Matlab or C code allowed. Show your all works pls.

The following data come from a table that was measured with high precision. Use the best numerical method (for this type of problem) to determine at = .. Note that a polynomial will yield an exact value. Your solution should prove that your result is exact.

1) The following data come from a table that was measured with high precision. Use the best numerical method (for this type of problem) to determine y at x=3.5. Note that a polynomial will yield an exact value. Your solution should prove that your result is exact. ( 40 points)