Question

Which of these pairs of variables would you expect to be represented by a scatterplot with a negative correlation?

Answer 1

C. The number of miles driven and the number of people on the bus .

Answer 2

The correct answer is D. The number of concert tickets purchased and the number of concert tickets still available for purchase

Explanation:

In mathematics, a negative correlation occurs when the increase in one of the variables makes the other variable decrease or vice-versa. For example, there is a negative correlation between the amount of time an individual exercises and his/her weight because the more hours it is expected the individual weights less. Additionally, in a scatterplot (graphic that uses dots to represent variables) a negative correlation is represented as a downward line considering values start high on the y or vertical axis but slowly go down.

From the options given, the variables that would lead to a scatterplot with a negative correlations are "he number of concert tickets purchased and the number of concert tickets still available for purchase" because the more tickets purchased the fewer tickets available and vice-versa, which means if one variable increases the other falls and thus, they have a negative correlation.