Week 10: Simple Linear Regression, Multiple Linear Regression

Slides

Simple Linear Regression

• Simple linear regression
• Regression diagnostics
• Inference for linear regression

Performance Outcomes

You should feel confident to perform the following outcomes:

Simple linear regression

• Explain the purpose and basic concepts of simple linear regression
• Identify the variables involved and write the regression equation
• Interpret the slope and intercept in the context of real data
• Describe the assumptions underlying simple linear regression
• Fit a simple linear regression model using statistical software
• Interpret regression output, including coefficients and p-values
• Use the model to make predictions based on new data
• Evaluate the model fit using residuals and diagnostic plots

Resources

If you don’t feel yet confident after going through the teaching materials or would like further resources, then you are also encouraged to go through the following materials.

• Statistical Inference via Data Science: A ModernDive into R and the Tidyverse (2nd Edition)
  • Chapter 10: Inference for Regression
• OpenIntro Statistics (4th Edition)
  • Chapter 8: Introduction to linear regression

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