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 Xる=74 S; = 1-0 S, = 0-80 %3D 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.
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 Xる=74 S; = 1-0 S, = 0-80 %3D 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.
Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter1: Introduction To Algebra
Section1.6: Translating Problems Into Equations
Problem 9MRE
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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
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.
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