Given x $=[1,2,3,4]$ and y $=[6,5,7,10],$ please find a line of best fit

that satisfies y $=$ B$1+$ B$2$x$.$ Your task is to solve the values of B$1$ and B$2$

using the least squares approach and applying the partial

derivatives.

Please use Python but do not use Sci$-$kit learn, Scipy, etc libraries

where you can solve this in a black box approach. Your task here will

be to implement this yourself in Python. You may use Numpy $($but

not any solver functions in Numpy$)$ and Sympy libraries. If you would

like to use another library please ask first.