There is no linear correlation found if the value of r is ___. 
*
-1
2
+1
0

The correct answer is **2**.

The value of the correlation coefficient \( r \) can range from -1 to +1, where:

- \( r = -1 \) indicates a perfect negative linear correlation,
- \( r = +1 \) indicates a perfect positive linear correlation,
- \( r = 0 \) indicates no linear correlation,
- Any value outside the range of \([-1, 1]\), such as 2, is **not possible** for a correlation coefficient.

So, if you find that \( r = 2 \), it means that something went wrong in the calculation or interpretation.

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Would you like more details on how correlation works, or have any other questions about this? 

Here are 5 related questions for you:
1. What does it mean when \( r = 0.5 \)?
2. How do you interpret negative values of the correlation coefficient?
3. What is the difference between correlation and causation?
4. How do you calculate the correlation coefficient between two variables?
5. How can you visualize the correlation between two variables?

**Tip**: Always remember that \( r \) must be within the range \([-1, 1]\) for valid correlation analysis.

There is no linear correlation found if the value of r is ___.
*
-1
2
+1
0

Discover the meaning of the correlation coefficient r and why a value of 0 indicates no linear correlation. Learn about valid ranges for r, the importance of correlation analysis, and common mistakes in interpretation. Ideal for high school students studying statistics.

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