The "Regression Analysis" course equips students with the fundamental concepts of one of the most important supervised learning methods, regression. Participants will explore various regression techniques and learn how to evaluate them effectively. Additionally, students will gain expertise in advanced topics, including polynomial regression, regularization techniques (Ridge, Lasso, and Elastic Net), cross-validation, and ensemble methods (bagging, boosting, and stacking). Through interactive tutorials and practical case studies, students will gain hands-on experience in applying regression analysis to real-world data scenarios.
By the end of this course, students will be able to:
1. Understand the principles and significance of regression analysis in supervised learning.
2. Grasp the concepts and applications of linear regression and its interpretation in real-world datasets.
3. Explore polynomial regression to capture nonlinear relationships between variables.
4. Apply regularization techniques (Ridge, Lasso, and Elastic Net) to prevent overfitting and improve model generalization.
5. Implement cross-validation methods to assess model performance and optimize hyperparameters.
6. Comprehend ensemble methods (bagging, boosting, and stacking) and their role in enhancing regression model accuracy.
7. Evaluate and compare the performance of different regression models using appropriate metrics.
8. Apply regression analysis techniques to real-world case studies, making data-driven decisions.
Throughout the course, students will actively engage in tutorials and case studies, strengthening their regression analysis skills and gaining practical experience in applying regression techniques to diverse datasets. By achieving the learning objectives, participants will be well-equipped to excel in regression analysis tasks and make informed decisions using regression models.
Overview
Syllabus
- Introduction to Regression and Linear Regression
- This week provides an introduction to regression analysis as a powerful supervised learning method. You will delve into the concepts of linear regression, understanding its principles, assumptions, and practical applications.
- Polynomial Regression
- This week you will explore polynomial regression, an advanced technique used to capture nonlinear relationships between variables.
- Regularization
- This week focuses on regularization techniques, including Ridge, Lasso, and Elastic Net, which help prevent overfitting and improve the generalization of regression models.
- Evaluation and Cross Validation
- Throughout this week, you will explore evaluation metrics and cross-validation techniques to assess and optimize regression model performance.
- Ensemble Methods
- This week explores ensemble methods in regression analysis, including bagging and boosting, to combine multiple models for improved prediction accuracy.
- Case Study
- The final week focuses on a comprehensive case study where you will apply regression analysis to solve a real-world problem.
Taught by
Di Wu
