1. The problem asks to match each scatterplot with its corresponding correlation coefficient $r$. 2. Recall that the correlation coefficient $r$ measures the strength and direction of a linear relationship between two variables. - $r$ ranges from $-1$ to $1$. - Positive $r$ indicates a positive association (points slope upward). - Negative $r$ indicates a negative association (points slope downward). - The closer $|r|$ is to 1, the stronger the linear relationship. 3. Analyze each scatterplot description: - Scatterplot A: Points show a positive association, tightly clustered, so $r$ should be positive and strong. - Scatterplot B: Points show a positive association but less tightly clustered, so $r$ is positive but weaker. - Scatterplot C: Points show a negative association, moderately strong. - Scatterplot D: Points show a strong negative association, tightly clustered. 4. Match the coefficients: - Scatterplot A matches $r=0.83$ (strong positive). - Scatterplot B matches $r=0.37$ (weaker positive). - Scatterplot C matches $r=-0.67$ (moderate negative). - Scatterplot D matches $r=-0.85$ (strong negative). Final answer: - Scatterplot A: $r=0.83$ - Scatterplot B: $r=0.37$ - Scatterplot C: $r=-0.67$ - Scatterplot D: $r=-0.85$