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Given x = [ 1 , 2 , 3 , 4 ] and y = [ 6 , 5 , 7 , 1 0 ]

Given x =[1,2,3,4] and y =[6,5,7,10], please find a line of best fit that satisfies y = B1+ B2x. Your task is to solve the values of B1 and B2 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.
Submit your code in a Google Colab notebook.

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