A regression model is to be developed for predicting the ability of soil to absorb chemical contaminants. Ten observations have been taken on a soil absorption index (y) and two regressors: 331 = amount of extractable iron ore and 332 = amount of bauxite. We wish to t the model y = [30 + lm + {32932 + 6. Some necessary quantities are: 1.17991 7.30982 E3 7.3006 E4 (XTX)_1 = 7.30982 E3 7.9799 E5 1.23713 E4 7.3006 E4 1.23713 121.4 4.6576 E4 and 220 xTy = 36, 768 9, 965 a. Estimate the regression coeicients in the model specied. b. What is the predicted value of the absorption index 3; when 931 = 200 and 932 = 50? c. If we assume that a2 = Var(e) = 1, what are the variances of the estimated coef cients (including the intercept)