Which of these pairs of variables would you expect to be represented by a scatterplot with a positive correlation? (1 point) a person's height and the person's grade on the math test the depth of the water in a pond and the amount of rainfall the number of miles driven and the number of people on the bus the number of concert tickets purchased and the number of concert tickets still available for purchase

1 answer

To identify which pair of variables would be represented by a scatterplot with a positive correlation, we need to look for a relationship where as one variable increases, the other variable also increases.

  1. A person's height and the person's grade on the math test: There is no clear positive correlation here; height does not directly influence math grades.

  2. The depth of the water in a pond and the amount of rainfall: This pair is likely to have a positive correlation; more rainfall generally leads to a greater depth of water in a pond.

  3. The number of miles driven and the number of people on the bus: This pair usually does not have a positive correlation; as the number of miles driven increases, it doesn’t necessarily mean more people are on the bus (in fact, it could mean the opposite if there are fewer passengers).

  4. The number of concert tickets purchased and the number of concert tickets still available for purchase: This pair will have a negative correlation; as more tickets are purchased, fewer tickets will be available.

Based on this analysis, the pair "the depth of the water in a pond and the amount of rainfall" is the one that would likely represent a scatterplot with a positive correlation.