The following noisy data are given: k Yk 1 23 4 -2.00 0.250 0.900 1.00 2.23 4.29 5.12 6.30 Write a Python script names least squares.py that 1. Sets up the linear system for the coefficients of the linear least-squares interpolant and solves it. 2. Computes and prints the corresponding least-squares error. 3. Produces a plot with the data in the table (as dots) and the graph of the least-squares interpolant.