MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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A survey was conducted and asked: "Do you consider your health to be poor?" This was coded as 1 for "yes" and 0 for "no."
The effect of age (in years) and sex (1 male, 0 = female) on the outcome was examined using logistic regression. The
fitted logistic model is:
=
logit(ô) = −0.544 + ß * sex + 0.0331 * age
(a) What are the odds of responding "yes" for a female subject who is 60 years old?
(b) What is the estimated odds ratio corresponding to the age variable? Interpret this estimate.
(c) Suppose that, based on the data from the survey, the odds of responding "yes" for males are 3.79% greater than the
odds for females, adjusting for age. What is the value of Â?
(d) If we only wanted to assess the association between survey response (yes/no) and sex, what other method(s) (that
we have learned in this class) could we have used (name at least one)? In your own words, explain why we cannot
use the same method(s) if we want to consider the effects of both sex and age on survey response.
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Transcribed Image Text:A survey was conducted and asked: "Do you consider your health to be poor?" This was coded as 1 for "yes" and 0 for "no." The effect of age (in years) and sex (1 male, 0 = female) on the outcome was examined using logistic regression. The fitted logistic model is: = logit(ô) = −0.544 + ß * sex + 0.0331 * age (a) What are the odds of responding "yes" for a female subject who is 60 years old? (b) What is the estimated odds ratio corresponding to the age variable? Interpret this estimate. (c) Suppose that, based on the data from the survey, the odds of responding "yes" for males are 3.79% greater than the odds for females, adjusting for age. What is the value of Â? (d) If we only wanted to assess the association between survey response (yes/no) and sex, what other method(s) (that we have learned in this class) could we have used (name at least one)? In your own words, explain why we cannot use the same method(s) if we want to consider the effects of both sex and age on survey response.
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