Scatterplots, correlation and line of best fit

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What is a scatterplot?

Back

A scatterplot is a graphical representation of two variables, showing the relationship between them using points on a Cartesian plane.

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CCSS.8.SP.A.1

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What does correlation mean in statistics?

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.C.9

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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.

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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.

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CCSS.HSS.ID.B.5

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What is the line of best fit?

Back

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

Tags

CCSS.8.EE.B.5

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How do you find the slope of a line?

Back

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CCSS.8.EE.B.5

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What does a slope of 0 indicate?

Back

A slope of 0 indicates that there is no change in the y-value as the x-value changes, meaning the line is horizontal.

Tags

CCSS.8.EE.B.5

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What does a slope of 1 indicate?

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A slope of 1 indicates that for every unit increase in x, there is a corresponding unit increase in y, resulting in a 45-degree angle line.

Tags

CCSS.8.EE.B.5

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How can you use a trend line to make predictions?

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A trend line can be used to predict values by extending the line and finding the corresponding y-value for a given x-value.

Tags

CCSS.8.EE.B.5

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What is the purpose of using scatterplots in data analysis?

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Scatterplots are used to visually assess the relationship between two quantitative variables and to identify trends or patterns.

Tags

CCSS.8.SP.A.1