Education Technology

Two Models are Better than One

Subject Area
Math: Precalculus: Applications of Trigonometry
Level
9-12
Activity Time
45 Minutes
TI Calculator
TI-Nspire™ CX series
TI-Nspire™ CX CAS/CX II CAS
TI-Nspire Version
3.0
Resource Types
Lessons
Format
TNS

Two Models are Better than One

Activity Overview

This lesson involves modeling the amount of carbon dioxide in the air over a 12-month period.

Objectives

  • Students will determine and analyze an exponential model for the data involving carbon dioxide in the atmosphere.
  • Students will develop an improved model for this data by using the residuals associated with the exponential regression function.

Vocabulary

  • regression equation
  • residual
  • residual plot
  • SSE = sum of the squares of the residuals (errors)

About the Lesson

This lesson involves modeling the amount of carbon dioxide in the air over a 12-month period.
As a result, students will:

  • Analyze the shortcomings of an exponential regression function fitting the given data.
  • Find an improved model by adding the original exponential function to one fitting the data in the residual plot of the original function.

Subject Area
Math: Precalculus: Applications of Trigonometry
Level
9-12
Activity Time
45 Minutes
TI Calculator
TI-Nspire™ CX series
TI-Nspire™ CX CAS/CX II CAS
TI-Nspire Version
3.0
Resource Types
Lessons
Format
TNS
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