Question

use the data table below to create the given scatter plot, then fill in the guided sentence below. click on the graph to plot a point. click a point to delete it. the scatter plot shows correlation because as the plotted values of ( x ) increase, the values of ( y ) generally.

Explanation:

Step1: Analyze the data points

Looking at the data pairs \((x,y)\): \((3,5)\), \((5,7)\), \((2,1)\), \((9,8)\), \((1,5)\), \((0,1)\), \((7,8)\), \((6,4)\). As \(x\) increases from \(0\) to \(9\), \(y\) has an overall increasing trend (e.g., \(x = 0,y = 1\); \(x=2,y = 1\); \(x = 3,y=5\); \(x=5,y = 7\); \(x=6,y = 4\); \(x=7,y = 8\); \(x=9,y = 8\)). Although there are some fluctuations (like \(x = 6,y = 4\) is less than \(x = 5,y = 7\)), the general direction is that as \(x\) gets larger, \(y\) gets larger.

Step2: Determine the correlation type

Positive correlation is defined as when one variable (\(x\) in this case) increases, the other variable (\(y\)) has a tendency to increase.

Answer:

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