In order to create scatterplots, we need to plot the values of x and y from each table on a coordinate plane. Let's create scatterplots for each table:
Table 1:
x: 50 46 98 59 78 64 68 53 70 72
y: 75 71 90 55 70 100 90 25 40 76
Table 2:
x: 50 46 80 59 78 64 68 53 70 68
y: 90 100 57 80 60 75 72 82 70 67
Table 3:
x: 50 46 80 59 78 64 68 53 70 68
y: 35 30 75 45 70 50 55 36 62 67
Table 4:
x: 50 46 90 59 78 64 68 53 70 72
y: 75 71 100 80 90 82 85 77 87 89
Now, let's analyze each scatterplot to determine which one shows a non-linear association:
Scatterplot 1:
This scatterplot appears to show a somewhat linear association. As x increases, y generally increases, but the relationship is not perfectly linear.
Scatterplot 2:
This scatterplot also shows a somewhat linear association. As x increases, y generally increases, but there are some points that deviate from the pattern.
Scatterplot 3:
This scatterplot shows a non-linear association. As x increases, y first increases, then decreases, and then increases again. This indicates a curved relationship between x and y.
Scatterplot 4:
This scatterplot appears to show a somewhat linear association. As x increases, y generally increases, but there are some points that do not follow the pattern perfectly.
Therefore, Scatterplot 3 shows a non-linear association.