Maths-
General
Easy

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 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?

hintHint:

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 one outlier in the give graph.
    The person is about 72 inches tall and makes zero dollars as allowance.
    Step 3 of 5:
    The given graph has an upward-sloping curve. Moreover, the points are aligned together resulting in the formation of a curve.
    Hence, the graph is nonlinear.
    Step 4 of 5:
    It is clearly evident that as you become taller, the amount you receive as an allowance increase slowly but steadily.
    Hence, there exists a positive nonlinear relation among the set of data.
    Step 5 of 5:
    The relation is an example of correlation. Here, the height is not a factor for the amount you get as an allowance. We could just establish a relation but not express that height is the cause you get more allowance.
     

    Causation explicitly applies to cases where one action causes the outcome of another action. Whereas, correlation is simply a relationship.

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    c) Is this association linear or non-linear? Explain why.
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    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?

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