Question

answer attempt 1 out of 2
the scatter plot shows association because as the
plotted values of ( x ) increase, the values of ( y ) generally

Explanation:

Step1: Analyze the scatter - plot trend

In a scatter - plot, if as \(x\) increases, \(y\) first increases and then decreases, we consider the type of association.
For the first blank, when the relationship between \(x\) and \(y\) is not a simple straight - line (linear) relationship (since it first rises and then falls), it is a non - linear association.
For the second blank, observe the general movement of \(y\) as \(x\) increases. At first, as \(x\) increases from the left - most points (where \(x\) is relatively small), \(y\) increases. But after a certain point, as \(x\) continues to increase, \(y\) decreases.

Answer:

The scatter plot shows a non - linear association because as the plotted values of \(x\) increase, the values of \(y\) generally first increase and then decrease.