scatter plot

(noun)

A type of display using Cartesian coordinates to display values for two variables for a set of data.

Related Terms

Examples of scatter plot in the following topics:

  • 3D Plots

    • Just as two-dimensional scatter plots show the data in two dimensions, 3D plots show data in three dimensions.
    • Figure 1 shows a 3D scatter plot of the fat, non-sugar carbohydrates, and calories from a variety of cereal types.
    • Interactively rotating 3D plots can sometimes reveal aspects of the data not otherwise apparent.
    • A 3D scatter plot showing fat, non-sugar carbohydrates, and calories from a variety of cereal types
    • An alternative 3D scatter plot showing fat, non-sugar carbohydrates, and calories.

  • Scatter Plots

    • The most common and easiest way is a scatter plot.
    • The following example illustrates a scatter plot.
    • Construct a scatter plot.
    • In this chapter, we are interested in scatter plots that show a linear pattern.
    • (b) Scatter plot showing the number of m-commerce users (in millions) by year.

  • Graphing Quantitative Variables

    • The upcoming sections cover the following types of graphs: (1) stem and leaf displays, (2) histograms, (3) frequency polygons, (4) box plots, (5) bar charts, (6) line graphs, (7) scatter plots, and (8) dot plots.
    • Graph types such as box plots are good at depicting differences between distributions.
    • Scatter plots are used to show the relationship between two variables.

  • Scatter Diagram

    • The researcher would then plot the data in a scatter plot, assigning "lung capacity" to the horizontal axis, and "time holding breath" to the vertical axis.
    • In the case of an experiment, a scatter plot is used when a variable exists that is below the control of the experimenter.
    • A scatter plot shows the direction and strength of a relationship between the variables.
    • A scatter plot is also useful to show how two comparable data sets agree with each other.
    • An illustration of the various patterns that scatter plots can visualize.

  • Statistical Graphics

    • Statistical graphics allow results to be displayed in some sort of pictorial form and include scatter plots, histograms, and box plots.
    • They include plots such as scatter plots , histograms, probability plots, residual plots, box plots, block plots and bi-plots.
    • Many familiar forms, including bivariate plots, statistical maps, bar charts, and coordinate paper were used in the 18th century.
    • A scatter plot helps identify the type of relationship (if any) between two variables.

  • Values of the Pearson Correlation

    • Figure 1 shows a scatter plot for which r = 1.
    • A scatter plot for which r = 0.
    • Scatter plot of Grip Strength and Arm Strength, r = 0.63

  • Homogeneity and Heterogeneity

    • By drawing vertical strips on a scatter plot and analyzing the spread of the resulting new data sets, we are able to judge degree of homoscedasticity.
    • Imagine that you have a scatter plot, on top of which you draw a narrow vertical strip.
    • When various vertical strips drawn on a scatter plot, and their corresponding data sets, show a similar pattern of spread, the plot can be said to be homoscedastic.
    • When a scatter plot is heteroscedastic, the prediction errors differ as we go along the regression line.
    • Drawing vertical strips on top of a scatter plot will result in the $y$-values included in this strip forming a new data set.

  • Plotting Points on a Graph

    • Plots play an important role in statistics and data analysis.
    • As an example of plotting points on a graph, consider one of the most important visual aids available to us in the context of statistics: the scatter plot.
    • The researcher would then plot the data in a scatter plot, assigning "lung capacity" to the horizontal axis, and "time holding breath" to the vertical axis.
    • A person with a lung capacity of 400 ml who held his breath for 21.7 seconds would be represented by a single dot on the scatter plot at the point $(400, 21.7)$.
    • The scatter plot of all the people in the study would enable the researcher to obtain a visual comparison of the two variables in the data set and will help to determine what kind of relationship there might be between the two variables.

  • Graphs for Quantitative Data

    • Plots play an important role in statistics and data analysis.
    • Below are brief descriptions of some of the most common plots:
    • Scatter plot: This is a type of mathematical diagram using Cartesian coordinates to display values for two variables for a set of data.
    • This kind of plot is also called a scatter chart, scattergram, scatter diagram, or scatter graph.
    • This is an example of a scatter plot, depicting the waiting time between eruptions and the duration of the eruption for the Old Faithful geyser in Yellowstone National Park, Wyoming, USA.

  • Plotting the Residuals

    • In scatter plots we typically plot an $x$-value and a $y$-value.
    • To create a residual plot, we simply plot an $x$-value and a residual value.
    • We see heteroscedasticity in a resitual plot as the difference in the scatter of the residuals for different ranges of values of the independent variable.
    • This figure shows a scatter plot, and corresponding residual plot, of the number of drunk driving fatalities in 2006 ($x$-value) and 2009 ($y$-value)
    • Differentiate between scatter and residual plots, and between errors and residuals