Practical Data Science using Python - Linear Regression OLS Assumptions and Testing

The video tutorial covers the concept of error terms in linear regression, emphasizing that the population mean of error terms should be zero. It discusses key assumptions such as uncorrelated predictor variables, constant variance (homoscedasticity), and absence of multicollinearity. The tutorial also explains the importance of R-squared and adjusted R-squared values, coefficients, and p-values in model evaluation. Techniques like variance inflation factor (VIF) and recursive feature elimination (RFE) are introduced for optimizing models. Finally, it highlights the significance of residual analysis and probability plots in validating model assumptions.

What does it mean for the error term to have a population mean of 0?

Explain the significance of the assumption that predictor variables are uncorrelated to the error term.

What is homoscedasticity and why is it important in linear regression?

Describe the concept of multicollinearity and its potential impact on a linear regression model.

What is the adjusted R-squared and how does it differ from the regular R-squared?

How do you interpret the P-value in the context of linear regression?

What are the implications of having a VIF value greater than 5?

Discuss the importance of selecting the most significant features in a linear regression model.

What is the purpose of residual analysis in linear regression?

Explain the process of creating a probability plot for assessing residual normality.