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A negative correlation means that ________. Select one: a. high values of one variable are associated with low values of the other b. high values of one variable are associated with high values of the other c. low values of one variable are associated with low values of the other d. there is no relationship between the two variables
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Step 1:
I'll solve this problem step by step:

Step 2:
: Understanding Correlation

A correlation describes the relationship between two variables and how they change in relation to each other.

Step 3:
: Defining Negative Correlation

In a negative correlation, as one variable increases, the other variable decreases. This means there is an inverse relationship between the two variables.

Step 4:
: Analyzing the Options

- Option a: $$high values of one variable are associated with low values of the other
Let's examine each option carefully: - This precisely describes a negative correlation

Step 5:
: Comparing with Other Options

- Option b describes a positive correlation - Option c does not accurately represent a correlation pattern - Option d suggests no relationship exists

Step 6:
: Reasoning

In a negative correlation, when one variable goes up, the other goes down. A classic example is study time and stress levels: as study time increases, stress levels typically decrease.

Final Answer

The key characteristic of a negative correlation is the inverse relationship between two variables.