x y x y x y

3.6 8.9 3.1 8.9 2.8 8.9

8.3 15.0 9.4 15.0 8.1 15.0

0.5 4.8 1.2 4.8 3.0 4.8

1.4 6.0 1.0 6.0 8.3 6.0

8.2 14.9 9.0 14.9 8.2 14.9

5.9 11.9 5.0 11.9 1.4 11.9

4.3 9.8 3.4 9.8 1.0 9.8

8.3 15.0 7.4 15.0 7.9 15.0

0.3 4.7 0.1 4.7 5.9 4.7

6.8 13.0 7.5 13.0 5.0 13.0

Draw a scatter diagram of each data set. Which data set has the explanatory variable x that best explains the variability in y? Why?

Choose the correct scatter diagram for data set A below.

A scatter diagram has a horizontal x-axis labeled from 0 to 10 in increments of 1 and a vertical y-axis labeled from 0 to 20 in increments of 2. A series of plotted points are randomly scattered between horizontal coordinates 1 and 9 and between vertical coordinates 4 and 15. All coordinates are approximate.

A scatter diagram has a horizontal x-axis labeled from 0 to 10 in increments of 1 and a vertical y-axis labeled from 0 to 20 in increments of 2. A series of plotted points generally follow the pattern of a line that rises from left to right passing through the points (0, 4) and (8, 14). All coordinates are approximate.

A scatter diagram has a horizontal x-axis labeled from 0 to 10 in increments of 1 and a vertical y-axis labeled from 0 to 20 in increments of 2. A series of plotted points tightly follow the pattern of a line that rises from left to right passing through the points (0, 4.2) and (8, 14.6). All coordinates are approximate.

Your answer is correct.

A scatter diagram has a horizontal x-axis labeled from 0 to 10 in increments of 1 and a vertical y-axis labeled from 0 to 20 in increments of 2. A series of plotted points tightly follow the pattern of a line that falls from left to right passing through the points (0, 16.4) and (8, 6.2). All coordinates are approximate.

Choose the correct scatter diagram for data set B below.

A scatter diagram has a horizontal x-axis labeled from 0 to 10 in increments of 1 and a vertical y-axis labeled from 0 to 20 in increments of 2. A series of plotted points tightly follow the pattern of a line that falls from left to right passing through the points (0, 16.4) and (8, 6.2). All coordinates are approximate.

A scatter diagram has a horizontal x-axis labeled from 0 to 10 in increments of 1 and a vertical y-axis labeled from 0 to 20 in increments of 2. A series of plotted points tightly follow the pattern of a line that rises from left to right passing through the points (0, 4.2) and (8, 14.6). All coordinates are approximate.

A scatter diagram has a horizontal x-axis labeled from 0 to 10 in increments of 1 and a vertical y-axis labeled from 0 to 20 in increments of 2. A series of plotted points generally follow the pattern of a line that rises from left to right passing through the points (0, 4) and (8, 14). All coordinates are approximate.

Your answer is correct.

Which data set has the explanatory variable x that best explains the variability in y? Why?

Data set C best explains the variability in y because the data are not related.

Data set A best explains the variability in y because the data are almost perfectly linearly related.

Your answer is correct.

Data set B best explains the variability in y because the data show some variability in both x and y.

None of the data sets better explain the variability in y.