Linear Correlation and Correlation Coefficient

Front

What is linear correlation?

Back

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.

Front

What does a positive correlation indicate?

Back

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

Front

What does a negative correlation indicate?

Back

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

Front

What does no correlation mean?

Back

No correlation means that there is no predictable relationship between the two variables; changes in one variable do not affect the other.

Front

What is the correlation coefficient (r)?

Back

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.

Front

What does r = 1 signify?

Back

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

Front

What does r = -1 signify?

Back

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

Front

What does r = 0 signify?

Back

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

Front

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

Back

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

Front

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

Back

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