Question

which describes the relationship between the x - and y - values in the scatter plot?
a no association
b linear association
c positive association
d negative association
e nonlinear association

Explanation:

Step1: Analyze the scatter - plot

In a scatter - plot, if there is no clear pattern (neither linear nor non - linear), it indicates no association. If the points seem to follow a straight - line pattern (either increasing or decreasing), it is a linear association. If the points follow a non - straight - line pattern (e.g., a curve), it is a non - linear association. A positive association means as \(x\) increases, \(y\) increases. A negative association means as \(x\) increases, \(y\) decreases.
Looking at the given scatter - plot, the points do not follow a straight - line (linear) pattern and also do not follow a non - linear (e.g., quadratic, exponential) pattern. There is no clear trend of \(y\) increasing or decreasing with \(x\) in a systematic linear or non - linear way.

Answer:

A. no association