Math Problem Statement

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.

Solution

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.

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Math Problem Analysis

Mathematical Concepts

Linear Relationships
Negative Association

Formulas

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Theorems

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Suitable Grade Level

High School