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eBA Encyclopedia Statistics Terminology: Scatter Plot

01/03/13

eBA Encyclopedia Statistics Terminology: Scatter Plot

Permalink 14:20:56, Categories: eBA Basketball System, Statistics, Terminology  

eBA Encyclopedia Statistics Terminology: Scatter Plot

eBA Encyclopedia Statistics Terminology
A scatter plot is a useful summary of a set of bi variate data (two variables), usually drawn before working out a linear correlation coefficient or fitting a regression line.

It gives a good visual picture of the relationship between the two variables, and aids the interpretation of the correlation coefficient or regression model.

Each unit contributes one point to the scatter plot, on which points are plotted but not joined.

The resulting pattern indicates the type and strength of the relationship between the two variables.

lllustrations

1. The more the points tend to cluster around a straight line, the stronger the linear relationship between the two variables (the higher the correlation).

2. If the line around which the points tends to cluster runs from lower left to upper right, the relationship between the two variables is positive (direct).

3. If the line around which the points tends to cluster runs from upper left to lower right, the relationship between the two variables is negative (inverse).

4. If there exists a random scatter of points, there is no relationship between the two variables (very low or zero correlation).

5. Very low or zero correlation could result from a non-linear relationship between the variables. If the relationship is in fact non-linear (points clustering around a curve, not a straight line), the correlation coefficient will not be a good measure of the strength.

Scatter Plot

A scatter plot will also show up a non-linear relationship between the two variables and whether or not there exist any outliers in the data.

More information can be added to a two-dimensional scatter plot - for example, we might label points with a code to indicate the level of a third variable.

If we are dealing with many variables in a data set, a way of presenting all possible scatter plots of two variables at a time is in a scatter plot matrix.







Read More more details about this definition and another statistical terms at our new Statistics Terminology Glossary.

'Statistics Terminology'
is a Series of Notes edited Regularly Every Month !

To Read ALL the Articles in this Series, click here: Categories > Statistics > Terminology



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