For a sample of 15 trees, the volume of lumber (y) (in cubic meters) and the diameter (x)  (in centimeters) at a fixed height above ground level was measured. The following  summary statistics were obtained:   x̄ = 35.2 sx = 8.9 ȳ = 0.78 sy = 0.48 r = 0.95   a) Compute the least-squares regression line for predicting volume from diameter.  B)Predict the volume for a tree whose diameter is 42 centimeters

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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For a sample of 15 trees, the volume of lumber (y) (in cubic meters) and the diameter (x) 
(in centimeters) at a fixed height above ground level was measured. The following 
summary statistics were obtained:  
x̄ = 35.2 sx = 8.9 ȳ = 0.78 sy = 0.48 r = 0.95
 
a) Compute the least-squares regression line for predicting volume from diameter. 

B)Predict the volume for a tree whose diameter is 42 centimeters
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