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\\operatorname{Var}(X)",[579,1115,1117,1156],{"className":1116,"ariaHidden":615},[638],[579,1118,1120,1123,1129,1132,1135,1138,1141,1144,1147,1150,1153],{"className":1119},[642],[579,1121],{"className":1122,"style":647},[646],[579,1124,1126],{"className":1125},[651],[579,1127,601],{"className":1128,"style":657},[655,656],[579,1130,609],{"className":1131},[661],[579,1133,612],{"className":1134,"style":666},[655,665],[579,1136,616],{"className":1137},[670],[579,1139],{"className":1140,"style":675},[674],[579,1142,612],{"className":1143,"style":666},[655,665],[579,1145,622],{"className":1146},[683],[579,1148],{"className":1149,"style":687},[674],[579,1151,941],{"className":1152},[691],[579,1154],{"className":1155,"style":687},[674],[579,1157,1159,1162,1168,1171,1174],{"className":1158},[642],[579,1160],{"className":1161,"style":647},[646],[579,1163,1165],{"className":1164},[651],[579,1166,1102],{"className":1167},[655,656],[579,1169,609],{"className":1170},[661],[579,1172,612],{"className":1173,"style":666},[655,665],[579,1175,622],{"className":1176},[683],[576,1178,1179],{},[579,1180,1182,1249],{"className":1181},[582],[579,1183,1185],{"className":1184},[586],[588,1186,1187],{"xmlns":590},[592,1188,1189,1246],{},[595,1190,1191,1193,1195,1197,1200,1202,1205,1208,1210,1213,1215,1217,1220,1222,1224,1226,1228,1232,1234,1236,1238,1240,1242,1244],{},[598,1192,601],{"mathvariant":600},[603,1194,605],{},[603,1196,609],{"stretchy":608},[598,1198,1199],{},"a",[598,1201,612],{},[603,1203,1204],{},"+",[598,1206,1207],{},"b",[603,1209,616],{"separator":615},[598,1211,1212],{},"c",[598,1214,619],{},[603,1216,1204],{},[598,1218,1219],{},"d",[603,1221,622],{"stretchy":608},[603,1223,941],{},[598,1225,1199],{},[598,1227,1212],{},[1229,1230,1231],"mtext",{}," ",[598,1233,601],{"mathvariant":600},[603,1235,605],{},[603,1237,609],{"stretchy":608},[598,1239,612],{},[603,1241,616],{"separator":615},[598,1243,619],{},[603,1245,622],{"stretchy":608},[631,1247,1248],{"encoding":633},"\\operatorname{Cov}(aX + b, cY + d) = ac\\,\\operatorname{Cov}(X, Y)",[579,1250,1252,1283,1314,1335],{"className":1251,"ariaHidden":615},[638],[579,1253,1255,1258,1264,1267,1270,1273,1276,1280],{"className":1254},[642],[579,1256],{"className":1257,"style":647},[646],[579,1259,1261],{"className":1260},[651],[579,1262,601],{"className":1263,"style":657},[655,656],[579,1265,609],{"className":1266},[661],[579,1268,1199],{"className":1269},[655,665],[579,1271,612],{"className":1272,"style":666},[655,665],[579,1274],{"className":1275,"style":679},[674],[579,1277,1204],{"className":1278},[1279],"mbin",[579,1281],{"className":1282,"style":679},[674],[579,1284,1286,1290,1293,1296,1299,1302,1305,1308,1311],{"className":1285},[642],[579,1287],{"className":1288,"style":1289},[646],"height:0.8889em;vertical-align:-0.1944em;",[579,1291,1207],{"className":1292},[655,665],[579,1294,616],{"className":1295},[670],[579,1297],{"className":1298,"style":675},[674],[579,1300,1212],{"className":1301},[655,665],[579,1303,619],{"className":1304,"style":679},[655,665],[579,1306],{"className":1307,"style":679},[674],[579,1309,1204],{"className":1310},[1279],[579,1312],{"className":1313,"style":679},[674],[579,1315,1317,1320,1323,1326,1329,1332],{"className":1316},[642],[579,1318],{"className":1319,"style":647},[646],[579,1321,1219],{"className":1322},[655,665],[579,1324,622],{"className":1325},[683],[579,1327],{"className":1328,"style":687},[674],[579,1330,941],{"className":1331},[691],[579,1333],{"className":1334,"style":687},[674],[579,1336,1338,1341,1344,1347,1350,1353,1359,1362,1365,1368,1371,1374],{"className":1337},[642],[579,1339],{"className":1340,"style":647},[646],[579,1342,1199],{"className":1343},[655,665],[579,1345,1212],{"className":1346},[655,665],[579,1348],{"className":1349,"style":675},[674],[579,1351],{"className":1352,"style":675},[674],[579,1354,1356],{"className":1355},[651],[579,1357,601],{"className":1358,"style":657},[655,656],[579,1360,609],{"className":1361},[661],[579,1363,612],{"className":1364,"style":666},[655,665],[579,1366,616],{"className":1367},[670],[579,1369],{"className":1370,"style":675},[674],[579,1372,619],{"className":1373,"style":679},[655,665],[579,1375,622],{"className":1376},[683],[576,1378,1379],{},[579,1380,1382,1451],{"className":1381},[582],[579,1383,1385],{"className":1384},[586],[588,1386,1387],{"xmlns":590},[592,1388,1389,1448],{},[595,1390,1391,1393,1395,1397,1399,1401,1403,1405,1407,1409,1411,1413,1415,1417,1419,1421,1423,1425,1427,1429,1431,1434,1436,1438,1440,1442,1444,1446],{},[598,1392,1102],{"mathvariant":600},[603,1394,605],{},[603,1396,609],{"stretchy":608},[598,1398,612],{},[603,1400,1204],{},[598,1402,619],{},[603,1404,622],{"stretchy":608},[603,1406,941],{},[598,1408,1102],{"mathvariant":600},[603,1410,605],{},[603,1412,609],{"stretchy":608},[598,1414,612],{},[603,1416,622],{"stretchy":608},[603,1418,1204],{},[598,1420,1102],{"mathvariant":600},[603,1422,605],{},[603,1424,609],{"stretchy":608},[598,1426,619],{},[603,1428,622],{"stretchy":608},[603,1430,1204],{},[627,1432,1433],{},"2",[598,1435,601],{"mathvariant":600},[603,1437,605],{},[603,1439,609],{"stretchy":608},[598,1441,612],{},[603,1443,616],{"separator":615},[598,1445,619],{},[603,1447,622],{"stretchy":608},[631,1449,1450],{"encoding":633},"\\operatorname{Var}(X + Y) = \\operatorname{Var}(X) + \\operatorname{Var}(Y) + 2\\operatorname{Cov}(X, Y)",[579,1452,1454,1481,1502,1532,1562],{"className":1453,"ariaHidden":615},[638],[579,1455,1457,1460,1466,1469,1472,1475,1478],{"className":1456},[642],[579,1458],{"className":1459,"style":647},[646],[579,1461,1463],{"className":1462},[651],[579,1464,1102],{"className":1465},[655,656],[579,1467,609],{"className":1468},[661],[579,1470,612],{"className":1471,"style":666},[655,665],[579,1473],{"className":1474,"style":679},[674],[579,1476,1204],{"className":1477},[1279],[579,1479],{"className":1480,"style":679},[674],[579,1482,1484,1487,1490,1493,1496,1499],{"className":1483},[642],[579,1485],{"className":1486,"style":647},[646],[579,1488,619],{"className":1489,"style":679},[655,665],[579,1491,622],{"className":1492},[683],[579,1494],{"className":1495,"style":687},[674],[579,1497,941],{"className":1498},[691],[579,1500],{"className":1501,"style":687},[674],[579,1503,1505,1508,1514,1517,1520,1523,1526,1529],{"className":1504},[642],[579,1506],{"className":1507,"style":647},[646],[579,1509,1511],{"className":1510},[651],[579,1512,1102],{"className":1513},[655,656],[579,1515,609],{"className":1516},[661],[579,1518,612],{"className":1519,"style":666},[655,665],[579,1521,622],{"className":1522},[683],[579,1524],{"className":1525,"style":679},[674],[579,1527,1204],{"className":1528},[1279],[579,1530],{"className":1531,"style":679},[674],[579,1533,1535,1538,1544,1547,1550,1553,1556,1559],{"className":1534},[642],[579,1536],{"className":1537,"style":647},[646],[579,1539,1541],{"className":1540},[651],[579,1542,1102],{"className":1543},[655,656],[579,1545,609],{"className":1546},[661],[579,1548,619],{"className":1549,"style":679},[655,665],[579,1551,622],{"className":1552},[683],[579,1554],{"className":1555,"style":679},[674],[579,1557,1204],{"className":1558},[1279],[579,1560],{"className":1561,"style":679},[674],[579,1563,1565,1568,1571,1574,1580,1583,1586,1589,1592,1595],{"className":1564},[642],[579,1566],{"className":1567,"style":647},[646],[579,1569,1433],{"className":1570},[655],[579,1572],{"className":1573,"style":675},[674],[579,1575,1577],{"className":1576},[651],[579,1578,601],{"className":1579,"style":657},[655,656],[579,1581,609],{"className":1582},[661],[579,1584,612],{"className":1585,"style":666},[655,665],[579,1587,616],{"className":1588},[670],[579,1590],{"className":1591,"style":675},[674],[579,1593,619],{"className":1594,"style":679},[655,665],[579,1596,622],{"className":1597},[683],[565,1599,1600,1601,1684],{},"Aus Unabhängigkeit folgt ",[579,1602,1604,1633],{"className":1603},[582],[579,1605,1607],{"className":1606},[586],[588,1608,1609],{"xmlns":590},[592,1610,1611,1631],{},[595,1612,1613,1615,1617,1619,1621,1623,1625,1627,1629],{},[598,1614,601],{"mathvariant":600},[603,1616,605],{},[603,1618,609],{"stretchy":608},[598,1620,612],{},[603,1622,616],{"separator":615},[598,1624,619],{},[603,1626,622],{"stretchy":608},[603,1628,941],{},[627,1630,629],{},[631,1632,946],{"encoding":633},[579,1634,1636,1675],{"className":1635,"ariaHidden":615},[638],[579,1637,1639,1642,1648,1651,1654,1657,1660,1663,1666,1669,1672],{"className":1638},[642],[579,1640],{"className":1641,"style":647},[646],[579,1643,1645],{"className":1644},[651],[579,1646,601],{"className":1647,"style":657},[655,656],[579,1649,609],{"className":1650},[661],[579,1652,612],{"className":1653,"style":666},[655,665],[579,1655,616],{"className":1656},[670],[579,1658],{"className":1659,"style":675},[674],[579,1661,619],{"className":1662,"style":679},[655,665],[579,1664,622],{"className":1665},[683],[579,1667],{"className":1668,"style":687},[674],[579,1670,941],{"className":1671},[691],[579,1673],{"className":1674,"style":687},[674],[579,1676,1678,1681],{"className":1677},[642],[579,1679],{"className":1680,"style":701},[646],[579,1682,629],{"className":1683},[655],", die Umkehrung gilt nicht.",[565,1686,1687,1688,1844,1845,1847,1848,2378,2379,1060],{},"Für Datenpaare ",[579,1689,1691,1725],{"className":1690},[582],[579,1692,1694],{"className":1693},[586],[588,1695,1696],{"xmlns":590},[592,1697,1698,1722],{},[595,1699,1700,1702,1711,1713,1720],{},[603,1701,609],{"stretchy":608},[1703,1704,1705,1708],"msub",{},[598,1706,1707],{},"x",[598,1709,1710],{},"i",[603,1712,616],{"separator":615},[1703,1714,1715,1718],{},[598,1716,1717],{},"y",[598,1719,1710],{},[603,1721,622],{"stretchy":608},[631,1723,1724],{"encoding":633},"(x_i, y_i)",[579,1726,1728],{"className":1727,"ariaHidden":615},[638],[579,1729,1731,1734,1737,1793,1796,1799,1841],{"className":1730},[642],[579,1732],{"className":1733,"style":647},[646],[579,1735,609],{"className":1736},[661],[579,1738,1740,1743],{"className":1739},[655],[579,1741,1707],{"className":1742},[655,665],[579,1744,1747],{"className":1745},[1746],"msupsub",[579,1748,1752,1784],{"className":1749},[1750,1751],"vlist-t","vlist-t2",[579,1753,1756,1779],{"className":1754},[1755],"vlist-r",[579,1757,1761],{"className":1758,"style":1760},[1759],"vlist","height:0.3117em;",[579,1762,1764,1769],{"style":1763},"top:-2.55em;margin-left:0em;margin-right:0.05em;",[579,1765],{"className":1766,"style":1768},[1767],"pstrut","height:2.7em;",[579,1770,1776],{"className":1771},[1772,1773,1774,1775],"sizing","reset-size6","size3","mtight",[579,1777,1710],{"className":1778},[655,665,1775],[579,1780,1783],{"className":1781},[1782],"vlist-s","​",[579,1785,1787],{"className":1786},[1755],[579,1788,1791],{"className":1789,"style":1790},[1759],"height:0.15em;",[579,1792],{},[579,1794,616],{"className":1795},[670],[579,1797],{"className":1798,"style":675},[674],[579,1800,1802,1806],{"className":1801},[655],[579,1803,1717],{"className":1804,"style":1805},[655,665],"margin-right:0.0359em;",[579,1807,1809],{"className":1808},[1746],[579,1810,1812,1833],{"className":1811},[1750,1751],[579,1813,1815,1830],{"className":1814},[1755],[579,1816,1818],{"className":1817,"style":1760},[1759],[579,1819,1821,1824],{"style":1820},"top:-2.55em;margin-left:-0.0359em;margin-right:0.05em;",[579,1822],{"className":1823,"style":1768},[1767],[579,1825,1827],{"className":1826},[1772,1773,1774,1775],[579,1828,1710],{"className":1829},[655,665,1775],[579,1831,1783],{"className":1832},[1782],[579,1834,1836],{"className":1835},[1755],[579,1837,1839],{"className":1838,"style":1790},[1759],[579,1840],{},[579,1842,622],{"className":1843},[683]," ist die ",[569,1846,553],{}," 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= \\frac{1}{n-1}\\sum_{i=1}^{n} (x_i - \\bar{x})(y_i - 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manche Bücher teilen durch ",[579,2380,2382,2395],{"className":2381},[582],[579,2383,2385],{"className":2384},[586],[588,2386,2387],{"xmlns":590},[592,2388,2389,2393],{},[595,2390,2391],{},[598,2392,1883],{},[631,2394,1883],{"encoding":633},[579,2396,2398],{"className":2397,"ariaHidden":615},[638],[579,2399,2401,2405],{"className":2400},[642],[579,2402],{"className":2403,"style":2404},[646],"height:0.4306em;",[579,2406,1883],{"className":2407},[655,665],[565,2409,2410],{},"Der Betrag der Kovarianz hängt von den Einheiten ab. Über die Stärke des Zusammenhangs sagt er deshalb wenig; dafür normiert man zum Korrelationskoeffizienten.",[560,2412,2414],{"id":2413},"beispiele","Beispiele",[565,2416,2417,1027,2445,2473,2474,1027,2502,2530,2531,2624,2625,2624,2714,2624,2802,2890,2891,1027,3007,3163],{},[579,2418,2420,2433],{"className":2419},[582],[579,2421,2423],{"className":2422},[586],[588,2424,2425],{"xmlns":590},[592,2426,2427,2431],{},[595,2428,2429],{},[598,2430,612],{},[631,2432,612],{"encoding":633},[579,2434,2436],{"className":2435,"ariaHidden":615},[638],[579,2437,2439,2442],{"className":2438},[642],[579,2440],{"className":2441,"style":731},[646],[579,2443,612],{"className":2444,"style":666},[655,665],[579,2446,2448,2461],{"className":2447},[582],[579,2449,2451],{"className":2450},[586],[588,2452,2453],{"xmlns":590},[592,2454,2455,2459],{},[595,2456,2457],{},[598,2458,619],{},[631,2460,619],{"encoding":633},[579,2462,2464],{"className":2463,"ariaHidden":615},[638],[579,2465,2467,2470],{"className":2466},[642],[579,2468],{"className":2469,"style":731},[646],[579,2471,619],{"className":2472,"style":679},[655,665]," nehmen die Werte ",[579,2475,2477,2490],{"className":2476},[582],[579,2478,2480],{"className":2479},[586],[588,2481,2482],{"xmlns":590},[592,2483,2484,2488],{},[595,2485,2486],{},[627,2487,629],{},[631,2489,629],{"encoding":633},[579,2491,2493],{"className":2492,"ariaHidden":615},[638],[579,2494,2496,2499],{"className":2495},[642],[579,2497],{"className":2498,"style":701},[646],[579,2500,629],{"className":2501},[655],[579,2503,2505,2518],{"className":2504},[582],[579,2506,2508],{"className":2507},[586],[588,2509,2510],{"xmlns":590},[592,2511,2512,2516],{},[595,2513,2514],{},[627,2515,1878],{},[631,2517,1878],{"encoding":633},[579,2519,2521],{"className":2520,"ariaHidden":615},[638],[579,2522,2524,2527],{"className":2523},[642],[579,2525],{"className":2526,"style":701},[646],[579,2528,1878],{"className":2529},[655]," an mit ",[579,2532,2534,2564],{"className":2533},[582],[579,2535,2537],{"className":2536},[586],[588,2538,2539],{"xmlns":590},[592,2540,2541,2561],{},[595,2542,2543,2546,2548,2550,2552,2554,2556,2558],{},[598,2544,2545],{},"P",[603,2547,609],{"stretchy":608},[627,2549,629],{},[603,2551,616],{"separator":615},[627,2553,629],{},[603,2555,622],{"stretchy":608},[603,2557,941],{},[627,2559,2560],{},"0,4",[631,2562,2563],{"encoding":633},"P(0,0) = 0{,}4",[579,2565,2567,2604],{"className":2566,"ariaHidden":615},[638],[579,2568,2570,2573,2577,2580,2583,2586,2589,2592,2595,2598,2601],{"className":2569},[642],[579,2571],{"className":2572,"style":647},[646],[579,2574,2545],{"className":2575,"style":2576},[655,665],"margin-right:0.1389em;",[579,2578,609],{"className":2579},[661],[579,2581,629],{"className":2582},[655],[579,2584,616],{"className":2585},[670],[579,2587],{"className":2588,"style":675},[674],[579,2590,629],{"className":2591},[655],[579,2593,622],{"className":2594},[683],[579,2596],{"className":2597,"style":687},[674],[579,2599,941],{"className":2600},[691],[579,2602],{"className":2603,"style":687},[674],[579,2605,2607,2611,2614,2620],{"className":2606},[642],[579,2608],{"className":2609,"style":2610},[646],"height:0.8389em;vertical-align:-0.1944em;",[579,2612,629],{"className":2613},[655],[579,2615,2617],{"className":2616},[655],[579,2618,616],{"className":2619},[670],[579,2621,2623],{"className":2622},[655],"4",", ",[579,2626,2628,2657],{"className":2627},[582],[579,2629,2631],{"className":2630},[586],[588,2632,2633],{"xmlns":590},[592,2634,2635,2654],{},[595,2636,2637,2639,2641,2643,2645,2647,2649,2651],{},[598,2638,2545],{},[603,2640,609],{"stretchy":608},[627,2642,629],{},[603,2644,616],{"separator":615},[627,2646,1878],{},[603,2648,622],{"stretchy":608},[603,2650,941],{},[627,2652,2653],{},"0,1",[631,2655,2656],{"encoding":633},"P(0,1) = 0{,}1",[579,2658,2660,2696],{"className":2659,"ariaHidden":615},[638],[579,2661,2663,2666,2669,2672,2675,2678,2681,2684,2687,2690,2693],{"className":2662},[642],[579,2664],{"className":2665,"style":647},[646],[579,2667,2545],{"className":2668,"style":2576},[655,665],[579,2670,609],{"className":2671},[661],[579,2673,629],{"className":2674},[655],[579,2676,616],{"className":2677},[670],[579,2679],{"className":2680,"style":675},[674],[579,2682,1878],{"className":2683},[655],[579,2685,622],{"className":2686},[683],[579,2688],{"className":2689,"style":687},[674],[579,2691,941],{"className":2692},[691],[579,2694],{"className":2695,"style":687},[674],[579,2697,2699,2702,2705,2711],{"className":2698},[642],[579,2700],{"className":2701,"style":2610},[646],[579,2703,629],{"className":2704},[655],[579,2706,2708],{"className":2707},[655],[579,2709,616],{"className":2710},[670],[579,2712,1878],{"className":2713},[655],[579,2715,2717,2745],{"className":2716},[582],[579,2718,2720],{"className":2719},[586],[588,2721,2722],{"xmlns":590},[592,2723,2724,2742],{},[595,2725,2726,2728,2730,2732,2734,2736,2738,2740],{},[598,2727,2545],{},[603,2729,609],{"stretchy":608},[627,2731,1878],{},[603,2733,616],{"separator":615},[627,2735,629],{},[603,2737,622],{"stretchy":608},[603,2739,941],{},[627,2741,2653],{},[631,2743,2744],{"encoding":633},"P(1,0) = 0{,}1",[579,2746,2748,2784],{"className":2747,"ariaHidden":615},[638],[579,2749,2751,2754,2757,2760,2763,2766,2769,2772,2775,2778,2781],{"className":2750},[642],[579,2752],{"className":2753,"style":647},[646],[579,2755,2545],{"className":2756,"style":2576},[655,665],[579,2758,609],{"className":2759},[661],[579,2761,1878],{"className":2762},[655],[579,2764,616],{"className":2765},[670],[579,2767],{"className":2768,"style":675},[674],[579,2770,629],{"className":2771},[655],[579,2773,622],{"className":2774},[683],[579,2776],{"className":2777,"style":687},[674],[579,2779,941],{"className":2780},[691],[579,2782],{"className":2783,"style":687},[674],[579,2785,2787,2790,2793,2799],{"className":2786},[642],[579,2788],{"className":2789,"style":2610},[646],[579,2791,629],{"className":2792},[655],[579,2794,2796],{"className":2795},[655],[579,2797,616],{"className":2798},[670],[579,2800,1878],{"className":2801},[655],[579,2803,2805,2833],{"className":2804},[582],[579,2806,2808],{"className":2807},[586],[588,2809,2810],{"xmlns":590},[592,2811,2812,2830],{},[595,2813,2814,2816,2818,2820,2822,2824,2826,2828],{},[598,2815,2545],{},[603,2817,609],{"stretchy":608},[627,2819,1878],{},[603,2821,616],{"separator":615},[627,2823,1878],{},[603,2825,622],{"stretchy":608},[603,2827,941],{},[627,2829,2560],{},[631,2831,2832],{"encoding":633},"P(1,1) = 0{,}4",[579,2834,2836,2872],{"className":2835,"ariaHidden":615},[638],[579,2837,2839,2842,2845,2848,2851,2854,2857,2860,2863,2866,2869],{"className":2838},[642],[579,2840],{"className":2841,"style":647},[646],[579,2843,2545],{"className":2844,"style":2576},[655,665],[579,2846,609],{"className":2847},[661],[579,2849,1878],{"className":2850},[655],[579,2852,616],{"className":2853},[670],[579,2855],{"className":2856,"style":675},[674],[579,2858,1878],{"className":2859},[655],[579,2861,622],{"className":2862},[683],[579,2864],{"className":2865,"style":687},[674],[579,2867,941],{"className":2868},[691],[579,2870],{"className":2871,"style":687},[674],[579,2873,2875,2878,2881,2887],{"className":2874},[642],[579,2876],{"className":2877,"style":2610},[646],[579,2879,629],{"className":2880},[655],[579,2882,2884],{"className":2883},[655],[579,2885,616],{"className":2886},[670],[579,2888,2623],{"className":2889},[655],". Dann ist ",[579,2892,2894,2930],{"className":2893},[582],[579,2895,2897],{"className":2896},[586],[588,2898,2899],{"xmlns":590},[592,2900,2901,2927],{},[595,2902,2903,2906,2908,2910,2912,2914,2916,2918,2920,2922,2924],{},[598,2904,2905],{},"E",[603,2907,609],{"stretchy":608},[598,2909,612],{},[603,2911,622],{"stretchy":608},[603,2913,941],{},[598,2915,2905],{},[603,2917,609],{"stretchy":608},[598,2919,619],{},[603,2921,622],{"stretchy":608},[603,2923,941],{},[627,2925,2926],{},"0,5",[631,2928,2929],{"encoding":633},"E(X) = E(Y) = 0{,}5",[579,2931,2933,2961,2988],{"className":2932,"ariaHidden":615},[638],[579,2934,2936,2939,2943,2946,2949,2952,2955,2958],{"className":2935},[642],[579,2937],{"className":2938,"style":647},[646],[579,2940,2905],{"className":2941,"style":2942},[655,665],"margin-right:0.0576em;",[579,2944,609],{"className":2945},[661],[579,2947,612],{"className":2948,"style":666},[655,665],[579,2950,622],{"className":2951},[683],[579,2953],{"className":2954,"style":687},[674],[579,2956,941],{"className":2957},[691],[579,2959],{"className":2960,"style":687},[674],[579,2962,2964,2967,2970,2973,2976,2979,2982,2985],{"className":2963},[642],[579,2965],{"className":2966,"style":647},[646],[579,2968,2905],{"className":2969,"style":2942},[655,665],[579,2971,609],{"className":2972},[661],[579,2974,619],{"className":2975,"style":679},[655,665],[579,2977,622],{"className":2978},[683],[579,2980],{"className":2981,"style":687},[674],[579,2983,941],{"className":2984},[691],[579,2986],{"className":2987,"style":687},[674],[579,2989,2991,2994,2997,3003],{"className":2990},[642],[579,2992],{"className":2993,"style":2610},[646],[579,2995,629],{"className":2996},[655],[579,2998,3000],{"className":2999},[655],[579,3001,616],{"className":3002},[670],[579,3004,3006],{"className":3005},[655],"5",[579,3008,3010,3049],{"className":3009},[582],[579,3011,3013],{"className":3012},[586],[588,3014,3015],{"xmlns":590},[592,3016,3017,3046],{},[595,3018,3019,3021,3023,3025,3027,3029,3031,3033,3036,3038,3040,3042,3044],{},[598,3020,2905],{},[603,3022,609],{"stretchy":608},[598,3024,612],{},[598,3026,619],{},[603,3028,622],{"stretchy":608},[603,3030,941],{},[627,3032,1878],{},[603,3034,3035],{},"⋅",[627,3037,1878],{},[603,3039,3035],{},[627,3041,2560],{},[603,3043,941],{},[627,3045,2560],{},[631,3047,3048],{"encoding":633},"E(XY) = 1 \\cdot 1 \\cdot 0{,}4 = 0{,}4",[579,3050,3052,3082,3100,3118,3145],{"className":3051,"ariaHidden":615},[638],[579,3053,3055,3058,3061,3064,3067,3070,3073,3076,3079],{"className":3054},[642],[579,3056],{"className":3057,"style":647},[646],[579,3059,2905],{"className":3060,"style":2942},[655,665],[579,3062,609],{"className":3063},[661],[579,3065,612],{"className":3066,"style":666},[655,665],[579,3068,619],{"className":3069,"style":679},[655,665],[579,3071,622],{"className":3072},[683],[579,3074],{"className":3075,"style":687},[674],[579,3077,941],{"className":3078},[691],[579,3080],{"className":3081,"style":687},[674],[579,3083,3085,3088,3091,3094,3097],{"className":3084},[642],[579,3086],{"className":3087,"style":701},[646],[579,3089,1878],{"className":3090},[655],[579,3092],{"className":3093,"style":679},[674],[579,3095,3035],{"className":3096},[1279],[579,3098],{"className":3099,"style":679},[674],[579,3101,3103,3106,3109,3112,3115],{"className":3102},[642],[579,3104],{"className":3105,"style":701},[646],[579,3107,1878],{"className":3108},[655],[579,3110],{"className":3111,"style":679},[674],[579,3113,3035],{"className":3114},[1279],[579,3116],{"className":3117,"style":679},[674],[579,3119,3121,3124,3127,3133,3136,3139,3142],{"className":3120},[642],[579,3122],{"className":3123,"style":2610},[646],[579,3125,629],{"className":3126},[655],[579,3128,3130],{"className":3129},[655],[579,3131,616],{"className":3132},[670],[579,3134,2623],{"className":3135},[655],[579,3137],{"className":3138,"style":687},[674],[579,3140,941],{"className":3141},[691],[579,3143],{"className":3144,"style":687},[674],[579,3146,3148,3151,3154,3160],{"className":3147},[642],[579,3149],{"className":3150,"style":2610},[646],[579,3152,629],{"className":3153},[655],[579,3155,3157],{"className":3156},[655],[579,3158,616],{"className":3159},[670],[579,3161,2623],{"className":3162},[655],":",[579,3165,3168],{"className":3166},[3167],"katex-display",[579,3169,3171,3215],{"className":3170},[582],[579,3172,3174],{"className":3173},[586],[588,3175,3177],{"xmlns":590,"display":3176},"block",[592,3178,3179,3212],{},[595,3180,3181,3183,3185,3187,3189,3191,3193,3195,3197,3199,3201,3203,3205,3207,3209],{},[598,3182,601],{"mathvariant":600},[603,3184,605],{},[603,3186,609],{"stretchy":608},[598,3188,612],{},[603,3190,616],{"separator":615},[598,3192,619],{},[603,3194,622],{"stretchy":608},[603,3196,941],{},[627,3198,2560],{},[603,3200,1886],{},[627,3202,2926],{},[603,3204,3035],{},[627,3206,2926],{},[603,3208,941],{},[627,3210,3211],{},"0,15",[631,3213,3214],{"encoding":633},"\\operatorname{Cov}(X, Y) = 0{,}4 - 0{,}5 \\cdot 0{,}5 = 0{,}15",[579,3216,3218,3257,3284,3311,3338],{"className":3217,"ariaHidden":615},[638],[579,3219,3221,3224,3230,3233,3236,3239,3242,3245,3248,3251,3254],{"className":3220},[642],[579,3222],{"className":3223,"style":647},[646],[579,3225,3227],{"className":3226},[651],[579,3228,601],{"className":3229,"style":657},[655,656],[579,3231,609],{"className":3232},[661],[579,3234,612],{"className":3235,"style":666},[655,665],[579,3237,616],{"className":3238},[670],[579,3240],{"className":3241,"style":675},[674],[579,3243,619],{"className":3244,"style":679},[655,665],[579,3246,622],{"className":3247},[683],[579,3249],{"className":3250,"style":687},[674],[579,3252,941],{"className":3253},[691],[579,3255],{"className":3256,"style":687},[674],[579,3258,3260,3263,3266,3272,3275,3278,3281],{"className":3259},[642],[579,3261],{"className":3262,"style":2610},[646],[579,3264,629],{"className":3265},[655],[579,3267,3269],{"className":3268},[655],[579,3270,616],{"className":3271},[670],[579,3273,2623],{"className":3274},[655],[579,3276],{"className":3277,"style":679},[674],[579,3279,1886],{"className":3280},[1279],[579,3282],{"className":3283,"style":679},[674],[579,3285,3287,3290,3293,3299,3302,3305,3308],{"className":3286},[642],[579,3288],{"className":3289,"style":2610},[646],[579,3291,629],{"className":3292},[655],[579,3294,3296],{"className":3295},[655],[579,3297,616],{"className":3298},[670],[579,3300,3006],{"className":3301},[655],[579,3303],{"className":3304,"style":679},[674],[579,3306,3035],{"className":3307},[1279],[579,3309],{"className":3310,"style":679},[674],[579,3312,3314,3317,3320,3326,3329,3332,3335],{"className":3313},[642],[579,3315],{"className":3316,"style":2610},[646],[579,3318,629],{"className":3319},[655],[579,3321,3323],{"className":3322},[655],[579,3324,616],{"className":3325},[670],[579,3327,3006],{"className":3328},[655],[579,3330],{"className":3331,"style":687},[674],[579,3333,941],{"className":3334},[691],[579,3336],{"className":3337,"style":687},[674],[579,3339,3341,3344,3347,3353],{"className":3340},[642],[579,3342],{"className":3343,"style":2610},[646],[579,3345,629],{"className":3346},[655],[579,3348,3350],{"className":3349},[655],[579,3351,616],{"className":3352},[670],[579,3354,3356],{"className":3355},[655],"15",[565,3358,3359,3360,1060],{},"Die Definition liefert dasselbe: ",[579,3361,3363,3432],{"className":3362},[582],[579,3364,3366],{"className":3365},[586],[588,3367,3368],{"xmlns":590},[592,3369,3370,3429],{},[595,3371,3372,3374,3376,3378,3385,3387,3389,3391,3393,3395,3397,3399,3401,3403,3405,3407,3409,3411,3413,3415,3421,3423,3425,3427],{},[603,3373,609],{"stretchy":608},[603,3375,1886],{},[627,3377,2926],{},[3379,3380,3381,3383],"msup",{},[603,3382,622],{"stretchy":608},[627,3384,1433],{},[603,3386,3035],{},[627,3388,2560],{},[603,3390,1204],{},[627,3392,1433],{},[603,3394,3035],{},[603,3396,609],{"stretchy":608},[603,3398,1886],{},[627,3400,2926],{},[603,3402,622],{"stretchy":608},[603,3404,609],{"stretchy":608},[627,3406,2926],{},[603,3408,622],{"stretchy":608},[603,3410,3035],{},[627,3412,2653],{},[603,3414,1204],{},[3379,3416,3417,3419],{},[627,3418,2926],{},[627,3420,1433],{},[603,3422,3035],{},[627,3424,2560],{},[603,3426,941],{},[627,3428,3211],{},[631,3430,3431],{"encoding":633},"(-0{,}5)^2 \\cdot 0{,}4 + 2 \\cdot (-0{,}5)(0{,}5) \\cdot 0{,}1 + 0{,}5^2 \\cdot 0{,}4 = 0{,}15",[579,3433,3435,3500,3527,3545,3599,3626,3680,3707],{"className":3434,"ariaHidden":615},[638],[579,3436,3438,3442,3445,3448,3451,3457,3460,3491,3494,3497],{"className":3437},[642],[579,3439],{"className":3440,"style":3441},[646],"height:1.0641em;vertical-align:-0.25em;",[579,3443,609],{"className":3444},[661],[579,3446,1886],{"className":3447},[655],[579,3449,629],{"className":3450},[655],[579,3452,3454],{"className":3453},[655],[579,3455,616],{"className":3456},[670],[579,3458,3006],{"className":3459},[655],[579,3461,3463,3466],{"className":3462},[683],[579,3464,622],{"className":3465},[683],[579,3467,3469],{"className":3468},[1746],[579,3470,3472],{"className":3471},[1750],[579,3473,3475],{"className":3474},[1755],[579,3476,3479],{"className":3477,"style":3478},[1759],"height:0.8141em;",[579,3480,3482,3485],{"style":3481},"top:-3.063em;margin-right:0.05em;",[579,3483],{"className":3484,"style":1768},[1767],[579,3486,3488],{"className":3487},[1772,1773,1774,1775],[579,3489,1433],{"className":3490},[655,1775],[579,3492],{"className":3493,"style":679},[674],[579,3495,3035],{"className":3496},[1279],[579,3498],{"className":3499,"style":679},[674],[579,3501,3503,3506,3509,3515,3518,3521,3524],{"className":3502},[642],[579,3504],{"className":3505,"style":2610},[646],[579,3507,629],{"className":3508},[655],[579,3510,3512],{"className":3511},[655],[579,3513,616],{"className":3514},[670],[579,3516,2623],{"className":3517},[655],[579,3519],{"className":3520,"style":679},[674],[579,3522,1204],{"className":3523},[1279],[579,3525],{"className":3526,"style":679},[674],[579,3528,3530,3533,3536,3539,3542],{"className":3529},[642],[579,3531],{"className":3532,"style":701},[646],[579,3534,1433],{"className":3535},[655],[579,3537],{"className":3538,"style":679},[674],[579,3540,3035],{"className":3541},[1279],[579,3543],{"className":3544,"style":679},[674],[579,3546,3548,3551,3554,3557,3560,3566,3569,3572,3575,3578,3584,3587,3590,3593,3596],{"className":3547},[642],[579,3549],{"className":3550,"style":647},[646],[579,3552,609],{"className":3553},[661],[579,3555,1886],{"className":3556},[655],[579,3558,629],{"className":3559},[655],[579,3561,3563],{"className":3562},[655],[579,3564,616],{"className":3565},[670],[579,3567,3006],{"className":3568},[655],[579,3570,622],{"className":3571},[683],[579,3573,609],{"className":3574},[661],[579,3576,629],{"className":3577},[655],[579,3579,3581],{"className":3580},[655],[579,3582,616],{"className":3583},[670],[579,3585,3006],{"className":3586},[655],[579,3588,622],{"className":3589},[683],[579,3591],{"className":3592,"style":679},[674],[579,3594,3035],{"className":3595},[1279],[579,3597],{"className":3598,"style":679},[674],[579,3600,3602,3605,3608,3614,3617,3620,3623],{"className":3601},[642],[579,3603],{"className":3604,"style":2610},[646],[579,3606,629],{"className":3607},[655],[579,3609,3611],{"className":3610},[655],[579,3612,616],{"className":3613},[670],[579,3615,1878],{"className":3616},[655],[579,3618],{"className":3619,"style":679},[674],[579,3621,1204],{"className":3622},[1279],[579,3624],{"className":3625,"style":679},[674],[579,3627,3629,3633,3636,3642,3671,3674,3677],{"className":3628},[642],[579,3630],{"className":3631,"style":3632},[646],"height:1.0085em;vertical-align:-0.1944em;",[579,3634,629],{"className":3635},[655],[579,3637,3639],{"className":3638},[655],[579,3640,616],{"className":3641},[670],[579,3643,3645,3648],{"className":3644},[655],[579,3646,3006],{"className":3647},[655],[579,3649,3651],{"className":3650},[1746],[579,3652,3654],{"className":3653},[1750],[579,3655,3657],{"className":3656},[1755],[579,3658,3660],{"className":3659,"style":3478},[1759],[579,3661,3662,3665],{"style":3481},[579,3663],{"className":3664,"style":1768},[1767],[579,3666,3668],{"className":3667},[1772,1773,1774,1775],[579,3669,1433],{"className":3670},[655,1775],[579,3672],{"className":3673,"style":679},[674],[579,3675,3035],{"className":3676},[1279],[579,3678],{"className":3679,"style":679},[674],[579,3681,3683,3686,3689,3695,3698,3701,3704],{"className":3682},[642],[579,3684],{"className":3685,"style":2610},[646],[579,3687,629],{"className":3688},[655],[579,3690,3692],{"className":3691},[655],[579,3693,616],{"className":3694},[670],[579,3696,2623],{"className":3697},[655],[579,3699],{"className":3700,"style":687},[674],[579,3702,941],{"className":3703},[691],[579,3705],{"className":3706,"style":687},[674],[579,3708,3710,3713,3716,3722],{"className":3709},[642],[579,3711],{"className":3712,"style":2610},[646],[579,3714,629],{"className":3715},[655],[579,3717,3719],{"className":3718},[655],[579,3720,616],{"className":3721},[670],[579,3723,3356],{"className":3724},[655],[565,3726,3727,3728,2624,3780,2624,3832,3885,3886,2624,3969,3163],{},"Datenpaare ",[579,3729,3731,3753],{"className":3730},[582],[579,3732,3734],{"className":3733},[586],[588,3735,3736],{"xmlns":590},[592,3737,3738,3750],{},[595,3739,3740,3742,3744,3746,3748],{},[603,3741,609],{"stretchy":608},[627,3743,1878],{},[603,3745,616],{"separator":615},[627,3747,1433],{},[603,3749,622],{"stretchy":608},[631,3751,3752],{"encoding":633},"(1, 2)",[579,3754,3756],{"className":3755,"ariaHidden":615},[638],[579,3757,3759,3762,3765,3768,3771,3774,3777],{"className":3758},[642],[579,3760],{"className":3761,"style":647},[646],[579,3763,609],{"className":3764},[661],[579,3766,1878],{"className":3767},[655],[579,3769,616],{"className":3770},[670],[579,3772],{"className":3773,"style":675},[674],[579,3775,1433],{"className":3776},[655],[579,3778,622],{"className":3779},[683],[579,3781,3783,3805],{"className":3782},[582],[579,3784,3786],{"className":3785},[586],[588,3787,3788],{"xmlns":590},[592,3789,3790,3802],{},[595,3791,3792,3794,3796,3798,3800],{},[603,3793,609],{"stretchy":608},[627,3795,1433],{},[603,3797,616],{"separator":615},[627,3799,2623],{},[603,3801,622],{"stretchy":608},[631,3803,3804],{"encoding":633},"(2, 4)",[579,3806,3808],{"className":3807,"ariaHidden":615},[638],[579,3809,3811,3814,3817,3820,3823,3826,3829],{"className":3810},[642],[579,3812],{"className":3813,"style":647},[646],[579,3815,609],{"className":3816},[661],[579,3818,1433],{"className":3819},[655],[579,3821,616],{"className":3822},[670],[579,3824],{"className":3825,"style":675},[674],[579,3827,2623],{"className":3828},[655],[579,3830,622],{"className":3831},[683],[579,3833,3835,3858],{"className":3834},[582],[579,3836,3838],{"className":3837},[586],[588,3839,3840],{"xmlns":590},[592,3841,3842,3855],{},[595,3843,3844,3846,3849,3851,3853],{},[603,3845,609],{"stretchy":608},[627,3847,3848],{},"3",[603,3850,616],{"separator":615},[627,3852,3006],{},[603,3854,622],{"stretchy":608},[631,3856,3857],{"encoding":633},"(3, 5)",[579,3859,3861],{"className":3860,"ariaHidden":615},[638],[579,3862,3864,3867,3870,3873,3876,3879,3882],{"className":3863},[642],[579,3865],{"className":3866,"style":647},[646],[579,3868,609],{"className":3869},[661],[579,3871,3848],{"className":3872},[655],[579,3874,616],{"className":3875},[670],[579,3877],{"className":3878,"style":675},[674],[579,3880,3006],{"className":3881},[655],[579,3883,622],{"className":3884},[683]," mit ",[579,3887,3889,3911],{"className":3888},[582],[579,3890,3892],{"className":3891},[586],[588,3893,3894],{"xmlns":590},[592,3895,3896,3908],{},[595,3897,3898,3904,3906],{},[1916,3899,3900,3902],{"accent":615},[598,3901,1707],{},[603,3903,1922],{},[603,3905,941],{},[627,3907,1433],{},[631,3909,3910],{"encoding":633},"\\bar{x} = 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",[579,5523,5525,5554],{"className":5524},[582],[579,5526,5528],{"className":5527},[586],[588,5529,5530],{"xmlns":590},[592,5531,5532,5552],{},[595,5533,5534,5536,5538,5540,5542,5544,5546,5548,5550],{},[598,5535,601],{"mathvariant":600},[603,5537,605],{},[603,5539,609],{"stretchy":608},[598,5541,612],{},[603,5543,616],{"separator":615},[598,5545,619],{},[603,5547,622],{"stretchy":608},[603,5549,941],{},[627,5551,629],{},[631,5553,946],{"encoding":633},[579,5555,5557,5596],{"className":5556,"ariaHidden":615},[638],[579,5558,5560,5563,5569,5572,5575,5578,5581,5584,5587,5590,5593],{"className":5559},[642],[579,5561],{"className":5562,"style":647},[646],[579,5564,5566],{"className":5565},[651],[579,5567,601],{"className":5568,"style":657},[655,656],[579,5570,609],{"className":5571},[661],[579,5573,612],{"className":5574,"style":666},[655,665],[579,5576,616],{"className":5577},[670],[579,5579],{"className":5580,"style":675},[674],[579,5582,619],{"className":5583,"style":679},[655,665],[579,5585,622],{"className":5586},[683],[579,5588],{"className":5589,"style":687},[674],[579,5591,941],{"className":5592},[691],[579,5594],{"className":5595,"style":687},[674],[579,5597,5599,5602],{"className":5598},[642],[579,5600],{"className":5601,"style":701},[646],[579,5603,629],{"className":5604},[655],", obwohl ",[579,5607,5609,5622],{"className":5608},[582],[579,5610,5612],{"className":5611},[586],[588,5613,5614],{"xmlns":590},[592,5615,5616,5620],{},[595,5617,5618],{},[598,5619,619],{},[631,5621,619],{"encoding":633},[579,5623,5625],{"className":5624,"ariaHidden":615},[638],[579,5626,5628,5631],{"className":5627},[642],[579,5629],{"className":5630,"style":731},[646],[579,5632,619],{"className":5633,"style":679},[655,665]," durch ",[579,5636,5638,5651],{"className":5637},[582],[579,5639,5641],{"className":5640},[586],[588,5642,5643],{"xmlns":590},[592,5644,5645,5649],{},[595,5646,5647],{},[598,5648,612],{},[631,5650,612],{"encoding":633},[579,5652,5654],{"className":5653,"ariaHidden":615},[638],[579,5655,5657,5660],{"className":5656},[642],[579,5658],{"className":5659,"style":731},[646],[579,5661,612],{"className":5662,"style":666},[655,665]," festgelegt ist.",[560,5665,5667],{"id":5666},"typische-fehler","Typische Fehler",[573,5669,5670,5757,6056],{},[576,5671,5672,5673,5756],{},"Aus ",[579,5674,5676,5705],{"className":5675},[582],[579,5677,5679],{"className":5678},[586],[588,5680,5681],{"xmlns":590},[592,5682,5683,5703],{},[595,5684,5685,5687,5689,5691,5693,5695,5697,5699,5701],{},[598,5686,601],{"mathvariant":600},[603,5688,605],{},[603,5690,609],{"stretchy":608},[598,5692,612],{},[603,5694,616],{"separator":615},[598,5696,619],{},[603,5698,622],{"stretchy":608},[603,5700,941],{},[627,5702,629],{},[631,5704,946],{"encoding":633},[579,5706,5708,5747],{"className":5707,"ariaHidden":615},[638],[579,5709,5711,5714,5720,5723,5726,5729,5732,5735,5738,5741,5744],{"className":5710},[642],[579,5712],{"className":5713,"style":647},[646],[579,5715,5717],{"className":5716},[651],[579,5718,601],{"className":5719,"style":657},[655,656],[579,5721,609],{"className":5722},[661],[579,5724,612],{"className":5725,"style":666},[655,665],[579,5727,616],{"className":5728},[670],[579,5730],{"className":5731,"style":675},[674],[579,5733,619],{"className":5734,"style":679},[655,665],[579,5736,622],{"className":5737},[683],[579,5739],{"className":5740,"style":687},[674],[579,5742,941],{"className":5743},[691],[579,5745],{"className":5746,"style":687},[674],[579,5748,5750,5753],{"className":5749},[642],[579,5751],{"className":5752,"style":701},[646],[579,5754,629],{"className":5755},[655]," auf Unabhängigkeit schließen. Das letzte Beispiel zeigt, dass das falsch ist.",[576,5758,5759,5760,5788,5789,5818,5819,5788,5848,5876,5877,6055],{},"Die Größe der Kovarianz als Stärke des Zusammenhangs deuten. Multipliziert man im Datenbeispiel alle ",[579,5761,5763,5776],{"className":5762},[582],[579,5764,5766],{"className":5765},[586],[588,5767,5768],{"xmlns":590},[592,5769,5770,5774],{},[595,5771,5772],{},[598,5773,1707],{},[631,5775,1707],{"encoding":633},[579,5777,5779],{"className":5778,"ariaHidden":615},[638],[579,5780,5782,5785],{"className":5781},[642],[579,5783],{"className":5784,"style":2404},[646],[579,5786,1707],{"className":5787},[655,665],"-Werte mit ",[579,5790,5792,5806],{"className":5791},[582],[579,5793,5795],{"className":5794},[586],[588,5796,5797],{"xmlns":590},[592,5798,5799,5804],{},[595,5800,5801],{},[627,5802,5803],{},"10",[631,5805,5803],{"encoding":633},[579,5807,5809],{"className":5808,"ariaHidden":615},[638],[579,5810,5812,5815],{"className":5811},[642],[579,5813],{"className":5814,"style":701},[646],[579,5816,5803],{"className":5817},[655]," (etwa durch eine andere Einheit) und alle ",[579,5820,5822,5835],{"className":5821},[582],[579,5823,5825],{"className":5824},[586],[588,5826,5827],{"xmlns":590},[592,5828,5829,5833],{},[595,5830,5831],{},[598,5832,1717],{},[631,5834,1717],{"encoding":633},[579,5836,5838],{"className":5837,"ariaHidden":615},[638],[579,5839,5841,5845],{"className":5840},[642],[579,5842],{"className":5843,"style":5844},[646],"height:0.625em;vertical-align:-0.1944em;",[579,5846,1717],{"className":5847,"style":1805},[655,665],[579,5849,5851,5864],{"className":5850},[582],[579,5852,5854],{"className":5853},[586],[588,5855,5856],{"xmlns":590},[592,5857,5858,5862],{},[595,5859,5860],{},[627,5861,3848],{},[631,5863,3848],{"encoding":633},[579,5865,5867],{"className":5866,"ariaHidden":615},[638],[579,5868,5870,5873],{"className":5869},[642],[579,5871],{"className":5872,"style":701},[646],[579,5874,3848],{"className":5875},[655],", wird ",[579,5878,5880,5919],{"className":5879},[582],[579,5881,5883],{"className":5882},[586],[588,5884,5885],{"xmlns":590},[592,5886,5887,5916],{},[595,5888,5889,5899,5901,5903,5905,5907,5909,5911,5913],{},[1703,5890,5891,5893],{},[598,5892,1864],{},[595,5894,5895,5897],{},[598,5896,1707],{},[598,5898,1717],{},[603,5900,941],{},[627,5902,3848],{},[603,5904,3035],{},[627,5906,5803],{},[603,5908,3035],{},[627,5910,4269],{},[603,5912,941],{},[627,5914,5915],{},"45",[631,5917,5918],{"encoding":633},"s_{xy} = 3 \\cdot 10 \\cdot 1{,}5 = 45",[579,5920,5922,5983,6001,6019,6046],{"className":5921,"ariaHidden":615},[638],[579,5923,5925,5928,5974,5977,5980],{"className":5924},[642],[579,5926],{"className":5927,"style":1955},[646],[579,5929,5931,5934],{"className":5930},[655],[579,5932,1864],{"className":5933},[655,665],[579,5935,5937],{"className":5936},[1746],[579,5938,5940,5966],{"className":5939},[1750,1751],[579,5941,5943,5963],{"className":5942},[1755],[579,5944,5946],{"className":5945,"style":1974},[1759],[579,5947,5948,5951],{"style":1763},[579,5949],{"className":5950,"style":1768},[1767],[579,5952,5954],{"className":5953},[1772,1773,1774,1775],[579,5955,5957,5960],{"className":5956},[655,1775],[579,5958,1707],{"className":5959},[655,665,1775],[579,5961,1717],{"className":5962,"style":1805},[655,665,1775],[579,5964,1783],{"className":5965},[1782],[579,5967,5969],{"className":5968},[1755],[579,5970,5972],{"className":5971,"style":2001},[1759],[579,5973],{},[579,5975],{"className":5976,"style":687},[674],[579,5978,941],{"className":5979},[691],[579,5981],{"className":5982,"style":687},[674],[579,5984,5986,5989,5992,5995,5998],{"className":5985},[642],[579,5987],{"className":5988,"style":701},[646],[579,5990,3848],{"className":5991},[655],[579,5993],{"className":5994,"style":679},[674],[579,5996,3035],{"className":5997},[1279],[579,5999],{"className":6000,"style":679},[674],[579,6002,6004,6007,6010,6013,6016],{"className":6003},[642],[579,6005],{"className":6006,"style":701},[646],[579,6008,5803],{"className":6009},[655],[579,6011],{"className":6012,"style":679},[674],[579,6014,3035],{"className":6015},[1279],[579,6017],{"className":6018,"style":679},[674],[579,6020,6022,6025,6028,6034,6037,6040,6043],{"className":6021},[642],[579,6023],{"className":6024,"style":2610},[646],[579,6026,1878],{"className":6027},[655],[579,6029,6031],{"className":6030},[655],[579,6032,616],{"className":6033},[670],[579,6035,3006],{"className":6036},[655],[579,6038],{"className":6039,"style":687},[674],[579,6041,941],{"className":6042},[691],[579,6044],{"className":6045,"style":687},[674],[579,6047,6049,6052],{"className":6048},[642],[579,6050],{"className":6051,"style":701},[646],[579,6053,5915],{"className":6054},[655],", der Zusammenhang ist aber derselbe.",[576,6057,6058,6059,6140],{},"Im Verschiebungssatz ",[579,6060,6062,6092],{"className":6061},[582],[579,6063,6065],{"className":6064},[586],[588,6066,6067],{"xmlns":590},[592,6068,6069,6089],{},[595,6070,6071,6073,6075,6077,6079,6081,6083,6085,6087],{},[598,6072,2905],{},[603,6074,609],{"stretchy":608},[598,6076,612],{},[603,6078,622],{"stretchy":608},[603,6080,3035],{},[598,6082,2905],{},[603,6084,609],{"stretchy":608},[598,6086,619],{},[603,6088,622],{"stretchy":608},[631,6090,6091],{"encoding":633},"E(X) \\cdot E(Y)",[579,6093,6095,6122],{"className":6094,"ariaHidden":615},[638],[579,6096,6098,6101,6104,6107,6110,6113,6116,6119],{"className":6097},[642],[579,6099],{"className":6100,"style":647},[646],[579,6102,2905],{"className":6103,"style":2942},[655,665],[579,6105,609],{"className":6106},[661],[579,6108,612],{"className":6109,"style":666},[655,665],[579,6111,622],{"className":6112},[683],[579,6114],{"className":6115,"style":679},[674],[579,6117,3035],{"className":6118},[1279],[579,6120],{"className":6121,"style":679},[674],[579,6123,6125,6128,6131,6134,6137],{"className":6124},[642],[579,6126],{"className":6127,"style":647},[646],[579,6129,2905],{"className":6130,"style":2942},[655,665],[579,6132,609],{"className":6133},[661],[579,6135,619],{"className":6136,"style":679},[655,665],[579,6138,622],{"className":6139},[683]," addieren statt abziehen.",{"title":6142,"searchDepth":6143,"depth":6143,"links":6144},"",2,[6145,6146,6147],{"id":562,"depth":6143,"text":563},{"id":2413,"depth":6143,"text":2414},{"id":5666,"depth":6143,"text":5667},[6149,6152,6155,6158,6161,6163,6165,6167,6170,6172,6175],{"lhs":6150,"rhs":6151},"(a - (a+b+c)\u002F3)*(u - (u+v+w)\u002F3) + (b - (a+b+c)\u002F3)*(v - (u+v+w)\u002F3) + (c - (a+b+c)\u002F3)*(w - (u+v+w)\u002F3)","a*u + b*v + c*w - 3*((a+b+c)\u002F3)*((u+v+w)\u002F3)",{"lhs":6153,"rhs":6154},"0*0.4 + 0*0.1 + 1*0.1 + 1*0.4","0.5",{"lhs":6156,"rhs":6157},"1*1*0.4","0.4",{"lhs":6159,"rhs":6160},"0.4 - 0.5 * 0.5","0.15",{"lhs":6162,"rhs":6160},"(0-0.5)*(0-0.5)*0.4 + (0-0.5)*(1-0.5)*0.1 + (1-0.5)*(0-0.5)*0.1 + (1-0.5)*(1-0.5)*0.4",{"lhs":6164,"rhs":629},"((-1)^3 + 0^3 + 1^3) \u002F 3",{"lhs":6166,"rhs":1433},"(1 + 2 + 3) \u002F 3",{"lhs":6168,"rhs":6169},"(2 + 4 + 5) \u002F 3","11\u002F3",{"lhs":6171,"rhs":3848},"(1-2)*(2-11\u002F3) + (2-2)*(4-11\u002F3) + (3-2)*(5-11\u002F3)",{"lhs":6173,"rhs":6174},"3 \u002F (3 - 1)","1.5",{"lhs":6176,"rhs":5915},"3 * 10 * 1.5","E(X^2) \u003C \\infty,\\ E(Y^2) \u003C \\infty","\u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmi>E\u003C\u002Fmi>\u003Cmo stretchy=\"false\">(\u003C\u002Fmo>\u003Cmsup>\u003Cmi>X\u003C\u002Fmi>\u003Cmn>2\u003C\u002Fmn>\u003C\u002Fmsup>\u003Cmo stretchy=\"false\">)\u003C\u002Fmo>\u003Cmo><\u003C\u002Fmo>\u003Cmi mathvariant=\"normal\">∞\u003C\u002Fmi>\u003Cmo separator=\"true\">,\u003C\u002Fmo>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">E(X^2) < \\infty,\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:1.0641em;vertical-align:-0.25em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\" style=\"margin-right:0.0576em;\">E\u003C\u002Fspan>\u003Cspan class=\"mopen\">(\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mord mathnormal\" style=\"margin-right:0.0785em;\">X\u003C\u002Fspan>\u003Cspan class=\"msupsub\">\u003Cspan class=\"vlist-t\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.8141em;\">\u003Cspan style=\"top:-3.063em;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>\u003Cspan class=\"mclose\">)\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:0.625em;vertical-align:-0.1944em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">∞\u003C\u002Fspan>\u003Cspan class=\"mpunct\">,\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan> \u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmi>E\u003C\u002Fmi>\u003Cmo stretchy=\"false\">(\u003C\u002Fmo>\u003Cmsup>\u003Cmi>Y\u003C\u002Fmi>\u003Cmn>2\u003C\u002Fmn>\u003C\u002Fmsup>\u003Cmo stretchy=\"false\">)\u003C\u002Fmo>\u003Cmo><\u003C\u002Fmo>\u003Cmi mathvariant=\"normal\">∞\u003C\u002Fmi>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">E(Y^2) < \\infty\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:1.0641em;vertical-align:-0.25em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\" style=\"margin-right:0.0576em;\">E\u003C\u002Fspan>\u003Cspan class=\"mopen\">(\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mord mathnormal\" style=\"margin-right:0.2222em;\">Y\u003C\u002Fspan>\u003Cspan class=\"msupsub\">\u003Cspan class=\"vlist-t\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.8141em;\">\u003Cspan style=\"top:-3.063em;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>\u003Cspan class=\"mclose\">)\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:0.4306em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">∞\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>",null,"md","covariance","\\operatorname{Cov}(X, Y) = E\\big[(X - E(X))(Y - E(Y))\\big] = E(XY) - E(X)\\,E(Y)","\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 mathvariant=\"normal\">Cov\u003C\u002Fmi>\u003Cmo>⁡\u003C\u002Fmo>\u003Cmo stretchy=\"false\">(\u003C\u002Fmo>\u003Cmi>X\u003C\u002Fmi>\u003Cmo separator=\"true\">,\u003C\u002Fmo>\u003Cmi>Y\u003C\u002Fmi>\u003Cmo stretchy=\"false\">)\u003C\u002Fmo>\u003Cmo>=\u003C\u002Fmo>\u003Cmi>E\u003C\u002Fmi>\u003Cmo fence=\"false\" stretchy=\"true\" minsize=\"1.2em\" maxsize=\"1.2em\">[\u003C\u002Fmo>\u003Cmo stretchy=\"false\">(\u003C\u002Fmo>\u003Cmi>X\u003C\u002Fmi>\u003Cmo>−\u003C\u002Fmo>\u003Cmi>E\u003C\u002Fmi>\u003Cmo stretchy=\"false\">(\u003C\u002Fmo>\u003Cmi>X\u003C\u002Fmi>\u003Cmo stretchy=\"false\">)\u003C\u002Fmo>\u003Cmo stretchy=\"false\">)\u003C\u002Fmo>\u003Cmo stretchy=\"false\">(\u003C\u002Fmo>\u003Cmi>Y\u003C\u002Fmi>\u003Cmo>−\u003C\u002Fmo>\u003Cmi>E\u003C\u002Fmi>\u003Cmo stretchy=\"false\">(\u003C\u002Fmo>\u003Cmi>Y\u003C\u002Fmi>\u003Cmo stretchy=\"false\">)\u003C\u002Fmo>\u003Cmo stretchy=\"false\">)\u003C\u002Fmo>\u003Cmo fence=\"false\" stretchy=\"true\" minsize=\"1.2em\" maxsize=\"1.2em\">]\u003C\u002Fmo>\u003Cmo>=\u003C\u002Fmo>\u003Cmi>E\u003C\u002Fmi>\u003Cmo stretchy=\"false\">(\u003C\u002Fmo>\u003Cmi>X\u003C\u002Fmi>\u003Cmi>Y\u003C\u002Fmi>\u003Cmo stretchy=\"false\">)\u003C\u002Fmo>\u003Cmo>−\u003C\u002Fmo>\u003Cmi>E\u003C\u002Fmi>\u003Cmo stretchy=\"false\">(\u003C\u002Fmo>\u003Cmi>X\u003C\u002Fmi>\u003Cmo stretchy=\"false\">)\u003C\u002Fmo>\u003Cmtext> \u003C\u002Fmtext>\u003Cmi>E\u003C\u002Fmi>\u003Cmo stretchy=\"false\">(\u003C\u002Fmo>\u003Cmi>Y\u003C\u002Fmi>\u003Cmo stretchy=\"false\">)\u003C\u002Fmo>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">\\operatorname{Cov}(X, Y) = E\\big[(X - E(X))(Y - E(Y))\\big] = E(XY) - E(X)\\,E(Y)\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:1em;vertical-align:-0.25em;\">\u003C\u002Fspan>\u003Cspan class=\"mop\">\u003Cspan class=\"mord mathrm\" style=\"margin-right:0.0139em;\">Cov\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mopen\">(\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\" style=\"margin-right:0.0785em;\">X\u003C\u002Fspan>\u003Cspan class=\"mpunct\">,\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.1667em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\" style=\"margin-right:0.2222em;\">Y\u003C\u002Fspan>\u003Cspan class=\"mclose\">)\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:1.2em;vertical-align:-0.35em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\" style=\"margin-right:0.0576em;\">E\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"delimsizing size1\">[\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mopen\">(\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\" style=\"margin-right:0.0785em;\">X\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>\u003C\u002Fspan>\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:1em;vertical-align:-0.25em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\" style=\"margin-right:0.0576em;\">E\u003C\u002Fspan>\u003Cspan class=\"mopen\">(\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\" style=\"margin-right:0.0785em;\">X\u003C\u002Fspan>\u003Cspan class=\"mclose\">))\u003C\u002Fspan>\u003Cspan class=\"mopen\">(\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\" style=\"margin-right:0.2222em;\">Y\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>\u003C\u002Fspan>\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:1.2em;vertical-align:-0.35em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\" style=\"margin-right:0.0576em;\">E\u003C\u002Fspan>\u003Cspan class=\"mopen\">(\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\" style=\"margin-right:0.2222em;\">Y\u003C\u002Fspan>\u003Cspan class=\"mclose\">))\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"delimsizing size1\">]\u003C\u002Fspan>\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:1em;vertical-align:-0.25em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\" style=\"margin-right:0.0576em;\">E\u003C\u002Fspan>\u003Cspan class=\"mopen\">(\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\" style=\"margin-right:0.0785em;\">X\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\" style=\"margin-right:0.2222em;\">Y\u003C\u002Fspan>\u003Cspan class=\"mclose\">)\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>\u003C\u002Fspan>\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:1em;vertical-align:-0.25em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\" style=\"margin-right:0.0576em;\">E\u003C\u002Fspan>\u003Cspan class=\"mopen\">(\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\" style=\"margin-right:0.0785em;\">X\u003C\u002Fspan>\u003Cspan class=\"mclose\">)\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.1667em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\" style=\"margin-right:0.0576em;\">E\u003C\u002Fspan>\u003Cspan class=\"mopen\">(\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\" style=\"margin-right:0.2222em;\">Y\u003C\u002Fspan>\u003Cspan class=\"mclose\">)\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>","university",{},true,"\u002Fde\u002Fformulas\u002Fmath\u002Fstochastics\u002Fkovarianz",[],[6190,6191,6192,6193],"correlation-coefficient","variance-linear-transformation","expectation-linearity","linear-regression",{"title":548,"description":6142},"de\u002Fformulas\u002Fmath\u002Fstochastics\u002Fkovarianz","Die Kovarianz misst, ob zwei Zufallsgrößen gemeinsam über oder unter ihrem Erwartungswert liegen.",[6198,6199,6200,6201,6202],"zusammenhang","zufallsgröße","varianz","korrelation","statistik",[6204,6208,6212],{"symbol":6205,"meaning":6206,"symbolHtml":6207},"\\operatorname{Cov}(X, Y)","Kovarianz von X und Y","\u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmi mathvariant=\"normal\">Cov\u003C\u002Fmi>\u003Cmo>⁡\u003C\u002Fmo>\u003Cmo stretchy=\"false\">(\u003C\u002Fmo>\u003Cmi>X\u003C\u002Fmi>\u003Cmo separator=\"true\">,\u003C\u002Fmo>\u003Cmi>Y\u003C\u002Fmi>\u003Cmo stretchy=\"false\">)\u003C\u002Fmo>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">\\operatorname{Cov}(X, Y)\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:1em;vertical-align:-0.25em;\">\u003C\u002Fspan>\u003Cspan class=\"mop\">\u003Cspan class=\"mord mathrm\" style=\"margin-right:0.0139em;\">Cov\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mopen\">(\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\" style=\"margin-right:0.0785em;\">X\u003C\u002Fspan>\u003Cspan class=\"mpunct\">,\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.1667em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\" style=\"margin-right:0.2222em;\">Y\u003C\u002Fspan>\u003Cspan class=\"mclose\">)\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>",{"symbol":6209,"meaning":6210,"symbolHtml":6211},"X, Y","Zufallsgrößen auf demselben Wahrscheinlichkeitsraum","\u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmi>X\u003C\u002Fmi>\u003Cmo separator=\"true\">,\u003C\u002Fmo>\u003Cmi>Y\u003C\u002Fmi>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">X, Y\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:0.8778em;vertical-align:-0.1944em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\" style=\"margin-right:0.0785em;\">X\u003C\u002Fspan>\u003Cspan class=\"mpunct\">,\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.1667em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\" style=\"margin-right:0.2222em;\">Y\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>",{"symbol":2905,"meaning":6213,"symbolHtml":6214},"Erwartungswert","\u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmi>E\u003C\u002Fmi>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">E\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:0.6833em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\" style=\"margin-right:0.0576em;\">E\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>","cKAkF5cZYSVvqDOm5Ng8H-IiGu5QESpKEEtiAqLhHBs",[6217,6220,6223,6226],{"stem":6218,"title":6219,"category":441},"de\u002Fformulas\u002Fmath\u002Fstochastics\u002Fkorrelationskoeffizient","Korrelationskoeffizient nach Pearson",{"stem":6221,"title":6222,"category":441},"de\u002Fformulas\u002Fmath\u002Fstochastics\u002Flinearitaet-des-erwartungswerts","Linearität des Erwartungswerts",{"stem":6224,"title":6225,"category":441},"de\u002Fformulas\u002Fmath\u002Fstochastics\u002Fregressionsgerade","Regressionsgerade",{"stem":6227,"title":6228,"category":441},"de\u002Fformulas\u002Fmath\u002Fstochastics\u002Fvarianz-lineare-transformation","Varianz bei linearer Transformation",1793824286217]