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Example 17.9 From heights (X,) in inches, weights (X,) in kg and ages (X3) in years of a group of students, the following means, variances and correlation were obtained = 40 S1 = 3 12 = 0.4 = mean of x, s= var (x;) and y;j = correlation x; for i, j = 1, 2, 3. Find the multiple regression X2 = 50 S2 = 2 123 = 0.5 X3 = 20 S3 = 2 r13 = 0.7 where x; equation of xz on x, and x2 and estimate the value of x3 when x, = 43 inches and x, = 54 kg.

Example 17.9 From heights (X,) in inches, weights (X,) in kg and ages (X3) in years of a group of students, the following means, variances and correlation were obtained = 40 S1 = 3 12 = 0.4 = mean of x, s= var (x;) and y;j = correlation x; for i, j = 1, 2, 3. Find the multiple regression X2 = 50 S2 = 2 123 = 0.5 X3 = 20 S3 = 2 r13 = 0.7 where x; equation of xz on x, and x2 and estimate the value of x3 when x, = 43 inches and x, = 54 kg.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 23PFA
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Example 17.9 From heights (X¡) in inches, weights (X2) in kg and ages (X,) in years of a group of students, the following means, variances and correlation were obtained = 40 X2 = 50 S2 = 2 r23 = 0.5 X = 20 S1 = 3 r12 = 0.4 S3 = 2 r13 = 0.7 where x; = mean of x, s= var (x;) and y;j = correlation x; for i, j = 1, 2, 3. Find the multiple regression equation of x, on x, and x, and estimate the value of x3 when x, = 43 inches and x, = 54 kg. X2 X1
Transcribed Image Text:Example 17.9 From heights (X¡) in inches, weights (X2) in kg and ages (X,) in years of a group of students, the following means, variances and correlation were obtained = 40 X2 = 50 S2 = 2 r23 = 0.5 X = 20 S1 = 3 r12 = 0.4 S3 = 2 r13 = 0.7 where x; = mean of x, s= var (x;) and y;j = correlation x; for i, j = 1, 2, 3. Find the multiple regression equation of x, on x, and x, and estimate the value of x3 when x, = 43 inches and x, = 54 kg. X2 X1
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