1. Lesson 7

Mathematics 30-2 Module 7

Module 7: Exponents and Logarithms

 

Lesson 7: Modelling Data Using Exponential and Logarithmic Regressions

 

Focus

 

This diagram shows a temperature versus time graph. It asks “How will the temperature change over time?” and shows four different curves.

Imagine your favourite warm drink, perhaps tea or hot chocolate. The drink is nice and hot when it’s first made; however, the drink will cool off as it sits. Clearly the temperature is decreasing, but what would a graph of temperature versus time look like? Would it be a straight line? A curve? One way to determine what this graph looks like is to collect data and perform a regression.

 

In this lesson you will learn about exponential and logarithmic regression, and you will use those equations to model real-world problems.

 

Lesson Outcomes

 

At the end of this lesson, you will be able to

  • use technology to determine exponential and logarithmic regression equations
  • use a regression equation to answer questions in a real-world context
Lesson Question

 

You will investigate the following question: How can an exponential or logarithmic model be used to solve problems?

 

Assessment

 

Your assessment may be based on a combination of the following tasks:

  • completion of the Lesson 7 Assignment (Download the Lesson 7 Assignment and save it in your course folder now.)
  • course folder submissions from Try This activities
  • additions to Glossary Terms
  • work under Project Connection