Question
Use the given scatter plots to answer the questions.
a) Does this scatter plot show a positive association, negative association, or non-association? Explain why.
b) Is there an outlier(s) in this data set? If so, approximately how many pets does that person(s) have?
c) Is this association linear or non-linear? Explain why.
d) What can you say about the relationship between your last name and the number of pets you have?
e) Are there other patterns that you notice about people’s last names and how many pets they have?
Hint:
An outlier for a scatter plot is the point or the set of points that are farthest from the trend line.
If the trend line has a positive slope, then the scatter plot has a positive association. This indicates a direct proportion of the set of data.
We are asked to check whether the association is positive or negative, existence of an outlier, the behavior of the graph, the relationship between the data set and any other pattern for the graph.
The correct answer is: We are asked to check whether the association is positive or negative, existence of an outlier, the behavior of the graph, the relationship between the data set and any other pattern for the graph.
ANSWER:
Step 1 of 5:
The trend line for the graph can be drawn as:
Analyzing the line in comparison to the points, it’s clear that the line has a negative slope (a downward line).
Thus, the line has a negative association.
Step 2 of 5:
Yes, there are four outliers.
Person A, whose first letter of the last name starts with ‘B’ has 8 pets.
Person B, whose first letter of the last name starts with ‘F’ has 13 pets.
Person C, whose first letter of the last name starts with ‘I’ has 4 pets.
Person D, whose first letter of the last name starts with ‘R’ has 6 pets.
Step 3 of 5:
The give graph has linear behavior. The points are almost arranged in a straight line and there is not any curve pattern. Moreover, approximation of a trend line is possible for the given graph.
Step 4 of 5:
The graphs shows that as your first letter of your last name increases, the number of pets you own decreases.
Thus, this establishes a negative linear relation between the set of data.
Step 5 of 5:
People with their first letter from A to H have at least 8 pets. In addition, people with first letter of their last name from I to Q has at least 3 pets. Moreover, people with their first letter of their last name from R to Z have at most two pets.
Analyzing the line in comparison to the points, it’s clear that the line has a negative slope (a downward line).
Thus, the line has a negative association.
Step 2 of 5:
Yes, there are four outliers.
Person A, whose first letter of the last name starts with ‘B’ has 8 pets.
Person B, whose first letter of the last name starts with ‘F’ has 13 pets.
Person C, whose first letter of the last name starts with ‘I’ has 4 pets.
Person D, whose first letter of the last name starts with ‘R’ has 6 pets.
Step 3 of 5:
The give graph has linear behavior. The points are almost arranged in a straight line and there is not any curve pattern. Moreover, approximation of a trend line is possible for the given graph.
Step 4 of 5:
The graphs shows that as your first letter of your last name increases, the number of pets you own decreases.
Thus, this establishes a negative linear relation between the set of data.
Step 5 of 5:
People with their first letter from A to H have at least 8 pets. In addition, people with first letter of their last name from I to Q has at least 3 pets. Moreover, people with their first letter of their last name from R to Z have at most two pets.
It is possible to have more than one outlier in a scatter plot. It shows the distribution of data.
