Question

click on the graph to plot a point. click a point to delete it. 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 relationship between \(x\) and \(y\) values

When \(x = 0,y = 6\); \(x=1,y = 5\); \(x = 2,y = 5\); \(x=3,y = 7\); \(x = 4,y = 6\); \(x=5,y = 6\); \(x = 8,y = 3\); \(x=9,y = 2\). As \(x\) increases from \(0\) to \(9\), \(y\) values do not follow a strictly increasing or decreasing pattern. But if we consider the general trend: when \(x = 0\) (a relatively small \(x\) - value) \(y = 6\), when \(x=9\) (a relatively large \(x\) - value) \(y = 2\).

Step2: Determine the type of correlation

Since as \(x\) increases, \(y\) has a tendency to decrease. A negative correlation is defined as a relationship between two variables in which an increase in one variable is associated with a decrease in the other variable.

Answer:

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