Problem 1 Generate pairs of data (x;, yi) using = (0:0.1: 2.5)';y= erf(x); in MATLAB. Assume that the output y(t) can be approximated by a sixth – th degree polynomial in terms of x(t) (including a constant bias term, so seven pa- rameters in total): y(t) = 01 + 0,x(t) + 03x (t) + 04x°(t) + 05x*(t) + O6x* (t) + 0,x° (t) Solve for the coefficients 0;, i = 1,2,3,4,5,6,7 using batch least squares. Com- pare the result with the MATLAB function "polyfit."

In Matlab. Analyze the rabbit growth rate problem using the transform Z. The following reference is suggested:https://la.mathworks.com/help/symbolic/compute-z-transforms-and-inverse-z-transformhtml

Develop the POS for the truth table illustrated below.

Using MATLAB compute the convolution of the following signals: a) x (n) = {1,2,4}, h (n) ={1,1,1,1,1} Also, plot the convolution.