Education Technology


Logarithmic Transformations of Data

Activity Overview

This lesson involves three real-world data sets in which the relationship between each pair of variables is non-linear. Students will be asked to describe the original relationship between each pair of variables, and observe how each transformation is used to achieve a linear relationship.

Objectives

  • Students will understand how various data transformations can be used to achieve a linear relationship and, consequently, how to use the methods of linear regression to obtain a line of best fit.
  • Students will use various calculator regression functions in order to model the relationship between two variables.
  • Students will convert a linear regression equation back to a non-linear equation to model the relationship between two variables.

Vocabulary

• transformation
• linear regression
• exponential regression
• power regression
• logarithmic regression

About the Lesson

This lesson involves three real-world data sets in which the relationship between each pair of variables is non-linear.
As a result, students will:

  • Learn how data transformations may be used to achieve a linear relationship.
  • Learn how to use several calculator regression functions to model the relationship between two variables.
  • Learn how to convert a linear regression equation back to a non-linear equation.