Suppose that the log-odds of contracting COVID were modeled as a function of living situation. Based on the data collected, indicator variables representing living situations were defined as follows: Z1 = Lived in apartment building with single nuclear family (e.g., parents and children) Z2 = Lived in apartment building with a single family including multiple generations (>2 generations) Z3 = Lived in single-home or town house with multiple families Z4 = Lived in single-home or town house with a single family including multiple generations (>2 generations) Reference category: Lived in single home or town house with single nuclear family The fitted logistic regression equation was found to be: ogit-0.20 +0.10 Z1 + 0.30*Z2 +0.45*Z3+ 0.20*Z4. What is the odds-ratio representing the odds of being infected with COVID for a person from single nuclear family
Suppose that the log-odds of contracting COVID were modeled as a function of living situation. Based on the data collected, indicator variables representing living situations were defined as follows: Z1 = Lived in apartment building with single nuclear family (e.g., parents and children) Z2 = Lived in apartment building with a single family including multiple generations (>2 generations) Z3 = Lived in single-home or town house with multiple families Z4 = Lived in single-home or town house with a single family including multiple generations (>2 generations) Reference category: Lived in single home or town house with single nuclear family The fitted logistic regression equation was found to be: ogit-0.20 +0.10 Z1 + 0.30*Z2 +0.45*Z3+ 0.20*Z4. What is the odds-ratio representing the odds of being infected with COVID for a person from single nuclear family
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![**Living Situation and COVID-19 Risk Analysis**
Researchers modeled the log-odds of contracting COVID-19 as a function of living situation. Based on the data collected, indicator variables for living situations were defined as follows:
- **Z1**: Lived in an apartment building with a single nuclear family (e.g., parents and children).
- **Z2**: Lived in an apartment building with a single family including multiple generations (more than two generations).
- **Z3**: Lived in a single-home or townhouse with multiple families.
- **Z4**: Lived in a single-home or townhouse with a single family including multiple generations (more than two generations).
**Reference Category**: Lived in a single home or townhouse with a single nuclear family.
The fitted logistic regression equation was determined to be:
\[ \text{logit} = 0.20 + 0.10 \ast Z1 + 0.30 \ast Z2 + 0.45 \ast Z3 + 0.20 \ast Z4 \]
**Odds-Ratio Question**: Calculate the odds ratio representing the likelihood of being infected with COVID-19 for a person from a single nuclear family living in an apartment compared to a single nuclear family living in a single home.
**Instructions**: Enter your answer to three decimal places.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F48993cee-6cc3-4e73-bc79-b92a75365418%2F1e975be5-a4ea-4e7c-b5b0-18e2b900693c%2Frlqn07i_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Living Situation and COVID-19 Risk Analysis**
Researchers modeled the log-odds of contracting COVID-19 as a function of living situation. Based on the data collected, indicator variables for living situations were defined as follows:
- **Z1**: Lived in an apartment building with a single nuclear family (e.g., parents and children).
- **Z2**: Lived in an apartment building with a single family including multiple generations (more than two generations).
- **Z3**: Lived in a single-home or townhouse with multiple families.
- **Z4**: Lived in a single-home or townhouse with a single family including multiple generations (more than two generations).
**Reference Category**: Lived in a single home or townhouse with a single nuclear family.
The fitted logistic regression equation was determined to be:
\[ \text{logit} = 0.20 + 0.10 \ast Z1 + 0.30 \ast Z2 + 0.45 \ast Z3 + 0.20 \ast Z4 \]
**Odds-Ratio Question**: Calculate the odds ratio representing the likelihood of being infected with COVID-19 for a person from a single nuclear family living in an apartment compared to a single nuclear family living in a single home.
**Instructions**: Enter your answer to three decimal places.
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