The question asks which value is not a possible r-value. The r-value refers to the Pearson correlation coefficient, which measures the strength and direction of the linear relationship between two variables.

The range of the r-value is from -1 to 1. This means that any value of r must lie between -1 and 1, inclusive.

Now, let's evaluate the options:

• A. 1.75: This is not a possible r-value because it is outside the valid range of -1 to 1.
• B. -0.1: This is a valid r-value because it is within the range of -1 to 1.
• C. -0.5: This is a valid r-value because it is within the range of -1 to 1.
• D. 0.2: This is a valid r-value because it is within the range of -1 to 1.

So, the correct answer is A. 1.75, as it falls outside the allowed range for the Pearson correlation coefficient.

Would you like more details on how r-values work, or any other questions?

Here are 5 related questions:

1. What does a correlation coefficient of 1 indicate?
2. How does a negative r-value, like -0.5, interpret correlation between variables?
3. What is the difference between r and R² in statistics?
4. How do we calculate the Pearson correlation coefficient?
5. Can a correlation coefficient of 0 mean there is no relationship at all?

Tip: A strong positive or negative correlation doesn't imply causality, only that there is a linear relationship between variables.