Question

identify the correlation coefficient r that is most likely to correspond with the scatterplot below.
show your work here
\\( r = -0.93 \\) \\( r = -0.55 \\)
\\( r = 0.05 \\) \\( r = 0.51 \\)
\\( r = 0.86 \\)

Explanation:

Step1: Analyze the scatterplot's trend

The scatterplot shows points with no strong upward or downward trend. A correlation coefficient close to 0 indicates little to no linear relationship.

Step2: Evaluate the options

• \( r = -0.93 \) and \( r = -0.55 \) are negative, implying a downward trend, which doesn't match.
• \( r = 0.51 \) and \( r = 0.86 \) are positive, implying an upward trend, which doesn't match.
• \( r = 0.05 \) is close to 0, indicating a very weak or no linear relationship, matching the scatterplot's random distribution.

Answer:

\( r = 0.05 \)