Question

For the data shown in the scatter plot, which is the best estimate of r?

Answer 1

Solution:

From the scatter plot, the following coordinates can be derived for the points;

The scatter plot with the points is as shown below on a graph plotter;

From the sketch and plot, the correlation coefficient of the plot with the line parameters is as shown;

From the above,

$r=-0.9871$

The scatter plot shows a strong association where r is close to -1.

The following relation occurs for a scatter plot;

The plot shows a strong association with r close to -1.

Hence, from the plot made and the scatter plot given, it shows the correlation coefficient is close to minus 1.

Hence, the best estimate from the options is;

$r=-0.94$