solve 1 and 2 with excel, include plot

1. Dynamic viscosity of water (103Ns/m2) is related to temperature T(C) in the following manner: (a) Use Newton's interpolation to predict at T=7.5C. (b) Use polynomial regression to fit a parabola to this data in order to prediction at T=7.5C. (c) Plot the data and the curves from (a) and (b). Which method yielded a better prediction? Explain. 2. Given a set of k+1 data points (x0,y0),,(xj,yj),,(xk,yk) where no two xj are the same, the interpolation polynomial in the Lagrange form is a linear combination of Lagrange basis polynomials L(x):=j=0kyjj(x)j(x):=0m