Numerical Engineering MethodsHW (6)Q1) Given the following set of data points (x,y):\table[[x,-1.5,-1.25,-1,-0.75,-0.5,-0.25,0,0.25,0.5,0.75,1,1.25,1.5,1.75,2],[y,10,7.2,4,1.3,-0.7,-1.8,-2,-1.3,0.4,3,6.7,11.3,17,23.5,31]]a) Find f'(0.5),f''(0.5),f'''(0.5) and f''''(0.5) to the best possible accuracy.b) Find f'''(-0.25) and f''''(-0.25) to the best forward accuracy.c) Find f''(1.5) and f''''(1.5) to the best backward accuracy.d) Find f'''(1) and f''''(1) using 5-points forward formula.e) Find the best straight line (linear regression) which fits these data points. (Ch5)Q2) For the given set of data points: (-3,-120),(-1.5,-30),(1,10),(2,40),(3,80) and (5,200).Use Newton's Divided Difference method to find:a) the interpolation function f(x) and then evaluate the value of f(-1).b) the first derivative f'(x) and then evaluate the value of f'(-1).