How Data Transformations Affect Analysis

12th GradeMath60 min

Learning Objective

I can analyze how different data transformations affect statistical analyses.

Lesson Flow

Watch Video

3 min

Transforming nonlinear data | More on regression | AP Statistics | Khan Academy

Khan Academy

Guided Notes

12 min

Key concepts students will learn:

  • When data appears non-linear, we can still apply linear regression tools by transforming the data.

  • In the video's example, plotting x versus log(y) reveals a linear pattern that can be analyzed using linear regression.

  • Transforming data allows us to use existing linear regression tools, and we can mathematically convert the model back to the original relationship.

Practice

18 min

12 questions • Multiple choice & Short answer

Exit Ticket

5 min

Explain how taking the logarithm of the y values in a dataset can allow you to apply linear regression techniques even when the relationship between x and y is not linear. Why might this be a useful approach?

Teacher Guide

Get the complete package:

  • Answer keys for all questions
  • Differentiation strategies
  • Extension activities
  • Printable student handouts

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