Find the equation for the regression line.  Is the y-intercept in this equation useful as a predictor of BMI?  WHY OR WHY NOT?  Interpret the slope in terms of this problem.  Explain the meaning of the coefficient of determination in terms of this problem.  If the age of a child is 9 years old, what body mass index would you predict for the child?  IF NOT APPROPRIATE, WHY?

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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  1. A researcher examined the problem of obesity among boys and girls.  A random sample of six children gave the following data on age and body mass index.  The distributions were assumed normal and the standard deviations equal. 

Age(in years) 

11 

14 

16 

Body Mass Index 

18.1 

16.8 

20.6 

21.5 

23.8 

24.5 

 

  1. Find the equation for the regression line. 
  1. Is the y-intercept in this equation useful as a predictor of BMI?  WHY OR WHY NOT? 
  1. Interpret the slope in terms of this problem. 
  1. Explain the meaning of the coefficient of determination in terms of this problem. 
  1. If the age of a child is 9 years old, what body mass index would you predict for the child?  IF NOT APPROPRIATE, WHY? 
  1. If the age of a child is 6 years old, what body mass index would you predict for the child? IF NOT APPROPRIATE, WHY? 
  1. What is the correlation coefficient for this problem? 
  1. Do the data indicate a strong linear relationship between age and body mass index at = .01? 
  2. ??
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