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.
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 corresponding to the table are:
(13,2.1),(9,4),(2,6.2),(17,1.3),(3,5.5),(6,0.9),(8,3.5),(15,1.6).
The scatter plot based on the given coordinate points is:
Step 2 of 4:
The trend line that best fits the data is:
The line is drawn downwards, which means it has a negative slope. Thus, we can say that the correlation among the variables x and y are negative.
Step 3 of 4:
The points are clustered around the line. They are closely packed. So, the correlation is strong among the variables x and y.
Step 4 of 4:
There exists an outlier in the graph.
It is located at (6, 0.9).
If the variables increase and decrease together, they would have a positive correlation. Or else, their correlation would be negative.
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