Maths-
General
Easy
Question
Consider the variables x and y and the corresponding data
a) Draw a scatter plot for the data.
b) Is there a positive, negative or no correlation between x and y?
Hint:
A scatter plot has a positive correlation, if variables increase and decrease together. On the other hand, if a variable increase and the other decrease, then the correlation is negative.
We are asked to graph the scatter plot and find whether the correlation is positive, negative or none.
The correct answer is:
Step 1 of 2:
The coordinate points corresponding to the table are:
(1,20),(2,16),(4,17),(5,16),(7,14),(8,13),(10,9),(12,10)
The scatter plot based on the data is:
Step 2 of 2:
Analyzing the graph, it is that when the variable x increases, the variable y decreases. That means they are inversely proportional.
Hence, the correlation among the variables x and y are negative.
You could also find the correlation using the trend line. Draw the trend line, find its slope. It the slope is positive, the scatter plot has a positive correlation or else it is negative.
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