The following table lists the birth weights (in pounds), x, and the lengths (in inches), y, for a set of newborn babies at a local hospital. Birth Weights and Lengths Birth Weight, 5 3 8 6 9 7 7

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 29EQ
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The following table lists the birth weights (in
pounds), x, and the lengths (in inches), y, for a
set of newborn babies at a local hospital.
Birth Weights and Lengths
Birth
Weight, 5 3
8 6 9 7
7 76 6 10
Length,
16 15 18 19 19 18 20 17 15 21
y
1) Find the equation of the least squares
regression line ŷ = bjx + b0- Round your
%D
answer to three decimal places.
b, =
0.814
bo
12.343
%3D
2) Predict the length of an 8-pound baby. Round
your answer to three decimal places.
15.601
Transcribed Image Text:The following table lists the birth weights (in pounds), x, and the lengths (in inches), y, for a set of newborn babies at a local hospital. Birth Weights and Lengths Birth Weight, 5 3 8 6 9 7 7 76 6 10 Length, 16 15 18 19 19 18 20 17 15 21 y 1) Find the equation of the least squares regression line ŷ = bjx + b0- Round your %D answer to three decimal places. b, = 0.814 bo 12.343 %3D 2) Predict the length of an 8-pound baby. Round your answer to three decimal places. 15.601
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