Question

Use the tables to create scatterplots and determine which scatterplot shows a linear association.

options:


A).
x 5 8 2 4 6 12 10 1 3 7
y 800 700 350 450 500 1000 900 250 400 750

B).

x 5 8 2 4 6 12 10 1 3 7
y 550 800 350 450 700 1000 900 250 400 750

C).
x5 8 2 4 6 12 10 1 3 7
y 550 800 250 500 500 400 650 150 400 750

D).
x5 8 2 4 6 12 10 1 3 7
y550 800 250 300 700 1000 650 300 100 700

Answer 1

To determine which scatterplot shows a linear association, we need to evaluate the relationship between the x and y values in each table.

**A)**
```
x: 5, 8, 2, 4, 6, 12, 10, 1, 3, 7
y: 800, 700, 350, 450, 500, 1000, 900, 250, 400, 750
```

This data shows a more scattered pattern without a clear linear trend.

---

**B)**
```
x: 5, 8, 2, 4, 6, 12, 10, 1, 3, 7
y: 550, 800, 350, 450, 700, 1000, 900, 250, 400, 750
```

This also shows a scattered distribution, especially around low x values.

---

**C)**
```
x: 5, 8, 2, 4, 6, 12, 10, 1, 3, 7
y: 550, 800, 250, 500, 500, 400, 650, 150, 400, 750
```

The y values vary greatly with no clear linear relationship.

---

**D)**
```
x: 5, 8, 2, 4, 6, 12, 10, 1, 3, 7
y: 550, 800, 250, 300, 700, 1000, 650, 300, 100, 700
```

Similar to the other datasets, but it appears there may be a slight upward trend.

---

After evaluating each table, while none of the datasets clearly confirms a strong linear association, **option D** seems to show a bit more consistency with a slight positive trend when plotted against x, compared to the others.

### Conclusion:
**Option D** would likely be the best candidate for showing a linear association among the datasets provided, though it is still not a perfect linearity. Graphing these datasets on a scatter plot would provide a clearer visual representation of the relationships.