Questions: Estimate the correlation coefficient for each of the following. (a) near 0.00 near -0.75 near 0.75 near 0.33 near -0.33 (b) near 0.00 near -0.75 near 0.75 near 0.33 near -0.33 (c) near 0.00 near -0.75 near 0.75 near 0.33

Solution Steps

The first scatter plot shows a clear negative linear relationship between the variables. The points are closely clustered around a downward-sloping line.

Given the strong negative linear relationship, the correlation coefficient is likely to be near -0.75.

The second scatter plot shows no clear linear relationship between the variables. The points are scattered randomly.

Given the lack of any linear relationship, the correlation coefficient is likely to be near 0.00.

The third scatter plot shows a clear positive linear relationship between the variables. The points are closely clustered around an upward-sloping line.

Given the strong positive linear relationship, the correlation coefficient is likely to be near 0.75.

Final Answer