Linear Regression

What does the slope coefficient(β1​) represent in a simple linear regression model?

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

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

• The error term capturing the variability in the dependent variable.
  

• The constant variance assumed in the error term.

  
  

In a simple linear regression model, what does the intercept coefficient (β0​) represent?

• The change in the dependent variable for a one-unit change in the independent variable

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

• The variability in the dependent variable that is not explained by the linear relationship

• The constant variance assumed in the error term.

What does the error term (ϵ) represent in a linear regression model?

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

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

• The discrepancy between the observed values of the dependent variable and the values predicted by the regression model.

• The variability in the dependent variable that is explained by the linear relationship.

What method is commonly used to estimate the coefficients in a linear regression model?

• Maximum likelihood estimation

• Bayesian estimation

• Method of least squares

• Gradient descent optimization

In a multiple linear regression model, what does each coefficient represent?

• The change in the dependent variable for a one-unit change in the corresponding independent variable, holding other variables constant.

• The value of the dependent variable when all independent variables are zero.

• The variability in the dependent variable that is not explained by the linear relationship.

• The constant variance assumed in the error term.