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A researcher conducted a study about the hemoglobin levels among menopausal and non-menopausal women. For this purpose, a data of 20 women with the following information were collected: Hemoglobin Level (g/dl), Age, and Menopausal Status (yes/no). The researcher decided to conduct a multiple logistic regression analysis to find the effects of hemoglobin level, and age on menopausal status. The result of the analysis is given in the table below. Variable Coefficient Standard p- Estimate Error value Intercept -15.94 8.35 Hemoglobin -2.61 level Age 1.03 0.89 0.003 0.37 0.011

A researcher conducted a study about the hemoglobin levels among menopausal and non-menopausal women. For this purpose, a data of 20 women with the following information were collected: Hemoglobin Level (g/dl), Age, and Menopausal Status (yes/no). The researcher decided to conduct a multiple logistic regression analysis to find the effects of hemoglobin level, and age on menopausal status. The result of the analysis is given in the table below. Variable Coefficient Standard p- Estimate Error value Intercept -15.94 8.35 Hemoglobin -2.61 level Age 1.03 0.89 0.003 0.37 0.011

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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What is the mathematical representation for the multiple logistic regression model in photo? 

A researcher conducted a study about the hemoglobin levels among menopausal and non-menopausal women. For this purpose, data from 20 women with the following information were collected: Hemoglobin Level (g/dl), Age, and Menopausal Status (yes/no). The researcher conducted a multiple logistic regression analysis to find the effects of hemoglobin level and age on menopausal status. The result of the analysis is given in the table below. | Variable | Coefficient Estimate | Standard Error | p-value | |-------------------|----------------------|----------------|---------| | Intercept | -15.94 | 8.35 | | | Hemoglobin level | -2.61 | 0.89 | 0.003 | | Age | 1.03 | 0.37 | 0.011 | ### Explanation of Table - **Intercept**: The coefficient estimate for the intercept is -15.94, with a standard error of 8.35. This term represents the baseline level of the dependent variable when all predictors are zero. - **Hemoglobin level**: The coefficient estimate is -2.61, with a standard error of 0.89. The p-value is 0.003, indicating that hemoglobin level has a statistically significant effect on menopausal status. - **Age**: The coefficient estimate is 1.03, with a standard error of 0.37. The p-value of 0.011 suggests that age also has a statistically significant effect on menopausal status.
Transcribed Image Text:A researcher conducted a study about the hemoglobin levels among menopausal and non-menopausal women. For this purpose, data from 20 women with the following information were collected: Hemoglobin Level (g/dl), Age, and Menopausal Status (yes/no). The researcher conducted a multiple logistic regression analysis to find the effects of hemoglobin level and age on menopausal status. The result of the analysis is given in the table below. | Variable | Coefficient Estimate | Standard Error | p-value | |-------------------|----------------------|----------------|---------| | Intercept | -15.94 | 8.35 | | | Hemoglobin level | -2.61 | 0.89 | 0.003 | | Age | 1.03 | 0.37 | 0.011 | ### Explanation of Table - **Intercept**: The coefficient estimate for the intercept is -15.94, with a standard error of 8.35. This term represents the baseline level of the dependent variable when all predictors are zero. - **Hemoglobin level**: The coefficient estimate is -2.61, with a standard error of 0.89. The p-value is 0.003, indicating that hemoglobin level has a statistically significant effect on menopausal status. - **Age**: The coefficient estimate is 1.03, with a standard error of 0.37. The p-value of 0.011 suggests that age also has a statistically significant effect on menopausal status.
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