(30 points) For the provided data set, write equations for calculating the polynomial interpolation of degree 4 and find the formula for f by hand. Hint: Read the end of page 75 in our book) z = [1, 2, 3, 4,5] y- f(5, 31, 121, 341, 78I] (30 points) For the provided data set, write equations for calculating the degree 3 spline interpolation Can we find a valid formula for f with this method? How or why not? ? = [1, 2, 3] y=f(r) 15, 31, 1211 =