No. It depends on the context. If you are studying solar gain in a building then the room temperature is a dependent variable. If you are studying the effects of diseases, the body temp is a dependent variable.
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A dependent variable depends on the independent variable. If you are doing an experiment about how temperature affects the heat of water then the independent variable would be the temperature, as that is what you are going to change, and the dependent variable the water as the temperature of the water depends on the temperature surrounding it.
No, it usually is not.
the dependent variable changes with the independent variable. the independent variable only changes when changed by the experimenter. Time is usually an independent variable.
Dependent variable: growth of crystals Independent variable: temperature.
That the surface tension of water varies with the water's temperature. In this case, temperature would be the independent variable and surface tension would be the independent variable.