2. {6 pigs) Given the following data, a researcher wants to fit the model \"Y\"; = B X.- + 31' The researcher hypothesizes from previous experiments that B is either 3, 4, or 5 and desires to fit a robust regression using LAD {choose B that minimizes the sum ofthe absolute value of the residuals). I X Y 1 2 4 2 2 6 - 3 2 7 + 4 5 17 5 5 18 6 5 20 | + | ' . . 5| Find the LAD estimatorfor B keeping in mind the researcher's knowledge from past experiments