1 of 1 t l (Chapter 7) (10% of the grade) Due: April 20, 2018 Project: Curve Fitting and Interpolation of Data Engineering design often involves measurement of a relevant property and then data analysis by plotting the data in order to probe a physical phenomenon. The goal of this project to do such analysis by curve fitting the given data (Ta 1. Polynomial method (7th degree polynomial) ble 1) using the following two numerical methods 2. Cubic Spline method Data: Table 1 1.2 0.9 0.5 -0.4 0.4 0.5 0.9 1.2 Assignment 1: Determine the 7th degree polynomial by using any of the following programming languages: MATLAEB OCTAVE or Excel. Note: Solve the matrix involved using the Gaussian Elimination method. Assignment 2: Curve fit the data using the cubic spline method. Use any of the following languages: MATLAB, OCTAVE or Excel. It will involve solving a tridiagonal system. Use the Gaussian Elimination method to solve this system. Use So-S 0. Assignment 3: Use the functions spline, polyfit and polyval in MATLAB or OCTAVE to interpolate the data between - 1.2 and 1.2 with an interval of 0.02. Plot the interpolated data and compare with the solutions obtained from assignments one and two. Note: Attach the working code used or excel sheets with notes