15 Children in grade six take two exams each: one on math and one on vocabulary. For each exam, larger scores are better. One child, Eric, scores 40 on the math test and 60 on the vocabulary test. Erics cored 5points below the mean on the math exam. Eric scored 10 points above the mean on the vocabulary exam. Diane obtains the regression line for using the math score to predict the vocabulary score. According to her line, Eric scored 10 points lower than predicted.

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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15
Children in grade six take two exams
each: one on math and one on vocabulary. For each
exam, larger scores are better.
One child, Eric, scores 40 on the math test and 60 on
the vocabulary test.
Erics cored 5points below the mean on the
math exam.
Eric scored 10 points above the mean on the
vocabulary exam.
Diane obtains the regression line for using the
math score to predict the vocabulary score.
According to her line, Eric scored 10 points lower
than predicted.
Use the above information to obtain Diane's
regression line.
Transcribed Image Text:15 Children in grade six take two exams each: one on math and one on vocabulary. For each exam, larger scores are better. One child, Eric, scores 40 on the math test and 60 on the vocabulary test. Erics cored 5points below the mean on the math exam. Eric scored 10 points above the mean on the vocabulary exam. Diane obtains the regression line for using the math score to predict the vocabulary score. According to her line, Eric scored 10 points lower than predicted. Use the above information to obtain Diane's regression line.
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