Question

Determine which table has a non-linear association by graphing it on a scatterplot.(1 point)
Responses table 1,2,3,or4

x
2 5 7 9 3 1 4 8 6 10
y
60 75 80 95 65 50 70 82 78 100
x 2 5 7 9 3 1 4 8 6 10 y 60 75 80 95 65 50 70 82 78 100

x
2 5 7 9 3 1 4 8 6 10
y
60 75 90 97 65 50 70 60 78 100
x 2 5 7 9 3 1 4 8 6 10 y 60 75 90 97 65 50 70 60 78 100

x
2 5 7 9 3 1 4 8 6 10
y
60 75 80 65 22 59 86 100 25 97
x 2 5 7 9 3 1 4 8 6 10 y 60 75 80 65 22 59 86 100 25 97

x
60 75 80 95 65 50 70 82 78 100
y
2 5 7 9 3 1 4 8 6 10

Answer 1

To determine which table has a non-linear association by graphing the data on a scatterplot, we need to analyze the provided (x, y) data pairs from each table.

1. **Table 1:**
- x: 2, 5, 7, 9, 3, 1, 4, 8, 6, 10
- y: 60, 75, 80, 95, 65, 50, 70, 82, 78, 100

This data appears to increase as x increases, but we need to plot the points to confirm whether the relationship is linear or not.

2. **Table 2:**
- x: 2, 5, 7, 9, 3, 1, 4, 8, 6, 10
- y: 60, 75, 90, 97, 65, 50, 70, 60, 78, 100

Again, this data needs to be plotted to verify the relationship's nature.

3. **Table 3:**
- x: 2, 5, 7, 9, 3, 1, 4, 8, 6, 10
- y: 60, 75, 80, 65, 22, 59, 86, 100, 25, 97

This dataset shows a more irregular pattern; plotting it would show whether it follows a non-linear pattern.

4. **Table 4:**
- x: 60, 75, 80, 95, 65, 50, 70, 82, 78, 100
- y: 2, 5, 7, 9, 3, 1, 4, 8, 6, 10

This table has x and y switched, suggesting that it will not have the same characteristics as the previous tables.

To analyze which table has a non-linear association, we would typically check the scatterplots visually. However, I can describe what trends would indicate non-linearity.

- If the points follow a curve, show clusters, or deviate from a straight line, then the table likely exhibits a non-linear association.

### Conclusion:
Without direct graphs to visualize, I can deduce that Table 3, which has values that deviate more irregularly than the others, likely represents a non-linear association. The presence of lower y-values and inconsistencies suggests a potential curve or non-linear behavior.

So, the table with a non-linear association is **Table 3**.