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Scatter Plots and Bivariate Data

Mathematics Grade 8 Difficulty 3/5

Beginning of the lesson

Scatter Plots and Bivariate Data

What are Scatter Plots?

A scatter plot is a type of graph that shows the relationship between two different variables. Each point on the scatter plot represents one data pair, with one value determining the position on the x-axis and the other value determining the position on the y-axis.

Scatter plots help us visualize and analyze bivariate data — data that involves two variables measured for the same individuals or objects.

Key Terms:
  • Bivariate data: Data that involves two variables for the same set of individuals or objects
  • Scatter plot: A graph showing the relationship between two variables
  • Correlation: A measure of how strongly two variables are related to each other

Creating a Scatter Plot

To create a scatter plot:

  1. Identify your two variables (one for the x-axis, one for the y-axis)
  2. Draw and label your axes with appropriate scales
  3. Plot each data pair as a point on the graph
  4. Add a title and labels for both axes

Analyzing Scatter Plots

When analyzing a scatter plot, we look for patterns that tell us about the relationship between the variables:

Positive Correlation

Points trend from lower left to upper right. As one variable increases, the other tends to increase.

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Negative Correlation

Points trend from upper left to lower right. As one variable increases, the other tends to decrease.

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No Correlation

Points show no clear pattern. The variables don't appear to be related.

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Strength of Correlation

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  • Worked examples
  • Common mistakes and how to avoid them
  • Test questions: 15
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