in matlab

Question 2 (30\%): DNA microarrays are used to study the relative expression of phenotypes under different experimental conditions. One of the commonly studied systems is the yeast. Lets choose fo proteins from the NIH dataset and find how their expression profiles are related to the to the expression of a specific mutant phenotype Sigma1278b. a) (10\%) Calculate the linear regression of the data using P1, P2, P3, and P4 as your predictors and Sigma1278b as your output, do not use the built-in functions like polyfit or linsolve. b) (10\%) Quantify the coefficient of determination (r2) of your model fit created in part (a). c) (10%) Estimate the value of the expression of Sigma1278b for P1=5,P=3,P3=7 and P4=8. \( \begin{array}{l}\text { Sig_Out }=\left[\begin{array}{llllllllll}4 & 5 & 6 & 7 & 8 & 9 & 10 & 11 & 12 & 13\end{array} ight] ; \\\end{array} \)