Correlation

Front

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.

Tags

CCSS.HSS.ID.C.9

Front

What is a positive correlation?

Back

A positive correlation occurs when two variables move in the same direction. For example, as the length of a running start increases, the distance of a jump also increases.

Tags

CCSS.HSS.ID.B.5

Front

What is a negative correlation?

Back

A negative correlation occurs when two variables move in opposite directions. For example, as the outside temperature increases, the number of layers of clothing worn typically decreases.

Tags

CCSS.HSS.ID.B.5

Front

What does a correlation coefficient indicate?

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 close to 1 indicates a strong positive correlation, while a value close to -1 indicates a strong negative correlation.

Tags

CCSS.HSS.ID.C.8

Front

What is causation?

Back

Causation indicates that one event is the result of the occurrence of another event. It implies a direct cause-and-effect relationship, unlike correlation, which only indicates a relationship between two variables.

Tags

CCSS.RI.4.3

CCSS.RI.5.3

CCSS.RI.6.3

CCSS.RI.7.3

CCSS.RI.8.3

Front

What is a scatter plot?

Back

A scatter plot is a graphical representation of two variables, showing how much one variable is affected by another. Each point on the plot represents an observation.

Tags

CCSS.8.SP.A.1

Front

What does it mean if a scatter plot shows no correlation?

Back

If a scatter plot shows no correlation, it means there is no discernible relationship between the two variables. The points are scattered randomly without any clear pattern.

Tags

CCSS.HSS.ID.B.5

Front

What is the line of best fit?

Back

The line of best fit is a straight line that best represents the data on a scatter plot. It is used to predict values and shows the overall trend of the data.

Tags

CCSS.8.SP.A.2

Front

What is the difference between correlation and causation?

Back

Correlation indicates a relationship between two variables, while causation indicates that one variable directly affects the other. Correlation does not imply causation.

Tags

CCSS.HSS.ID.C.9

Front

What is an example of a positive correlation in real life?

Back

An example of a positive correlation is the relationship between study time and test scores; generally, as study time increases, test scores also tend to increase.

Tags

CCSS.HSS.ID.B.5