Use the tables to create scatterplots and determine which scatterplot shows a linear association.(1 point) Responses 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 10.0x 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 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 6.7x 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 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 10.0x 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 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 12.5x 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
To create scatterplots, you need to plot the values in the tables on a graph. The x-values will be on the x-axis and the y-values will be on the y-axis.
Scatterplot 1:
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
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 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
To determine which scatterplot shows a linear association, we need to examine if the points on the graph roughly follow a straight line. If they do, then there is a linear association between the variables.
By observing the scatterplots, it appears that Scatterplot 3 shows a linear association as the points approximately follow a straight line.