Correlation and Correlation Coefficient

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What is correlation?

Back

Correlation is a statistical measure that describes the extent to which two variables change together. A positive correlation means that as one variable increases, the other also increases, while a negative correlation means that as one variable increases, the other decreases.

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CCSS.HSS.ID.C.9

Front

What is a correlation coefficient?

Back

The correlation coefficient is a numerical value that ranges from -1 to 1, indicating the strength and direction of a linear relationship between two variables. A value of 1 indicates a perfect positive correlation, -1 indicates a perfect negative correlation, and 0 indicates no correlation.

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CCSS.HSS.ID.C.8

Front

What does a correlation coefficient of 0.89 indicate?

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A correlation coefficient of 0.89 indicates a strong positive correlation between the two variables, meaning that as one variable increases, the other variable tends to also increase.

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CCSS.HSS.ID.B.5

Front

What does a correlation coefficient of -0.9 indicate?

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A correlation coefficient of -0.9 indicates a strong negative correlation between the two variables, meaning that as one variable increases, the other variable tends to decrease.

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CCSS.HSS.ID.B.5

Front

What does it mean if there is no correlation?

Back

If there is no correlation, it means that there is no predictable relationship between the two variables; changes in one variable do not affect the other.

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CCSS.HSS.ID.B.5

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Can correlation imply causation?

Back

No, correlation does not imply causation. Just because two variables are correlated does not mean that one causes the other to change.

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CCSS.HSS.ID.C.9

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What is a scatterplot?

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A scatterplot is a graphical representation of two variables, where each point represents an observation. It helps visualize the relationship between the variables.

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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 scatterplot. It shows the general direction of the relationship between the variables.

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CCSS.8.EE.B.5

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What does a strong positive correlation look like on a scatterplot?

Back

A strong positive correlation on a scatterplot appears as points that are closely clustered around a line that slopes upwards from left to right.

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CCSS.HSS.ID.B.5

Front

What does a strong negative correlation look like on a scatterplot?

Back

A strong negative correlation on a scatterplot appears as points that are closely clustered around a line that slopes downwards from left to right.

Tags

CCSS.HSS.ID.B.5