A pediatrician wants to determine the relation that exists between a child's height, x, and head circumference, y. She randomly selects 11 children from her practice, measures their heights and head circumferences and obtains the accompanying data. Complete parts (a) through (e). E Click the icon to view the data table. (a) Find the least-squares regression line treating height as the explanatory variable and head circumference as the response variable. The least-squares regression line is y = (Round to four decimal places as needed.)

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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A pediatrician wants to determine the relation that exists between a child's height, x, and head circumference, y. She randomly selects 11 children from her practice, measures their heights
and head circumferences and obtains the accompanying data. Complete parts (a) through (e).
E Click the icon to view the data table,
(a) Find the least-squares regression line treating height as the explanatory variable and head circumference as the response variable.
The least-squares regression line is y=x+:
(Round to four decimal places as needed.)
Enter your answer in the edit fields and then click Check Answer.
Data Table
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Transcribed Image Text:A pediatrician wants to determine the relation that exists between a child's height, x, and head circumference, y. She randomly selects 11 children from her practice, measures their heights and head circumferences and obtains the accompanying data. Complete parts (a) through (e). E Click the icon to view the data table, (a) Find the least-squares regression line treating height as the explanatory variable and head circumference as the response variable. The least-squares regression line is y=x+: (Round to four decimal places as needed.) Enter your answer in the edit fields and then click Check Answer. Data Table 5 parts remaining Clear All acer -> esc & % 2$
and head circumferences and obtai
E Click the icon to view the data
Full data set e
(a) Find the least-squares regressio
Head
Height, x circumference, Height, x circumference,
y (inches)
Head
(inches)
y (inches)
(inches)
The least-squares regression line is
(Round to four decimal places as ne
27.75
17.7
26.5
17.3
24.5
17.1
27
17.5
25.5
17.1
26.75
17.3
26
17.3
26.75
17.5
25
16.9
27.5
17.5
27.75
17.6
Enter your answer in the edit field
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5 parts
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acer
Transcribed Image Text:and head circumferences and obtai E Click the icon to view the data Full data set e (a) Find the least-squares regressio Head Height, x circumference, Height, x circumference, y (inches) Head (inches) y (inches) (inches) The least-squares regression line is (Round to four decimal places as ne 27.75 17.7 26.5 17.3 24.5 17.1 27 17.5 25.5 17.1 26.75 17.3 26 17.3 26.75 17.5 25 16.9 27.5 17.5 27.75 17.6 Enter your answer in the edit field Print Done 5 parts remaining acer
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