use the tables to create scatterplots and determine which scatterplot shows a non-linear association
Table 1:
X Y
1 2
2 4
3 6
4 8
5 10
Table 2:
X Y
1 1
2 4
3 9
4 16
5 25
Table 3:
X Y
1 3
2 6
3 9
4 12
5 15
Table 1:
X Y
1 2
2 4
3 6
4 8
5 10
Table 4:
X Y
1 1
2 2
3 4
4 8
5 16
To determine which scatterplot shows a non-linear association, we will plot each set of data points in a scatterplot.
Scatterplot of Table 1:
The scatterplot of Table 1 shows a linear association between X and Y.
Scatterplot of Table 2:
The scatterplot of Table 2 shows a non-linear association between X and Y, as the data points form a curved pattern.
Scatterplot of Table 3:
The scatterplot of Table 3 shows a linear association between X and Y.
Scatterplot of Table 4:
The scatterplot of Table 4 shows a non-linear association between X and Y, as the data points do not form a straight line.
Therefore, the scatterplots of Table 2 and Table 4 show a non-linear association.