Question

Use the tables to create scatterplots and determine which scatterplot shows a linear association.(1 point)
Responses

x
5.0 4.6 8.5 7.8 6.8 5.3 7.0 7.2
y
12.0 8.5 6.0 10.0 12.0 10.0 12.0 10.0
x 5.0 4.6 8.5 7.8 6.8 5.3 7.0 7.2 y 12.0 8.5 6.0 10.0 12.0 10.0 12.0 10.0

x
5.0 4.6 8.5 5.9 7.8 5.3 7.0 7.2
y
12.0 9.0 15.0 11.0 13.0 8.0 14.5 10.0
x 5.0 4.6 8.5 5.9 7.8 5.3 7.0 7.2 y 12.0 9.0 15.0 11.0 13.0 8.0 14.5 10.0

x
5.0 4.6 8.5 7.8 6.4 6.8 7.0 7.2
y
3.7 2.7 6.5 2.0 5.6 3.0 7.8 6.7
x 5.0 4.6 8.5 7.8 6.4 6.8 7.0 7.2 y 3.7 2.7 6.5 2.0 5.6 3.0 7.8 6.7

x
5.0 4.6 5.9 7.8 6.4 6.8 5.3 7.2
y
9.5 9.0 11.0 13.0 11.5 12.0 10.0 12.5

Answer 1

To determine which scatterplot shows a linear association, we can analyze the provided (x, y) data points from each set.

### 1st Set of Data:
- x: 5.0, 4.6, 8.5, 7.8, 6.8, 5.3, 7.0, 7.2
- y: 12.0, 8.5, 6.0, 10.0, 12.0, 10.0, 12.0, 10.0

Plotting these points, there is no clear linear trend.

### 2nd Set of Data:
- x: 5.0, 4.6, 8.5, 5.9, 7.8, 5.3, 7.0, 7.2
- y: 12.0, 9.0, 15.0, 11.0, 13.0, 8.0, 14.5, 10.0

Plotting these points suggests a more scattered set; there is variability but no clear linear tendency.

### 3rd Set of Data:
- x: 5.0, 4.6, 8.5, 7.8, 6.4, 6.8, 7.0, 7.2
- y: 3.7, 2.7, 6.5, 2.0, 5.6, 3.0, 7.8, 6.7

These points are quite scattered and do not suggest a linear relationship.

### 4th Set of Data:
- x: 5.0, 4.6, 5.9, 7.8, 6.4, 6.8, 5.3, 7.2
- y: 9.5, 9.0, 11.0, 13.0, 11.5, 12.0, 10.0, 12.5

When plotted, this set of points appears to follow a clearer upward trend, suggesting a linear association.

### Conclusion:
Based on the descriptions and analyses, the **4th set of data** has the scatterplot that shows the strongest linear association.