Which of the following exemplifies a perfect positive correlation?

A perfect positive correlation indicates a relationship between two variables where, as one variable increases, the other variable also increases proportionally. This is represented by a correlation coefficient of 1.

When the correlation coefficient is 1, it means that any increase in one variable consistently leads to a proportional increase in another variable, creating a perfectly straight line when graphed on a scatter plot. This kind of correlation suggests a strong and direct relationship without any variation or exception.

In contrast, a correlation coefficient of -1 indicates a perfect negative correlation, where one variable decreases as the other increases. A correlation of 0 signifies no correlation, meaning there is no predictable relationship between the variables. A coefficient of 0.5 indicates a moderate positive correlation, where an increase in one variable may lead to an increase in another but not in a perfectly consistent way. Thus, the choice depicting a perfect positive correlation is indeed the one reflecting a correlation coefficient of 1.