Scatterplots and Linear Regression

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What is a scatterplot?

Back

A scatterplot is a type of graph that shows the relationship between two different things by plotting points on a grid.

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CCSS.8.SP.A.1

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What does it mean if a scatterplot has a positive correlation?

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It means that as one thing increases, the other thing also increases.

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CCSS.HSS.ID.B.5

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What does it mean if a scatterplot has a negative correlation?

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It means that as one thing increases, the other thing decreases.

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CCSS.HSS.ID.B.5

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What is linear regression?

Back

Linear regression is a way to find a straight line that best represents the data points on a scatterplot.

Tags

CCSS.8.EE.B.5

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What is the line of best fit?

Back

The line of best fit is the straight line that best represents the data in a scatterplot.

Tags

CCSS.8.EE.B.5

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What does the slope of a line in a linear regression equation represent?

Back

The slope shows how much one variable changes when the other variable changes.

Tags

CCSS.8.EE.B.5

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If the slope is 1.5, what does that mean?

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It means that for every increase of 1 in the x value, the y value increases by 1.5.

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CCSS.HSF.LE.B.5

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What is the y-intercept in a linear equation?

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The y-intercept is the point where the line crosses the y-axis.

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How can you use a scatterplot to make predictions?

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You can look at the trend in the scatterplot to guess the value of one variable based on the value of another.

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What is an example of a positive correlation?

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An example is the relationship between the length of a running start and the distance of a jump.

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CCSS.HSF-LE.A.1B