thomasnield · November 1, 2021 13:51
diff --git a/sympy_simple_linear_regression_derivatives.py b/sympy_simple_linear_regression_derivatives.py
 from sympy import *

 m, b, i, n = symbols('m b i n')
 x, y = symbols('x y', cls=Function)

 sum_of_squares = Sum((m*x(i) + b - y(i)) ** 2, (i, 0, n))

 d_m = diff(sum_of_squares, m) 
 d_b = diff(sum_of_squares, b)
 print(d_m)
 print(d_b)

 # OUTPUTS
 # Sum(2*(b + m*x(i) - y(i))*x(i), (i, 0, n))
 # Sum(2*b + 2*m*x(i) - 2*y(i), (i, 0, n))
	from sympy import *

	m, b, i, n = symbols('m b i n')
	x, y = symbols('x y', cls=Function)

	sum_of_squares = Sum((mx(i) + b - y(i)) * 2, (i, 0, n))

	d_m = diff(sum_of_squares, m)
	d_b = diff(sum_of_squares, b)
	print(d_m)
	print(d_b)

	# OUTPUTS
	# Sum(2(b + mx(i) - y(i))*x(i), (i, 0, n))
	# Sum(2b + 2mx(i) - 2y(i), (i, 0, n))