To compare and contrast: dependent variable and independent variable.
Explanation of Solution
Variables are given a special name that only applies to experimental investigations. One is called the dependent variable and the other the independent variable.
Dependent variables are variables whose changes depend solely on another variable—usually the independent variable. That is, the value of the dependent variable will only change if the independent variable changes.
The direction of this change is usually determined by a function which represents the relationship between the dependent and independent variable. In mathematical sciences, it is represented as a function of the independent variable (e.g.
Independent variables are variables whose variations do not depend on another variable. They are controlled inputs; whose variation depends on the researcher or individual working with the variables.
Also known as the predictor variable, it is the determinant of the value of the dependent variable. It is usually used to test the rate of change of the dependent variable as it changes under a non-variable condition.
For example, the time taken to move a car from a particular point A to a point B to a varying speed. In this case, the non-variable is the distance covered, the independent variable is the speed while the dependent variable is the time which changes with respect to the change in the speed of the vehicle.
A dependent variable is a variable whose variations depend on another variable-usually the independent variable. An Independent variable is a variable whose variations do not depend on another variable but the researcher experimenting.
Although the variations of these two variables depend on something else in the real sense, the difference is what they depend on. A dependent variable depends on an independent variable, while an independent variable depends on external manipulation.
Chapter 1 Solutions
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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