Education Technology

# Activities

• ##### Subject Area

• Math: Precalculus: Exponential and Logarithmic Functions

9-12

45 Minutes

• ##### Device
• TI-Nspire™ CX/CX II
• TI-Nspire™ CX CAS/CX II CAS
• TI-Nspire™ Navigator™
• TI-Nspire™
• TI-Nspire™ CAS
• ##### Software

TI-Nspire™
TI-Nspire™ CAS

3.0

## 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