https://file.aiquickdraw.com/mathbot/file/17302997390774z5iqghr.jpg

The correct answer to this question is:

- **"-1 and 1"**

The correlation coefficient, denoted by \( r \), measures the strength and direction of the linear relationship between two variables and always falls within the range \(-1 \leq r \leq 1\). 

- If \( r = 1 \), it indicates a perfect positive linear correlation.
- If \( r = -1 \), it indicates a perfect negative linear correlation.
- If \( r = 0 \), it suggests no linear correlation.

Would you like further details on how the correlation coefficient is interpreted?

Here are some related questions to expand your understanding:

1. What does it mean if the correlation coefficient \( r \) is close to 0?
2. How is the correlation coefficient calculated between two variables?
3. What are some limitations of using the correlation coefficient?
4. Can a correlation coefficient alone determine causation between two variables?
5. How does the correlation coefficient relate to covariance?

**Tip:** Remember that correlation only indicates the strength and direction of a linear relationship; it does not imply causation.

The correlation coefficient, r, is a number between:

Learn about the correlation coefficient range, where the value of r lies between -1 and 1, representing the strength and direction of a linear relationship. This explanation is suitable for high school students in Grades 10-12 studying statistics and correlation.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation