Question

identifying the association for a scatterplot
use the graph to identify whether there is linear association, nonlinear association, or no association. explain.
it is linear because the points resemble a line
it is nonlinear because the points resemble a curve
there is no association because the points resemble a curve
there is no association because the points do not resemble a line or curve

Explanation:

Step1: Analyze linear association

In a linear association, the points in a scatter - plot should roughly form a straight - line pattern. Looking at the given scatter - plot, the points do not form a straight - line pattern.

Step2: Analyze nonlinear association

In a nonlinear association, the points should form a curve - like pattern (e.g., quadratic \(y = ax^{2}+bx + c\), exponential \(y = a\cdot b^{x}\)). The given scatter - plot does not form a curve - like pattern.

Step3: Determine the association type

Since the points in the scatter - plot do not form a line or a curve, there is no association.

Answer:

There is no association because the points do not resemble a line or curve.