Question

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

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

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

Answer 1

To determine which table has a non-linear association, we would typically graph the points on a scatterplot and visually inspect for patterns.

Here are the coordinates for each of the tables you provided:

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

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

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

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

**Analysis of Data:**

1. **Table A**:
- As \( x \) increases, \( y \) generally increases. This suggests a potential linear relationship.

2. **Table B**:
- Here, as \( y \) values increase, the corresponding \( x \) values also trend upwards, which suggests a linear relationship as well.

3. **Table C**:
- The pattern is more scattered, and there are some values where \( y \) decreases significantly despite \( x \) increasing. This indicates a possible non-linear association.

4. **Table D**:
- The relationship looks more random with significant decreases in \( y \) as \( x \) increases. This also indicates a potential non-linear association.

**Conclusion**:
To ascertain which table has a non-linear association, Table C and Table D show more irregular patterns, but Table D appears to be particularly non-linear due to its larger variability and lack of straightforward increasing or decreasing trend.

Thus, **Table D** is the one that has a clear non-linear association based on the data provided.

For a more definitive answer, you would want to plot these points on a scatterplot, but from the analysis above, you can conclude that **Table D seems to be the best candidate** for a non-linear relationship.