which of the following graphs shows a negative linear relationship with a correlation coefficient, r…

which of the following graphs shows a negative linear relationship with a correlation coefficient, r, relatively close to -1? a. graph a b. graph b c. graph c d. graph d

which of the following graphs shows a negative linear relationship with a correlation coefficient, r, relatively close to -1? a. graph a b. graph b c. graph c d. graph d

Answer

Explanation:

Step1: Understand negative linear relationship

A negative linear relationship means as one variable increases, the other decreases in a linear - like fashion. Graphs A and C show no linear relationship (A is random and C is positive linear), so we can rule them out.

Step2: Consider correlation coefficient close to - 1

A correlation coefficient $r$ close to - 1 means the data points are closely clustered around a straight - line with a negative slope. Graph B has data points more closely aligned in a negative linear pattern compared to Graph D where the points are more scattered.

Answer:

B. Graph B