Question

question 5 of 10
which of the following graphs shows a negative linear relationship with a
correlation coefficient, r, relatively close to -1?
a.
b.
c.
d.
a. graph a
b. graph b
c. graph c
d. graph d

Explanation:

Step1: Understand negative linear relationship

A negative linear relationship means as one variable increases, the other decreases. Graphs A and C show no clear negative trend (A is scattered, C is positive trend).

Step2: Consider correlation coefficient close to - 1

A correlation coefficient close to - 1 implies points are tightly clustered around a negative - sloping line. Graph B has points that are more tightly clustered in a negative - sloping pattern compared to Graph D (Graph D has points that are more spread out horizontally and do not show a strong negative linear trend).

Answer:

B. Graph B