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Least square fit to polynomial write a function leastsquarefit3pol that solves a linear system of equations to find a least squares fit of a third order polynomial to an experimental data set given as two row arrays. the function leastsquarefit3pol must explicitly solve a set of linear equations and cannot use polyfit. there should be no restriction on the size of the problem that can be solved.

In this lab, you complete a python program that calculates an employee's annual bonus. input is an employee's first name, last name, salary, and numeric performance rating. if the rating is 1, 2, or 3, the bonus rate used is .25, .15, or .1 respectively. if the rating is 4 or higher, the rate is 0. the employee bonus is calculated by multiplying the bonus rate by the annual salary.