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.
Hint:
An outlier is a set of points that lie quite far away from the trend line. The correlation between x and y is strong if the points are clustered around the line. If the slope of the line is negative, then the correlation is negative.
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:
Step 1 of 4:
The coordinate points are:
(1,1),(2,1.1),(3,1.3),(4,1.3),(5,1.4),(6,1.6),(7,1.8),(8,1)
The scatter plot based on the coordinate points is:
Step 2 of 4:
The trend line corresponding to the graph is:
Here, the trend line is upward, which means a positive slope. Thus, the correlation is positive.
Step 3 of 4:
The points are clustered around the trend line. So, the correlation is strong among the variables x and y.
Step 4 of 4:
There exists a single outlier on the graph.
The outlier is located at (8, 1).
There can be numerous outliers in a single scatter plot itself. It describes the abnormal behavior of the graph. A trend line is used to analyze the pattern of a scatter plot.
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