Question

Use the table to answer the question. 0 3 2 6 4 9 6 12 8 15 10 18 Use the data table to create a scatter plot. Estimate the correlation coefficient based on the data. (1 point) Responses −0.9 negative 0.9 1 1 −1 negative 1 0.9

Answer 1

To create a scatter plot from the data you've provided, we’ll take each pair of numbers:

- (0, 0)
- (3, 6)
- (2, 4)
- (6, 12)
- (4, 9)
- (9, 18)
- (6, 12)
- (12, 15)
- (8, 10)
- (15, 18)

While I can't create a visual scatter plot directly, I can guide you on how to plot the points on a Cartesian plane and estimate the correlation coefficient from the observations.

### Steps to Create a Scatter Plot:
1. Draw a Cartesian coordinate system with horizontal (x-axis) and vertical (y-axis).
2. Plot the points from the pairs listed above on the graph.
3. Analyze the direction of the points.

### Estimating the Correlation Coefficient:
The correlation coefficient (r) can range from -1 to 1:
- **r = 1**: Perfect positive correlation.
- **r = -1**: Perfect negative correlation.
- **r = 0**: No correlation.

### Observing the Data:
1. The general trend of the points suggests a positive correlation (as one variable increases, the other does too).
2. Since the points appear to be close to forming a linear relationship, the correlation coefficient will likely be close to 1.
3. Estimating visually based on the clustered points along an upwards slope, an approximate value could be around **0.9**.

### Conclusion:
Based on the analysis and the upward trend with a strong linear relationship in your data, the estimated correlation coefficient is **0.9**.