The correlation coefficient will always take values

The correlation coefficient, also known as Pearson's correlation coefficient, will always take values between -1 and 1.

Here's a step-by-step explanation:

1. The correlation coefficient measures the strength and direction of the linear relationship between two variables.

2. The value of the correlation coefficient ranges from -1 to 1.

3. If the correlation coefficient is close to 1, it indicates a strong positive relationship between the variables.

4. If the correlation coefficient is close to -1, it indicates a strong negative relationship between the variables.

5. If the correlation coefficient is close to 0, it indicates no linear relationship between the variables.

6. Therefore, the correlation coefficient will always take values between -1 and 1.