Grade 12Free Preview

Statistics — Regression and Correlation

This unit teaches you how to find patterns in data involving two variables. You will learn to answer questions like: "Does studying more hours improve your marks?" or "Is there a link between advertising spending and sales?"

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UNIT OVERVIEW

This unit teaches you how to find patterns in data involving two variables. You will learn to answer questions like: "Does studying more hours improve your marks?" or "Is there a link between advertising spending and sales?"

In Grade 11, you described single-variable data using measures like mean and standard deviation. Now you will work with bivariate data — data with two related variables.

What You Will Learn

  • How to identify symmetric and skewed data distributions
  • How to draw and interpret scatter plots
  • How to calculate the least squares regression line (line of best fit)
  • How to use regression equations for prediction (interpolation and extrapolation)
  • How to calculate and interpret the correlation coefficient (rr)
  • How to comment meaningfully on data trends
  • How to recognise limitations of regression analysis

Real-Life Applications

  • Agriculture: Farmers predict crop yields from rainfall data
  • Healthcare: Researchers study links between risk factors and diseases
  • Business: Retailers predict sales from advertising spend
  • Sports: Coaches analyse which factors predict match performance
  • Education: Universities study links between matric results and university success

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