Correlation Coefficient

Front

What is the correlation coefficient?

Back

The correlation coefficient is a statistical measure that describes the strength and direction of a relationship between two variables, denoted as 'r', where -1 ≤ r ≤ 1.

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CCSS.HSS.ID.C.8

Front

What does a positive correlation indicate?

Back

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

Front

What does a negative correlation indicate?

Back

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

Tags

CCSS.HSS.ID.B.5

Front

What does a correlation coefficient of 0 indicate?

Back

A correlation coefficient of 0 indicates no correlation between the two variables.

Tags

CCSS.HSS.ID.B.5

Front

What is an example of a positive correlation?

Back

An example of a positive correlation is the relationship between the number of hours studied and exam scores.

Tags

CCSS.HSS.ID.B.5

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What is an example of a negative correlation?

Back

An example of a negative correlation is the relationship between the amount of time spent watching TV and academic performance.

Tags

CCSS.HSS.ID.B.5

Front

What does a correlation coefficient of -1 signify?

Back

A correlation coefficient of -1 signifies a perfect negative correlation, meaning that as one variable increases, the other decreases in a perfectly linear manner.

Tags

CCSS.HSS.ID.B.5

Front

What does a correlation coefficient of 1 signify?

Back

A correlation coefficient of 1 signifies a perfect positive correlation, meaning that as one variable increases, the other also increases in a perfectly linear manner.

Tags

CCSS.HSS.ID.B.5

Front

What is the purpose of a scatter plot in correlation analysis?

Back

A scatter plot visually represents the relationship between two variables, allowing for the identification of correlation patterns.

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CCSS.8.SP.A.1

Front

What is the line of best fit in a scatter plot?

Back

The line of best fit is a straight line that best represents the data points in a scatter plot, indicating the general direction of the relationship between the variables.

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CCSS.8.EE.B.5