write a python code.

Curve fitting using Least squares

For the 2D points, find the 2nd-order curve using least squares

Sampling 6 2D points out of total 8 points

- Randomly select 6 points

- Twice curve fitting

- Compare two curves

Library is used for minimal processes such as inverse after directly creating A matrix.

Using Pseudo inverse.

2D points (-2.9, 35.4) (-2.1, 19.7) (-0.9, 5.7) (1.1, 2.1) (0.1, 1.2) (1.9, 8.7) (3.1, 25.7) (4.0, 41.5) y = ax2 + bx +c