Education Technology

# Activities

• ##### Subject Area

• Math: Statistics: Describing Bivariate Data

9-12

45 Minutes

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

TI-Nspire™
TI-Nspire™ CAS

3.6

## Investigating Correlation

#### Activity Overview

This lesson involves investigating the connection between the scatterplot of bivariate data and the numerical value of the correlation coefficient.

#### Objectives

• Students will recognize that the correlation coefficient describes the strength and direction of the linear association between two variables.
• Students will recognize that when two variables are highly linearly correlated, their correlation coefficient will be close to , and when they have little correlation, the correlation coefficient will be close to 0.
• Students will recognize that two variables with a high correlation coefficient might have a scatterplot that displays a nonlinear pattern.
• Students will recognize that correlation is not affected by the choice of x or y, that is, by the choice of which variable is explanatory and which is response.

#### Vocabulary

• correlation coefficient
• explanatory variable
• linear
• outlier
• response variable
• scatterplot