Exercise

Multi-level student data

Before using hierarchical models, explore the data with a plot and linear model. Plotting data gives you visual intuition and allows you to see potential trends or problems. Building a simple model provides a comparison to a hierarchical model. Building a simple linear model provides a starting place for hierarchical models and troubleshooting the linear model is quicker and simpler than a hierarchical model.

During this exercise, you will plot how a student's gain in math scores may be predicted by the teacher's math knowledge.

Instructions 1/3

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  • Visualize student-level data (student_data) with ggplot2's ggplot().
  • Plot a teacher's math knowledge (mathknow) on the x-axis and the student's gain in math (mathgain) as the y-axis.
  • Use geom_smooth() to add a lm trend line.