Python script to compute multiple regression equation with NumPy.

regression_multi_numpy.py

#! /usr/local/bin/python3.6
"""
Computation of a multiple regression with NumPy
"""
import sys
import traceback
import numpy as np


class RegressionMulti:
    def reg_multi(self, x, y):
        """ Regression line computation

        :param  list x: list of explanatory variables
        :param  list y: list of objective variables
        :return list [b, a_0, a_1]: b, a_0, a_1 value
        """
        try:
            if type(x) != list:
                print("Argument(X) is not a list!")
                sys.exit()
            if type(y) != list:
                print("Argument(Y) is not a list!")
                sys.exit()
            if len(x) == 0:
                print("List(X) is none!")
                sys.exit()
            if len(y) == 0:
                print("List(Y) is none!")
                sys.exit()
            if len(x[0]) != len(y):
                print("Argument list size is invalid!")
                sys.exit()
            for i in range(1, len(x)):
                if len(x[0]) != len(x[i]):
                    print("Argument list size is invalid!")
                    sys.exit()
            e = np.array(x)
            o = np.array(y)
            e = np.vstack([np.ones(e.shape[1]), e])
            return np.linalg.lstsq(e.T, o)[0]
        except Exception as e:
            raise


if __name__ == '__main__':
    try:
        x = [
            [10, 9, 8, 6, 8, 4, 9, 10, 2, 3, 8, 6, 7, 5],
            [83, 71, 64, 69, 69, 64, 68, 59, 81, 91, 57, 65, 58, 62]
        ]
        y   = [183, 168, 171, 178, 176, 172, 165, 158, 183, 182, 163, 175, 164, 175]
        for i, a in enumerate(x):
            print("説明変数 X{} = {}".format(i + 1, x[i]))
        print("目的変数 Y  =", y)
        print("---")
        obj = RegressionMulti()
        res = obj.reg_multi(x, y)
        print("b   =", res[0])
        print("a_0 =", res[1])
        print("a_1 =", res[2])
    except Exception as e:
        traceback.print_exc()
        sys.exit(1)