Write a VBA code that uses the Lagrange interpolation method to estimate $f(0\mathrm{.}6)$ to an accuracy of $5$ decimal places, for the following data set:

$\backslash$table$[[x,0\mathrm{.}4,0\mathrm{.}5,0\mathrm{.}7,0\mathrm{.}8],[y,0\mathrm{.}916291,0\mathrm{.}693147,0\mathrm{.}356675,0\mathrm{.}223144]]$

Please be aware that it is necessary to incorporate a loop into a generic code that has the capability to solve other Lagrange problems. It is nor sufficient to solve the problem manually using VBA. Othenwise, you will not be awarded points for the coding components of the problem.

Note that you will be marked on:

functionality of the code,

correct results

Affer reviewing the instructions,

How the results are presented

a inputs that are used

Understanding the Lagrange Interpolation Method steps