What does it mean to say that two variables are negatively​ associated?

A.

There is a linear relationship between the​ variables, and whenever the value of one variable​ increases, the value of the other variable decreases.

B.

There is a linear relationship between the​ variables, and whenever the value of one variable​ increases, the value of the other variable increases.

C.

There is a relationship between the variables that is not linear.

D.

There is a linear relationship between the variables.

When we say that two variables are **negatively associated**, it means that as the value of one variable increases, the value of the other variable decreases. This describes a specific type of **linear relationship** where the variables move in opposite directions.

So, the correct answer is:

**A. There is a linear relationship between the variables, and whenever the value of one variable increases, the value of the other variable decreases.**

Would you like more details or have any questions?

Here are 5 related questions to expand your understanding:

1. What is positive association between two variables?
2. How do you interpret the slope of a line in the context of negative association?
3. Can two variables be negatively associated but still have a non-linear relationship?
4. How does correlation coefficient indicate negative association?
5. What are some real-life examples of negative association between variables?

**Tip:** When interpreting graphs or data, a negative slope in a linear regression often signifies a negative association between variables.

Explore the concept of negative association in linear relationships between variables. Learn how this phenomenon describes a situation where one variable increases as the other decreases, reflecting a specific type of linear relationship.

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