Correlation and Residuals

Front

What is the range of a function?

Back

The range of a function is the set of all possible output values (y-values) that the function can produce.

Front

What is the domain of a function?

Back

The domain of a function is the set of all possible input values (x-values) that the function can accept.

Front

What does a correlation coefficient of r = 1 indicate?

Back

A correlation coefficient of r = 1 indicates a perfect positive linear relationship between two variables.

Front

What does a correlation coefficient of r = -1 indicate?

Back

A correlation coefficient of r = -1 indicates a perfect negative linear relationship between two variables.

Front

What does a correlation coefficient of r = 0 indicate?

Back

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

Front

What is the range of possible values for the correlation coefficient r?

Back

The correlation coefficient r can take values in the range -1 ≤ r ≤ 1.

Front

How do you interpret a correlation coefficient of r = 0.8?

Back

A correlation coefficient of r = 0.8 indicates a strong positive linear relationship between the two variables.

Front

What is a residual in the context of regression analysis?

Back

A residual is the difference between the observed value and the predicted value from a regression model.

Front

How can you calculate a residual?

Back

Residual = Observed value - Predicted value.

Front

What does a positive residual indicate?

Back

A positive residual indicates that the observed value is greater than the predicted value.