Question

question 1 of 10
which graph best represents the following situation?
as x increases, y decreases; r = -0.87.
a.
b.
c.
d.
a. graph a
b. graph b
c. graph c
d. graph d

Explanation:

Step1: Analyze the correlation coefficient

The correlation coefficient \( r=-0.87 \). Since \( r<0 \), there is a negative correlation. That means as \( x \) increases, \( y \) decreases.

Step2: Analyze the strength of the correlation

The magnitude of \( r = 0.87 \). Since \( 0.7<|r|<1 \), it is a strong correlation.

Step3: Check each graph

• Graph A: Shows a strong negative correlation (points follow a clear downward - trend).
• Graph B: Shows no clear trend (points are scattered without a consistent increasing or decreasing pattern).
• Graph C: Shows a positive correlation (as \( x \) increases, \( y \) increases).
• Graph D: Shows a weak negative correlation (points are more spread out compared to a strong correlation).

Answer:

A. Graph A