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 the range of correlation coefficients?

Back

The correlation coefficient (r) ranges from -1 to 1. An r of 1 indicates a perfect positive correlation, -1 indicates a perfect negative correlation, and 0 indicates no correlation.

Tags

CCSS.HSS.ID.B.5

Front

What does a correlation coefficient of 0 indicate?

Back

A correlation coefficient of 0 indicates that there is no linear relationship between the two variables.

Tags

CCSS.HSS.ID.B.5

Front

What does a positive correlation indicate?

Back

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

Tags

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 is a scatterplot?

Back

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

Tags

CCSS.8.SP.A.1

Front

What is a line of best fit?

Back

A line of best fit is a straight line that best represents the data on a scatterplot. It minimizes the distance between the line and all the data points.

Tags

CCSS.8.EE.B.5

Front

What is the purpose of estimating a correlation coefficient from a scatterplot?

Back

Estimating a correlation coefficient from a scatterplot helps to quantify the strength and direction of the relationship between two variables.

Tags

CCSS.HSS.ID.C.8

Front

What does it mean if the correlation coefficient is close to 1 or -1?

Back

If the correlation coefficient is close to 1, it indicates a strong positive correlation. If it is close to -1, it indicates a strong negative correlation.

Tags

CCSS.HSS.ID.B.5

Front

What is the difference between correlation and causation?

Back

Correlation indicates a relationship between two variables, but it does not imply that one variable causes the other to change.

Tags

CCSS.HSS.ID.C.9