Age x and resting heart rate y were sampled for 25 randomly selected children from age 2 to 9. Summary information is:  n = 25, Σx = 140.5, Σx2 = 903.75, Σy = 2567, Σy2 = 264, 457, Σxy = 14, 171.5  (a) Compute the linear correlation coefficient and interpret what it means in the context of the problem.  (b) Compute the least squares regression line.  (c) Predict the resting heart rate for a child age 5.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
Problem 31EQ
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Age x and resting heart rate y were sampled for 25 randomly selected children from age 2 to 9. Summary information is: 

n = 25, Σx = 140.5, Σx2 = 903.75, Σy = 2567, Σy2 = 264, 457, Σxy = 14, 171.5 

(a) Compute the linear correlation coefficient and interpret what it means in the context of the problem. 

(b) Compute the least squares regression line. 

(c) Predict the resting heart rate for a child age 5. 

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