Question

use the tables to create Scatter Plots and determine which scatterplot shows a linear Association

Answer 1

Table 1:

| X | Y |
|------|------|
| 1 | 2 |
| 2 | 4 |
| 3 | 6 |
| 4 | 8 |
| 5 | 10 |

Table 2:

| X | Y |
|------|------|
| 1 | 2 |
| 2 | 4 |
| 3 | 9 |
| 4 | 16 |
| 5 | 25 |

To create a scatter plot, we plot the points (X, Y) for each row in the table.

Scatter Plot 1:

- Points: (1, 2), (2, 4), (3, 6), (4, 8), (5, 10)
- Scatter Plot:
- All points lie on a straight line
- The points show a linear association, as the relationship between X and Y is linear

Scatter Plot 2:

- Points: (1, 2), (2, 4), (3, 9), (4, 16), (5, 25)
- Scatter Plot:
- Points do not lie on a straight line
- The points do not show a linear association, as the relationship between X and Y is not linear

Therefore, Scatter Plot 1 shows a linear association, while Scatter Plot 2 does not show a linear association.