12. Correlation and Coefficient

Front

What is correlation?

Back

Correlation is a statistical measure that describes the extent to which two variables change together. It indicates the strength and direction of a relationship between the variables.

Front

What does a positive correlation indicate?

Back

A positive correlation indicates that as one variable increases, the other variable also increases. The correlation coefficient (r) is greater than 0.

Front

What does a negative correlation indicate?

Back

A negative correlation indicates that as one variable increases, the other variable decreases. The correlation coefficient (r) is less than 0.

Front

What does no correlation mean?

Back

No correlation means that there is no predictable relationship between the two variables. The correlation coefficient (r) is 0.

Front

What is the range of the correlation coefficient (r)?

Back

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

Front

If r = 0, what does it imply about the correlation?

Back

If r = 0, it implies that there is no correlation between the two variables.

Front

What is a scatter plot?

Back

A scatter plot is a graph that shows the relationship between two quantitative variables. Each point on the plot represents an observation.

Front

How can you identify a positive correlation in a scatter plot?

Back

In a scatter plot, a positive correlation is identified when the points tend to rise from left to right, indicating that as one variable increases, the other also increases.

Front

How can you identify a negative correlation in a scatter plot?

Back

In a scatter plot, a negative correlation is identified when the points tend to fall from left to right, indicating that as one variable increases, the other decreases.

Front

What does an r value of -0.981 indicate?

Back

An r value of -0.981 indicates a strong negative correlation between the two variables.