Use the tables to create scatterplots and determine which scatterplot shows a linear association.
a. 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
b. 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
c. 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
d. 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
The scatterplot that shows a linear association is:
c. 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
This is because the points on the scatterplot appear to form a straight line, indicating a linear relationship between the two variables.