Regression Equations

Front

What is a regression equation?

Back

A regression equation is a mathematical formula that describes the relationship between a dependent variable and one or more independent variables.

Front

What does the y-intercept represent in a regression equation?

Back

The y-intercept is the value of the dependent variable when all independent variables are equal to zero.

Front

What is the purpose of the correlation coefficient (r)?

Back

The correlation coefficient measures the strength and direction of a 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 does a positive correlation coefficient indicate?

Back

A positive correlation coefficient indicates that as one variable increases, the other variable also tends to increase.

Front

What does a negative correlation coefficient indicate?

Back

A negative correlation coefficient indicates that as one variable increases, the other variable tends to decrease.

Front

What is the difference between linear and non-linear regression?

Back

Linear regression models a straight-line relationship, while non-linear regression models relationships that are curved or not straight.

Front

What is the formula for a simple linear regression equation?

Back

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

Front

What does the slope (m) in a regression equation represent?

Back

The slope represents the change in the dependent variable for a one-unit change in the independent variable.

Front

What is the purpose of residuals in regression analysis?

Back

Residuals are the differences between observed and predicted values, used to assess the accuracy of the regression model.