{"id":2459,"date":"2023-07-22T04:29:06","date_gmt":"2023-07-22T04:29:06","guid":{"rendered":"https:\/\/statorials.org\/my\/python-%e1%80%90%e1%80%bd%e1%80%84%e1%80%ba-bivariate-%e1%80%81%e1%80%bd%e1%80%b2%e1%80%81%e1%80%bc%e1%80%99%e1%80%ba%e1%80%b8%e1%80%85%e1%80%ad%e1%80%90%e1%80%ba%e1%80%96%e1%80%bc%e1%80%ac%e1%80%81\/"},"modified":"2023-07-22T04:29:06","modified_gmt":"2023-07-22T04:29:06","slug":"python-%e1%80%90%e1%80%bd%e1%80%84%e1%80%ba-bivariate-%e1%80%81%e1%80%bd%e1%80%b2%e1%80%81%e1%80%bc%e1%80%99%e1%80%ba%e1%80%b8%e1%80%85%e1%80%ad%e1%80%90%e1%80%ba%e1%80%96%e1%80%bc%e1%80%ac%e1%80%81","status":"publish","type":"post","link":"https:\/\/statorials.org\/my\/python-%e1%80%90%e1%80%bd%e1%80%84%e1%80%ba-bivariate-%e1%80%81%e1%80%bd%e1%80%b2%e1%80%81%e1%80%bc%e1%80%99%e1%80%ba%e1%80%b8%e1%80%85%e1%80%ad%e1%80%90%e1%80%ba%e1%80%96%e1%80%bc%e1%80%ac%e1%80%81\/","title":{"rendered":"Python \u1010\u103d\u1004\u103a bivariate \u1001\u103d\u1032\u1001\u103c\u1019\u103a\u1038\u1005\u102d\u1010\u103a\u1016\u103c\u102c\u1019\u103e\u102f\u1015\u103c\u102f\u101c\u102f\u1015\u103a\u1014\u100a\u103a\u1038- \u1025\u1015\u1019\u102c\u1019\u103b\u102c\u1038\u1016\u103c\u1004\u1037\u103a"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><strong>bivariate analysis \u101f\u1030\u101e\u1031\u102c<\/strong> \u101d\u1031\u102b\u101f\u102c\u101b\u101e\u100a\u103a \u1000\u102d\u1014\u103a\u1038\u101b\u103e\u1004\u103a\u1014\u103e\u1005\u103a\u1001\u102f\u104f \u1001\u103d\u1032\u1001\u103c\u1019\u103a\u1038\u1005\u102d\u1010\u103a\u1016\u103c\u102c\u1019\u103e\u102f\u1000\u102d\u102f \u101b\u100a\u103a\u100a\u103d\u103e\u1014\u103a\u1038\u101e\u100a\u103a\u104b \u101b\u103e\u1031\u1037\u1006\u1000\u103a &#8220; bi&#8221;  \u101e\u100a\u103a &#8220; \u1014\u103e\u1005\u103a\u1001\u102f&#8221;  \u1016\u103c\u1005\u103a\u101e\u1031\u102c\u1000\u103c\u1031\u102c\u1004\u1037\u103a\u104e\u1004\u103a\u1038\u1000\u102d\u102f\u101e\u1004\u103a\u1019\u103e\u1010\u103a\u1019\u102d\u1014\u102d\u102f\u1004\u103a\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">bivariate \u1001\u103d\u1032\u1001\u103c\u1019\u103a\u1038\u1005\u102d\u1010\u103a\u1016\u103c\u102c\u1001\u103c\u1004\u103a\u1038\u104f\u1015\u1014\u103a\u1038\u1010\u102d\u102f\u1004\u103a\u1019\u103e\u102c variable \u1014\u103e\u1005\u103a\u1001\u102f\u1000\u103c\u102c\u1038\u101b\u103e\u102d \u1006\u1000\u103a\u1014\u103d\u101a\u103a\u1019\u103e\u102f\u1000\u102d\u102f \u1014\u102c\u1038\u101c\u100a\u103a\u101b\u1014\u103a\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">bivariate \u1001\u103d\u1032\u1001\u103c\u1019\u103a\u1038\u1005\u102d\u1010\u103a\u1016\u103c\u102c\u1019\u103e\u102f\u1000\u102d\u102f \u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u101b\u1014\u103a \u1018\u102f\u1036\u1014\u100a\u103a\u1038\u101c\u1019\u103a\u1038\u101e\u102f\u1036\u1038\u1019\u103b\u102d\u102f\u1038\u101b\u103e\u102d\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>1.<\/strong> \u1010\u102d\u1019\u103a\u100a\u103d\u103e\u1014\u103a<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>2.<\/strong> \u1006\u1000\u103a\u1005\u1015\u103a\u1000\u102d\u1014\u103a\u1038\u1019\u103b\u102c\u1038<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>3.<\/strong> \u101b\u102d\u102f\u1038\u101b\u103e\u1004\u103a\u1038\u101e\u1031\u102c\u1019\u103b\u1009\u103a\u1038\u1000\u103c\u1031\u102c\u1004\u103a\u1038\u1006\u102f\u1010\u103a\u101a\u102f\u1010\u103a\u1019\u103e\u102f<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1021\u1031\u102c\u1000\u103a\u1015\u102b\u1025\u1015\u1019\u102c\u101e\u100a\u103a \u1000\u102d\u1014\u103a\u1038\u101b\u103e\u1004\u103a\u1014\u103e\u1005\u103a\u1001\u102f\u1021\u1000\u103c\u1031\u102c\u1004\u103a\u1038 \u1021\u1001\u103b\u1000\u103a\u1021\u101c\u1000\u103a\u1015\u102b\u101b\u103e\u102d\u101e\u1031\u102c \u1021\u1031\u102c\u1000\u103a\u1015\u102b pandas DataFrame \u1000\u102d\u102f\u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u104d Python \u1010\u103d\u1004\u103a \u1024 bivariate \u1001\u103d\u1032\u1001\u103c\u1019\u103a\u1038\u1005\u102d\u1010\u103a\u1016\u103c\u102c\u1019\u103e\u102f\u1021\u1019\u103b\u102d\u102f\u1038\u1021\u1005\u102c\u1038\u1010\u1005\u103a\u1001\u102f\u1005\u102e\u1000\u102d\u102f \u1019\u100a\u103a\u101e\u102d\u102f\u1037\u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u101b\u1019\u100a\u103a\u1000\u102d\u102f \u1015\u103c\u101e\u101e\u100a\u103a- <strong>(1)<\/strong> \u101c\u1031\u1037\u101c\u102c\u1001\u103b\u102d\u1014\u103a\u1014\u102c\u101b\u102e\u1019\u103b\u102c\u1038\u1014\u103e\u1004\u1037\u103a <strong>(2)<\/strong> \u1019\u1010\u1030\u100a\u102e\u101e\u1031\u102c\u1000\u103b\u1031\u102c\u1004\u103a\u1038\u101e\u102c\u1038 20 \u1019\u103e\u101b\u101b\u103e\u102d\u101e\u1031\u102c \u1005\u102c\u1019\u1031\u1038\u1015\u103d\u1032\u101b\u1019\u103e\u1010\u103a-<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008000;\">import<\/span> pandas <span style=\"color: #008000;\">as<\/span> pd\n\n<span style=\"color: #008080;\">#createDataFrame<\/span>\ndf = pd. <span style=\"color: #3366ff;\">DataFrame<\/span> ({' <span style=\"color: #ff0000;\">hours<\/span> ': [1, 1, 1, 2, 2, 2, 3, 3, 3, 3,\n                             3, 4, 4, 5, 5, 6, 6, 6, 7, 8],\n                   ' <span style=\"color: #ff0000;\">score<\/span> ': [75, 66, 68, 74, 78, 72, 85, 82, 90, 82,\n                             80, 88, 85, 90, 92, 94, 94, 88, 91, 96]})\n\n<span style=\"color: #008080;\">#view first five rows of DataFrame\n<\/span>df. <span style=\"color: #3366ff;\">head<\/span> ()\n\n\thours score\n0 1 75\n1 1 66\n2 1 68\n3 2 74\n4 2 78<\/strong><\/pre>\n<h3> <span style=\"color: #000000;\"><strong>1. \u1010\u102d\u1019\u103a\u100a\u103d\u103e\u1014\u103a<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">\u1005\u102c\u1019\u1031\u1038\u1015\u103d\u1032\u101b\u101c\u1012\u103a\u1019\u103b\u102c\u1038\u1014\u103e\u1004\u1037\u103a \u1014\u103e\u102d\u102f\u1004\u103a\u1038\u101a\u103e\u1009\u103a\u101c\u1031\u1037\u101c\u102c\u1011\u102c\u1038\u101e\u1031\u102c \u1014\u102c\u101b\u102e\u1019\u103b\u102c\u1038\u104f \u1021\u1015\u102d\u102f\u1004\u103a\u1038\u1021\u1005\u1010\u1005\u103a\u1001\u102f\u1000\u102d\u102f \u1016\u1014\u103a\u1010\u102e\u1038\u101b\u1014\u103a \u1021\u1031\u102c\u1000\u103a\u1015\u102b syntax \u1000\u102d\u102f \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u1014\u102d\u102f\u1004\u103a\u1015\u102b\u101e\u100a\u103a\u104b<\/span> <\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008000;\">import<\/span> matplotlib. <span style=\"color: #008000;\"><span style=\"color: #3366ff;\">pyplot<\/span> as<\/span> plt\n\n<span style=\"color: #008080;\">#create scatterplot of hours vs. score<\/span>\nplt. <span style=\"color: #3366ff;\">scatter<\/span> (df. <span style=\"color: #3366ff;\">hours<\/span> , df. <span style=\"color: #3366ff;\">score<\/span> )\nplt. <span style=\"color: #3366ff;\">title<\/span> (' <span style=\"color: #ff0000;\">Hours Studied vs. Exam Score<\/span> ')\nplt. <span style=\"color: #3366ff;\">xlabel<\/span> (' <span style=\"color: #ff0000;\">Hours Studied<\/span> ')\nplt. <span style=\"color: #3366ff;\">ylabel<\/span> (' <span style=\"color: #ff0000;\">Exam Score<\/span> ')\n<\/strong><\/pre>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-22049 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/bivpython1.png\" alt=\"\" width=\"526\" height=\"365\" srcset=\"\" sizes=\"\"><\/p>\n<p> <span style=\"color: #000000;\">x-axis \u101e\u100a\u103a \u101c\u1031\u1037\u101c\u102c\u1011\u102c\u1038\u101e\u1031\u102c\u1014\u102c\u101b\u102e\u1019\u103b\u102c\u1038\u1000\u102d\u102f\u1015\u103c\u101e\u1015\u103c\u102e\u1038 y-axis \u101e\u100a\u103a \u1005\u102c\u1019\u1031\u1038\u1015\u103d\u1032\u1010\u103d\u1004\u103a\u101b\u101b\u103e\u102d\u101e\u1031\u102c\u1021\u1006\u1004\u1037\u103a\u1000\u102d\u102f\u1015\u103c\u101e\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1000\u102d\u1014\u103a\u1038\u101b\u103e\u1004\u103a\u1014\u103e\u1005\u103a\u1001\u102f\u1000\u103c\u102c\u1038\u1010\u103d\u1004\u103a \u1021\u1015\u103c\u102f\u101e\u1018\u1031\u102c\u1006\u1031\u102c\u1004\u103a\u101e\u1031\u102c \u1006\u1000\u103a\u1014\u103d\u101a\u103a\u1019\u103e\u102f\u101b\u103e\u102d\u1000\u103c\u1031\u102c\u1004\u103a\u1038 \u1002\u101b\u1015\u103a\u1000 \u1016\u1031\u102c\u103a\u1015\u103c\u101e\u100a\u103a- \u101c\u1031\u1037\u101c\u102c\u1019\u103e\u102f \u1014\u102c\u101b\u102e\u1021\u101b\u1031\u1021\u1010\u103d\u1000\u103a \u1010\u102d\u102f\u1038\u101c\u102c\u101e\u100a\u103a\u1014\u103e\u1004\u1037\u103a\u1021\u1019\u103b\u103e \u1005\u102c\u1019\u1031\u1038\u1015\u103d\u1032\u101b\u1019\u103e\u1010\u103a\u1019\u103b\u102c\u1038\u101c\u100a\u103a\u1038 \u1010\u102d\u102f\u1038\u101c\u102c\u1010\u1010\u103a\u101e\u100a\u103a\u104b<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>2. \u1006\u1000\u103a\u1005\u1015\u103a\u1000\u102d\u1014\u103a\u1038\u1019\u103b\u102c\u1038<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Pearson \u1006\u1000\u103a\u1005\u1015\u103a\u1006\u1000\u103a\u1005\u1015\u103a\u1000\u102d\u1014\u103a\u1038\u1010\u1005\u103a\u1001\u102f\u101e\u100a\u103a \u1000\u102d\u1014\u103a\u1038\u101b\u103e\u1004\u103a\u1014\u103e\u1005\u103a\u1001\u102f\u1000\u103c\u102c\u1038\u101b\u103e\u102d \u1019\u103b\u1009\u103a\u1038\u1000\u103c\u1031\u102c\u1004\u103a\u1038\u1006\u1000\u103a\u1014\u103d\u101a\u103a\u1019\u103e\u102f\u1000\u102d\u102f \u1010\u103d\u1000\u103a\u1006\u101b\u1014\u103a\u1014\u100a\u103a\u1038\u101c\u1019\u103a\u1038\u1010\u1005\u103a\u1001\u102f\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1006\u1000\u103a\u1005\u1015\u103a\u1019\u1000\u103a\u1011\u101b\u1005\u103a\u1000\u102d\u102f\u1016\u1014\u103a\u1010\u102e\u1038\u101b\u1014\u103a \u1015\u1014\u103a\u1012\u102b\u1019\u103b\u102c\u1038\u101b\u103e\u102d <strong>corr()<\/strong> \u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1001\u103b\u1000\u103a\u1000\u102d\u102f \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u1014\u102d\u102f\u1004\u103a\u101e\u100a\u103a-<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#create correlation matrix\n<\/span>df. <span style=\"color: #3366ff;\">corr<\/span> ()\n\n\thours score\nhours 1.000000 0.891306\nscore 0.891306 1.000000<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">\u1006\u1000\u103a\u1005\u1015\u103a\u1000\u102d\u1014\u103a\u1038\u1002\u100f\u1014\u103a\u1038\u101e\u100a\u103a <strong>0.891<\/strong> \u1016\u103c\u1005\u103a\u101c\u102c\u101e\u100a\u103a\u104b \u104e\u1004\u103a\u1038\u101e\u100a\u103a<\/span> <span style=\"color: #000000;\">\u101c\u1031\u1037\u101c\u102c\u101e\u100a\u1037\u103a\u1014\u102c\u101b\u102e\u1014\u103e\u1004\u1037\u103a \u1005\u102c\u1019\u1031\u1038\u1015\u103d\u1032\u1021\u1006\u1004\u1037\u103a\u1000\u103c\u102c\u1038 \u1001\u102d\u102f\u1004\u103a\u1019\u102c\u101e\u1031\u102c \u1021\u1015\u103c\u102f\u101e\u1018\u1031\u102c\u1006\u1031\u102c\u1004\u103a\u101e\u1031\u102c \u1006\u1000\u103a\u1005\u1015\u103a\u1019\u103e\u102f\u1000\u102d\u102f \u100a\u103d\u103e\u1014\u103a\u1015\u103c\u101e\u100a\u103a\u104b<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>3. \u101b\u102d\u102f\u1038\u101b\u103e\u1004\u103a\u1038\u101e\u1031\u102c\u1019\u103b\u1009\u103a\u1038\u1000\u103c\u1031\u102c\u1004\u103a\u1038\u1006\u102f\u1010\u103a\u101a\u102f\u1010\u103a\u1019\u103e\u102f<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">\u101b\u102d\u102f\u1038\u101b\u103e\u1004\u103a\u1038\u101e\u1031\u102c linear regression \u101e\u100a\u103a variable \u1014\u103e\u1005\u103a\u1001\u102f\u1000\u103c\u102c\u1038\u101b\u103e\u102d \u1006\u1000\u103a\u1014\u103d\u101a\u103a\u1019\u103e\u102f\u1000\u102d\u102f \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u101b\u1014\u103a\u1021\u1010\u103d\u1000\u103a \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u1014\u102d\u102f\u1004\u103a\u101e\u1031\u102c \u1000\u102d\u1014\u103a\u1038\u1002\u100f\u1014\u103a\u1038\u1006\u102d\u102f\u1004\u103a\u101b\u102c \u1014\u100a\u103a\u1038\u101c\u1019\u103a\u1038\u1010\u1005\u103a\u1001\u102f\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1014\u102c\u101b\u102e\u1015\u1031\u102b\u1004\u103a\u1038\u1019\u103b\u102c\u1038\u1005\u103d\u102c \u101c\u1031\u1037\u101c\u102c\u1015\u103c\u102e\u1038 \u101b\u101b\u103e\u102d\u101c\u102c\u101e\u1031\u102c \u1005\u102c\u1019\u1031\u1038\u1015\u103d\u1032\u101b\u101c\u1012\u103a\u1019\u103b\u102c\u1038\u1000\u102d\u102f <a href=\"https:\/\/statorials.org\/my\/python-\u1010\u103d\u1004\u103a-\u101b\u102d\u102f\u1038\u101b\u103e\u1004\u103a\u1038\u101e\u1031\u102c-linear-regression\/\" target=\"_blank\" rel=\"noopener\">\u101b\u102d\u102f\u1038\u101b\u103e\u1004\u103a\u1038\u101e\u1031\u102c linear regression model \u1014\u103e\u1004\u1037\u103a<\/a> \u1021\u1019\u103c\u1014\u103a\u1000\u102d\u102f\u1000\u103a\u100a\u102e\u101b\u1014\u103a statsmodels package \u1019\u103e <strong>OLS()<\/strong> \u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1001\u103b\u1000\u103a\u1000\u102d\u102f \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u1014\u102d\u102f\u1004\u103a\u1015\u102b\u101e\u100a\u103a\u104b<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008000;\">import<\/span> statsmodels. <span style=\"color: #3366ff;\">api<\/span> <span style=\"color: #008000;\">as<\/span> sm\n\n<span style=\"color: #008080;\">#define response variable\n<\/span>y = df[' <span style=\"color: #ff0000;\">score<\/span> ']\n\n<span style=\"color: #008080;\">#define explanatory variable\n<\/span>x = df[[' <span style=\"color: #ff0000;\">hours<\/span> ']]\n\n<span style=\"color: #008080;\">#add constant to predictor variables\n<\/span>x = sm. <span style=\"color: #3366ff;\">add_constant<\/span> (x)\n\n<span style=\"color: #008080;\">#fit linear regression model\n<\/span>model = sm. <span style=\"color: #3366ff;\">OLS<\/span> (y,x). <span style=\"color: #3366ff;\">fit<\/span> ()\n\n<span style=\"color: #008080;\">#view model summary\n<\/span><span style=\"color: #008000;\">print<\/span> ( <span style=\"color: #3366ff;\">model.summary<\/span> ())\n\n                            OLS Regression Results                            \n==================================================== ============================\nDept. Variable: R-squared score: 0.794\nModel: OLS Adj. R-squared: 0.783\nMethod: Least Squares F-statistic: 69.56\nDate: Mon, 22 Nov 2021 Prob (F-statistic): 1.35e-07\nTime: 16:15:52 Log-Likelihood: -55,886\nNo. Observations: 20 AIC: 115.8\nDf Residuals: 18 BIC: 117.8\nModel: 1                                         \nCovariance Type: non-robust                                         \n==================================================== ============================\n                 coef std err t P&gt;|t| [0.025 0.975]\n-------------------------------------------------- ----------------------------\nconst 69.0734 1.965 35.149 0.000 64.945 73.202\nhours 3.8471 0.461 8.340 0.000 2.878 4.816\n==================================================== ============================\nOmnibus: 0.171 Durbin-Watson: 1.404\nProb(Omnibus): 0.918 Jarque-Bera (JB): 0.177\nSkew: 0.165 Prob(JB): 0.915\nKurtosis: 2.679 Cond. No. 9.37\n==================================================== ============================\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">\u1010\u1015\u103a\u1006\u1004\u103a\u1011\u102c\u1038\u101e\u1031\u102c \u1006\u102f\u1010\u103a\u101a\u102f\u1010\u103a\u1019\u103e\u102f\u100a\u102e\u1019\u103b\u103e\u1001\u103c\u1004\u103a\u1038\u1019\u103e\u102c-<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1005\u102c\u1019\u1031\u1038\u1015\u103d\u1032\u101b\u1019\u103e\u1010\u103a = 69.0734 + 3.8471*(\u1005\u102c\u101e\u1004\u103a\u1001\u103b\u102d\u1014\u103a)<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1011\u1015\u103a\u101c\u1031\u102c\u1004\u103a\u1038\u101c\u1031\u1037\u101c\u102c\u1011\u102c\u1038\u101e\u1031\u102c\u1014\u102c\u101b\u102e\u1010\u102d\u102f\u1004\u103a\u1038\u101e\u100a\u103a \u1005\u102c\u1019\u1031\u1038\u1015\u103d\u1032\u101b\u1019\u103e\u1010\u103a\u1010\u103d\u1004\u103a \u1015\u103b\u1019\u103a\u1038\u1019\u103b\u103e <strong>3.8471<\/strong> \u1010\u102d\u102f\u1038\u101c\u102c\u1001\u103c\u1004\u103a\u1038\u1014\u103e\u1004\u1037\u103a \u1006\u1000\u103a\u1005\u1015\u103a\u1014\u1031\u1000\u103c\u1031\u102c\u1004\u103a\u1038 \u104e\u1004\u103a\u1038\u1000\u1006\u102d\u102f\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1000\u103b\u1031\u102c\u1004\u103a\u1038\u101e\u102c\u1038\u1010\u1005\u103a\u1026\u1038\u101b\u101b\u103e\u102d\u1019\u100a\u1037\u103a\u101b\u1019\u103e\u1010\u103a\u1000\u102d\u102f \u1001\u1014\u1037\u103a\u1019\u103e\u1014\u103a\u1038\u101b\u1014\u103a \u1010\u1015\u103a\u1006\u1004\u103a\u1011\u102c\u1038\u101e\u100a\u1037\u103a \u1006\u102f\u1010\u103a\u101a\u102f\u1010\u103a\u1019\u103e\u102f\u100a\u102e\u1019\u103b\u103e\u1001\u103c\u1004\u103a\u1038\u1000\u102d\u102f\u101c\u100a\u103a\u1038 \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u104d \u101c\u1031\u1037\u101c\u102c\u1001\u1032\u1037\u101e\u100a\u1037\u103a \u1005\u102f\u1005\u102f\u1015\u1031\u102b\u1004\u103a\u1038\u1014\u102c\u101b\u102e\u1021\u101b\u1031\u1021\u1010\u103d\u1000\u103a\u1021\u1015\u1031\u102b\u103a \u1019\u1030\u1010\u100a\u103a\u104d \u1000\u103b\u1031\u102c\u1004\u103a\u1038\u101e\u102c\u1038\u1010\u1005\u103a\u1026\u1038\u101b\u101b\u103e\u102d\u1019\u100a\u1037\u103a\u101b\u1019\u103e\u1010\u103a\u1000\u102d\u102f \u1001\u1014\u1037\u103a\u1019\u103e\u1014\u103a\u1038\u1014\u102d\u102f\u1004\u103a\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1025\u1015\u1019\u102c\u1021\u102c\u1038\u1016\u103c\u1004\u1037\u103a\u104a \u1043 \u1014\u102c\u101b\u102e\u1005\u102c\u101c\u1031\u1037\u101c\u102c\u101e\u1031\u102c \u1000\u103b\u1031\u102c\u1004\u103a\u1038\u101e\u102c\u1038\u101e\u100a\u103a \u101b\u1019\u103e\u1010\u103a <strong>81.6147<\/strong> \u101b\u101e\u1004\u1037\u103a\u101e\u100a\u103a \u104b<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">\u1005\u102c\u1019\u1031\u1038\u1015\u103d\u1032\u101b\u1019\u103e\u1010\u103a = 69.0734 + 3.8471*(\u1005\u102c\u101e\u1004\u103a\u1001\u103b\u102d\u1014\u103a)<\/span><\/li>\n<li> <span style=\"color: #000000;\">\u1005\u102c\u1019\u1031\u1038\u1015\u103d\u1032\u101b\u1019\u103e\u1010\u103a = 69.0734 + 3.8471*(3)<\/span><\/li>\n<li> <span style=\"color: #000000;\">\u1005\u102c\u1019\u1031\u1038\u1015\u103d\u1032\u101b\u101c\u1012\u103a = 81.6147<\/span><\/li>\n<\/ul>\n<h3> <span style=\"color: #000000;\"><strong>\u1011\u1015\u103a\u101c\u1031\u102c\u1004\u103a\u1038\u1021\u101b\u1004\u103a\u1038\u1021\u1019\u103c\u1005\u103a\u1019\u103b\u102c\u1038<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">\u1021\u1031\u102c\u1000\u103a\u1016\u1031\u102c\u103a\u1015\u103c\u1015\u102b \u101e\u1004\u103a\u1001\u1014\u103a\u1038\u1005\u102c\u1019\u103b\u102c\u1038\u101e\u100a\u103a bivariate \u1001\u103d\u1032\u1001\u103c\u1019\u103a\u1038\u1005\u102d\u1010\u103a\u1016\u103c\u102c\u1001\u103c\u1004\u103a\u1038\u1006\u102d\u102f\u1004\u103a\u101b\u102c \u1014\u1031\u102c\u1000\u103a\u1011\u1015\u103a\u1021\u1001\u103b\u1000\u103a\u1021\u101c\u1000\u103a\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1015\u1031\u1038\u1006\u1031\u102c\u1004\u103a\u101e\u100a\u103a-<\/span><\/p>\n<p> <a href=\"https:\/\/statorials.org\/my\/bivariate-\u1001\u103d\u1032\u1001\u103c\u1019\u103a\u1038\u1005\u102d\u1010\u103a\u1016\u103c\u102c\/\" target=\"_blank\" rel=\"noopener\">Bivariate \u1001\u103d\u1032\u1001\u103c\u1019\u103a\u1038\u1005\u102d\u1010\u103a\u1016\u103c\u102c\u1001\u103c\u1004\u103a\u1038\u1021\u1010\u103d\u1000\u103a \u1014\u102d\u1012\u102b\u1014\u103a\u1038<\/a><br \/> <a href=\"https:\/\/statorials.org\/my\/bivariate-data-\u1021\u1005\u1005\u103a\u1021\u1019\u103e\u1014\u103a-\u1025\u1015\u1019\u102c\u1019\u103b\u102c\u1038\/\" target=\"_blank\" rel=\"noopener\">\u101c\u1000\u103a\u1010\u103d\u1031\u1037\u1018\u101d\u1010\u103d\u1004\u103a bivariate data \u1014\u1019\u1030\u1014\u102c \u1045 \u1001\u102f<\/a><br \/> <a href=\"https:\/\/statorials.org\/my\/linear-\u1006\u102f\u1010\u103a\u101a\u102f\u1010\u103a\u1019\u103e\u102f-\u1041\/\" target=\"_blank\" rel=\"noopener\">Simple Linear Regression \u1014\u102d\u1012\u102b\u1014\u103a\u1038<\/a><br \/> <a href=\"https:\/\/statorials.org\/my\/pearson-\u1006\u1000\u103a\u1005\u1015\u103a\u1000\u102d\u1014\u103a\u1038-\u1041\/\" target=\"_blank\" rel=\"noopener\">Pearson Correlation Coefficient \u1014\u102d\u1012\u102b\u1014\u103a\u1038<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>bivariate analysis \u101f\u1030\u101e\u1031\u102c \u101d\u1031\u102b\u101f\u102c\u101b\u101e\u100a\u103a \u1000\u102d\u1014\u103a\u1038\u101b\u103e\u1004\u103a\u1014\u103e\u1005\u103a\u1001\u102f\u104f \u1001\u103d\u1032\u1001\u103c\u1019\u103a\u1038\u1005\u102d\u1010\u103a\u1016\u103c\u102c\u1019\u103e\u102f\u1000\u102d\u102f \u101b\u100a\u103a\u100a\u103d\u103e\u1014\u103a\u1038\u101e\u100a\u103a\u104b \u101b\u103e\u1031\u1037\u1006\u1000\u103a &#8220; bi&#8221; \u101e\u100a\u103a &#8220; \u1014\u103e\u1005\u103a\u1001\u102f&#8221; \u1016\u103c\u1005\u103a\u101e\u1031\u102c\u1000\u103c\u1031\u102c\u1004\u1037\u103a\u104e\u1004\u103a\u1038\u1000\u102d\u102f\u101e\u1004\u103a\u1019\u103e\u1010\u103a\u1019\u102d\u1014\u102d\u102f\u1004\u103a\u101e\u100a\u103a\u104b bivariate \u1001\u103d\u1032\u1001\u103c\u1019\u103a\u1038\u1005\u102d\u1010\u103a\u1016\u103c\u102c\u1001\u103c\u1004\u103a\u1038\u104f\u1015\u1014\u103a\u1038\u1010\u102d\u102f\u1004\u103a\u1019\u103e\u102c variable \u1014\u103e\u1005\u103a\u1001\u102f\u1000\u103c\u102c\u1038\u101b\u103e\u102d \u1006\u1000\u103a\u1014\u103d\u101a\u103a\u1019\u103e\u102f\u1000\u102d\u102f \u1014\u102c\u1038\u101c\u100a\u103a\u101b\u1014\u103a\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b bivariate \u1001\u103d\u1032\u1001\u103c\u1019\u103a\u1038\u1005\u102d\u1010\u103a\u1016\u103c\u102c\u1019\u103e\u102f\u1000\u102d\u102f \u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u101b\u1014\u103a \u1018\u102f\u1036\u1014\u100a\u103a\u1038\u101c\u1019\u103a\u1038\u101e\u102f\u1036\u1038\u1019\u103b\u102d\u102f\u1038\u101b\u103e\u102d\u101e\u100a\u103a\u104b 1. \u1010\u102d\u1019\u103a\u100a\u103d\u103e\u1014\u103a 2. \u1006\u1000\u103a\u1005\u1015\u103a\u1000\u102d\u1014\u103a\u1038\u1019\u103b\u102c\u1038 3. \u101b\u102d\u102f\u1038\u101b\u103e\u1004\u103a\u1038\u101e\u1031\u102c\u1019\u103b\u1009\u103a\u1038\u1000\u103c\u1031\u102c\u1004\u103a\u1038\u1006\u102f\u1010\u103a\u101a\u102f\u1010\u103a\u1019\u103e\u102f \u1021\u1031\u102c\u1000\u103a\u1015\u102b\u1025\u1015\u1019\u102c\u101e\u100a\u103a \u1000\u102d\u1014\u103a\u1038\u101b\u103e\u1004\u103a\u1014\u103e\u1005\u103a\u1001\u102f\u1021\u1000\u103c\u1031\u102c\u1004\u103a\u1038 \u1021\u1001\u103b\u1000\u103a\u1021\u101c\u1000\u103a\u1015\u102b\u101b\u103e\u102d\u101e\u1031\u102c \u1021\u1031\u102c\u1000\u103a\u1015\u102b pandas DataFrame \u1000\u102d\u102f\u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u104d Python \u1010\u103d\u1004\u103a \u1024 bivariate \u1001\u103d\u1032\u1001\u103c\u1019\u103a\u1038\u1005\u102d\u1010\u103a\u1016\u103c\u102c\u1019\u103e\u102f\u1021\u1019\u103b\u102d\u102f\u1038\u1021\u1005\u102c\u1038\u1010\u1005\u103a\u1001\u102f\u1005\u102e\u1000\u102d\u102f \u1019\u100a\u103a\u101e\u102d\u102f\u1037\u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u101b\u1019\u100a\u103a\u1000\u102d\u102f \u1015\u103c\u101e\u101e\u100a\u103a- (1) \u101c\u1031\u1037\u101c\u102c\u1001\u103b\u102d\u1014\u103a\u1014\u102c\u101b\u102e\u1019\u103b\u102c\u1038\u1014\u103e\u1004\u1037\u103a (2) \u1019\u1010\u1030\u100a\u102e\u101e\u1031\u102c\u1000\u103b\u1031\u102c\u1004\u103a\u1038\u101e\u102c\u1038 20 \u1019\u103e\u101b\u101b\u103e\u102d\u101e\u1031\u102c \u1005\u102c\u1019\u1031\u1038\u1015\u103d\u1032\u101b\u1019\u103e\u1010\u103a- import pandas as pd [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[3],"tags":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.5 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Python \u1010\u103d\u1004\u103a Bivariate \u1001\u103d\u1032\u1001\u103c\u1019\u103a\u1038\u1005\u102d\u1010\u103a\u1016\u103c\u102c\u1014\u100a\u103a\u1038 (\u1025\u1015\u1019\u102c\u1019\u103b\u102c\u1038\u1014\u103e\u1004\u1037\u103a\u1021\u1010\u1030) - Statology<\/title>\n<meta name=\"description\" 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