. 27.2. From heights (x) in inches, weights (x2) in kg. and ages (x3) in years of a group of students, the following means, variances and correlation coefficients were obtained : x, = 40, x2 = 50, x3 = 20 ; S = 3, s2 = 4, s3= 2 ; r12 = 0-4, r23 = 0-5, r13= 0-25, where x, is the mean of xi, s? is the variance of x¡ and r¡ is correlation coefficient between x; and x; for i, j = 1, 2, 3. Find the multiple regression equation of x3 on (x, and x2) and estimate the value of x; when X = 43 inches and x2 = 54 kg.

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27.2. From heights (x1) in inches, weights (x2) in kg. and ages (x3) in years of a group of
students, the following means, variances and correlation coefficients were obtained :
X = 40, x2 = 50, x3 = 20 ; s = 3, s2 = 4, s3 = 2 ; r12 = 0-4, r23 = 0-5, r13= 0-25,
%3D
where x; is the mean of x;, s? is the variance of x; and r¡j is correlation coefficient between x; and x; for i, j
1, 2, 3. Find the multiple regression equation of x3 on (x, and x2) and estimate the value of x when
X = 43 inches and x2 = 54 kg.
Transcribed Image Text:27.2. From heights (x1) in inches, weights (x2) in kg. and ages (x3) in years of a group of students, the following means, variances and correlation coefficients were obtained : X = 40, x2 = 50, x3 = 20 ; s = 3, s2 = 4, s3 = 2 ; r12 = 0-4, r23 = 0-5, r13= 0-25, %3D where x; is the mean of x;, s? is the variance of x; and r¡j is correlation coefficient between x; and x; for i, j 1, 2, 3. Find the multiple regression equation of x3 on (x, and x2) and estimate the value of x when X = 43 inches and x2 = 54 kg.
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