Scatter Plots and Correlation

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What is a scatter plot?

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A scatter plot is a graphical representation of two variables, showing the relationship between them using dots for each data point.

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CCSS.8.SP.A.1

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What does correlation mean in statistics?

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Correlation refers to a statistical measure that describes the extent to which two variables change together.

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CCSS.HSS.ID.C.9

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What is a positive correlation?

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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?

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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 does it mean if there is no correlation between two variables?

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No correlation means that there is no predictable relationship between the two variables.

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CCSS.HSS.ID.B.5

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What is the correlation coefficient (r)?

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The correlation coefficient (r) is a numerical value between -1 and 1 that indicates the strength and direction of a linear relationship between two variables.

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CCSS.HSS.ID.C.8

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What does an r value of 0.3 indicate?

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An r value of 0.3 indicates a weak positive correlation between the two variables.

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CCSS.HSS.ID.B.5

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How can you determine the type of correlation from a scatter plot?

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You can determine the type of correlation by observing the direction of the points: upward slope indicates positive correlation, downward slope indicates negative correlation, and no discernible pattern indicates no correlation.

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CCSS.HSS.ID.B.5

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What is an example of a positive association?

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An example of a positive association is the relationship between the age of a kitten and its weight; as the kitten gets older, it generally weighs more.

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CCSS.HSF-LE.A.1B

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What is an example of a negative correlation?

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An example of a negative correlation is the relationship between outside temperature and the amount of layers you wear; as temperature increases, the number of layers typically decreases.

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CCSS.HSS.ID.B.5