I need to interpolate dataset into a 7 th-degree polynomial

Question

I need to interpolate the following dataset into a 7 th-degree polynomial:

x=[1,2,3,4,5,6,7]

y=[26,10,29,43,38,30,47]

My real problem is the fact that point [4,43] is given as a local max.

I need to put f′(4)=0 into the matrix, but how?

Answer 1

If you have Matlab, try writing this code exactly as it is written.

 

x = [1, 2, 3, 4, 5, 6, 7];

y = [26, 10, 29, 43, 38, 30, 47];

z = poly(x, y)

 

After you write this code, hit ENTER to get your polynomial.  The polynomial will be represented as a matrix using the coefficients of the polynomial.  The last coefficient in the matrix represents the constant term of the polynomial.