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...

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.