# Classroom Activities

• ##### Subject Area

• Math: Statistics: Describing Bivariate Data

9-12

50 Minutes

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

TI-Nspire™
TI-Nspire™ CAS

3.0

• ##### Report an Issue

Interpreting R2

Published on 12/02/2011

#### Activity Overview

This lesson involves predicting values of a particular variable.

#### Objectives

• Students will predict a response variable using the mean of that response variable and recognize why the mean of the response variable minimizes the typical "error" in the prediction if no other information is available.
• Students will recognize that R2 measures the relative improvement in precision in predicting a response variable using an additional (explanatory) variable via the least-squares regression line (over the precision obtained using only the mean of the response variable).

#### Vocabulary

• centroid
• coefficient of determination
• dot plot
• linear correlation coefficient
• linear regression
• mean
• residual
• scatterplot
• variance