Which two quantitative variables would show a positive correlation if graphed on a scatterplot?

the population of a town and the height of its mayor
a student's grades in math and the number of letters in the student's first name
the number of items in a family's refrigerator and the number of days since the family's last visit to the grocery store
the age of a child and the size of the child's vocabulary

1 answer

The two quantitative variables that would show a positive correlation if graphed on a scatterplot are:

the age of a child and the size of the child's vocabulary.

As children age, it is generally expected that their vocabulary size increases, indicating a positive correlation between these two variables.