you are a scientist who wishes to obtain as high a correlation as possible. Which one of the following would you consider to be the best result?
* A. -0.70
* B. +0.11
* C. +1.46
* D. -1.19

The correlation coefficient, often denoted as \( r \), measures the strength and direction of the linear relationship between two variables. The value of \( r \) ranges from -1 to +1:

- A correlation of +1 indicates a perfect positive linear relationship.
- A correlation of -1 indicates a perfect negative linear relationship.
- A correlation of 0 indicates no linear relationship.

In this context:

- **A. -0.70**: Indicates a strong negative linear relationship.
- **B. +0.11**: Indicates a very weak positive linear relationship.
- **C. +1.46**: This is not a valid value for correlation as \( r \) must be between -1 and +1.
- **D. -1.19**: This is also not a valid value for correlation as \( r \) must be between -1 and +1.

Given the valid options, **A. -0.70** is the best result, as it has the highest magnitude of correlation (closest to -1 or +1), indicating a stronger linear relationship compared to the other valid option, B (+0.11).

Would you like more details or have any questions? 

Here are 5 related questions:
1. What are the limitations of correlation coefficients?
2. How does correlation differ from causation?
3. What is the meaning of a correlation of 0?
4. What statistical tests are used to determine the significance of a correlation?
5. How does sample size affect the reliability of a correlation?

**Tip**: Always check the range of the correlation coefficient to ensure it falls between -1 and +1.

You are a scientist who wishes to obtain as high a correlation as possible. Which one of the following would you consider to be the best result? * A. -0.70 * B. +0.11 * C. +1.46 * D. -1.19

Explore the concept of correlation coefficients and learn how to identify the strongest linear relationship from given options. Understand why correlation values must fall between -1 and +1 and what they represent in statistics. This guide is suitable for students in Grades 10-12.

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