We have 10 instances: 5 P and 5 N, given in the following table. Generate a ROC curve and comment on the performance of the classifier. What threshold you will choose? Justify your choice of threshold. Instance Number Class Score 1 P 0.9 0.8 3 P 0.7 4 0.6 0.55 0.5 N 7 0.4 8 N 0.3 9. N 0.2 10 N 0.1 Note: You don't need to write code: vou have to solve this problem using paper and pencil (or
We have 10 instances: 5 P and 5 N, given in the following table. Generate a ROC curve and comment on the performance of the classifier. What threshold you will choose? Justify your choice of threshold. Instance Number Class Score 1 P 0.9 0.8 3 P 0.7 4 0.6 0.55 0.5 N 7 0.4 8 N 0.3 9. N 0.2 10 N 0.1 Note: You don't need to write code: vou have to solve this problem using paper and pencil (or
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
Related questions
Question
![**Educational Content on Generating a ROC Curve**
### Introduction
In the given problem, we have 10 instances: 5 Positive (P) and 5 Negative (N). The table below shows the class and score for each instance. We are tasked to generate a Receiver Operating Characteristic (ROC) curve using this data and to evaluate the classifier's performance. Additionally, we will choose an optimal threshold and justify this choice.
### Data Table
| Instance Number | Class | Score |
|-----------------|-------|-------|
| 1 | P | 0.9 |
| 2 | P | 0.8 |
| 3 | P | 0.7 |
| 4 | P | 0.6 |
| 5 | N | 0.55 |
| 6 | N | 0.5 |
| 7 | P | 0.4 |
| 8 | N | 0.3 |
| 9 | N | 0.2 |
| 10 | N | 0.1 |
### Instructions
1. **ROC Curve Generation:**
- The ROC curve is a graphical representation of a classifier's performance. It plots the True Positive Rate (TPR) against the False Positive Rate (FPR) at various threshold settings.
- To create the ROC curve, calculate the TPR and FPR for different threshold values from the highest score to the lowest.
2. **Threshold Selection:**
- The threshold determines the score above which an instance is classified as positive.
- Choose a threshold that balances sensitivity (TPR) and specificity (1 - FPR).
3. **Justification of Threshold:**
- Justify your chosen threshold based on the problem's context. Consider the costs of false positives versus false negatives.
### Note
You do not need to write code; this exercise is intended to be solved using paper and pencil (or equivalent).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3a635735-95d3-44e8-ac8f-77d69c434691%2F45bb730c-b93d-4a2e-8dda-72b3d548ba4c%2F1whcjcn_processed.png&w=3840&q=75)
Transcribed Image Text:**Educational Content on Generating a ROC Curve**
### Introduction
In the given problem, we have 10 instances: 5 Positive (P) and 5 Negative (N). The table below shows the class and score for each instance. We are tasked to generate a Receiver Operating Characteristic (ROC) curve using this data and to evaluate the classifier's performance. Additionally, we will choose an optimal threshold and justify this choice.
### Data Table
| Instance Number | Class | Score |
|-----------------|-------|-------|
| 1 | P | 0.9 |
| 2 | P | 0.8 |
| 3 | P | 0.7 |
| 4 | P | 0.6 |
| 5 | N | 0.55 |
| 6 | N | 0.5 |
| 7 | P | 0.4 |
| 8 | N | 0.3 |
| 9 | N | 0.2 |
| 10 | N | 0.1 |
### Instructions
1. **ROC Curve Generation:**
- The ROC curve is a graphical representation of a classifier's performance. It plots the True Positive Rate (TPR) against the False Positive Rate (FPR) at various threshold settings.
- To create the ROC curve, calculate the TPR and FPR for different threshold values from the highest score to the lowest.
2. **Threshold Selection:**
- The threshold determines the score above which an instance is classified as positive.
- Choose a threshold that balances sensitivity (TPR) and specificity (1 - FPR).
3. **Justification of Threshold:**
- Justify your chosen threshold based on the problem's context. Consider the costs of false positives versus false negatives.
### Note
You do not need to write code; this exercise is intended to be solved using paper and pencil (or equivalent).
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 1 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, computer-science and related others by exploring similar questions and additional content below.Recommended textbooks for you
![Database System Concepts](https://www.bartleby.com/isbn_cover_images/9780078022159/9780078022159_smallCoverImage.jpg)
Database System Concepts
Computer Science
ISBN:
9780078022159
Author:
Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:
McGraw-Hill Education
![Starting Out with Python (4th Edition)](https://www.bartleby.com/isbn_cover_images/9780134444321/9780134444321_smallCoverImage.gif)
Starting Out with Python (4th Edition)
Computer Science
ISBN:
9780134444321
Author:
Tony Gaddis
Publisher:
PEARSON
![Digital Fundamentals (11th Edition)](https://www.bartleby.com/isbn_cover_images/9780132737968/9780132737968_smallCoverImage.gif)
Digital Fundamentals (11th Edition)
Computer Science
ISBN:
9780132737968
Author:
Thomas L. Floyd
Publisher:
PEARSON
![Database System Concepts](https://www.bartleby.com/isbn_cover_images/9780078022159/9780078022159_smallCoverImage.jpg)
Database System Concepts
Computer Science
ISBN:
9780078022159
Author:
Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:
McGraw-Hill Education
![Starting Out with Python (4th Edition)](https://www.bartleby.com/isbn_cover_images/9780134444321/9780134444321_smallCoverImage.gif)
Starting Out with Python (4th Edition)
Computer Science
ISBN:
9780134444321
Author:
Tony Gaddis
Publisher:
PEARSON
![Digital Fundamentals (11th Edition)](https://www.bartleby.com/isbn_cover_images/9780132737968/9780132737968_smallCoverImage.gif)
Digital Fundamentals (11th Edition)
Computer Science
ISBN:
9780132737968
Author:
Thomas L. Floyd
Publisher:
PEARSON
![C How to Program (8th Edition)](https://www.bartleby.com/isbn_cover_images/9780133976892/9780133976892_smallCoverImage.gif)
C How to Program (8th Edition)
Computer Science
ISBN:
9780133976892
Author:
Paul J. Deitel, Harvey Deitel
Publisher:
PEARSON
![Database Systems: Design, Implementation, & Manag…](https://www.bartleby.com/isbn_cover_images/9781337627900/9781337627900_smallCoverImage.gif)
Database Systems: Design, Implementation, & Manag…
Computer Science
ISBN:
9781337627900
Author:
Carlos Coronel, Steven Morris
Publisher:
Cengage Learning
![Programmable Logic Controllers](https://www.bartleby.com/isbn_cover_images/9780073373843/9780073373843_smallCoverImage.gif)
Programmable Logic Controllers
Computer Science
ISBN:
9780073373843
Author:
Frank D. Petruzella
Publisher:
McGraw-Hill Education