Correlation Coefficients

Front

What is a correlation coefficient?

Back

A statistic that measures the strength and direction of a linear association between two quantitative variables.

Front

What does a correlation coefficient of 1 indicate?

Back

A perfect positive linear relationship between two variables.

Front

What does a correlation coefficient of -1 indicate?

Back

A perfect negative linear relationship between two variables.

Front

What does a correlation coefficient of 0 indicate?

Back

No linear relationship between the two variables.

Front

What is the range of correlation coefficients?

Back

The range is from -1 to 1.

Front

What does a positive correlation coefficient indicate?

Back

As one variable increases, the other variable also tends to increase.

Front

What does a negative correlation coefficient indicate?

Back

As one variable increases, the other variable tends to decrease.

Front

What is a weak correlation?

Back

A correlation coefficient close to 0, indicating a weak linear relationship.

Front

What is a strong correlation?

Back

A correlation coefficient close to 1 or -1, indicating a strong linear relationship.

Front

How can scatter plots help in understanding correlation?

Back

Scatter plots visually represent the relationship between two variables, showing the direction and strength of the correlation.