Correlation #1

Front

What is correlation in statistics?

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 tends to increase, while a negative correlation means that as one variable increases, the other tends to decrease.

Front

What does the correlation coefficient (r) represent?

Back

The correlation coefficient (r) quantifies the strength and direction of a linear relationship between two variables, ranging from -1 to 1. A value of 1 indicates a perfect positive correlation, -1 indicates a perfect negative correlation, and 0 indicates no correlation.

Front

What does an r value of 0 indicate?

Back

An r value of 0 indicates no correlation between the two variables, meaning that changes in one variable do not predict changes in the other.

Front

What does an r value of 0.9 indicate?

Back

An r value of 0.9 indicates a strong positive correlation, meaning that as one variable increases, the other variable also tends to increase significantly.

Front

What does an r value of -0.9 indicate?

Back

An r value of -0.9 indicates a strong negative correlation, meaning that as one variable increases, the other variable tends to decrease significantly.

Front

What is a scatter plot?

Back

A scatter plot is a graphical representation of two variables, where each point represents an observation. It helps visualize the relationship between the variables.

Front

What does a weak positive correlation look like on a scatter plot?

Back

A weak positive correlation on a scatter plot appears as points that are loosely clustered in an upward trend, indicating that as one variable increases, the other variable tends to increase, but not strongly.

Front

What does a strong negative correlation look like on a scatter plot?

Back

A strong negative correlation on a scatter plot appears as points that are closely clustered in a downward trend, indicating that as one variable increases, the other variable tends to decrease significantly.

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. Causation means that changes in one variable directly result in changes in another.

Front

What is the interpretation of r = 0.54?

Back

An r value of 0.54 indicates a moderate positive correlation, suggesting that there is a tendency for one variable to increase as the other variable increases.