The question asks about identifying a correct statement regarding correlation between two variables, $x$ and $y$. Let's evaluate the options:

1. Option A: We say that there is a positive correlation between $x$ and $y$ if there is no distinct pattern in the scatterplot.

   • Incorrect: If there is no distinct pattern, the correlation would likely be close to zero, implying no correlation, not positive.

2. Option B: We say that there is a positive correlation between $x$ and $y$ if the $x$-values increase as the corresponding $y$-values increase.

   • Correct: A positive correlation exists when both variables increase together.

3. Option C: We say that there is a negative correlation between $x$ and $y$ if the $x$-values increase as the corresponding $y$-values increase.

   • Incorrect: This describes a positive correlation, not a negative one.

4. Option D: We say that there is a positive correlation between $x$ and $y$ if the $x$-values increase as the corresponding $y$-values decrease.

   • Incorrect: This describes a negative correlation, not a positive one.

Thus, the correct answer is B.

Would you like further details on how correlations work?

Here are some related questions to think about:

1. What does a correlation of 0 indicate?
2. How is correlation different from causation?
3. What are some examples of positive correlation in real life?
4. How is correlation coefficient calculated?
5. What does a negative correlation look like in a scatterplot?

Tip: Remember, correlation doesn't imply causation! Two variables can be correlated due to a third factor.