Question

In regression analysis, the model in the form y = x ε is called the ________?

1) Simple linear regression model
2) Multiple linear regression model
3) Polynomial regression model
4) Nonlinear regression model

Answer 1

The correct form of a simple linear regression model is y = a + bx + ε, where ε represents the error term. The answer to the question is the simple linear regression model, which involves a linear relationship with one independent variable.

Step-by-step explanation:

In regression analysis, the model in the form y = x ε is somewhat misstated; a more accurate form for a simple linear model would be y = a + bx + ε, where ε represents the error term or residuals. Based on the options given and the correct form of the equation, the simple linear regression model is the correct answer. This model describes a relationship between a single independent variable (x) and a dependent variable (y).

A simple linear regression model equation typically has the form y = a + bx, where a is the y-intercept of the regression line on the y-axis and b is the slope of the regression line. This slope coefficient represents the rate of change of the dependent variable as the independent variable changes. The simple linear regression model is used when there is a linear relationship between the variables, and it is the most basic form of regression with one independent variable.