4.7: Residuals & Correlation

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

How do 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.

Front

What does a negative residual indicate?

Back

A negative residual indicates that the observed value is less than the predicted value.

Front

What is a residual plot?

Back

A residual plot is a graph that shows the residuals on the vertical axis and the independent variable on the horizontal axis.

Front

What does it mean if a residual plot shows no pattern?

Back

If a residual plot shows no pattern, it suggests that the linear regression model is appropriate for the data.

Front

What is the correlation coefficient?

Back

The correlation coefficient is a statistical measure that describes the strength and direction of a relationship between two variables.

Front

What is the range of the correlation coefficient?

Back

The correlation coefficient ranges from -1 to 1.

Front

What does a correlation coefficient of -1 indicate?

Back

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

Front

What does a correlation coefficient of 1 indicate?

Back

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