Not necessarily.
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An independent variable is the one that you change in the experiment. A dependent variable is the one that you measure, it changes depending on the independent variable.
The independent variable is the one that you change in an experiment. The dependent variable changes because of the independent variable. You control the independent and observe the dependent.
A dependent variable is one that changes based on changes of the independent variable. Or we can say it depends on whatever happens to the independent variable.
If changes in one variable do not affect the outcome of another variable, then the second variable is independent. A variable that is not independent is dependent.
Both of them change.