Question

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

Answer 1

The best estimate for 'r' from the options given is -0.94

From the graph given, we can observe that the trend of the graph slopes downward, which means there is a negative association between the plotted variables. Hence, the correlation coefficient would be a negative value.

Also, we can visualize a linear trend for the plot with a well defined pattern. This means that there is a good association between the two variables . Hence, the correlation coefficient would be close to -1 .

Hence, the best estimate of 'r' is -0.94

Answer 2

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`