This book offers a detailed yet approachable introduction to linear regression, blending mathematical theory with Python-based practical applications. Beginning with fundamentals, it explains the best-fitting line, regression and causation, and statistical measures like variance, correlation, and the coefficient of determination. Clear examples and Python code ensure readers can connect theory to implementation.
As the journey continues, readers explore statistical significance through concepts like t-tests, z-tests, and p-values, understanding how to assess slopes, intercepts, and overall model fit. Advanced chapters cover multivariate regression, introducing matrix formulations, the best-fitting plane, and methods to handle multiple variables. Topics such as Bayesian regression, nonlinear models, and weighted regression are explored in depth, with step-by-step coding guides for hands-on practice.
The final sections tie together these techniques with maximum likelihood estimation and practical summaries. Appendices provide resources such as matrix tutorials, key equations, and mathematical symbols. Designed for both beginners and professionals, this book ensures a structured learning experience. Basic mathematical knowledge or foundation is recommended.

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Spis treści

Linear Regression With Python. A Tutorial Introduction to the Mathematics of Regression Analysis eBook -- spis treści

• 1. What is Linear Regression?
• 2. Finding the Best Fitting Line
• 3. How Good is the Best Fitting Line?
• 4. Statistical Significance: Means
• 5. Statistical Significance: Regression
• 6. Maximum Likelihood Estimation
• 7. Multivariate Regression
• 8. Weighted Linear Regression
• 9. Nonlinear Regression
• 10. Bayesian Regression: A Summary