Question

which data sets (in graphic or table form) contain outliers? check all that apply.

Explanation:

Step1: Analyze the first scatter - plot

In a scatter - plot, an outlier is a data point that is far from the general pattern of the data. In the first scatter - plot, there is a point that is separated from the general decreasing trend of the other points.

Step2: Analyze the first table

For the table with \(x = 60,y=-20;x = 61,y = 0;x = 63,y = 3;x = 67,y = 8;x = 69,y = 8\). As \(x\) increases from \(60\) to \(61\), \(y\) increases by \(20\). But as \(x\) increases from \(61\) to \(63\) (an increase of \(2\) in \(x\)), \(y\) increases by \(3\). The change from \(x = 60,y=-20\) is a large jump compared to the other data points.

Step3: Analyze the second scatter - plot

In the second scatter - plot, all the points follow a general decreasing trend. There is no point that is significantly separated from the rest of the data points.

Step4: Analyze the second table

For the table with \(x = 1,y = 12;x = 2,y = 21;x = 3,y = 29;x = 6,y = 51;x = 6,y = 70\). As \(x\) increases from \(1\) to \(2\) (an increase of \(1\) in \(x\)), \(y\) increases by \(9\). As \(x\) increases from \(2\) to \(3\) (an increase of \(1\) in \(x\)), \(y\) increases by \(8\). But as \(x\) increases from \(3\) to \(6\) (an increase of \(3\) in \(x\)), \(y\) increases by \(22\) (from \(29\) to \(51\)) and then another \(19\) (from \(51\) to \(70\) when \(x\) remains at \(6\)). The point \((x = 6,y = 70)\) is far from the general increasing trend of the other points (if we assume a roughly linear - like increase for \(x=1,2,3\)).

Answer:

The first scatter - plot, the first table, and the second table.