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Di Wu

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.

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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.

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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.
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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.

Good to know

Know what's good
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, and possible dealbreakers
Examines the use of various regression techniques, from linear regression to ensemble methods, which is highly relevant to industries dealing with data science
Provides hands-on experience with real-world data scenarios, giving learners a practical edge in applying regression analysis
Builds on the foundation of supervised learning, linear regression, and other statistical concepts, making it most suitable for learners with some background in these areas
Covers advanced topics like regularization techniques and ensemble methods, catering to intermediate learners seeking to deepen their understanding of regression analysis
Taught by Dr. Di Wu, who has expertise in machine learning and data analytics, ensuring learners benefit from industry insights and research-backed knowledge
Requires proficiency in a programming language for completing assignments and exercises, potentially posing a barrier for complete beginners

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Activities

Be better prepared before your course. Deepen your understanding during and after it. Supplement your coursework and achieve mastery of the topics covered in Regression Analysis with these activities:
Review linear algebra concepts
Review linear algebra basics like matrices, vectors, and linear transformations to excel in regression analysis.
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  • Brush up on matrix operations (addition, subtraction, multiplication, determinant)
  • Revisit concepts of vector spaces, subspaces, and their properties
  • Review linear transformations, their properties, and representation as matrices
Review Linear Regression Concepts and Assumptions
Strengthen your foundation by reviewing the fundamentals of linear regression, including its key concepts and underlying assumptions. This will ensure a solid understanding before delving into more advanced topics.
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  • Review the principles of linear regression and its mathematical formulation.
  • Explore the assumptions of linear regression and their implications.
Review Cross-Validation Techniques for Model Optimization
Enhance your understanding of cross-validation techniques to optimize your regression models. This will equip you with the knowledge and skills to effectively assess model performance and select the best hyperparameters.
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  • Review the principles and types of cross-validation.
  • Apply cross-validation to your regression models.
  • Interpret the results and make informed decisions on model selection.
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Peer Review and Discussion on Regression Model Evaluation
Engage in peer review and discussion sessions to refine your understanding of regression model evaluation techniques and metrics. This collaborative learning experience will enhance your ability to assess model performance critically.
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  • Prepare your regression model and evaluation metrics.
  • Participate in peer review sessions, providing feedback and suggestions.
  • Discuss and compare different evaluation approaches.
Regularization Techniques for Enhanced Model Accuracy
Explore regularization techniques such as Ridge, Lasso, and Elastic Net through guided tutorials. This will empower you to improve model generalization and prevent overfitting in regression analysis.
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  • Understand the principles and benefits of regularization.
  • Apply Ridge, Lasso, and Elastic Net techniques to regression models.
  • Compare and evaluate the performance of different regularization methods.
Practice Polynomial Regression for Nonlinear Relationships
Enhance your understanding of polynomial regression by working through practice problems, solidifying your ability to capture nonlinear relationships between variables.
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  • Review the core concepts of polynomial regression.
  • Solve a series of practice problems involving different polynomial degrees.
  • Analyze the results of your fitted polynomial models.
Attend a Workshop on Ensemble Methods for Regression
Expand your knowledge and skills by attending a workshop focused on ensemble methods for regression. This will provide an immersive learning experience to enhance your understanding of techniques like bagging, boosting, and stacking.
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  • Identify and register for a relevant workshop.
  • Attend the workshop and actively participate in discussions.
  • Apply the learned techniques to your own regression projects.
Participate in a Kaggle Regression Challenge
Challenge yourself by participating in a Kaggle regression competition. This will provide a highly engaging and practical environment to test your skills, learn from others, and showcase your expertise in regression analysis.
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  • Select and familiarize yourself with a Kaggle regression competition.
  • Develop and refine your regression model.
  • Submit your model and track its performance on the leaderboard.
  • Analyze the results and seek feedback from the community.

Career center

Learners who complete Regression Analysis will develop knowledge and skills that may be useful to these careers:
Machine Learning Engineer
Regression analysis is one of the most important supervised learning methods and machine learning engineers use it to build predictive models. In this course, you will learn the principles of regression analysis, as well as advanced topics such as regularization techniques and ensemble methods. This knowledge will help you build more accurate and robust machine learning models. Taking this course is a great way to enhance your skills as a machine learning engineer.
Business Analyst
Regression analysis is a valuable tool for business analysts as it allows them to identify relationships between variables and make predictions. This knowledge can be used to improve decision-making, optimize business processes, and increase profits. In this course, you will learn the fundamentals of regression analysis and how to apply it to business data. Taking this course will help you become a more effective business analyst.
Quantitative Analyst
Regression analysis is widely used in quantitative finance, particularly in risk management and portfolio optimization. Quantitative analysts use regression analysis to identify relationships between financial variables and make predictions about future market behavior. Taking this course will help you develop the skills and knowledge necessary to succeed as a quantitative analyst.
Statistician
Statisticians use regression analysis to analyze data and draw conclusions. This knowledge is essential for a variety of fields, including public health, economics, and social science. In this course, you will learn the principles of regression analysis and how to apply it to real-world data. Taking this course will help you become a more effective statistician.
Data Analyst
Regression analysis is a core skill for data analysts as it allows them to identify relationships between variables and make predictions. In this course, you will learn the fundamentals of regression analysis and how to apply it to real-world data. This knowledge is extremely valuable for data analysts, who often use regression analysis to identify trends, make predictions, and solve problems. Taking this course will help you build a strong foundation in regression analysis, which is essential for a successful career as a data analyst.
Financial Analyst
Regression analysis is used extensively in financial analysis to identify relationships between financial variables and make predictions about future market behavior. Financial analysts use regression analysis to value companies, assess risk, and make investment decisions. In this course, you will learn the fundamentals of regression analysis and how to apply it to financial data. Taking this course will help you become a more effective financial analyst.
Data Scientist
Data scientists use regression analysis to identify patterns and trends in data. This knowledge is essential for building predictive models, making informed decisions, and solving complex problems. In this course, you will learn the fundamentals of regression analysis and how to apply it to real-world data. Taking this course will help you become a more effective data scientist.
Sales Manager
Regression analysis can be used to identify relationships between sales variables and customer behavior. This knowledge can be used to develop more effective sales strategies, optimize sales processes, and increase sales revenue. In this course, you will learn the fundamentals of regression analysis and how to apply it to sales data. Taking this course will help you become a more effective sales manager.
Healthcare Analyst
Regression analysis is used extensively in healthcare to analyze healthcare outcomes and improve patient care. Healthcare analysts use regression analysis to identify relationships between patient characteristics and health outcomes. In this course, you will learn the fundamentals of regression analysis and how to apply it to healthcare data. Taking this course will help you become a more effective healthcare analyst.
Marketing Analyst
Regression analysis can be used to identify relationships between marketing variables and consumer behavior. This knowledge can be used to develop more effective marketing campaigns, optimize marketing spend, and increase sales. In this course, you will learn the fundamentals of regression analysis and how to apply it to marketing data. Taking this course will help you become a more effective marketing analyst.
Product Manager
Regression analysis can be used to identify relationships between product features and customer satisfaction. This knowledge can be used to develop better products, improve customer experience, and increase profits. In this course, you will learn the fundamentals of regression analysis and how to apply it to product data. Taking this course will help you become a more effective product manager.
Operations Manager
Regression analysis can be used to identify relationships between operational variables and business outcomes. This knowledge can be used to improve operational efficiency, reduce costs, and increase profits. In this course, you will learn the fundamentals of regression analysis and how to apply it to operational data. Taking this course will help you become a more effective operations manager.
Risk Manager
Regression analysis can be used to identify relationships between risk variables and business outcomes. This knowledge can be used to develop more effective risk management strategies, reduce risk exposure, and protect the organization from financial losses. In this course, you will learn the fundamentals of regression analysis and how to apply it to risk data. Taking this course will help you become a more effective risk manager.
Supply Chain Manager
Regression analysis can be used to identify relationships between supply chain variables and business outcomes. This knowledge can be used to improve supply chain efficiency, reduce costs, and increase customer satisfaction. In this course, you will learn the fundamentals of regression analysis and how to apply it to supply chain data. Taking this course will help you become a more effective supply chain manager.
Insurance Analyst
Regression analysis is used extensively in insurance to assess risk and set premiums. Insurance analysts use regression analysis to identify relationships between risk factors and insurance claims. In this course, you will learn the fundamentals of regression analysis and how to apply it to insurance data. Taking this course will help you become a more effective insurance analyst.

Reading list

We've selected nine books that we think will supplement your learning. Use these to develop background knowledge, enrich your coursework, and gain a deeper understanding of the topics covered in Regression Analysis.
Has many chapters on regression, introducing basic models as well as more advanced models and techniques such as regularization and cross-validation.
Provides a comprehensive overview of regression models for time series analysis, including many real-world examples and exercises. It is written in a clear and concise style.
Provides a comprehensive coverage of linear regression, both from a theoretical and practical perspective. It includes examples and exercises.
Provides a practical guide to regression analysis using the R programming language. It includes many real-world examples and exercises.
Provides a gentle introduction to regression analysis, focusing on Bayesian methods. It is written in a conversational style.
Good introduction to generalized linear models, which can be used for binary or count data, among other types of data.

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