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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 X, = 0-7 X3 = = 74 S, = 1.0 S, = 0-80 S3 = 9.0 12 = 0-60 13 = 0-70 23 = 0-65 (1) 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.

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 X, = 0-7 X3 = = 74 S, = 1.0 S, = 0-80 S3 = 9.0 12 = 0-60 13 = 0-70 23 = 0-65 (1) 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.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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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 X, = 0-7 X3 = 74 S, = 1.0 S, = 0-80 S3 = 9-0 12 = 0-60 13 = 0-70 23 = 0-65 (1) 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.
Transcribed Image Text: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 X, = 0-7 X3 = 74 S, = 1.0 S, = 0-80 S3 = 9-0 12 = 0-60 13 = 0-70 23 = 0-65 (1) 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.
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