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Variable Study duration (SDURATION) Intercept Coefficient Estimate Standard Error 0.57 0.11 3.69 0.72 P Value 0.00 0.00

Variable Study duration (SDURATION) Intercept Coefficient Estimate Standard Error 0.57 0.11 3.69 0.72 P Value 0.00 0.00

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 choice is the best representation of the related logistic regression model? 

In the image above, various equations are presented as choices, presumably for an exercise or question related to probability or statistics. The equations involve the concepts of pass and fail probabilities, using the term **SDURATION**, which seems to represent a variable, possibly related to the duration of an event. ### Equations: - **Choice 1**: \( \text{PASS} = 0.57 + 3.69 \times \text{SDURATION} \) - **Choice 2**: \( \text{PASS} = 3.69 + 0.57 \times \text{SDURATION} \) - **Choice 3**: \( \frac{\text{PASS}}{\text{FAIL}} = 3.69 + 0.57 \times \text{SDURATION} \) - **Choice 4**: \( \frac{P(\text{PASS})}{F(\text{FAIL})} = 3.69 + 0.57 \times \text{SDURATION} \) - **Choice 5**: \( \frac{\text{PASS}}{\text{FAIL}} = 0.57 + 3.69 \times \text{SDURATION} \) - **Choice 6**: \( \frac{P(\text{PASS})}{P(\text{FAIL})} = 0.57 + 3.69 \times \text{SDURATION} \) - **Choice 7**: \( \ln \left( \frac{P(\text{PASS})}{F(\text{FAIL})} \right) = 3.69 + 0.57 \times \text{SDURATION} \) - **Choice 8**: \( \ln \left( \frac{P(\text{PASS})}{F(\text{FAIL})} \right) = 0.57 + 3.69 \times \text{SDURATION} \) ### Explanation of Components: - **PASS and FAIL**: These terms might refer to successful and unsuccessful outcomes of a process or experiment. - **P(PASS) and P(FAIL)**: These typically denote the probability of passing or failing, respectively. - **SDURATION**: Likely a variable affecting the outcome, which stands for some duration-related metric. - **\(\ln\)**
Transcribed Image Text:In the image above, various equations are presented as choices, presumably for an exercise or question related to probability or statistics. The equations involve the concepts of pass and fail probabilities, using the term **SDURATION**, which seems to represent a variable, possibly related to the duration of an event. ### Equations: - **Choice 1**: \( \text{PASS} = 0.57 + 3.69 \times \text{SDURATION} \) - **Choice 2**: \( \text{PASS} = 3.69 + 0.57 \times \text{SDURATION} \) - **Choice 3**: \( \frac{\text{PASS}}{\text{FAIL}} = 3.69 + 0.57 \times \text{SDURATION} \) - **Choice 4**: \( \frac{P(\text{PASS})}{F(\text{FAIL})} = 3.69 + 0.57 \times \text{SDURATION} \) - **Choice 5**: \( \frac{\text{PASS}}{\text{FAIL}} = 0.57 + 3.69 \times \text{SDURATION} \) - **Choice 6**: \( \frac{P(\text{PASS})}{P(\text{FAIL})} = 0.57 + 3.69 \times \text{SDURATION} \) - **Choice 7**: \( \ln \left( \frac{P(\text{PASS})}{F(\text{FAIL})} \right) = 3.69 + 0.57 \times \text{SDURATION} \) - **Choice 8**: \( \ln \left( \frac{P(\text{PASS})}{F(\text{FAIL})} \right) = 0.57 + 3.69 \times \text{SDURATION} \) ### Explanation of Components: - **PASS and FAIL**: These terms might refer to successful and unsuccessful outcomes of a process or experiment. - **P(PASS) and P(FAIL)**: These typically denote the probability of passing or failing, respectively. - **SDURATION**: Likely a variable affecting the outcome, which stands for some duration-related metric. - **\(\ln\)**
**Regression Analysis Summary** This table illustrates the results of a regression analysis evaluating the impact of study duration on an outcome of interest. The analysis includes the following components: - **Variable**: - Study duration (labeled as SDURATION) - Intercept - **Coefficient Estimate**: - Represents the expected change in the outcome for each unit increase in the study duration. - Study Duration: 0.57 - Intercept: 3.69 - **Standard Error**: - Measures the accuracy of the coefficient estimate. - Study Duration: 0.11 - Intercept: 0.72 - **P Value**: - Indicates the statistical significance of the coefficient estimates. - Both Study Duration and Intercept have a p-value of 0.00, suggesting high statistical significance. This regression model suggests a positive relationship between study duration and the outcome, with statistically significant results.
Transcribed Image Text:**Regression Analysis Summary** This table illustrates the results of a regression analysis evaluating the impact of study duration on an outcome of interest. The analysis includes the following components: - **Variable**: - Study duration (labeled as SDURATION) - Intercept - **Coefficient Estimate**: - Represents the expected change in the outcome for each unit increase in the study duration. - Study Duration: 0.57 - Intercept: 3.69 - **Standard Error**: - Measures the accuracy of the coefficient estimate. - Study Duration: 0.11 - Intercept: 0.72 - **P Value**: - Indicates the statistical significance of the coefficient estimates. - Both Study Duration and Intercept have a p-value of 0.00, suggesting high statistical significance. This regression model suggests a positive relationship between study duration and the outcome, with statistically significant results.
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