Question

match each correlation coefficient to the appropriate scatter plot. the line in each scatter plot is the least squares regression line.
r = 1 r = - 0.4

Explanation:

• When \(r = 1\), it indicates a perfect positive linear relationship. In a scatter - plot with \(r = 1\), all the data points lie exactly on a straight line with a positive slope.
• When \(r=-0.4\), it indicates a negative linear relationship. The value of \(r=-0.4\) is not close to \(- 1\), so the data points are not tightly clustered around the regression line.

Answer:

• The scatter - plot with all points on a straight line (left one) has \(r = 1\).
• The scatter - plot with a negative - sloped regression line and points not tightly clustered (right one) has \(r=-0.4\).