1348,1350,1353,1356,1359,1362],{"className":1349},[603],[569,1351],{"className":1352,"style":608},[607],[569,1354,797],{"className":1355,"style":812},[612,613],[569,1357],{"className":1358,"style":1015},[734],[569,1360,966],{"className":1361},[1019],[569,1363],{"className":1364,"style":1015},[734],[569,1366,1368,1371],{"className":1367},[603],[569,1369],{"className":1370,"style":1309},[607],[569,1372,837],{"className":1373},[612]," bzw. ",[569,1376,1378,1398],{"className":1377},[572],[569,1379,1381],{"className":1380},[576],[578,1382,1383],{"xmlns":580},[582,1384,1385,1395],{},[585,1386,1387,1389,1391,1393],{},[588,1388,797],{},[628,1390,966],{},[628,1392,844],{},[835,1394,837],{},[592,1396,1397],{"encoding":594},"r = -1",[569,1399,1401,1419],{"className":1400,"ariaHidden":599},[598],[569,1402,1404,1407,1410,1413,1416],{"className":1403},[603],[569,1405],{"className":1406,"style":608},[607],[569,1408,797],{"className":1409,"style":812},[612,613],[569,1411],{"className":1412,"style":1015},[734],[569,1414,966],{"className":1415},[1019],[569,1417],{"className":1418,"style":1015},[734],[569,1420,1422,1426,1429],{"className":1421},[603],[569,1423],{"className":1424,"style":1425},[607],"height:0.7278em;vertical-align:-0.0833em;",[569,1427,844],{"className":1428},[612],[569,1430,837],{"className":1431},[612],": Alle Punkte liegen exakt auf einer Geraden mit positiver bzw. negativer Steigung.",[1321,1434,1435,1463,1464,1493,1494,1497],{},[569,1436,1438,1451],{"className":1437},[572],[569,1439,1441],{"className":1440},[576],[578,1442,1443],{"xmlns":580},[582,1444,1445,1449],{},[585,1446,1447],{},[588,1448,797],{},[592,1450,797],{"encoding":594},[569,1452,1454],{"className":1453,"ariaHidden":599},[598],[569,1455,1457,1460],{"className":1456},[603],[569,1458],{"className":1459,"style":608},[607],[569,1461,797],{"className":1462,"style":812},[612,613]," nahe ",[569,1465,1467,1481],{"className":1466},[572],[569,1468,1470],{"className":1469},[576],[578,1471,1472],{"xmlns":580},[582,1473,1474,1479],{},[585,1475,1476],{},[835,1477,1478],{},"0",[592,1480,1478],{"encoding":594},[569,1482,1484],{"className":1483,"ariaHidden":599},[598],[569,1485,1487,1490],{"className":1486},[603],[569,1488],{"className":1489,"style":1309},[607],[569,1491,1478],{"className":1492},[612],": Es gibt keinen ",[815,1495,1496],{},"linearen"," Zusammenhang.",[1321,1499,1500,1501,1577],{},"Faustregel (je nach Fach verschieden): ab etwa ",[569,1502,1504,1530],{"className":1503},[572],[569,1505,1507],{"className":1506},[576],[578,1508,1509],{"xmlns":580},[582,1510,1511,1527],{},[585,1512,1513,1517,1519,1521,1524],{},[588,1514,1516],{"mathvariant":1515},"normal","∣",[588,1518,797],{},[588,1520,1516],{"mathvariant":1515},[628,1522,1523],{},"≥",[835,1525,1526],{},"0,7",[592,1528,1529],{"encoding":594},"|r| \\geq 0{,}7",[569,1531,1533,1557],{"className":1532,"ariaHidden":599},[598],[569,1534,1536,1539,1542,1545,1548,1551,1554],{"className":1535},[603],[569,1537],{"className":1538,"style":666},[607],[569,1540,1516],{"className":1541},[612],[569,1543,797],{"className":1544,"style":812},[612,613],[569,1546,1516],{"className":1547},[612],[569,1549],{"className":1550,"style":1015},[734],[569,1552,1523],{"className":1553},[1019],[569,1555],{"className":1556,"style":1015},[734],[569,1558,1560,1564,1567,1573],{"className":1559},[603],[569,1561],{"className":1562,"style":1563},[607],"height:0.8389em;vertical-align:-0.1944em;",[569,1565,1478],{"className":1566},[612],[569,1568,1570],{"className":1569},[612],[569,1571,643],{"className":1572},[730],[569,1574,1576],{"className":1575},[612],"7"," spricht man von einem starken linearen Zusammenhang.",[565,1579,1580,1608,1609,1612,1613,1875],{},[569,1581,1583,1596],{"className":1582},[572],[569,1584,1586],{"className":1585},[576],[578,1587,1588],{"xmlns":580},[582,1589,1590,1594],{},[585,1591,1592],{},[588,1593,797],{},[592,1595,797],{"encoding":594},[569,1597,1599],{"className":1598,"ariaHidden":599},[598],[569,1600,1602,1605],{"className":1601},[603],[569,1603],{"className":1604,"style":608},[607],[569,1606,797],{"className":1607,"style":812},[612,613]," ist ",[815,1610,1611],{},"dimensionslos"," und ändert sich nicht, wenn man die Werte linear mit positivem Faktor umrechnet (z.B. andere Einheit). Für Zufallsgrößen ist das Gegenstück ",[569,1614,1616,1670],{"className":1615},[572],[569,1617,1619],{"className":1618},[576],[578,1620,1621],{"xmlns":580},[582,1622,1623,1667],{},[585,1624,1625,1628,1630],{},[588,1626,1627],{},"ρ",[628,1629,966],{},[832,1631,1632,1652],{},[585,1633,1634,1637,1640,1642,1645,1647,1650],{},[588,1635,1636],{"mathvariant":1515},"Cov",[628,1638,1639],{},"⁡",[628,1641,631],{"stretchy":630},[588,1643,1644],{},"X",[628,1646,643],{"separator":599},[588,1648,1649],{},"Y",[628,1651,653],{"stretchy":630},[585,1653,1654,1661],{},[633,1655,1656,1659],{},[588,1657,1658],{},"σ",[588,1660,1644],{},[633,1662,1663,1665],{},[588,1664,1658],{},[588,1666,1649],{},[592,1668,1669],{"encoding":594},"\\rho = \\frac{\\operatorname{Cov}(X, Y)}{\\sigma_X \\sigma_Y}",[569,1671,1673,1692],{"className":1672,"ariaHidden":599},[598],[569,1674,1676,1680,1683,1686,1689],{"className":1675},[603],[569,1677],{"className":1678,"style":1679},[607],"height:0.625em;vertical-align:-0.1944em;",[569,1681,1627],{"className":1682},[612,613],[569,1684],{"className":1685,"style":1015},[734],[569,1687,966],{"className":1688},[1019],[569,1690],{"className":1691,"style":1015},[734],[569,1693,1695,1699],{"className":1694},[603],[569,1696],{"className":1697,"style":1698},[607],"height:1.4553em;vertical-align:-0.4453em;",[569,1700,1702,1705,1872],{"className":1701},[612],[569,1703],{"className":1704},[670,866],[569,1706,1708],{"className":1707},[832],[569,1709,1711,1863],{"className":1710},[684,685],[569,1712,1714,1860],{"className":1713},[689],[569,1715,1718,1816,1824],{"className":1716,"style":1717},[693],"height:1.01em;",[569,1719,1720,1723],{"style":882},[569,1721],{"className":1722,"style":886},[701],[569,1724,1726],{"className":1725},[706,707,708,709],[569,1727,1729,1776],{"className":1728},[612,709],[569,1730,1732,1735],{"className":1731},[612,709],[569,1733,1658],{"className":1734,"style":742},[612,613,709],[569,1736,1738],{"className":1737},[680],[569,1739,1741,1767],{"className":1740},[684,685],[569,1742,1744,1764],{"className":1743},[689],[569,1745,1748],{"className":1746,"style":1747},[693],"height:0.3448em;",[569,1749,1751,1755],{"style":1750},"top:-2.3567em;margin-left:-0.0359em;margin-right:0.0714em;",[569,1752],{"className":1753,"style":1754},[701],"height:2.5em;",[569,1756,1760],{"className":1757},[706,1758,1759,709],"reset-size3","size1",[569,1761,1644],{"className":1762,"style":1763},[612,613,709],"margin-right:0.0785em;",[569,1765,717],{"className":1766},[716],[569,1768,1770],{"className":1769},[689],[569,1771,1774],{"className":1772,"style":1773},[693],"height:0.1433em;",[569,1775],{},[569,1777,1779,1782],{"className":1778},[612,709],[569,1780,1658],{"className":1781,"style":742},[612,613,709],[569,1783,1785],{"className":1784},[680],[569,1786,1788,1808],{"className":1787},[684,685],[569,1789,1791,1805],{"className":1790},[689],[569,1792,1794],{"className":1793,"style":1747},[693],[569,1795,1796,1799],{"style":1750},[569,1797],{"className":1798,"style":1754},[701],[569,1800,1802],{"className":1801},[706,1758,1759,709],[569,1803,1649],{"className":1804,"style":1102},[612,613,709],[569,1806,717],{"className":1807},[716],[569,1809,1811],{"className":1810},[689],[569,1812,1814],{"className":1813,"style":1773},[693],[569,1815],{},[569,1817,1818,1821],{"style":905},[569,1819],{"className":1820,"style":886},[701],[569,1822],{"className":1823,"style":913},[912],[569,1825,1827,1830],{"style":1826},"top:-3.485em;",[569,1828],{"className":1829,"style":886},[701],[569,1831,1833],{"className":1832},[706,707,708,709],[569,1834,1836,1845,1848,1851,1854,1857],{"className":1835},[612,709],[569,1837,1840],{"className":1838},[1839,709],"mop",[569,1841,1636],{"className":1842,"style":1844},[612,1843,709],"mathrm","margin-right:0.0139em;",[569,1846,631],{"className":1847},[670,709],[569,1849,1644],{"className":1850,"style":1763},[612,613,709],[569,1852,643],{"className":1853},[730,709],[569,1855,1649],{"className":1856,"style":1102},[612,613,709],[569,1858,653],{"className":1859},[781,709],[569,1861,717],{"className":1862},[716],[569,1864,1866],{"className":1865},[689],[569,1867,1870],{"className":1868,"style":1869},[693],"height:0.4453em;",[569,1871],{},[569,1873],{"className":1874},[781,866],".",[560,1877,1879],{"id":1878},"beispiele","Beispiele",[565,1881,1882,1883,1936,1937,1936,1990,2044,2045,1936,2135,2304,2305,2333,2334,2362,2363,2391,2392,2362,2491,2519],{},"Datenpaare 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",[569,3936,3938,3951],{"className":3937},[572],[569,3939,3941],{"className":3940},[576],[578,3942,3943],{"xmlns":580},[582,3944,3945,3949],{},[585,3946,3947],{},[588,3948,648],{},[592,3950,648],{"encoding":594},[569,3952,3954],{"className":3953,"ariaHidden":599},[598],[569,3955,3957,3960],{"className":3956},[603],[569,3958],{"className":3959,"style":1679},[607],[569,3961,648],{"className":3962,"style":742},[612,613]," exakt durch ",[569,3965,3967,3980],{"className":3966},[572],[569,3968,3970],{"className":3969},[576],[578,3971,3972],{"xmlns":580},[582,3973,3974,3978],{},[585,3975,3976],{},[588,3977,637],{},[592,3979,637],{"encoding":594},[569,3981,3983],{"className":3982,"ariaHidden":599},[598],[569,3984,3986,3989],{"className":3985},[603],[569,3987],{"className":3988,"style":608},[607],[569,3990,637],{"className":3991},[612,613]," bestimmt ist. Der Zusammenhang ist eben nicht linear.",[560,3994,3996],{"id":3995},"typische-fehler","Typische Fehler",[1318,3998,3999,4031,4116,4307],{},[1321,4000,4001,4002,4030],{},"Korrelation als Ursache-Wirkung deuten. Ein hohes ",[569,4003,4005,4018],{"className":4004},[572],[569,4006,4008],{"className":4007},[576],[578,4009,4010],{"xmlns":580},[582,4011,4012,4016],{},[585,4013,4014],{},[588,4015,797],{},[592,4017,797],{"encoding":594},[569,4019,4021],{"className":4020,"ariaHidden":599},[598],[569,4022,4024,4027],{"className":4023},[603],[569,4025],{"className":4026,"style":608},[607],[569,4028,797],{"className":4029,"style":812},[612,613]," kann durch eine dritte Größe entstehen (Scheinkorrelation).",[1321,4032,4033,4034,4086,4087,4115],{},"Aus ",[569,4035,4037,4055],{"className":4036},[572],[569,4038,4040],{"className":4039},[576],[578,4041,4042],{"xmlns":580},[582,4043,4044,4052],{},[585,4045,4046,4048,4050],{},[588,4047,797],{},[628,4049,2562],{},[835,4051,1478],{},[592,4053,4054],{"encoding":594},"r \\approx 0",[569,4056,4058,4077],{"className":4057,"ariaHidden":599},[598],[569,4059,4061,4065,4068,4071,4074],{"className":4060},[603],[569,4062],{"className":4063,"style":4064},[607],"height:0.4831em;",[569,4066,797],{"className":4067,"style":812},[612,613],[569,4069],{"className":4070,"style":1015},[734],[569,4072,2562],{"className":4073},[1019],[569,4075],{"className":4076,"style":1015},[734],[569,4078,4080,4083],{"className":4079},[603],[569,4081],{"className":4082,"style":1309},[607],[569,4084,1478],{"className":4085},[612]," schließen, dass kein Zusammenhang besteht. Nichtlineare Zusammenhänge wie im zweiten Beispiel erfasst ",[569,4088,4090,4103],{"className":4089},[572],[569,4091,4093],{"className":4092},[576],[578,4094,4095],{"xmlns":580},[582,4096,4097,4101],{},[585,4098,4099],{},[588,4100,797],{},[592,4102,797],{"encoding":594},[569,4104,4106],{"className":4105,"ariaHidden":599},[598],[569,4107,4109,4112],{"className":4108},[603],[569,4110],{"className":4111,"style":608},[607],[569,4113,797],{"className":4114,"style":812},[612,613]," nicht.",[1321,4117,4118,4146,4147,4209,4210,4238,4239,4267,4268,4306],{},[569,4119,4121,4134],{"className":4120},[572],[569,4122,4124],{"className":4123},[576],[578,4125,4126],{"xmlns":580},[582,4127,4128,4132],{},[585,4129,4130],{},[588,4131,797],{},[592,4133,797],{"encoding":594},[569,4135,4137],{"className":4136,"ariaHidden":599},[598],[569,4138,4140,4143],{"className":4139},[603],[569,4141],{"className":4142,"style":608},[607],[569,4144,797],{"className":4145,"style":812},[612,613]," mit der Steigung der Regressionsgeraden verwechseln. ",[569,4148,4150,4169],{"className":4149},[572],[569,4151,4153],{"className":4152},[576],[578,4154,4155],{"xmlns":580},[582,4156,4157,4166],{},[585,4158,4159,4161,4163],{},[588,4160,797],{},[628,4162,966],{},[835,4164,4165],{},"0,98",[592,4167,4168],{"encoding":594},"r = 0{,}98",[569,4170,4172,4190],{"className":4171,"ariaHidden":599},[598],[569,4173,4175,4178,4181,4184,4187],{"className":4174},[603],[569,4176],{"className":4177,"style":608},[607],[569,4179,797],{"className":4180,"style":812},[612,613],[569,4182],{"className":4183,"style":1015},[734],[569,4185,966],{"className":4186},[1019],[569,4188],{"className":4189,"style":1015},[734],[569,4191,4193,4196,4199,4205],{"className":4192},[603],[569,4194],{"className":4195,"style":1563},[607],[569,4197,1478],{"className":4198},[612],[569,4200,4202],{"className":4201},[612],[569,4203,643],{"className":4204},[730],[569,4206,4208],{"className":4207},[612],"98"," heißt nicht, dass ",[569,4211,4213,4226],{"className":4212},[572],[569,4214,4216],{"className":4215},[576],[578,4217,4218],{"xmlns":580},[582,4219,4220,4224],{},[585,4221,4222],{},[588,4223,648],{},[592,4225,648],{"encoding":594},[569,4227,4229],{"className":4228,"ariaHidden":599},[598],[569,4230,4232,4235],{"className":4231},[603],[569,4233],{"className":4234,"style":1679},[607],[569,4236,648],{"className":4237,"style":742},[612,613]," pro Einheit von ",[569,4240,4242,4255],{"className":4241},[572],[569,4243,4245],{"className":4244},[576],[578,4246,4247],{"xmlns":580},[582,4248,4249,4253],{},[585,4250,4251],{},[588,4252,637],{},[592,4254,637],{"encoding":594},[569,4256,4258],{"className":4257,"ariaHidden":599},[598],[569,4259,4261,4264],{"className":4260},[603],[569,4262],{"className":4263,"style":608},[607],[569,4265,637],{"className":4266},[612,613]," um ",[569,4269,4271,4285],{"className":4270},[572],[569,4272,4274],{"className":4273},[576],[578,4275,4276],{"xmlns":580},[582,4277,4278,4282],{},[585,4279,4280],{},[835,4281,4165],{},[592,4283,4284],{"encoding":594},"0{,}98",[569,4286,4288],{"className":4287,"ariaHidden":599},[598],[569,4289,4291,4294,4297,4303],{"className":4290},[603],[569,4292],{"className":4293,"style":1563},[607],[569,4295,1478],{"className":4296},[612],[569,4298,4300],{"className":4299},[612],[569,4301,643],{"className":4302},[730],[569,4304,4208],{"className":4305},[612]," steigt.",[1321,4308,4309,4310,4372],{},"Einen Wert ",[569,4311,4313,4336],{"className":4312},[572],[569,4314,4316],{"className":4315},[576],[578,4317,4318],{"xmlns":580},[582,4319,4320,4333],{},[585,4321,4322,4324,4326,4328,4331],{},[588,4323,1516],{"mathvariant":1515},[588,4325,797],{},[588,4327,1516],{"mathvariant":1515},[628,4329,4330],{},">",[835,4332,837],{},[592,4334,4335],{"encoding":594},"|r| > 1",[569,4337,4339,4363],{"className":4338,"ariaHidden":599},[598],[569,4340,4342,4345,4348,4351,4354,4357,4360],{"className":4341},[603],[569,4343],{"className":4344,"style":666},[607],[569,4346,1516],{"className":4347},[612],[569,4349,797],{"className":4350,"style":812},[612,613],[569,4352,1516],{"className":4353},[612],[569,4355],{"className":4356,"style":1015},[734],[569,4358,4330],{"className":4359},[1019],[569,4361],{"className":4362,"style":1015},[734],[569,4364,4366,4369],{"className":4365},[603],[569,4367],{"className":4368,"style":1309},[607],[569,4370,837],{"className":4371},[612]," ausrechnen. Dann liegt ein Rechenfehler vor, meist im Nenner.",{"title":4374,"searchDepth":4375,"depth":4375,"links":4376},"",2,[4377,4378,4379],{"id":562,"depth":4375,"text":563},{"id":1878,"depth":4375,"text":1879},{"id":3995,"depth":4375,"text":3996},[4381,4384,4386,4389,4392,4394],{"lhs":4382,"rhs":4383},"((1-2)*(k*2-k*11\u002F3) + (3-2)*(k*5-k*11\u002F3)) \u002F (sqrt(2) * sqrt((k*2-k*11\u002F3)^2 + (k*4-k*11\u002F3)^2 + (k*5-k*11\u002F3)^2))","3 \u002F (sqrt(2) * sqrt(14\u002F3))",{"lhs":4385,"rhs":1903},"(1-2)^2 + (2-2)^2 + (3-2)^2",{"lhs":4387,"rhs":4388},"(2-11\u002F3)^2 + (4-11\u002F3)^2 + (5-11\u002F3)^2","14\u002F3",{"lhs":4390,"rhs":4391},"round(3 \u002F (sqrt(2) * sqrt(14\u002F3)), 4)","0.9820",{"lhs":4393,"rhs":1478},"(-1)*(1-2\u002F3) + 0*(0-2\u002F3) + 1*(1-2\u002F3)",{"lhs":4395,"rhs":4396},"(1 + 0 + 1) \u002F 3","2\u002F3","n \\geq 2,\\ \\text{nicht alle } x_i \\text{ gleich},\\ \\text{nicht alle } y_i \\text{ gleich}","\u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmi>n\u003C\u002Fmi>\u003Cmo>≥\u003C\u002Fmo>\u003Cmn>2\u003C\u002Fmn>\u003Cmo separator=\"true\">,\u003C\u002Fmo>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">n \\geq 2,\u003C\u002Fannotation>\u003C\u002Fsemantics>\u003C\u002Fmath>\u003C\u002Fspan>\u003Cspan class=\"katex-html\" aria-hidden=\"true\">\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.7719em;vertical-align:-0.136em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\">n\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2778em;\">\u003C\u002Fspan>\u003Cspan class=\"mrel\">≥\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2778em;\">\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.8389em;vertical-align:-0.1944em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">2\u003C\u002Fspan>\u003Cspan class=\"mpunct\">,\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan> \u003Cspan class=\"katex\">nicht alle\u003C\u002Fspan> \u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmsub>\u003Cmi>x\u003C\u002Fmi>\u003Cmi>i\u003C\u002Fmi>\u003C\u002Fmsub>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">x_i\u003C\u002Fannotation>\u003C\u002Fsemantics>\u003C\u002Fmath>\u003C\u002Fspan>\u003Cspan class=\"katex-html\" aria-hidden=\"true\">\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.5806em;vertical-align:-0.15em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mord mathnormal\">x\u003C\u002Fspan>\u003Cspan class=\"msupsub\">\u003Cspan class=\"vlist-t vlist-t2\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.3117em;\">\u003Cspan style=\"top:-2.55em;margin-left:0em;margin-right:0.05em;\">\u003Cspan class=\"pstrut\" style=\"height:2.7em;\">\u003C\u002Fspan>\u003Cspan class=\"katex-sizing reset-size6 size3 mtight\">\u003Cspan class=\"mord mathnormal mtight\">i\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-s\">​\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.15em;\">\u003Cspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan> \u003Cspan style=\"white-space: nowrap\">\u003Cspan class=\"katex\">gleich\u003C\u002Fspan>\u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmo separator=\"true\">,\u003C\u002Fmo>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">,\u003C\u002Fannotation>\u003C\u002Fsemantics>\u003C\u002Fmath>\u003C\u002Fspan>\u003Cspan class=\"katex-html\" aria-hidden=\"true\">\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.3em;vertical-align:-0.1944em;\">\u003C\u002Fspan>\u003Cspan class=\"mpunct\">,\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan> \u003Cspan class=\"katex\">nicht alle\u003C\u002Fspan> \u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmsub>\u003Cmi>y\u003C\u002Fmi>\u003Cmi>i\u003C\u002Fmi>\u003C\u002Fmsub>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">y_i\u003C\u002Fannotation>\u003C\u002Fsemantics>\u003C\u002Fmath>\u003C\u002Fspan>\u003Cspan class=\"katex-html\" aria-hidden=\"true\">\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.625em;vertical-align:-0.1944em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mord mathnormal\" style=\"margin-right:0.0359em;\">y\u003C\u002Fspan>\u003Cspan class=\"msupsub\">\u003Cspan class=\"vlist-t vlist-t2\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.3117em;\">\u003Cspan style=\"top:-2.55em;margin-left:-0.0359em;margin-right:0.05em;\">\u003Cspan class=\"pstrut\" style=\"height:2.7em;\">\u003C\u002Fspan>\u003Cspan class=\"katex-sizing reset-size6 size3 mtight\">\u003Cspan class=\"mord mathnormal mtight\">i\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-s\">​\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.15em;\">\u003Cspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan> \u003Cspan class=\"katex\">gleich\u003C\u002Fspan>",null,"md","correlation-coefficient","r = \\frac{\\sum_{i=1}^{n} (x_i - \\bar{x})(y_i - \\bar{y})}{\\sqrt{\\sum_{i=1}^{n} (x_i - \\bar{x})^2} \\cdot \\sqrt{\\sum_{i=1}^{n} (y_i - \\bar{y})^2}}","\u003Cspan class=\"katex-display\">\u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\" display=\"block\">\u003Csemantics>\u003Cmrow>\u003Cmi>r\u003C\u002Fmi>\u003Cmo>=\u003C\u002Fmo>\u003Cmfrac>\u003Cmrow>\u003Cmunderover>\u003Cmo>∑\u003C\u002Fmo>\u003Cmrow>\u003Cmi>i\u003C\u002Fmi>\u003Cmo>=\u003C\u002Fmo>\u003Cmn>1\u003C\u002Fmn>\u003C\u002Fmrow>\u003Cmi>n\u003C\u002Fmi>\u003C\u002Fmunderover>\u003Cmo stretchy=\"false\">(\u003C\u002Fmo>\u003Cmsub>\u003Cmi>x\u003C\u002Fmi>\u003Cmi>i\u003C\u002Fmi>\u003C\u002Fmsub>\u003Cmo>−\u003C\u002Fmo>\u003Cmover accent=\"true\">\u003Cmi>x\u003C\u002Fmi>\u003Cmo>ˉ\u003C\u002Fmo>\u003C\u002Fmover>\u003Cmo stretchy=\"false\">)\u003C\u002Fmo>\u003Cmo stretchy=\"false\">(\u003C\u002Fmo>\u003Cmsub>\u003Cmi>y\u003C\u002Fmi>\u003Cmi>i\u003C\u002Fmi>\u003C\u002Fmsub>\u003Cmo>−\u003C\u002Fmo>\u003Cmover accent=\"true\">\u003Cmi>y\u003C\u002Fmi>\u003Cmo>ˉ\u003C\u002Fmo>\u003C\u002Fmover>\u003Cmo stretchy=\"false\">)\u003C\u002Fmo>\u003C\u002Fmrow>\u003Cmrow>\u003Cmsqrt>\u003Cmrow>\u003Cmunderover>\u003Cmo>∑\u003C\u002Fmo>\u003Cmrow>\u003Cmi>i\u003C\u002Fmi>\u003Cmo>=\u003C\u002Fmo>\u003Cmn>1\u003C\u002Fmn>\u003C\u002Fmrow>\u003Cmi>n\u003C\u002Fmi>\u003C\u002Fmunderover>\u003Cmo stretchy=\"false\">(\u003C\u002Fmo>\u003Cmsub>\u003Cmi>x\u003C\u002Fmi>\u003Cmi>i\u003C\u002Fmi>\u003C\u002Fmsub>\u003Cmo>−\u003C\u002Fmo>\u003Cmover accent=\"true\">\u003Cmi>x\u003C\u002Fmi>\u003Cmo>ˉ\u003C\u002Fmo>\u003C\u002Fmover>\u003Cmsup>\u003Cmo stretchy=\"false\">)\u003C\u002Fmo>\u003Cmn>2\u003C\u002Fmn>\u003C\u002Fmsup>\u003C\u002Fmrow>\u003C\u002Fmsqrt>\u003Cmo>⋅\u003C\u002Fmo>\u003Cmsqrt>\u003Cmrow>\u003Cmunderover>\u003Cmo>∑\u003C\u002Fmo>\u003Cmrow>\u003Cmi>i\u003C\u002Fmi>\u003Cmo>=\u003C\u002Fmo>\u003Cmn>1\u003C\u002Fmn>\u003C\u002Fmrow>\u003Cmi>n\u003C\u002Fmi>\u003C\u002Fmunderover>\u003Cmo stretchy=\"false\">(\u003C\u002Fmo>\u003Cmsub>\u003Cmi>y\u003C\u002Fmi>\u003Cmi>i\u003C\u002Fmi>\u003C\u002Fmsub>\u003Cmo>−\u003C\u002Fmo>\u003Cmover accent=\"true\">\u003Cmi>y\u003C\u002Fmi>\u003Cmo>ˉ\u003C\u002Fmo>\u003C\u002Fmover>\u003Cmsup>\u003Cmo stretchy=\"false\">)\u003C\u002Fmo>\u003Cmn>2\u003C\u002Fmn>\u003C\u002Fmsup>\u003C\u002Fmrow>\u003C\u002Fmsqrt>\u003C\u002Fmrow>\u003C\u002Fmfrac>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">r = \\frac{\\sum_{i=1}^{n} (x_i - \\bar{x})(y_i - \\bar{y})}{\\sqrt{\\sum_{i=1}^{n} (x_i - \\bar{x})^2} \\cdot \\sqrt{\\sum_{i=1}^{n} (y_i - \\bar{y})^2}}\u003C\u002Fannotation>\u003C\u002Fsemantics>\u003C\u002Fmath>\u003C\u002Fspan>\u003Cspan class=\"katex-html\" aria-hidden=\"true\">\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.4306em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\" style=\"margin-right:0.0278em;\">r\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2778em;\">\u003C\u002Fspan>\u003Cspan class=\"mrel\">=\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2778em;\">\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:2.624em;vertical-align:-1.13em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mopen nulldelimiter\">\u003C\u002Fspan>\u003Cspan class=\"mfrac\">\u003Cspan class=\"vlist-t vlist-t2\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:1.494em;\">\u003Cspan style=\"top:-2.1727em;\">\u003Cspan class=\"pstrut\" style=\"height:3em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mord sqrt\">\u003Cspan class=\"vlist-t vlist-t2\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.9373em;\">\u003Cspan class=\"svg-align\" style=\"top:-3.2em;\">\u003Cspan class=\"pstrut\" style=\"height:3.2em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\" style=\"padding-left:1em;\">\u003Cspan class=\"mop\">\u003Cspan class=\"mop op-symbol small-op\" style=\"position:relative;top:0em;\">∑\u003C\u002Fspan>\u003Cspan class=\"msupsub\">\u003Cspan class=\"vlist-t vlist-t2\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.8043em;\">\u003Cspan style=\"top:-2.4003em;margin-left:0em;margin-right:0.05em;\">\u003Cspan class=\"pstrut\" style=\"height:2.7em;\">\u003C\u002Fspan>\u003Cspan class=\"katex-sizing reset-size6 size3 mtight\">\u003Cspan class=\"mord mtight\">\u003Cspan class=\"mord mathnormal mtight\">i\u003C\u002Fspan>\u003Cspan class=\"mrel mtight\">=\u003C\u002Fspan>\u003Cspan class=\"mord mtight\">1\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan style=\"top:-3.2029em;margin-right:0.05em;\">\u003Cspan class=\"pstrut\" style=\"height:2.7em;\">\u003C\u002Fspan>\u003Cspan class=\"katex-sizing reset-size6 size3 mtight\">\u003Cspan class=\"mord mtight\">\u003Cspan class=\"mord mathnormal mtight\">n\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-s\">​\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.2997em;\">\u003Cspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mopen\">(\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mord mathnormal\">x\u003C\u002Fspan>\u003Cspan class=\"msupsub\">\u003Cspan class=\"vlist-t vlist-t2\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.3117em;\">\u003Cspan style=\"top:-2.55em;margin-left:0em;margin-right:0.05em;\">\u003Cspan class=\"pstrut\" style=\"height:2.7em;\">\u003C\u002Fspan>\u003Cspan class=\"katex-sizing reset-size6 size3 mtight\">\u003Cspan class=\"mord mathnormal mtight\">i\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-s\">​\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.15em;\">\u003Cspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2222em;\">\u003C\u002Fspan>\u003Cspan class=\"mbin\">−\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2222em;\">\u003C\u002Fspan>\u003Cspan class=\"mord katex-accent\">\u003Cspan class=\"vlist-t\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.5678em;\">\u003Cspan style=\"top:-3em;\">\u003Cspan class=\"pstrut\" style=\"height:3em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\">x\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan style=\"top:-3em;\">\u003Cspan class=\"pstrut\" style=\"height:3em;\">\u003C\u002Fspan>\u003Cspan class=\"accent-body\" style=\"left:-0.2222em;\">\u003Cspan class=\"mord\">ˉ\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mclose\">\u003Cspan class=\"mclose\">)\u003C\u002Fspan>\u003Cspan class=\"msupsub\">\u003Cspan class=\"vlist-t\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.7401em;\">\u003Cspan style=\"top:-2.989em;margin-right:0.05em;\">\u003Cspan class=\"pstrut\" style=\"height:2.7em;\">\u003C\u002Fspan>\u003Cspan class=\"katex-sizing reset-size6 size3 mtight\">\u003Cspan class=\"mord mtight\">2\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan style=\"top:-2.8973em;\">\u003Cspan class=\"pstrut\" style=\"height:3.2em;\">\u003C\u002Fspan>\u003Cspan class=\"hide-tail\" style=\"min-width:1.02em;height:1.28em;\">\u003Csvg xmlns=\"http:\u002F\u002Fwww.w3.org\u002F2000\u002Fsvg\" width=\"400em\" height=\"1.28em\" viewBox=\"0 0 400000 1296\" preserveAspectRatio=\"xMinYMin slice\">\u003Cpath d=\"M263,681c0.7,0,18,39.7,52,119\nc34,79.3,68.167,158.7,102.5,238c34.3,79.3,51.8,119.3,52.5,120\nc340,-704.7,510.7,-1060.3,512,-1067\nl0 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class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.9373em;\">\u003Cspan class=\"svg-align\" style=\"top:-3.2em;\">\u003Cspan class=\"pstrut\" style=\"height:3.2em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\" style=\"padding-left:1em;\">\u003Cspan class=\"mop\">\u003Cspan class=\"mop op-symbol small-op\" style=\"position:relative;top:0em;\">∑\u003C\u002Fspan>\u003Cspan class=\"msupsub\">\u003Cspan class=\"vlist-t vlist-t2\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.8043em;\">\u003Cspan style=\"top:-2.4003em;margin-left:0em;margin-right:0.05em;\">\u003Cspan class=\"pstrut\" style=\"height:2.7em;\">\u003C\u002Fspan>\u003Cspan class=\"katex-sizing reset-size6 size3 mtight\">\u003Cspan class=\"mord mtight\">\u003Cspan class=\"mord mathnormal mtight\">i\u003C\u002Fspan>\u003Cspan class=\"mrel mtight\">=\u003C\u002Fspan>\u003Cspan class=\"mord mtight\">1\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan style=\"top:-3.2029em;margin-right:0.05em;\">\u003Cspan class=\"pstrut\" style=\"height:2.7em;\">\u003C\u002Fspan>\u003Cspan class=\"katex-sizing reset-size6 size3 mtight\">\u003Cspan class=\"mord mtight\">\u003Cspan class=\"mord mathnormal mtight\">n\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-s\">​\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.2997em;\">\u003Cspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mopen\">(\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mord mathnormal\" style=\"margin-right:0.0359em;\">y\u003C\u002Fspan>\u003Cspan class=\"msupsub\">\u003Cspan class=\"vlist-t vlist-t2\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.3117em;\">\u003Cspan style=\"top:-2.55em;margin-left:-0.0359em;margin-right:0.05em;\">\u003Cspan class=\"pstrut\" style=\"height:2.7em;\">\u003C\u002Fspan>\u003Cspan class=\"katex-sizing reset-size6 size3 mtight\">\u003Cspan class=\"mord mathnormal mtight\">i\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-s\">​\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.15em;\">\u003Cspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2222em;\">\u003C\u002Fspan>\u003Cspan class=\"mbin\">−\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2222em;\">\u003C\u002Fspan>\u003Cspan class=\"mord katex-accent\">\u003Cspan class=\"vlist-t vlist-t2\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.5678em;\">\u003Cspan style=\"top:-3em;\">\u003Cspan class=\"pstrut\" style=\"height:3em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\" style=\"margin-right:0.0359em;\">y\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan style=\"top:-3em;\">\u003Cspan class=\"pstrut\" style=\"height:3em;\">\u003C\u002Fspan>\u003Cspan class=\"accent-body\" style=\"left:-0.1944em;\">\u003Cspan class=\"mord\">ˉ\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-s\">​\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.1944em;\">\u003Cspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mclose\">\u003Cspan class=\"mclose\">)\u003C\u002Fspan>\u003Cspan class=\"msupsub\">\u003Cspan class=\"vlist-t\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.7401em;\">\u003Cspan style=\"top:-2.989em;margin-right:0.05em;\">\u003Cspan class=\"pstrut\" style=\"height:2.7em;\">\u003C\u002Fspan>\u003Cspan class=\"katex-sizing reset-size6 size3 mtight\">\u003Cspan class=\"mord mtight\">2\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan style=\"top:-2.8973em;\">\u003Cspan class=\"pstrut\" style=\"height:3.2em;\">\u003C\u002Fspan>\u003Cspan class=\"hide-tail\" style=\"min-width:1.02em;height:1.28em;\">\u003Csvg xmlns=\"http:\u002F\u002Fwww.w3.org\u002F2000\u002Fsvg\" width=\"400em\" height=\"1.28em\" viewBox=\"0 0 400000 1296\" preserveAspectRatio=\"xMinYMin slice\">\u003Cpath d=\"M263,681c0.7,0,18,39.7,52,119\nc34,79.3,68.167,158.7,102.5,238c34.3,79.3,51.8,119.3,52.5,120\nc340,-704.7,510.7,-1060.3,512,-1067\nl0 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style=\"height:3em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mop\">\u003Cspan class=\"mop op-symbol small-op\" style=\"position:relative;top:0em;\">∑\u003C\u002Fspan>\u003Cspan class=\"msupsub\">\u003Cspan class=\"vlist-t vlist-t2\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.8043em;\">\u003Cspan style=\"top:-2.4003em;margin-left:0em;margin-right:0.05em;\">\u003Cspan class=\"pstrut\" style=\"height:2.7em;\">\u003C\u002Fspan>\u003Cspan class=\"katex-sizing reset-size6 size3 mtight\">\u003Cspan class=\"mord mtight\">\u003Cspan class=\"mord mathnormal mtight\">i\u003C\u002Fspan>\u003Cspan class=\"mrel mtight\">=\u003C\u002Fspan>\u003Cspan class=\"mord mtight\">1\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan style=\"top:-3.2029em;margin-right:0.05em;\">\u003Cspan class=\"pstrut\" style=\"height:2.7em;\">\u003C\u002Fspan>\u003Cspan class=\"katex-sizing reset-size6 size3 mtight\">\u003Cspan class=\"mord 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