Investigators evaluated the effect of education (E1=1 if college or more, E2=1 if Masters degree or more, E1-E2=0 if less than college), Mother's Education (M=1 if college or more, O otherwise), and age (A, continuous, in years) on employment status (yes/no) using the following Logistic regression model: Logit= a + B1 E1+B2*E2 + B3 A + B4*M + B5*A*M SAS was used to create the following estimates: a= -2, B1-0.2, B2-0.4, B3-0.1, B4-0.3, B5=0.02.
Investigators evaluated the effect of education (E1=1 if college or more, E2=1 if Masters degree or more, E1-E2=0 if less than college), Mother's Education (M=1 if college or more, O otherwise), and age (A, continuous, in years) on employment status (yes/no) using the following Logistic regression model: Logit= a + B1 E1+B2*E2 + B3 A + B4*M + B5*A*M SAS was used to create the following estimates: a= -2, B1-0.2, B2-0.4, B3-0.1, B4-0.3, B5=0.02.
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
Related questions
Question
For the 25 year old above with just a college degree, whose mother had a college degree calculate the probability of being employed, enter the probability to three decimal places.
![**Transcription for Educational Website:**
---
**Title:** Investigating the Impact of Education on Employment Status Using Logistic Regression
**Introduction:**
Researchers conducted a study to evaluate how educational attainment influences employment status. The study focused on different levels of education, the education level of the mother, and age. The logistic regression model was utilized to analyze these variables in relation to employment status (yes/no).
**Variables Considered:**
1. **Education Level:**
- \( E1 = 1 \) if the individual has a college degree or higher
- \( E2 = 1 \) if the individual has a Master's degree or higher
- \( E1 = E2 = 0 \) if the individual has less than a college degree
2. **Mother's Education Level:**
- \( M = 1 \) if the mother has a college degree or higher
- \( M = 0 \) otherwise
3. **Age:**
- \( A \) is a continuous variable representing the individual's age in years
**Logistic Regression Model:**
The logistic regression model used is as follows:
\[ \text{Logit} = a + B1 \ast E1 + B2 \ast E2 + B3 \ast A + B4 \ast M + B5 \ast A \ast M \]
**Estimates Derived Using SAS:**
The SAS software provided the following estimates for the coefficients:
- Constant term (\(a\)) = -2
- Coefficient for \(E1\) (\(B1\)) = 0.2
- Coefficient for \(E2\) (\(B2\)) = 0.4
- Coefficient for age (\(A\)) (\(B3\)) = 0.1
- Coefficient for mother's education (\(M\)) (\(B4\)) = 0.3
- Interaction term (Age \(\times\) Mother’s education) (\(B5\)) = 0.02
**Conclusion:**
This logistic regression model analyzes the potential impact of individual and maternal education levels, alongside age, on the likelihood of being employed. By understanding these dynamics, policymakers and educators can better address employment-related challenges.
---](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F48993cee-6cc3-4e73-bc79-b92a75365418%2F9d8416ba-7491-44e3-86a5-98675fa597e5%2F1mjtry_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Transcription for Educational Website:**
---
**Title:** Investigating the Impact of Education on Employment Status Using Logistic Regression
**Introduction:**
Researchers conducted a study to evaluate how educational attainment influences employment status. The study focused on different levels of education, the education level of the mother, and age. The logistic regression model was utilized to analyze these variables in relation to employment status (yes/no).
**Variables Considered:**
1. **Education Level:**
- \( E1 = 1 \) if the individual has a college degree or higher
- \( E2 = 1 \) if the individual has a Master's degree or higher
- \( E1 = E2 = 0 \) if the individual has less than a college degree
2. **Mother's Education Level:**
- \( M = 1 \) if the mother has a college degree or higher
- \( M = 0 \) otherwise
3. **Age:**
- \( A \) is a continuous variable representing the individual's age in years
**Logistic Regression Model:**
The logistic regression model used is as follows:
\[ \text{Logit} = a + B1 \ast E1 + B2 \ast E2 + B3 \ast A + B4 \ast M + B5 \ast A \ast M \]
**Estimates Derived Using SAS:**
The SAS software provided the following estimates for the coefficients:
- Constant term (\(a\)) = -2
- Coefficient for \(E1\) (\(B1\)) = 0.2
- Coefficient for \(E2\) (\(B2\)) = 0.4
- Coefficient for age (\(A\)) (\(B3\)) = 0.1
- Coefficient for mother's education (\(M\)) (\(B4\)) = 0.3
- Interaction term (Age \(\times\) Mother’s education) (\(B5\)) = 0.02
**Conclusion:**
This logistic regression model analyzes the potential impact of individual and maternal education levels, alongside age, on the likelihood of being employed. By understanding these dynamics, policymakers and educators can better address employment-related challenges.
---
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 3 steps with 7 images
Recommended textbooks for you
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON