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) 4 6 8 11 14 16 Body Mass Index 18.1 16.8 20.6 21.5 23.8 24.5 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? If the age of a child is 6 years old, what body mass index would you predict for the child? IF NOT APPROPRIATE, WHY? What is the correlation coefficient for this problem? Do the data indicate a strong linear relationship between age and body mass index at = .01? ??

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Description: 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) 4 6 8 11 1

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College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter1: Equations And Graphs

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Problem 10T: Olympic Pole Vault The graph in Figure 7 indicates that in recent years the winning Olympic men’s...

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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)	4	6	8	11	14	16
Body Mass Index	18.1	16.8	20.6	21.5	23.8	24.5

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?

If the age of a child is 6 years old, what body mass index would you predict for the child? IF NOT APPROPRIATE, WHY?

What is the correlation coefficient for this problem?

Do the data indicate a strong linear relationship between age and body mass index at = .01?
??

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