Explain the difference between dependent and independent variables.
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Step 1
I'll solve this problem by explaining the key differences between dependent and independent variables in a clear, structured manner:

Step 2
: Definition of Independent Variable

Example: $$x_{independent}
The independent variable is the variable that is manipulated or changed by the researcher in an experiment or study. It is the input or cause variable that is presumed to influence the outcome. Key characteristics: - Deliberately controlled by the researcher - Not affected by other variables in the experiment - Typically plotted on the x-axis of a graph

Final Answer

The key difference is that the independent variable is the input that is controlled and manipulated, while the dependent variable is the output that responds to changes in the independent variable. The independent variable causes changes in the dependent variable, but not the reverse.