Residuals and Correlation Coefficient

Front

What is the correlation coefficient?

Back

A statistical measure that describes the strength and direction of a relationship between two variables, ranging from -1 to 1.

Front

What does a correlation coefficient of r = -0.89 indicate?

Back

It indicates a strong negative correlation between the two variables.

Front

What is a residual in statistics?

Back

The difference between the observed value and the predicted value in a regression analysis.

Front

What does a residual plot show?

Back

A graphical representation of the residuals on the vertical axis and the independent variable on the horizontal axis, used to assess the fit of a regression model.

Front

What should a good residual plot look like?

Back

A good residual plot should show no distinct pattern, indicating that the model is appropriate for the data.

Front

What is the slope in a linear regression equation?

Back

The slope represents the rate of change of the dependent variable for each unit change in the independent variable.

Front

What does a correlation coefficient of r = 0.89 indicate?

Back

It indicates a strong positive correlation between the two variables.

Front

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

Back

The correlation coefficient can range from -1 to 1.

Front

What does a correlation coefficient of r = 1 mean?

Back

It means there is a perfect positive linear relationship between the two variables.

Front

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

Back

It means there is a perfect negative linear relationship between the two variables.