Question

match each correlation coefficient to the appropriate scatter plot.
r = 0.9 r = -0.3

Explanation:

Step1: Understand correlation coefficient

The correlation coefficient \( r \) measures the strength and direction of a linear relationship. \( r = 0.9 \) is a strong positive correlation (points cluster closely around an upward - sloping line). \( r=-0.3 \) is a weak negative correlation (points are more spread out with a slight downward trend).

Step2: Analyze scatter - plots

Looking at the first scatter - plot: The points show a general upward trend and are somewhat clustered, indicating a positive correlation. The second scatter - plot: The points are more spread out with a very weak downward trend.

Answer:

\( r = 0.9 \) matches the first scatter - plot (with an upward trend and some clustering), and \( r=-0.3 \) matches the second scatter - plot (with a weak downward trend and more spread - out points).