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: x1 = amount of extractable iron ore and x2 = amount of bauxite. We wish to fit the model Y = B0 + B1x1 + B2x2 + έ. Some necessary quantities are:




(a) Estimate the regression coefficients in the model specified above.
(b) What is the predicted value of the absorption index y when x1 = 200 and x2 = 50?

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-7.30982 E-3 7.9799 E-5 1.23713 E-4 7.3006 E-4 -1.23713 E-4 4.6576 E-4 220 1.17991 X'y = 36,768 9,965 (X'X)- = -7.30982 E-3 7.3006 E-4