A dependent variable is usually on the side of the equation by itself. The independent variable usually has something being done to it. And, the dependent variable is usually written to the left of the equation.
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would homelessness be a dependent variable
Nope. Dependent Variable is the variable that is being tested/measured while Independent variable is the variable is that can be changed.
is dependent on the independent variable
Any variable can be declared as the independent variable, then the other would be the dependent variable. However, it is quite common to arbitrarily define y as the dependent variable - a variable that depends on x.
Dependent variable: growth of crystals Independent variable: temperature.