Question

match the linear correlation coefficient to the scatter diagram. the scales on the x - and y - axes are the same for each diagram.
(a) ( r=-0.992 )
(b) ( r = 1 )
(c) ( r = 0.049 )
(d) ( r = 0.523 )
click the icon to view the scatter diagrams.
(a) identify the scatter diagram corresponding to ( r=-0.992 ). choose the correct answer.

Explanation:

• A linear correlation coefficient \(r = - 0.992\) indicates a strong negative linear relationship.
• In a scatter - diagram with a strong negative linear relationship, as the value of the explanatory variable \(x\) increases, the value of the response variable \(y\) decreases in a nearly straight - line fashion.

Answer:

The scatter - diagram with a strong negative linear trend (points closely following a line with a negative slope) corresponds to \(r=-0.992\).