# Investigation the relationship between two variables using a scatter plot

**Software for Exploratory Data Analysis and Statistical Modelling**, and kindly contributed to R-bloggers]. (You can report issue about the content on this page here)

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The relationship between two variables can be visually represented using a scatter plot and will provide some insight into the correlation between the variables and possible models to describe the relationship. There are different ways to produce scatter plots in **R** making use of either the base graphics system, the **lattice** graphics library, **ggplot2** or other packages.

The **R** system has various data sets available for analysis, for example the Puromycin data which describes an experiment to study the relationship between reaction velocity and substrate concentration in an enzymatic reaction involving untreated cells or cells that were treated with Puromycin.

The variable **rate** can be plotted against the variable **conc** to investigate the relationship. Using the **lattice** package we can use the **xyplot** function to create a graph with the following code:

xyplot(rate ~ conc, data = Puromycin, xlab = "Substrate concentration (ppm)", ylab = "Reaction velocity (counts/min/min)", main = "Reaction velocity of an enzymatic reaction")

In this graph we do not distinguish between the untreated and treated cells and this code produces this graph:

We can make use of different plotting symbols to distinguish between the treated and untreated cells by the **groups** argument. We adjust the above code as follows:

xyplot(rate ~ conc, data = Puromycin, xlab = "Substrate concentration (ppm)", ylab = "Reaction velocity (counts/min/min)", main = "Reaction velocity of an enzymatic reaction", groups = state)

Here the graph is now:

An alternative would make use of the panelling facilities in **lattice** graphics to plot the data for the treated and untreated cells separately.

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