Related Experiment Video
Updated: Apr 30, 2026

Development of an Individual-Tree Basal Area Increment Model using a Linear Mixed-Effects Approach
Published on: July 3, 2020
Understanding and checking the assumptions of linear regression: a primer for medical researchers
Robert J Casson1, Lachlan D M Farmer
1South Australian Institute of Ophthalmology, University of Adelaide, Adelaide, South Australia, Australia; Discipline of Ophthalmology & Visual Sciences, University of Adelaide, Adelaide, South Australia, Australia; Sight for All, Royal Adelaide Hospital, Adelaide, South Australia, Australia.
Abstract:
Linear regression (LR) is a powerful statistical model when used correctly. Because the model is an approximation of the long-term sequence of any event, it requires assumptions to be made about the data it represents in order to remain appropriate. However, these assumptions are often misunderstood. We present the basic assumptions used in the LR model and offer a simple methodology for checking if they are satisfied prior to its use. In doing so, we aim to increase the effectiveness and appropriateness of LR in clinical research.
More Related Videos
Related Concept Videos
Regression Analysis
In regression analysis, a regression equation is determined based on the line of best fit– a line that best fits the data points plotted in a graph. This line is also called the regression line. The algebraic equation for the regression line is called the regression equation. It is represented as:
Correlation and Regression
Microsoft Excel: Regression Analysis
To perform regression...
Residuals and Least-Squares Property
If the observed data point lies above the line, the residual is positive, and the line underestimates the actual data value for y. If the observed data point lies below the line, the residual is negative, and the line overestimates the actual data value for y.
The process of fitting the best-fit...
Calculating and Interpreting the Linear Correlation Coefficient
Linear Equations

