The National Survey of Drug Use and Health is a large annual cross-sectional survey of drug use in the United States. Using data from this survey, researchers wanted to assess the relationship between region in the country (Northeast, Midwest, South, and West) and past-month marijuana use among 18-25-year-olds. They obtained the following logistic regression model from the data: 1)What are the log odds of past-month marijuana use among 18-25-year-olds in the Midwest? 2)What is the probability of past-month marijuana use among 18-25-year-olds in the Northeast? 3)The odds of past-month marijuana use for 18-25-year-olds in the South is _______ times the odds of past-month marijuana use for 18-25-year-olds in the Northeast.

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
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Chapter6: Exponential And Logarithmic Functions
Section6.8: Fitting Exponential Models To Data
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The National Survey of Drug Use and Health is a large annual cross-sectional survey of drug use in the United States. Using data from this survey, researchers wanted to assess the relationship between region in the country (Northeast, Midwest, South, and West) and past-month marijuana use among 18-25-year-olds. They obtained the following logistic regression model from the data:

1)What are the log odds of past-month marijuana use among 18-25-year-olds in the Midwest?

2)What is the probability of past-month marijuana use among 18-25-year-olds in the Northeast?

3)The odds of past-month marijuana use for 18-25-year-olds in the South is _______ times the odds of past-month marijuana use for 18-25-year-olds in the Northeast.

The National Survey of Drug Use and Health is a large annual cross-sectional survey of drug use in
the United States. Using data from this survey, researchers wanted to assess the relationship
between region in the country (Northeast, Midwest, South, and West) and past-month marijuana
use among 18-25-year-olds. They obtained the following logistic regression model from the data:
logit (↑)
where
=
−1.113 – 0.162 * X₁į − 0.345 * X2i + 0.041 * X3i
1i
T₁ = P(past month use = 1|X1, X2i, X3i)
πi
X₁i = 1 if Midwest, 0 otherwise
X2i = 1 if South, 0 otherwise
X3i = 1 if West, 0 otherwise
Transcribed Image Text:The National Survey of Drug Use and Health is a large annual cross-sectional survey of drug use in the United States. Using data from this survey, researchers wanted to assess the relationship between region in the country (Northeast, Midwest, South, and West) and past-month marijuana use among 18-25-year-olds. They obtained the following logistic regression model from the data: logit (↑) where = −1.113 – 0.162 * X₁į − 0.345 * X2i + 0.041 * X3i 1i T₁ = P(past month use = 1|X1, X2i, X3i) πi X₁i = 1 if Midwest, 0 otherwise X2i = 1 if South, 0 otherwise X3i = 1 if West, 0 otherwise
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