.2. From heights (x;) in inches, weights (x2) in kg. and ages (x) in years of a group of students, the foilowing means, variances and correlation cnefficients were obtained : X, = 40, X = 50, x3 - 20 ; s; = 3, s2 = 4, s3 - 2 ; r;2= 0-4, r = 0-5, r3= 0-25, where x, is the mean of x;, 5? is ihe variance of x; and r; is correlation coefficient between x, and x; for i, j - 1, 2, 3. Finci the multiple regression equation of x3 on (x; and x) and estimate the value of x when X, = 43 inches and x, = 54 kg.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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.2. From heighis (x;) in inches, weights (x2) in kg. and ages (x3) in years of a group of
students, the following means, variances and correlation cnefficients were obtained :
*, = 40, x, - 50, x - 20 ;
S; = 3, s2 = 4, s3 - 2 ; r = 0:4, i; = 0:5, r3 =0-25,
where x, is the mean of x;, 5 is the variance of x; and r; is correlation coefficient between x, and x; for i, j
- 1. 2. 3. Finci the multiple regression equation of x3 on (x; and x) and estimate the value of x3 when
X, = 43 inches and x, = 54 kg.
Transcribed Image Text:.2. From heighis (x;) in inches, weights (x2) in kg. and ages (x3) in years of a group of students, the following means, variances and correlation cnefficients were obtained : *, = 40, x, - 50, x - 20 ; S; = 3, s2 = 4, s3 - 2 ; r = 0:4, i; = 0:5, r3 =0-25, where x, is the mean of x;, 5 is the variance of x; and r; is correlation coefficient between x, and x; for i, j - 1. 2. 3. Finci the multiple regression equation of x3 on (x; and x) and estimate the value of x3 when X, = 43 inches and x, = 54 kg.
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