What does a correlation coefficient of 0​ indicate?
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Part 1
Choose the correct answer below.
A.
There is a strong relationship between the two quantitative variables.
B.
It indicates a​ non-linear relationship between the two quantitative variables.
C.
It indicates a calculation​ error, as the correlation coefficient cannot be 0.
D.
There is no linear relationship between the two quantitative variables.
E.
There is a weak relationship between the two quantitative variables.

The correct answer is:

**D. There is no linear relationship between the two quantitative variables.**

A correlation coefficient of 0 indicates that there is no linear relationship between the two variables. However, it's important to note that this does not necessarily mean that there is no relationship at all; the relationship could be non-linear.

Would you like further details or have any questions?

Here are 5 related questions to consider:
1. What does a correlation coefficient of 1 indicate?
2. How is the correlation coefficient calculated?
3. Can two variables have a correlation coefficient close to 0 but still be related in some way?
4. What are some common misconceptions about correlation and causation?
5. How does a scatter plot look for variables with a correlation coefficient of 0?

**Tip:** Always visualize your data with a scatter plot to better understand the nature of the relationship, whether linear or non-linear.

Explore what a correlation coefficient of 0 indicates with a clear explanation. Learn about the absence of linear relationship between two quantitative variables and how it's calculated. Ideal for high school students and those studying statistics.

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