Final answer:
The statement is true in the context of a linear relationship, where the independent variable and the dependent variable have a constant rate of change represented by the slope of the line in the linear equation.
Step-by-step explanation:
The statement "For each unit change in the independent variable there is a constant change in the dependent variable" is true if the relationship between the independent variable (IV) and the dependent variable (DV) is linear. In such cases, this constant change is represented by the slope of the line in a linear equation. However, this may not always be the case in non-linear relationships, where the change in the dependent variable can vary with each unit change in the independent variable.
For instance, if an experiment is conducted to compare the effects of being taught by a computer program versus an in-person instructor on student performance, the mode of instruction would be the independent variable while the student performance would be the dependent variable. If the relationship between these variables is linear, then we'd see that a unit change in the mode of instruction (e.g., number of hours spent with the computer program or the instructor) would result in a constant change in student performance.