The mathematical equation relating the independent variable to the expected value of the dependent variable; that is, Ey) = β₀ + β₁x, is known as
A) regression equation
B) correlation equation
C) estimated regression equation
D) regression model

Question

Quizplus · Accepted Answer

The equation Ey) = β₀ + β₁x is known as the regression equation, which relates the independent variable (x) to the expected value of the dependent variable (y). Option B (correlation equation) is not correct as it refers to a different equation that measures the strength and direction of the linear relationship between two variables. Option C (estimated regression equation) is a term used to refer to the equation that is derived when estimating the parameters β₀ and β₁ using a sample from the population. Option D (regression model) is a more general term that refers to the entire framework of regression analysis that involves specifying and estimating a regression equation, assessing the goodness of fit, and making inferences and predictions.

The Mathematical Equation Relating the Independent Variable to the Expected