4.5 Scatter Plots and Line of Fit

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What is a scatter plot?

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A scatter plot is a graph that shows the relationship between two variables by displaying data points on a two-dimensional axis.

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CCSS.HSF-IF.C.7A

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What does a positive linear association in a scatter plot indicate?

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A positive linear association indicates that as one variable increases, the other variable also tends to increase.

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CCSS.HSS.ID.B.5

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What does a negative association in a scatter plot indicate?

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A negative association indicates that as one variable increases, the other variable tends to decrease.

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CCSS.HSF-LE.A.1B

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What is a nonlinear association?

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A nonlinear association occurs when the relationship between two variables cannot be accurately represented by a straight line.

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CCSS.8.F.A.3

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What is an outlier in a scatter plot?

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An outlier is a data point that is significantly different from other points in the dataset, often lying far away from the trend.

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CCSS.8.SP.A.1

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How can you identify an outlier in a scatter plot?

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An outlier can be identified as a point that does not follow the general pattern of the other points.

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CCSS.8.SP.A.1

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What is a line of best fit?

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A line of best fit is a straight line that best represents the data on a scatter plot, used to make predictions.

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CCSS.8.SP.A.2

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How do you use a line of best fit to make predictions?

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You can use the line of best fit to estimate the value of one variable based on the value of another variable.

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What does it mean if a scatter plot shows no relationship?

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If a scatter plot shows no relationship, it means that changes in one variable do not affect the other variable.

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CCSS.HSS.ID.B.5

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What is the purpose of using a trend line in a scatter plot?

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The purpose of a trend line is to summarize the data and help visualize the overall direction of the relationship.