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match each correlation coefficient to the appropriate scatter plot. the…

Question

match each correlation coefficient to the appropriate scatter plot. the line in each scatter plot is the least squares regression line.

(scatter plots and correlation coefficient options: r = 0, r = -0.5, and two scatter plots with regression lines)

Explanation:

Step1: Analyze top scatter plot

The top plot has a downward-sloping regression line, showing a negative linear relationship between $x$ and $y$, so it matches $r=-0.5$.

Step2: Analyze bottom scatter plot

The bottom plot has a vertical regression line, meaning there is no linear association between $x$ and $y$, so it matches $r=0$.

Answer:

Top scatter plot: $r=-0.5$
Bottom scatter plot: $r=0$