*Residuals and Correlation Coefficient/Causation (U4L7-8)

Front

What is a residual in statistics?

Back

A residual is the difference between the observed value and the predicted value in a regression analysis.

Front

What does the correlation coefficient (r) indicate?

Back

The correlation coefficient (r) indicates the strength and direction of a linear relationship between two variables.

Front

What is the range of values for the correlation coefficient?

Back

The correlation coefficient ranges from -1 to 1.

Front

What does a correlation coefficient of 0 mean?

Back

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

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 is the difference between correlation and causation?

Back

Correlation indicates a relationship between two variables, while causation indicates that one variable directly affects the other.

Front

Can correlation imply causation?

Back

No, correlation does not imply causation; other factors may influence the relationship.

Front

What is an example of a positive correlation?

Back

An example of a positive correlation is the relationship between study time and test scores.

Front

What is an example of a negative correlation?

Back

An example of a negative correlation is the relationship between the amount of exercise and body weight.