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 old is that person and how much does he or she make in allowance each week?
c) Is this association linear or non-linear? Explain why.
d) What can you say about the relationship between your height and your allowance?
e) Do you think that being older means that you will get more allowance? In other words, do think this relationship is a causation or a correlation?
Hint:
A positive or direct relationship can be shown with upward-sloping curve. Some relationships are linear while some are nonlinear. If the slope is positive, then the association is called positive association.
We are asked to find the whether the graph has negative, positive or non-association, existence of outliers, the behavior of the graph, the relationship between the set of data and whether the relation is a causation or a correlation.
The correct answer is: We are asked to find the whether the graph has negative, positive or non-association, existence of outliers, the behavior of the graph, the relationship between the set of data and whether the relation is a causation or a correlation.
ANSWER:
Step 1 of 5:
Here, the graphical representation of the data is nonlinear. Moreover, we can free-handily draw an upward- slope describing the relation between the data set.
Thus, indicates that the scatter plot has a positive association.
Step 2 of 5:
Yes, there is an outlier.
The person is approximately 16 years old and makes zero dollars a week.
Step 3 of 5:
The given graph has an inward-sloping curve. Moreover, the points are aligned together resulting in the formation of a curve.
Hence, the graph is nonlinear.
Step 4 of 5:
When we analyze the graph, it is clear that as your height increases, the amount you make as an allowance on a weekly basis also increases.
In other words, we can say that, the set of data are directly related and has a positive nonlinear relation.
Step 5 of 5:
The relation is an example of causation. Here, the age is definitely a factor for the amount they get as an allowance. The older you are, the more allowance you get.
As you get older, you become more responsible and have more expenses. Thus, you are bound to get more allowance.
Here, the graphical representation of the data is nonlinear. Moreover, we can free-handily draw an upward- slope describing the relation between the data set.
Thus, indicates that the scatter plot has a positive association.
Step 2 of 5:
Yes, there is an outlier.
The person is approximately 16 years old and makes zero dollars a week.
Step 3 of 5:
The given graph has an inward-sloping curve. Moreover, the points are aligned together resulting in the formation of a curve.
Hence, the graph is nonlinear.
Step 4 of 5:
When we analyze the graph, it is clear that as your height increases, the amount you make as an allowance on a weekly basis also increases.
In other words, we can say that, the set of data are directly related and has a positive nonlinear relation.
Step 5 of 5:
The relation is an example of causation. Here, the age is definitely a factor for the amount they get as an allowance. The older you are, the more allowance you get.
As you get older, you become more responsible and have more expenses. Thus, you are bound to get more allowance.
Causation explicitly applies to cases where one action causes the outcome of another action. Whereas, correlation is simply a relationship.
Related Questions to study
The measure of an angle is 5 times the measure of its complement. Find the measure of each angle.
The measure of an angle is 5 times the measure of its complement. Find the measure of each angle.
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 tall is that person and how much does he or she make in allowance each week?
c) Is this association linear or non-linear? Explain why.
d) What can you say about the relationship between your height and your allowance?
e) Do you think that being taller means that you will get more allowance? In other words, do you think this relationship is causation or a correlation?
Causation explicitly applies to cases where one action causes the outcome of another action. Whereas, correlation is simply a relationship.
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 tall is that person and how much does he or she make in allowance each week?
c) Is this association linear or non-linear? Explain why.
d) What can you say about the relationship between your height and your allowance?
e) Do you think that being taller means that you will get more allowance? In other words, do you think this relationship is causation or a correlation?
Causation explicitly applies to cases where one action causes the outcome of another action. Whereas, correlation is simply a relationship.
Two angles form a linear pair. The measure of one angle is twice measure of the other. Find the measure of each angle.
Two angles form a linear pair. The measure of one angle is twice measure of the other. Find the measure of each angle.
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 old is that person?
c) Is this association linear or non-linear? Explain why.
d) What can you say about the relationship between your last name and your age?
It is not necessary that each and every scatter plot must have a relation among the set of data. If the points are completely scattered around the graph, we can deduce a relation for the graph.