Scatterplots: Correlation and Line of Best Fit (Abridged)

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What is a scatterplot?

Back

A scatterplot is a graph that displays values for typically two variables for a set of data. Each point represents an observation in the dataset.

Tags

CCSS.8.SP.A.1

Front

What does correlation mean in the context of scatterplots?

Back

Correlation refers to the statistical relationship between two variables, indicating how one variable may change in relation to another.

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CCSS.HSS.ID.B.5

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What are the types of correlation that can be observed in scatterplots?

Back

Positive correlation, negative correlation, and no correlation.

Tags

CCSS.HSS.ID.B.5

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What is a positive correlation?

Back

A positive correlation occurs when an increase in one variable leads to an increase in another variable.

Tags

CCSS.HSS.ID.B.5

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What is a negative correlation?

Back

A negative correlation occurs when an increase in one variable leads to a decrease in another variable.

Tags

CCSS.HSS.ID.B.5

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What does 'no correlation' mean?

Back

No correlation means there is no discernible relationship between the two variables; changes in one do not affect the other.

Tags

CCSS.HSS.ID.B.5

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What is a line of best fit?

Back

A line of best fit is a straight line that best represents the data on a scatterplot, showing the trend of the data.

Tags

CCSS.8.EE.B.5

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How do you determine the line of best fit?

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The line of best fit is determined by minimizing the distance between the line and all the data points, often using the least squares method.

Front

What is the equation of a line in slope-intercept form?

Back

The equation of a line in slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

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

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You can use the line of best fit to predict the value of one variable based on the value of another by substituting the known value into the equation of the line.