Activity (Hands-On)Grades 9 - 12
Linear Regression of Bone Mineral Density Scanners
A small specimen bone mineral density scanner.
Students complete an exercise showing logarithmic relationships and examine how to find the linear regression of data that does not seem linear upon initial examination. They relate number of BMD scanners to time.
Rarely in the real world does data collected by scientists and engineers fit an exact equation. Finding the equation of the line that fits the data best is a large part of what all engineers do when they collect and analyze data. In this activity, students practice this skill, especially as it involves using natural logarithms.
After this activity, students should be able to:
- Use the linear regression function on a graphing calculator.
- Explain how the natural logarithm can be used to linearize data.