1. **State the problem:** We are given two sets of data points (x, y) and asked to draw a scatter plot and determine the type of correlation (positive, negative, or none). 2. **Recall correlation types:** - Positive correlation means as x increases, y increases. - Negative correlation means as x increases, y decreases. - No correlation means no clear pattern. 3. **Analyze the first data set:** $x = [0, 0.5, 1.25, 2.75, 3, 3.5, 4.25, 4.75, 5.25, 6]$ $y = [-3.5, -2, -0.75, 1.25, 2.5, 3.25, 5.5, 7, 8.25, 9.5]$ 4. **Observe the trend:** As $x$ increases from 0 to 6, $y$ increases from -3.5 to 9.5. 5. **Conclusion:** The data shows a positive correlation because $y$ increases as $x$ increases. 6. **Analyze the second data set:** $x = [-1.5, -1, -0.75, 0, 1.5, 2, 2.25, 3, 3.5, 4]$ $y = [-5.25, -2.5, 4, 5.75, -1.75, -3, 4.25, 5.5, 1.75, -1.25]$ 7. **Observe the trend:** The $y$ values do not consistently increase or decrease as $x$ increases; they fluctuate. 8. **Conclusion:** The data shows approximately no correlation because there is no clear increasing or decreasing pattern. **Final answers:** - First data set: positive correlation. - Second data set: approximately no correlation.