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Machine Learning & AI Foundations: Linear Regression

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Having a solid understanding of linear regression—a method of modeling the relationship between one dependent variable and one to several other variables—can help you solve a multitude of real-world problems. Applications areas involve predicting virtually any numeric value including housing values, customer spend, and stock prices. This course reveals the concepts behind the most important linear regression techniques and how to use them effectively. Throughout the course, instructor Keith McCormick uses IBM SPSS Statistics as he walks through each concept, so some exposure to that software is assumed. But the emphasis will be on understanding the concepts and not the mechanics of the software. SPSS users will have the added benefit of being exposed to virtually every regression feature in SPSS.

Instructor Keith McCormick covers simple linear regression, explaining how to build effective scatter plots and calculate and interpret regression coefficients. He also dives into the challenges and assumptions of multiple regression and steps through three distinct regression strategies. To wrap up, he discusses some alternatives to regression, including regression trees and time series forecasting.


01 - Introduction
  • 01 - Welcome
  • 02 - What you should know
  • 03 - Using the exercise files

  • 02 - 1. Simple Linear Regression
  • 01 - Building effective scatter plots in Chart Builder
  • 02 - Adding labels and spikes to a scatter plot
  • 03 - Create a 3D scatter plot
  • 04 - Bubble chart with GPL
  • 05 - Residuals and R2
  • 06 - Calculating and interpreting regression coefficients

  • 03 - 2. Introduction to Multiple Linear Regression
  • 01 - Challenges and assumptions of multiple regression
  • 02 - Checking assumptions visually
  • 03 - Checking assumptions with Explore
  • 04 - Checking assumptions Durbin-Watson
  • 05 - Checking assumptions Levines test
  • 06 - Checking assumptions Correlation matrix
  • 07 - Checking assumptions Residuals plot
  • 08 - Checking assumptions Summary

  • 04 - 3. Dummy Code and Interaction Terms
  • 01 - Creating dummy codes
  • 02 - Dummy coding with the R extension
  • 03 - Detecting variable interactions
  • 04 - Creating and testing interaction terms

  • 05 - 4. Three Regression Strategies
  • 01 - Three regression strategies and when to use them
  • 02 - Understanding partial correlations
  • 03 - Understanding part correlations
  • 04 - Visualizing part and partial correlations
  • 05 - Simultaneous regression Setting up the analysis
  • 06 - Simultaneous regression Interpreting the output
  • 07 - Hierarchical regression Setting up the analysis
  • 08 - Hierarchical regression Interpreting the output
  • 09 - Creating a train-test partition in SPSS
  • 10 - Stepwise regression Setting up the analysis
  • 11 - Stepwise regression Interpreting the output

  • 06 - 5. Spotting Problems and Taking Corrective Action
  • 01 - Collinearity diagnostics
  • 02 - Dealing with multicollinearity Factor analysisPCA
  • 03 - Dealing with multicollinearity Manually combine IVs
  • 04 - Diagnosing outliers and influential points
  • 05 - Dealing with outliers Studentized deleted residuals
  • 06 - Dealing with outliers Should cases be removed
  • 07 - Detecting curvilinearity

  • 07 - 6. Other Approaches to Regression
  • 01 - Regression options
  • 02 - Automatic linear modeling
  • 03 - Regression trees
  • 04 - Time series forecasting
  • 05 - Categorical regression with optimal scaling
  • 06 - Comparing regression to Neural Nets
  • 07 - Logistic regression
  • 08 - SEM

  • 08 - Conclusion
  • 01 - Whats next
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