The World Health Organization defines obesity in adults as having a body mass index (BMI) higher than

Question:

The World Health Organization defines obesity in

adults as having a body mass index (BMI) higher than 30. Of the

250 men in the study mentioned in Exercise 11-1, 23 are by this

definition obese. How good is waist (size in inches) as a predictor

of obesity? A logistic regression model was fit to the data:

image

where p is the probability of being classified as obese.

(a) Does the probability of being classified as obese increase or

decrease as a function of waist size? Explain.

(b) What is the estimated probability of being classified as

obese for a man with a waist size of 36 inches?

(c) What is the estimated probability of being classified as

obese for a man with a waist size of 42 inches?

(d) What is the estimated probability of being classified as

obese for a man with a waist size of 48 inches?

(e) Make a plot of the estimated probability of being classified

as obese as a function of waist size.

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Related Book For  book-img-for-question

Applied Statistics And Probability For Engineers

ISBN: 9781118539712

6th Edition

Authors: Douglas C. Montgomery, George C. Runger

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