{"id":982,"date":"2023-07-28T02:35:28","date_gmt":"2023-07-28T02:35:28","guid":{"rendered":"https:\/\/statorials.org\/my\/quadratic-regression-python\/"},"modified":"2023-07-28T02:35:28","modified_gmt":"2023-07-28T02:35:28","slug":"quadratic-regression-python","status":"publish","type":"post","link":"https:\/\/statorials.org\/my\/quadratic-regression-python\/","title":{"rendered":"Python \u1010\u103d\u1004\u103a quadratic regression \u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1014\u100a\u103a\u1038"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><strong>Quadratic regression<\/strong> \u101e\u100a\u103a \u1002\u101b\u1015\u103a\u1010\u1005\u103a\u1001\u102f\u1015\u1031\u102b\u103a\u101b\u103e\u102d &#8220; U&#8221;  \u101e\u102d\u102f\u1037\u1019\u101f\u102f\u1010\u103a \u1015\u103c\u1031\u102c\u1004\u103a\u1038\u1015\u103c\u1014\u103a &#8220; U&#8221;  \u1000\u1032\u1037\u101e\u102d\u102f\u1037\u1016\u103c\u1005\u103a\u1014\u102d\u102f\u1004\u103a\u101e\u100a\u103a\u101f\u1030\u101e\u1031\u102c \u1006\u1000\u103a\u1005\u1015\u103a\u1019\u103e\u102f\u1021\u1005\u1005\u103a\u1021\u1019\u103e\u1014\u103a\u1019\u103b\u102c\u1038\u101e\u100a\u103a \u101c\u1031\u1038\u1011\u1031\u102c\u1004\u1037\u103a\u1015\u102f\u1036\u101e\u100f\u1039\u100d\u102c\u1014\u103a\u1016\u103c\u1005\u103a\u101e\u100a\u1037\u103a\u1021\u1001\u102b \u1000\u103c\u102d\u102f\u1010\u1004\u103a\u1001\u1014\u1037\u103a\u1019\u103e\u1014\u103a\u1038\u1000\u102d\u1014\u103a\u1038\u101b\u103e\u1004\u103a\u1014\u103e\u1004\u1037\u103a \u1010\u102f\u1036\u1037\u1015\u103c\u1014\u103a\u1019\u103e\u102f\u1000\u102d\u1014\u103a\u1038\u101b\u103e\u1004\u103a\u1000\u103c\u102c\u1038\u1006\u1000\u103a\u1006\u1036\u101b\u1031\u1038\u1000\u102d\u102f \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u101b\u1014\u103a \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\u1031\u102c \u1006\u102f\u1010\u103a\u101a\u102f\u1010\u103a\u1019\u103e\u102f\u1021\u1019\u103b\u102d\u102f\u1038\u1021\u1005\u102c\u1038\u1010\u1005\u103a\u1001\u102f\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1006\u102d\u102f\u101c\u102d\u102f\u101e\u100a\u103a\u1019\u103e\u102c \u1001\u1014\u1037\u103a\u1019\u103e\u1014\u103a\u1038\u101e\u1030\u1000\u102d\u1014\u103a\u1038\u101b\u103e\u1004\u103a \u1010\u102d\u102f\u1038\u101c\u102c\u101e\u100a\u103a\u1014\u103e\u1004\u1037\u103a\u1021\u1019\u103b\u103e\u104a \u1010\u102f\u1036\u1037\u1015\u103c\u1014\u103a\u1019\u103e\u102f\u1000\u102d\u1014\u103a\u1038\u101b\u103e\u1004\u103a\u101e\u100a\u103a \u1010\u102d\u102f\u1038\u101c\u102c\u1010\u1010\u103a\u101e\u100a\u103a\u104a \u101e\u102d\u102f\u1037\u101e\u1031\u102c\u103a \u1001\u1014\u1037\u103a\u1019\u103e\u1014\u103a\u1038\u1001\u103b\u1000\u103a\u1000\u102d\u1014\u103a\u1038\u101b\u103e\u1004\u103a\u101e\u100a\u103a \u1006\u1000\u103a\u101c\u1000\u103a\u1010\u102d\u102f\u1038\u101c\u102c\u101e\u1031\u102c\u1000\u103c\u1031\u102c\u1004\u1037\u103a \u1010\u102f\u1036\u1037\u1015\u103c\u1014\u103a\u1019\u103e\u102f\u1000\u102d\u1014\u103a\u1038\u101b\u103e\u1004\u103a\u101e\u100a\u103a \u1000\u103b\u1006\u1004\u103a\u1038\u101e\u103d\u102c\u1038\u1015\u102b\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1024\u101e\u1004\u103a\u1001\u1014\u103a\u1038\u1005\u102c\u1010\u103d\u1004\u103a Python \u1010\u103d\u1004\u103a \u101c\u1031\u1038\u1015\u102f\u1036\u1010\u1015\u102f\u1036 \u1006\u102f\u1010\u103a\u101a\u102f\u1010\u103a\u1019\u103e\u102f\u1021\u102c\u1038 \u1019\u100a\u103a\u101e\u102d\u102f\u1037\u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u101b\u1019\u100a\u103a\u1000\u102d\u102f \u101b\u103e\u1004\u103a\u1038\u1015\u103c\u1011\u102c\u1038\u101e\u100a\u103a\u104b<\/span><\/p>\n<h2> <strong><span style=\"color: #000000;\">\u1025\u1015\u1019\u102c- Python \u101b\u103e\u102d Quadratic Regression<\/span><\/strong><\/h2>\n<p> <span style=\"color: #000000;\">\u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u1010\u103d\u1004\u103a \u1010\u1005\u103a\u1015\u1010\u103a\u101c\u103b\u103e\u1004\u103a \u1021\u101c\u102f\u1015\u103a\u101c\u102f\u1015\u103a\u101e\u1031\u102c \u1014\u102c\u101b\u102e\u1021\u101b\u1031\u1021\u1010\u103d\u1000\u103a\u1014\u103e\u1004\u1037\u103a \u1015\u1010\u103a\u101e\u1000\u103a\u101e\u1031\u102c \u1012\u1031\u1010\u102c\u101b\u103e\u102d\u1015\u103c\u102e\u1038 \u101c\u1030 16 \u1026\u1038\u1021\u1010\u103d\u1000\u103a \u1015\u103b\u1031\u102c\u103a\u101b\u103d\u103e\u1004\u103a\u1019\u103e\u102f\u1021\u1006\u1004\u1037\u103a (0 \u1019\u103e 100 \u1021\u1011\u102d) \u1021\u1005\u102e\u101b\u1004\u103a\u1001\u1036\u101e\u100a\u103a\u1006\u102d\u102f\u1015\u102b\u1005\u102d\u102f\u1037\u104b<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #107d3f;\">import<\/span> numpy <span style=\"color: #107d3f;\">as<\/span> np\n<span style=\"color: #107d3f;\">import<\/span> scipy.stats <span style=\"color: #107d3f;\">as<\/span> stats\n\n<span style=\"color: #008080;\">#define variables<\/span>\nhours = [6, 9, 12, 12, 15, 21, 24, 24, 27, 30, 36, 39, 45, 48, 57, 60]\nhapp = [12, 18, 30, 42, 48, 78, 90, 96, 96, 90, 84, 78, 66, 54, 36, 24]<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">\u1024\u1012\u1031\u1010\u102c\u104f \u101b\u102d\u102f\u1038\u101b\u103e\u1004\u103a\u1038\u101e\u1031\u102c \u1001\u103d\u1032\u1001\u103c\u1019\u103a\u1038\u1005\u102d\u1010\u103a\u1016\u103c\u102c\u1019\u103e\u102f\u1000\u102d\u102f \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u1015\u103c\u102f\u101c\u102f\u1015\u103a\u1015\u102b\u1000\u104a \u1000\u102d\u1014\u103a\u1038\u101b\u103e\u1004\u103a\u1014\u103e\u1005\u103a\u1001\u102f\u1000\u103c\u102c\u1038\u101b\u103e\u102d \u1006\u1000\u103a\u1014\u103d\u101a\u103a\u1019\u103e\u102f\u1019\u103e\u102c &#8220; U&#8221;  \u1015\u102f\u1036\u101e\u100f\u1039\u100d\u102c\u1014\u103a\u1016\u103c\u1005\u103a\u101e\u100a\u103a-<\/span> <\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #107d3f;\">import <span style=\"color: #000000;\">matplotlib.pyplot<\/span> as <span style=\"color: #000000;\">plt<\/span>\n\n<span style=\"color: #000000;\"><span style=\"color: #008080;\">#create scatterplot\n<\/span>plt.scatter(hours, happ)<\/span><\/span><\/strong> <\/pre>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-10240 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/quadregpython1.png\" alt=\"\" width=\"376\" height=\"248\" srcset=\"\" sizes=\"\"><\/p>\n<p> <span style=\"color: #000000;\">\u1021\u101c\u102f\u1015\u103a\u1001\u103b\u102d\u1014\u103a\u1019\u103b\u102c\u1038\u101c\u102c\u101e\u100a\u103a\u1014\u103e\u1004\u1037\u103a\u1021\u1019\u103b\u103e \u1015\u103b\u1031\u102c\u103a\u101b\u103d\u103e\u1004\u103a\u1019\u103e\u102f\u101c\u100a\u103a\u1038 \u1010\u102d\u102f\u1038\u101c\u102c\u101e\u1031\u102c\u103a\u101c\u100a\u103a\u1038 \u1010\u1005\u103a\u1015\u1010\u103a\u101c\u103b\u103e\u1004\u103a \u1021\u101c\u102f\u1015\u103a\u1001\u103b\u102d\u1014\u103a \u1043\u1045 \u1014\u102c\u101b\u102e\u1011\u1000\u103a\u1000\u103b\u1031\u102c\u103a\u101c\u103d\u1014\u103a\u101c\u102c\u101e\u100a\u103a\u1014\u103e\u1004\u1037\u103a\u1021\u1019\u103b\u103e \u1015\u103b\u1031\u102c\u103a\u101b\u103d\u103e\u1004\u103a\u1019\u103e\u102f \u101c\u103b\u1031\u102c\u1037\u1014\u100a\u103a\u1038\u101c\u102c\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1024 &#8220; U&#8221;  \u1015\u102f\u1036\u101e\u100f\u1039\u100d\u102c\u1014\u103a\u1000\u103c\u1031\u102c\u1004\u1037\u103a\u104a \u1006\u102d\u102f\u101c\u102d\u102f\u101e\u100a\u103a\u1019\u103e\u102c \u101c\u1031\u1038\u1015\u102f\u1036\u1010\u1015\u102f\u1036 \u1006\u102f\u1010\u103a\u101a\u102f\u1010\u103a\u1019\u103e\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 \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 \u1000\u1031\u102c\u1004\u103a\u1038\u1019\u103d\u1014\u103a\u101e\u1031\u102c \u1000\u102d\u102f\u101a\u103a\u1005\u102c\u1038\u101c\u103e\u101a\u103a\u101c\u1031\u102c\u1004\u103a\u1038 \u1016\u103c\u1005\u103a\u1014\u102d\u102f\u1004\u103a\u101e\u100a\u103a\u101f\u102f \u1006\u102d\u102f\u101c\u102d\u102f\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> quadratic regression \u1000\u102d\u102f \u1021\u1019\u103e\u1014\u103a\u1010\u1000\u101a\u103a\u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u101b\u1014\u103a\u104a <a href=\"https:\/\/numpy.org\/doc\/stable\/reference\/generated\/numpy.polyfit.html\" target=\"_blank\" rel=\"noopener noreferrer\">numpy.polyfit()<\/a> <span style=\"color: #000000;\">\u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1001\u103b\u1000\u103a\u1000\u102d\u102f<\/span> <span style=\"color: #000000;\">\u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u104d \u1012\u102e\u1002\u101b\u102e 2 \u101b\u103e\u102d\u101e\u100a\u1037\u103a \u1015\u1031\u102b\u101c\u102e\u1014\u102d\u102f\u1019\u102e\u1038\u101a\u102c\u1038 \u1006\u102f\u1010\u103a\u101a\u102f\u1010\u103a\u1019\u103e\u102f\u1015\u102f\u1036\u1005\u1036\u1000\u102d\u102f \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037 \u1010\u1015\u103a\u1006\u1004\u103a\u1014\u102d\u102f\u1004\u103a\u101e\u100a\u103a<\/span> \u104b <\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #107d3f;\">import<\/span> numpy <span style=\"color: #107d3f;\">as<\/span> np\n\n<span style=\"color: #008080;\">#polynomial fit with degree = 2\n<\/span>model = np.poly1d(np.polyfit(hours, happ, 2))\n\n<span style=\"color: #008080;\">#add fitted polynomial line to scatterplot\n<\/span>polyline = np.linspace(1, 60, 50)\nplt.scatter(hours, happ)\nplt.plot(polyline, model(polyline))\nplt.show()<\/strong> <\/pre>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-10242\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/quadregpython2.png\" alt=\"Python \u101b\u103e\u102d Quadratic Regression\" width=\"412\" height=\"273\" srcset=\"\" sizes=\"\"><\/p>\n<p> <span style=\"color: #000000;\">\u1019\u1031\u102c\u103a\u1012\u101a\u103a coefficients \u1000\u102d\u102f \u101b\u102d\u102f\u1000\u103a\u1014\u103e\u102d\u1015\u103a\u1001\u103c\u1004\u103a\u1038\u1016\u103c\u1004\u1037\u103a \u1010\u1015\u103a\u1006\u1004\u103a\u1011\u102c\u1038\u101e\u1031\u102c polynomial regression equation \u1000\u102d\u102f \u101b\u101a\u1030\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: #993300;\">print<\/span> (model)\n\n-0.107x <sup>2<\/sup> + 7.173x - 30.25\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">\u1010\u1015\u103a\u1006\u1004\u103a\u1011\u102c\u1038\u101e\u1031\u102c \u101c\u1031\u1038\u1011\u1031\u102c\u1004\u1037\u103a\u1000\u102d\u1014\u103a\u1038\u1002\u100f\u1014\u103a\u1038 \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;\"><strong>\u1015\u103b\u1031\u102c\u103a\u101b\u103d\u103e\u1004\u103a\u1019\u103e\u102f = -0.107(\u1014\u102c\u101b\u102e) <sup>2<\/sup> + 7.173(\u1014\u102c\u101b\u102e) \u2013 30.25<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1021\u101c\u102f\u1015\u103a\u1001\u103b\u102d\u1014\u103a\u1015\u1031\u102b\u103a\u1019\u1030\u1010\u100a\u103a\u104d \u101c\u1030\u1010\u1005\u103a\u1026\u1038\u1001\u103b\u1004\u103a\u1038\u1005\u102e\u104f \u1019\u103b\u103e\u1031\u102c\u103a\u101c\u1004\u1037\u103a\u1011\u102c\u1038\u101e\u1031\u102c \u1015\u103b\u1031\u102c\u103a\u101b\u103d\u103e\u1004\u103a\u1019\u103e\u102f\u1021\u1006\u1004\u1037\u103a\u1000\u102d\u102f \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u101b\u1014\u103a \u1024\u100a\u102e\u1019\u103b\u103e\u1001\u103c\u1004\u103a\u1038\u1021\u102c\u1038 \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\u1015\u102b\u101e\u100a\u103a\u104b \u1025\u1015\u1019\u102c\u1021\u102c\u1038\u1016\u103c\u1004\u1037\u103a\u104a \u1010\u1005\u103a\u1015\u1010\u103a\u101c\u103b\u103e\u1004\u103a \u1014\u102c\u101b\u102e 30 \u1021\u101c\u102f\u1015\u103a\u101c\u102f\u1015\u103a\u101e\u1030\u104f \u1019\u103b\u103e\u1031\u102c\u103a\u101c\u1004\u1037\u103a\u1011\u102c\u1038\u101e\u1031\u102c \u1015\u103b\u1031\u102c\u103a\u101b\u103d\u103e\u1004\u103a\u1019\u103e\u102f\u1021\u1006\u1004\u1037\u103a\u1019\u103e\u102c-<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1015\u103b\u1031\u102c\u103a\u101b\u103d\u103e\u1004\u103a\u1019\u103e\u102f = -0.107(30) <sup>2<\/sup> + 7.173(30) \u2013 30.25 = <strong>88.64<\/strong> \u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1019\u1031\u102c\u103a\u1012\u101a\u103a\u104f R-squared \u1000\u102d\u102f\u101b\u101b\u1014\u103a \u1021\u1010\u102d\u102f\u1001\u103b\u102f\u1036\u1038\u101b\u1031\u1038\u1014\u102d\u102f\u1004\u103a\u101e\u100a\u103a\u104a \u104e\u1004\u103a\u1038\u101e\u100a\u103a \u1001\u1014\u1037\u103a\u1019\u103e\u1014\u103a\u1038\u101e\u1030\u1000\u102d\u1014\u103a\u1038\u101b\u103e\u1004\u103a\u1019\u103b\u102c\u1038\u1016\u103c\u1004\u1037\u103a \u101b\u103e\u1004\u103a\u1038\u1015\u103c\u1014\u102d\u102f\u1004\u103a\u101e\u1031\u102c \u1010\u102f\u1036\u1037\u1015\u103c\u1014\u103a\u1019\u103e\u102f\u1000\u102d\u1014\u103a\u1038\u101b\u103e\u1004\u103a\u101b\u103e\u102d \u1000\u103d\u1032\u101c\u103d\u1032\u1019\u103e\u102f\u104f\u1021\u1001\u103b\u102d\u102f\u1038\u1021\u1005\u102c\u1038\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#define function to calculate r-squared<\/span>\n<span style=\"color: #008000;\">def<\/span> polyfit(x, y, degree):\n    results = {}\n    coeffs = np.polyfit(x, y, degree)\n    p = np.poly1d(coeffs)\n    <span style=\"color: #008080;\">#calculate r-squared<\/span>\n    yhat = p(x)\n    ybar = np.sum(y)\/len(y)\n    ssreg = np.sum((yhat-ybar)**2)\n    sstot = np.sum((y - ybar)**2)\n    results['r_squared'] = ssreg \/ sstot\n\n    <span style=\"color: #008000;\">return<\/span> results\n\n<span style=\"color: #008080;\">#find r-squared of polynomial model with degree = 3\n<\/span>polyfit(hours, happ, 2)\n\n{'r_squared': 0.9092114182131691}\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">\u1024\u1025\u1015\u1019\u102c\u1010\u103d\u1004\u103a\u104a \u1019\u1031\u102c\u103a\u1012\u101a\u103a\u104f R \u1005\u1010\u102f\u101b\u1014\u103a\u1038\u101e\u100a\u103a <strong>0.9092<\/strong> \u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1006\u102d\u102f\u101c\u102d\u102f\u101e\u100a\u103a\u1019\u103e\u102c \u1021\u1005\u102e\u101b\u1004\u103a\u1001\u1036\u1011\u102c\u1038\u101e\u1031\u102c \u1015\u103b\u1031\u102c\u103a\u101b\u103d\u103e\u1004\u103a\u1019\u103e\u102f\u1021\u1006\u1004\u1037\u103a\u1019\u103b\u102c\u1038\u1010\u103d\u1004\u103a \u1000\u103d\u1032\u101c\u103d\u1032\u1019\u103e\u102f 90.92% \u1000\u102d\u102f \u1001\u1014\u1037\u103a\u1019\u103e\u1014\u103a\u1038\u101e\u1030\u1000\u102d\u1014\u103a\u1038\u101b\u103e\u1004\u103a\u1019\u103b\u102c\u1038\u1016\u103c\u1004\u1037\u103a \u101b\u103e\u1004\u103a\u1038\u1015\u103c\u1014\u102d\u102f\u1004\u103a\u101e\u100a\u103a\u104b<\/span><\/p>\n<h2> <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><\/h2>\n<p> <a href=\"https:\/\/statorials.org\/my\/polynomial-regression-\u1005\u1015\u102b\u1038\u1021\u102f\u1036\u1038\/\" target=\"_blank\" rel=\"noopener noreferrer\">Python \u1010\u103d\u1004\u103a polynomial regression \u101c\u102f\u1015\u103a\u1014\u100a\u103a\u1038<\/a><br \/> <a href=\"https:\/\/statorials.org\/my\/\u101c\u1031\u1038\u1011\u1031\u102c\u1004\u1037\u103a\u1006\u102f\u1010\u103a\u101a\u102f\u1010\u103a-r\/\" target=\"_blank\" rel=\"noopener noreferrer\">R \u1010\u103d\u1004\u103a quadratic regression \u1000\u102d\u102f \u1019\u100a\u103a\u101e\u102d\u102f\u1037\u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u101b\u1019\u100a\u103a\u1014\u100a\u103a\u1038\u104b<\/a><br \/> <a href=\"https:\/\/statorials.org\/my\/quadratic-regression-excel\/\" target=\"_blank\" rel=\"noopener noreferrer\">Excel \u1010\u103d\u1004\u103a \u101c\u1031\u1038\u1015\u102f\u1036\u1010\u1015\u102f\u1036 \u1006\u102f\u1010\u103a\u101a\u102f\u1010\u103a\u1019\u103e\u102f\u1000\u102d\u102f \u1019\u100a\u103a\u101e\u102d\u102f\u1037\u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u101b\u1019\u100a\u103a\u1014\u100a\u103a\u1038<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Quadratic regression \u101e\u100a\u103a \u1002\u101b\u1015\u103a\u1010\u1005\u103a\u1001\u102f\u1015\u1031\u102b\u103a\u101b\u103e\u102d &#8220; U&#8221; \u101e\u102d\u102f\u1037\u1019\u101f\u102f\u1010\u103a \u1015\u103c\u1031\u102c\u1004\u103a\u1038\u1015\u103c\u1014\u103a &#8220; U&#8221; \u1000\u1032\u1037\u101e\u102d\u102f\u1037\u1016\u103c\u1005\u103a\u1014\u102d\u102f\u1004\u103a\u101e\u100a\u103a\u101f\u1030\u101e\u1031\u102c \u1006\u1000\u103a\u1005\u1015\u103a\u1019\u103e\u102f\u1021\u1005\u1005\u103a\u1021\u1019\u103e\u1014\u103a\u1019\u103b\u102c\u1038\u101e\u100a\u103a \u101c\u1031\u1038\u1011\u1031\u102c\u1004\u1037\u103a\u1015\u102f\u1036\u101e\u100f\u1039\u100d\u102c\u1014\u103a\u1016\u103c\u1005\u103a\u101e\u100a\u1037\u103a\u1021\u1001\u102b \u1000\u103c\u102d\u102f\u1010\u1004\u103a\u1001\u1014\u1037\u103a\u1019\u103e\u1014\u103a\u1038\u1000\u102d\u1014\u103a\u1038\u101b\u103e\u1004\u103a\u1014\u103e\u1004\u1037\u103a \u1010\u102f\u1036\u1037\u1015\u103c\u1014\u103a\u1019\u103e\u102f\u1000\u102d\u1014\u103a\u1038\u101b\u103e\u1004\u103a\u1000\u103c\u102c\u1038\u1006\u1000\u103a\u1006\u1036\u101b\u1031\u1038\u1000\u102d\u102f \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u101b\u1014\u103a \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\u1031\u102c \u1006\u102f\u1010\u103a\u101a\u102f\u1010\u103a\u1019\u103e\u102f\u1021\u1019\u103b\u102d\u102f\u1038\u1021\u1005\u102c\u1038\u1010\u1005\u103a\u1001\u102f\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b \u1006\u102d\u102f\u101c\u102d\u102f\u101e\u100a\u103a\u1019\u103e\u102c \u1001\u1014\u1037\u103a\u1019\u103e\u1014\u103a\u1038\u101e\u1030\u1000\u102d\u1014\u103a\u1038\u101b\u103e\u1004\u103a \u1010\u102d\u102f\u1038\u101c\u102c\u101e\u100a\u103a\u1014\u103e\u1004\u1037\u103a\u1021\u1019\u103b\u103e\u104a \u1010\u102f\u1036\u1037\u1015\u103c\u1014\u103a\u1019\u103e\u102f\u1000\u102d\u1014\u103a\u1038\u101b\u103e\u1004\u103a\u101e\u100a\u103a \u1010\u102d\u102f\u1038\u101c\u102c\u1010\u1010\u103a\u101e\u100a\u103a\u104a \u101e\u102d\u102f\u1037\u101e\u1031\u102c\u103a \u1001\u1014\u1037\u103a\u1019\u103e\u1014\u103a\u1038\u1001\u103b\u1000\u103a\u1000\u102d\u1014\u103a\u1038\u101b\u103e\u1004\u103a\u101e\u100a\u103a \u1006\u1000\u103a\u101c\u1000\u103a\u1010\u102d\u102f\u1038\u101c\u102c\u101e\u1031\u102c\u1000\u103c\u1031\u102c\u1004\u1037\u103a \u1010\u102f\u1036\u1037\u1015\u103c\u1014\u103a\u1019\u103e\u102f\u1000\u102d\u1014\u103a\u1038\u101b\u103e\u1004\u103a\u101e\u100a\u103a \u1000\u103b\u1006\u1004\u103a\u1038\u101e\u103d\u102c\u1038\u1015\u102b\u101e\u100a\u103a\u104b \u1024\u101e\u1004\u103a\u1001\u1014\u103a\u1038\u1005\u102c\u1010\u103d\u1004\u103a Python \u1010\u103d\u1004\u103a \u101c\u1031\u1038\u1015\u102f\u1036\u1010\u1015\u102f\u1036 \u1006\u102f\u1010\u103a\u101a\u102f\u1010\u103a\u1019\u103e\u102f\u1021\u102c\u1038 \u1019\u100a\u103a\u101e\u102d\u102f\u1037\u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u101b\u1019\u100a\u103a\u1000\u102d\u102f \u101b\u103e\u1004\u103a\u1038\u1015\u103c\u1011\u102c\u1038\u101e\u100a\u103a\u104b \u1025\u1015\u1019\u102c- Python \u101b\u103e\u102d Quadratic Regression \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u1010\u103d\u1004\u103a \u1010\u1005\u103a\u1015\u1010\u103a\u101c\u103b\u103e\u1004\u103a \u1021\u101c\u102f\u1015\u103a\u101c\u102f\u1015\u103a\u101e\u1031\u102c \u1014\u102c\u101b\u102e\u1021\u101b\u1031\u1021\u1010\u103d\u1000\u103a\u1014\u103e\u1004\u1037\u103a \u1015\u1010\u103a\u101e\u1000\u103a\u101e\u1031\u102c \u1012\u1031\u1010\u102c\u101b\u103e\u102d\u1015\u103c\u102e\u1038 \u101c\u1030 16 \u1026\u1038\u1021\u1010\u103d\u1000\u103a \u1015\u103b\u1031\u102c\u103a\u101b\u103d\u103e\u1004\u103a\u1019\u103e\u102f\u1021\u1006\u1004\u1037\u103a (0 \u1019\u103e 100 \u1021\u1011\u102d) \u1021\u1005\u102e\u101b\u1004\u103a\u1001\u1036\u101e\u100a\u103a\u1006\u102d\u102f\u1015\u102b\u1005\u102d\u102f\u1037\u104b [&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 - Statology \u1010\u103d\u1004\u103a Quadratic Regression \u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1014\u100a\u103a\u1038<\/title>\n<meta name=\"description\" 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