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Lesson 12.2 Scatter Plots

Scatter Plots, in General

The most common way to display the relation between two variables x and y is with a scatter plot. A scatter plot is just points plotted on an x-y graph. The following graph is a scatter plot.

Scatterplot example

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Direction and Strength

A scatter plot shows the direction and strength of a relationship between the variables. A clear direction happens when one of the following is true:

  • high values of one variable occur with high values of the other variable.
  • low values of one variable occur with low values of the other variable.
  • high values of one variable occur with low values of the other variable.

If the points appear close to a line, a power function, an exponential function, or some other known function, then there is generally a strong relationship between the variables.

It is the overall pattern and any deviations that are important in a scatter plot. We are interested in scatter plots that show a linear pattern, particularly a strong one.

Scatterplot showing strong positive linear pattern Scatterplot showing strong negative linear pattern

Scatterplot showing  a linear pattern with one deviation Scatterplot showing no pattern 

Please continue to the next section of this lesson.

 

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Up » 12.1 Linear Equations » 12.2 Scatter Plots » 12.3 The Regression Equation » 12.4 The Correlation Coefficient » 12.5 Prediction » 12.6 Outliers » 12.7 TI-83

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