To determine which scatterplot shows a linear association, we need to create scatterplots for each set of data and look for a pattern that forms a straight line.
Scatterplot 1:
x- 5.0 4.6 5.9 7.8 6.4 6.8 5.3 7.2
y- 9.5 9.0 11.0 13.0 11.5 12.0 10.0 12.5
Scatterplot 2:
x- 5.0 4.6 8.5 7.8 6.4 6.8 7.0 7.2
y- 3.7 2.7 6.5 2.0 5.6 3.0 7.8 6.7
Scatterplot 3:
x- 5.0 4.6 8.5 5.9 7.8 5.3 7.0 7.2
y- 12.0 9.0 15.0 11.0 13.0 8.0 14.5 10.0
Scatterplot 4:
x- 5.0 4.6 8.5 7.8 6.8 5.3 7.0 7.2
y- 12.0 8.5 6.0 10.0 12.0 10.0 12.0 10.0
After creating scatterplots for each set of data, we identify that Scatterplot 1 shows a linear association as the data points form a straight line.