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A variable does not usually "cause" another. A change in one variable may result in a change in another. Such a change may be systematic (the relationship between the two variables is precise) or it may be statistical or correlational.
The reasons for either type will often depend on disciplines of knowledge other than mathematics, such as physics or economics etc.
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How do you know whether a relation is a function?
Use the definition of a function. If, for any value of one variable, there is only a single possible value of the second variable, then the second variable is a function of the first variable. The second variable is often called the "dependent variable". If you can solve an equation explicitly for the dependent variable, then it is a function. If you can NOT solve it for a variable, it may or may not be a function - it turns out that some equations are hard or impossible to solve explicitly for one of the variables.
How to identify independent and dependent variables in an experiment?
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.
Why is it important to be able to solve for the variable in a formula?
Solving for one variable makes it easy to put in a value for the other variables, and find a value for the first variable.
When an experiment shows that one variable makes another variable change and no other variables have any effect the experiment shows what?
causation
Which variable is independent and which variable is dependent?
Oh honey, the independent variable is the one you can control and manipulate, like a puppet master pulling the strings. The dependent variable is the one that sits back and gets affected by the independent variable's shenanigans, like a poor unsuspecting victim. So, in simpler terms, the independent variable is the cause, and the dependent variable is the effect.
When an experiment shows that one variable makes another variable change and no other variables have any effect?
This is known as a direct or causal relationship between the variables. It suggests that changes in one variable directly cause changes in the other variable without the influence of any other factors. The relationship is often described as a cause-and-effect relationship.
What does a bar graph display?
Each bar displays the value of one variable for one value of a second variable. The second may be a qualitative variable or a quantitative one.
When an experiment shows that one variable makes another change and no other variable have any effect the experiment shows?
causation
What is an idea about what happens to one variable when a second variable changes?
An idea about what happens to one variable when a second variable changes is called correlation. Correlation measures the strength and direction of the relationship between two variables. It can help us understand how changes in one variable may be associated with changes in another variable.
What does a rate of change indicate?
The rate of change indicates the change in one variable per unit change in a second variable at (or around) that level for the second variable.
When an experiment shows that one variable makes another variable change and no other variable have any effect the experiment shown?
The experiment demonstrates a direct cause-and-effect relationship between the two variables, with no interference from other variables. This suggests that changes in the dependent variable can be attributed solely to variations in the independent variable.
What is the difference between a fixed second mortgage and one with a variable rate?
The difference between a fixed second mortgage and one with a variable rate is that fixed second mortgage has a fixed rate and is commonly thought of as safer than a mortgage with a variable rate.
What makes an equation a quadratic function?
Basically the fact that some variable is squared - or that one variable is multiplied with another variable.
When an experiment shows that one variable makes another variable and no other variable have any effect the experiment shows?
causation
How do you know whether a relation is a function?
Use the definition of a function. If, for any value of one variable, there is only a single possible value of the second variable, then the second variable is a function of the first variable. The second variable is often called the "dependent variable". If you can solve an equation explicitly for the dependent variable, then it is a function. If you can NOT solve it for a variable, it may or may not be a function - it turns out that some equations are hard or impossible to solve explicitly for one of the variables.
When an experiment showes that one variable makes another variable change and no other variable has any effect what is the experiment showing?
causation
How to identify independent and dependent variables in an experiment?
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.
