Question

a scatterplot is produced to compare the size of a school building to the number of students at that school who play an instrument. there are 12 data points, each representing a different school. the points are widely dispersed on the scatterplot without a pattern of grouping. which statement could be true?
there is no relationship between the size of a school building and the number of students who play an instrument because the scatterplot does not have a cluster.
as the size of a school building increases, the number of student musicians increases because the scatterplot has a cluster that increases from left to right.
as the size of a school building increases, the number of student musicians decreases because the scatterplot has a cluster that decreases from left to right.
the size of a school building is equal to the number of students who play an instrument because the scatterplot does not have a cluster.

Explanation:

A scatterplot with points widely dispersed and no pattern of grouping indicates no clear relationship. If there's no cluster (grouping pattern), it can't show a positive (increase - increase) or negative (increase - decrease) correlation. Also, just because there's no cluster doesn't mean two variables are equal.

Answer:

There is no relationship between the size of a school building and the number of students who play an instrument because the scatterplot does not have a cluster.