Correlation Coefficient, Linear Regression, Residuals

Front

What is a 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 = 1 indicate?

Back

A perfect positive linear relationship between two variables.

Front

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

Back

A perfect negative linear relationship between two variables.

Front

What does a correlation coefficient of r = 0 indicate?

Back

No linear relationship between the two variables.

Front

What is linear regression?

Back

A statistical method used to model the relationship between a dependent variable and one or more independent variables by fitting a linear equation.

Front

What is a residual in linear regression?

Back

The difference between the observed value and the predicted value from a regression model.

Front

How do you calculate a residual?

Back

Residual = Observed value - Predicted value.

Front

What is the equation of a line in slope-intercept form?

Back

y = mx + b, where m is the slope and b is the y-intercept.

Front

What does the slope in a linear regression equation represent?

Back

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

Front

What is the y-intercept in a linear regression equation?

Back

The value of the dependent variable when the independent variable is zero.