Maths-
General
Easy

Question

Consider this simple bivariate data set
a)Draw a scatter plot for the data
b)Describe the correlation between x and y as positive or negative.
c)Describe the correlation between x and y as strong or weak.
d)Identify any outliers.

hintHint:

If the points are clustered around the trend line, then the correlation is quite strong or else weak. If the slope of the line is negative the correlation is negative or else positive.
We are asked to plot the scatter graph, check if the correlation between x and y are strong or weak, negative or positive and find any outlier.

The correct answer is: We are asked to plot the scatter graph, check if the correlation between x and y are strong or weak, negative or positive and find any outlier.


    Step 1 of 4:
    The coordinate points for the given table are:
    (14,4),(8,2.5),(7,2.5),(10,1.5),(11,1.5),(15,0.5),(6,3),(9,2),(10,2)
    The scatter plot based on the coordinate points is:

    Step 2 of 4:
    The trend line that describes the pattern of the graph is:

    Here, the trend line of the scatter plot id downward, which means the slope is negative. Hence, the correlation among x and y are negative.
    Step 3 of 4:
    The points are clustered around the line. This indicates a strong correlation among the variables x and y.
    Step 4 of 4:
    There exists an outlier in the scatter plot.
    It is located at (14, 4). It shows a variation in behavior and direction in comparison with the rest of the values.
    Note:
    An outlier is a set of points that lie quite far away from the regression or trend line.

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