What does a positive correlation imply?

A positive correlation indicates that as one variable increases, the other variable tends to also increase, or conversely, as one variable decreases, the other variable tends to decrease as well. This simultaneous change in the same direction implies a relationship between the two variables, highlighting that they are positively related.

When considering the other options, the first option refers to a negative correlation, where one variable increases while the other decreases. The second option suggests no relationship whatsoever, which would imply a zero correlation rather than a positive one. The last option describes a scenario where one variable does not change, which does not accurately reflect the nature of a positive correlation, where both variables are actively changing together. Thus, the correct answer captures the essence of positive correlation accurately.