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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iii) x when y=1.5

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b)Describe the correlation between x and y as strong or weak.

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