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 in this data set? If so, approximately how old is the outlier and about how many minutes does he or she spend with family per day?
c) Is this association linear or non-linear? Explain why.
d) What can you say about the relationship between your age and the amount of time that you spend with family?

hintHint:

A negative or inverse relationship can be shown with downward-sloping curve. Some relationships are linear while some are nonlinear. If the slope is negative, then the association is called negative association.
We are asked to find the whether the graph has negative, positive or non-association, existence of outliers, the behavior of the graph and the relationship between the set of data.

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 and the relationship between the set of data.


    ANSWER:
    Step 1 of 4:


    Here, the graphical representation of the data is nonlinear. Moreover, we can free-handily draw a downward- slope describing the relation between the data set.
    Thus, indicates that the scatter plot has a negative association.
    Step 2 of 4:
    There is not any outlier in the given graph, since; there are not any points that lie far away from the pattern.
    Step 3 of 4:
    The given graph has a downward-sloping curve. Moreover, the points are aligned together resulting in the formation of a curve.
    Hence, the graph is nonlinear.
    Step 4 of 4:
    Analyzing the graph, we get to see that as your age increases, the amount of time spend with your family decreased steadily.
    Thus, the set of data has a negative nonlinear relationship.
     

    An outlier is a point or a set of points that lie quite far away from the line or pattern of the scatter plot. Slope of a line is the measure of a line’s inclination relative to the horizontal.

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