Exercise #$1(35$ pt$)$:

With this exercise, we want to get a sense of the pros and cons associated with various mapping techniques. Consider the following sampling of a daily precipitation field by $4$ gauges:

$\backslash$table$[[$Index$,$Easting $km,$Northing $km,$Rain daily accumulation $[$mm$]],[1,740,85,60],[2,65,210,100],[3,180,140,90],[4,600,180,40],[$Estimation location $t_0,400,150,?$