1. The problem asks to determine the closest correlation coefficient $r$ for a scatterplot showing a roughly linear positive trend from bottom-left to top-right. 2. The correlation coefficient $r$ measures the strength and direction of a linear relationship between two variables. It ranges from $-1$ to $1$. 3. Important rules: - $r = 1$ means a perfect positive linear relationship. - $r = 0$ means no linear relationship. - $r = -1$ means a perfect negative linear relationship. 4. Since the scatterplot shows a roughly linear positive trend, $r$ should be positive and close to $1$. 5. Among the options: - a) 0 means no correlation. - b) 0.8 means strong positive correlation. - c) 1 means perfect positive correlation. - d) -1 means perfect negative correlation. 6. The data is roughly linear but not perfect, so the closest correlation coefficient is $0.8$. **Final answer:** $r = 0.8$