Question $4(9$ marks$)$

Given below a set of data points $($in circle symbol$),$ a new grid point, P $($in triangle symbol$),$ is required to be established through interpolation. You are required to interpolate the height for point P using the moving averaging technique with the following three weighting functions:

$($a$)$ Inverse squared distance

$($b$)$ Radius$-$distance method $($Assume radius $=10$m $)$

List down the weighting functions, steps of computation, and answers