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Statistics[ScatterPlot] - generate scatter plots

Calling Sequence

ScatterPlot(X, Y, options, plotoptions)

ScatterPlot[interactive](X, Y)

Parameters

X

-

first data sample

Y

-

(optional) second data sample

options

-

(optional) equation(s) of the form option=value where option is one of bandwidth, color, degree, fit, jitter, legend, lowess, robust, xerrors, or yerrors; specify options for generating the scatter plot

plotoptions

-

options to be passed to the plots[display] command

Description

• 

The ScatterPlot command generates a one or two-dimensional scatter plot for the specified data. Optionally, one can fit a curve or apply lowess smoothing to the data.

• 

The first parameter, X, is the first data sample - given as a Vector or list.

• 

The second parameter, Y, is the second data sample - given as a Vector or list.

• 

If Y is not given, then X is plotted by itself, with every entry in it being given an associated y-value of 1.

• 

Note that X and Y must have the same number of elements.

Examples

withStatistics:

N:=200:

U:=SampleNormal0,1,N:

X:=seq1..N:

Y:=seqsin2πiN+Ui5,i=1..N:

The command to create the plot from the Plotting Guide using the data above is

ScatterPlotX,Y

Apply lowess smoothing to the scatter plot.

P:=ScatterPlotX,Y,lowess,degree=3,thickness=3,title=Scatter Plot,legend=Point data:

Q:=plotsin2πxN,x=1..N,thickness=3,color=Niagara Green:

plots[display]P,Q

Add a fitted curve to the scatter plot.

R:=ScatterPlotX,Y,fit=at4+bt3+ct2+dt+e,t,thickness=3,legend=points=Point data,fit=typesetfit to a ,4th,degree polynomial:

plots[display]R,Q

To make use of the one dimensional features, simply don't supply a second data sample.

ScatterPlotY,size=600,200

In the above plot, all the y-values are one. To get a better sense of the density of the one dimensional data, use the jitter option.

ScatterPlotY,jitter,size=600,200

If this view is now too sparse, a view option can be used to adjust it.

ScatterPlotY,jitter,view=1.2..1.2,0.75..1.75,size=600,200

See Also

CurveFitting, Statistics, Statistics[PointPlot], Statistics[QuantilePlot], Statistics[Visualization], Statistics[Lowess], Statistics[ScatterPlot3D]


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