The average gestational age (time from conception to birth) of a newborn infant is about 40 weeks.  The following data presents the gestational age in weeks and corresponding mean birth weight in pounds for female infants born in Canada.  Find the least-squares regression line for predicting the birth weight from the gestational age.  You should be able to grab the data in the table, copy it, and paste it in Excel.  You would then select the data in Excel, Insert a Scatter Chart and then under Trendline, check the two boxes at the bottom to display the equation and the R-squa

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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The average gestational age (time from conception to birth) of a newborn infant is about 40 weeks.  The following data presents the gestational age in weeks and corresponding mean birth weight in pounds for female infants born in Canada.  Find the least-squares regression line for predicting the birth weight from the gestational age.  You should be able to grab the data in the table, copy it, and paste it in Excel.  You would then select the data in Excel, Insert a Scatter Chart and then under Trendline, check the two boxes at the bottom to display the equation and the R-squared.

Gestational Age Birth Weight
36 6.1
37 6.6
38 7.0
39 7.4
40 7.7
41 7.9
42 8.0
43 8.1
 
A. y= 3.2787x + 15.402
B. y= 15.402x + 3.2787
C. y= 0.2857x - 3.9357
D. Y= 3.9357X + 0.2857
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Same data from last answer, if a correlation coefficient of r=0.9679 is calculated, how much of the variation in birth weight is explained by the least-squares regression line?

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