What type of correlation is represented when both variables increase together?

When both variables increase together, it indicates a positive correlation. This means that as one variable rises, the other variable tends to also rise. This kind of relationship reflects a direct link between the two variables, where changes in one lead to corresponding changes in the other.

In statistical terms, a positive correlation is characterized by a correlation coefficient that ranges from 0 to 1, where 0 indicates no correlation and 1 indicates a perfect positive relationship. For instance, if you were to look at data relating the amount of study time to test scores, you would likely find that as study time increases, test scores tend to increase as well, epitomizing a positive correlation.

The other types of correlations differ fundamentally from this relationship. Negative correlation would suggest that as one variable increases, the other decreases. Zero correlation indicates no relationship whatsoever, while undefined correlation does not fit within the typical framework of correlation analysis. Understanding these distinctions helps clarify why positive correlation is the correct answer in this context.