What is the relationship between manipulated variable and a responding variable?

The manipulated variable, also known as the independent variable, is the factor that is intentionally changed or controlled in an experiment to observe its effects. The responding variable, or dependent variable, is the outcome that is measured to assess the impact of changes in the manipulated variable. Essentially, the relationship is that changes in the manipulated variable are expected to cause changes in the responding variable. This relationship is fundamental to understanding cause-and-effect in scientific experiments.