python solve matrix equation with standard library code example
Example: python linear equation components
def liner(x,y):
""" 'y(x) = ax + b' --> get a & b by providing arrays x & y"""
sum_xy = sum([i*j for i,j in zip(x,y)])
sum_x2 = sum([pow(i,2)for i in x ])
a = ( len(y)*sum_xy - sum(x)*sum(y) ) / ( len(y)*sum_x2 - pow(sum(x),2))
b = ( sum(y)*sum_x2 - sum(x)*sum_xy) / ( len(y)*sum_x2 - pow(sum(x),2))
return a,b
xx = [0,2,6,11,12,13,17,21,24,26,31,36,37]
yy = [0,4,7,11,16,26,27,31,39,47,49,57,58]
a,b = liner(xx,yy)
print("a:",a," b:",b)
import numpy as np
np.polyfit(xx, yy, 1)