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Find the predicted probability of passing the course for students who study 1 hour per day

Find the predicted probability of passing the course for students who study 1 hour per day

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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Find the predicted probability of passing the course for students who study 1 hour per day. 

The text explores the relationship between study duration per day (ranging from 0 to 8 hours) and the passing of an academic course, coded as Pass=1 and Fail=0. To investigate this, a sample of 36 students from Shippensburg University was chosen. A logistic regression model was used, and the summary of this model is presented in the table below: | Variable | Coefficient value | Standard error | p-value | |----------------------------|-------------------|----------------|---------| | Study duration (SDURATION) | 0.57 | 0.11 | 0.00 | | Intercept | 3.69 | 0.72 | 0.00 | **Explanation**: - **Study duration (SDURATION)**: The coefficient value of 0.57 indicates a positive relationship between study duration and passing the course. - **Intercept**: The intercept value is 3.69. - **Standard error**: It shows the accuracy of the coefficient estimates. - **p-value**: A p-value of 0.00 suggests that the results are statistically significant.
Transcribed Image Text:The text explores the relationship between study duration per day (ranging from 0 to 8 hours) and the passing of an academic course, coded as Pass=1 and Fail=0. To investigate this, a sample of 36 students from Shippensburg University was chosen. A logistic regression model was used, and the summary of this model is presented in the table below: | Variable | Coefficient value | Standard error | p-value | |----------------------------|-------------------|----------------|---------| | Study duration (SDURATION) | 0.57 | 0.11 | 0.00 | | Intercept | 3.69 | 0.72 | 0.00 | **Explanation**: - **Study duration (SDURATION)**: The coefficient value of 0.57 indicates a positive relationship between study duration and passing the course. - **Intercept**: The intercept value is 3.69. - **Standard error**: It shows the accuracy of the coefficient estimates. - **p-value**: A p-value of 0.00 suggests that the results are statistically significant.
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