Which of these pairs of variables would you expect to be represented by a scatterplot with a positive correlation? (1 point) Responses a person's height and the person's grade on the math test 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 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 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 the number of concert tickets purchased and the number of concert tickets still available for purchase

1 answer

To determine which pair of variables would show a positive correlation in a scatterplot, we need to consider how the two variables relate to each other:

  1. A person's height and the person's grade on the math test: This is likely not to have a correlation, either positive or negative, as height and math grades are not directly related.

  2. The depth of the water in a pond and the amount of rainfall: This could show a positive correlation, as typically, more rainfall would increase the depth of water in a pond.

  3. The number of miles driven and the number of people on the bus: Generally, this is not likely to have a positive correlation, as more miles driven could mean fewer people per bus if there are fewer buses, or if people are driving their own vehicles instead.

  4. The number of concert tickets purchased and the number of concert tickets still available for purchase: This is typically a negative correlation. As more tickets are purchased, fewer tickets will be available.

Based on these considerations, the pair that would be expected to have a positive correlation is:

The depth of the water in a pond and the amount of rainfall.