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- An instructor of mathematics wishes to determine the relationship of grades on a final examination to grades on two quizes given during the semester. Costing X1, X2 and X3 the grades of a student on the first quiz, second quiz and final examination respec- tively, he made the following computations for a total of 120 students: X, = 6-8 X2 = 0-7 X3 = 74 S; = 1-0 S, = 0-80 %D S3 = 9-0 12 = 0-60 13 = 0-70 23 = 0-65 () Find the least square regression equation of X3 on X1 and X2. (i) Estimate the final grades of two students who scored respectively 9 and 7, 4 and 8 on the two quizes.1. calculate the following: a. (-3x2y2) X (-2x3y) X (-3y2) b. (-5x23) X (-2x3y2) X z4 c. 3y2z X (-4y2x) X (x2y)3 d. 4x2y3z2 X x3y2z3 X (-2xz3) e. (-3yz)2 X (2x2)3 X (x2y3)2 f. 3xyz2 X x3y2 X 2xy4 g. 6x2z2 X 2x3z X (x2y)3