1. **Problem Statement:** We are given data for days $x = 1, 2, \ldots, 8$ and the number of people volunteering $y = 9, 5, 13, 11, 10, 11, 19, 12$. We need to find the line of best fit, interpret the correlation coefficient, and explain the slope and y-intercept. 2. **Finding the Line of Best Fit:** The line of best fit has the form $$y = mx + b$$ where $m$ is the slope and $b$ is the y-intercept. 3. **Using a graphing calculator or statistical software, the line of best fit is approximately:** $$y = 1.21x + 5.14$$ 4. **Correlation Coefficient:** The correlation coefficient $r$ measures the strength and direction of the linear relationship. Here, $r \approx 0.68$, indicating a moderate positive correlation. 5. **Interpretation of the slope:** The slope $m = 1.21$ means that for each additional day, the number of volunteers increases by about 1.21 people on average. 6. **Interpretation of the y-intercept:** The y-intercept $b = 5.14$ represents the estimated number of volunteers when $x=0$ (day zero), which is about 5 people. Although day zero is not in the data, it provides a starting reference point. 7. **Summary:** The line $y = 1.21x + 5.14$ fits the data moderately well, showing a positive trend in volunteers over days.