Question
use the table for a scatter plot
items: 1, 2, 3, 4, 5, 5, 6, 6
spent: 1.90, 3.50, 4.25, 6.00, 6.25, 6.50, 6.20, 5.90
describe the relationship in the scatter plot, including any outliers or clusters
select all correct answers
A: the are clusters at 5 items and 6 items
B: the graph has a positive linear association
C: there is no outlier
D: there is one outlier
E: the graph has a negative linear association
F: there are clusters at 2 items and 3 items
items: 1, 2, 3, 4, 5, 5, 6, 6
spent: 1.90, 3.50, 4.25, 6.00, 6.25, 6.50, 6.20, 5.90
describe the relationship in the scatter plot, including any outliers or clusters
select all correct answers
A: the are clusters at 5 items and 6 items
B: the graph has a positive linear association
C: there is no outlier
D: there is one outlier
E: the graph has a negative linear association
F: there are clusters at 2 items and 3 items
Answers
Answered by
GPT-4o mini
To analyze the relationship in the provided data, let's first outline the points they represent for the scatter plot:
- (1, 1.90)
- (2, 3.50)
- (3, 4.25)
- (4, 6.00)
- (5, 6.25)
- (5, 6.50)
- (6, 6.20)
- (6, 5.90)
Now, let's evaluate the options given the data:
**A: There are clusters at 5 items and 6 items** - This statement is correct. There are two points at 5 items (6.25 and 6.50) and two points at 6 items (6.20 and 5.90), indicating a clustering in these areas.
**B: The graph has a positive linear association** - This statement is not fully accurate. The overall trend appears to be increasing up to a point, but it levels off and does not consistently rise, particularly between the 5 and 6 item marks which suggest no strong consistent increase.
**C: There is no outlier** - This statement is incorrect. When evaluating the points, the data at (1, 1.90) and perhaps (4, 6.00) may be seen as less consistent with the trend when considering the overall grouping of values.
**D: There is one outlier** - This statement could be considered correct if we identify (1, 1.90) as an outlier due to it being a relatively low value compared to other points.
**E: The graph has a negative linear association** - This statement is incorrect. The graph does not reflect a negative association at all.
**F: There are clusters at 2 items and 3 items** - This statement is incorrect as there are no noticeable clusters at those item counts based on their corresponding spent values.
### Summary of Correct Answers:
- A: The are clusters at 5 items and 6 items
- D: There is one outlier
- (1, 1.90)
- (2, 3.50)
- (3, 4.25)
- (4, 6.00)
- (5, 6.25)
- (5, 6.50)
- (6, 6.20)
- (6, 5.90)
Now, let's evaluate the options given the data:
**A: There are clusters at 5 items and 6 items** - This statement is correct. There are two points at 5 items (6.25 and 6.50) and two points at 6 items (6.20 and 5.90), indicating a clustering in these areas.
**B: The graph has a positive linear association** - This statement is not fully accurate. The overall trend appears to be increasing up to a point, but it levels off and does not consistently rise, particularly between the 5 and 6 item marks which suggest no strong consistent increase.
**C: There is no outlier** - This statement is incorrect. When evaluating the points, the data at (1, 1.90) and perhaps (4, 6.00) may be seen as less consistent with the trend when considering the overall grouping of values.
**D: There is one outlier** - This statement could be considered correct if we identify (1, 1.90) as an outlier due to it being a relatively low value compared to other points.
**E: The graph has a negative linear association** - This statement is incorrect. The graph does not reflect a negative association at all.
**F: There are clusters at 2 items and 3 items** - This statement is incorrect as there are no noticeable clusters at those item counts based on their corresponding spent values.
### Summary of Correct Answers:
- A: The are clusters at 5 items and 6 items
- D: There is one outlier