Question

answer attempt 1 out of 2
the scatter plot shows correlation 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, \(y\) decreases, it is a negative correlation.
Looking at the given data points:
When \(x = 0,y = 9\); when \(x=3,y = 6\); when \(x = 8,y=7\); when \(x=2,y = 9\); when \(x=9,y = 6\); when \(x=5,y = 8\); when \(x=1,y = 7\); when \(x=7,y = 4\).
As \(x\) values go from \(0\) to \(9\) (increasing), the \(y\) values do not follow a perfect linear pattern, but if we consider the general trend (ignoring some fluctuations), as \(x\) increases, \(y\) has a tendency to decrease.

Answer:

The scatter plot shows a negative correlation because as the plotted values of \(x\) increase, the values of \(y\) generally decrease.