Question

describe the association for the graph. linear and positive linear and negative non - linear and no association non - linear and negative non - linear and positive

Explanation:

Step1: Analyze the trend of the scatter - plot

In a linear association, the points of a scatter - plot roughly follow a straight - line pattern. In a non - linear association, the points follow a curved or other non - straight - line pattern. In a positive association, as one variable increases, the other variable also increases. In a negative association, as one variable increases, the other variable decreases.
Looking at the scatter - plot, the points do not follow a straight - line (linear) pattern. So, it is a non - linear association.

Step2: Analyze the direction of the non - linear association

As the \(x\) - values increase, the \(y\) - values first decrease and then increase (or vice - versa in a non - linear fashion). But if we consider the overall trend (ignoring minor fluctuations), we can see that as \(x\) increases, \(y\) decreases. For example, when \(x\) is small (left - hand side of the plot), \(y\) is relatively large, and as \(x\) gets larger (right - hand side of the plot), \(y\) gets smaller.

Answer:

Non - Linear and Negative