Log-Log Plots Explained | Power Law Regression in MATLAB (Engineering Data Analysis)

Описание: Log plot with power regression
Metrology For Engineering Technicians: Principles, Measurement Systems, and Data Analysis. ISBN 9798279009718
Dr. Kay Rand Morgan
Monroe Community College. State University of New York.

In this video, we demonstrate how to create log-log plots in MATLAB and perform power law regression using engineering data.

We cover:

• Creating a log-log scatter plot
• Converting data to logarithmic scale
• Performing linear regression in log space
• Extracting the power exponent
• Displaying the equation and R² value
• Building an interactive GUI with sliders

This example is based on measurement system analysis concepts from MET 135 – Integrated Measurement Systems and Data Analysis.

Log-log plots are essential for identifying power relationships in engineering, physics, and experimental modeling.

If a relationship follows:

  y = a xᵇ

Then on a log-log plot, it becomes linear — and the slope equals the exponent.

This video bridges Excel workflow and MATLAB implementation for engineering students and technicians.