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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:

### 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 positive, the correlation is positive or else 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 give table 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 points is:

Step 2 of 3:

The trend line for the graph is:

It is clear that the trend line upwards. The slope of the line is positive. Hence, the correlation among the variables x and y are positive.

Step 3 of 4:

The points are clustered around the trend line closely and tightly. Most of the points lie on the line. Hence, the correlations among the variables are strong.

Step 4 of 4:

There exists an outlier in the graph.

It is located at (7, 1.8). It behaves differently as compared to the other set of values.

Note:

An outlier is a set of points that lie quite far away from the regression or trend line.

An outlier is a set of points that lie quite far away from the regression or trend line.

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