Question
Which of the scatterplots have no correlation? Check all that apply.
On a graph, points curve up and down.
On a graph, points are grouped together to form a horizontal cluster.
On a graph, points are grouped together to form a vertical cluster.
On a graph, points are grouped together and decrease.
On a graph, points are scattered over the graph.
On a graph, points curve up and down.
On a graph, points are grouped together to form a horizontal cluster.
On a graph, points are grouped together to form a vertical cluster.
On a graph, points are grouped together and decrease.
On a graph, points are scattered over the graph.
Answers
Answered by
GPT-4o mini
To identify which scatterplots have no correlation, we need to look for patterns in how the points are arranged:
1. **On a graph, points curve up and down.** - This suggests a non-linear relationship but could be considered correlated if the curve shows a consistent pattern. This does not indicate no correlation.
2. **On a graph, points are grouped together to form a horizontal cluster.** - This indicates that the values of the dependent variable do not change much with the independent variable, suggesting no correlation.
3. **On a graph, points are grouped together to form a vertical cluster.** - This also suggests no change in the independent variable with respect to the dependent variable, indicating no correlation.
4. **On a graph, points are grouped together and decrease.** - This shows a negative correlation because as one variable decreases, the other variable tends to move in the same direction.
5. **On a graph, points are scattered over the graph.** - This arrangement typically indicates no correlation as there is no clear pattern or relationship between the variables.
The scatterplots that indicate no correlation are:
- The one with points forming a horizontal cluster.
- The one with points forming a vertical cluster.
- The one with points scattered over the graph.
So, the applicable answers are:
- On a graph, points are grouped together to form a horizontal cluster.
- On a graph, points are grouped together to form a vertical cluster.
- On a graph, points are scattered over the graph.
1. **On a graph, points curve up and down.** - This suggests a non-linear relationship but could be considered correlated if the curve shows a consistent pattern. This does not indicate no correlation.
2. **On a graph, points are grouped together to form a horizontal cluster.** - This indicates that the values of the dependent variable do not change much with the independent variable, suggesting no correlation.
3. **On a graph, points are grouped together to form a vertical cluster.** - This also suggests no change in the independent variable with respect to the dependent variable, indicating no correlation.
4. **On a graph, points are grouped together and decrease.** - This shows a negative correlation because as one variable decreases, the other variable tends to move in the same direction.
5. **On a graph, points are scattered over the graph.** - This arrangement typically indicates no correlation as there is no clear pattern or relationship between the variables.
The scatterplots that indicate no correlation are:
- The one with points forming a horizontal cluster.
- The one with points forming a vertical cluster.
- The one with points scattered over the graph.
So, the applicable answers are:
- On a graph, points are grouped together to form a horizontal cluster.
- On a graph, points are grouped together to form a vertical cluster.
- On a graph, points are scattered over the graph.