*********MATLAB CODE NEEDED NOT BY HAND********

[10pts] Problem #1) The data below shows the percentage of Ph.D. students and the time between their initial proposal and dissertation defense Table I. Time required for Ph.D. students to defend their dissertation lime since Percentage of Ph.I students (%) proposal 2.0 2.5 3.2 4.0 4.5 15 a) Write a MATLAB code to estimate the percentage of graduate students who take 2.8 years to defend their dissertation (i.e. f (2.8)). Use Newton polynomials of order 1 through 3 to calculate the values. Choose the sequence of the points to attain the best possible accuracy