Linear Correlation and Correlation Coefficient

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What is linear correlation?

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Linear correlation refers to a statistical relationship between two variables where a change in one variable is associated with a change in another variable in a linear manner.

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CCSS.HSS.ID.C.9

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What does a positive correlation indicate?

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A positive correlation indicates that as one variable increases, the other variable also tends to increase.

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CCSS.HSS.ID.B.5

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What does a negative correlation indicate?

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A negative correlation indicates that as one variable increases, the other variable tends to decrease.

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CCSS.HSS.ID.B.5

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What does no correlation mean?

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No correlation 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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What is the correlation coefficient (r)?

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The correlation coefficient (r) is a numerical measure of the strength and direction of a linear relationship between two variables, ranging from -1 to 1.

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CCSS.HSS.ID.C.8

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What does r = 1 signify?

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r = 1 signifies a perfect positive linear correlation between two variables.

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CCSS.HSS.ID.B.5

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What does r = -1 signify?

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r = -1 signifies a perfect negative linear correlation between two variables.

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CCSS.HSS.ID.B.5

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What does r = 0 signify?

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r = 0 signifies no linear correlation between the two variables.

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CCSS.HSS.ID.B.5

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How can you visually identify a positive correlation on a graph?

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A positive correlation can be visually identified on a graph by an upward slope from left to right.

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CCSS.HSS.ID.B.5

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How can you visually identify a negative correlation on a graph?

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A negative correlation can be visually identified on a graph by a downward slope from left to right.

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CCSS.8.EE.B.5