Question

Which of the following is least likely an assumption of linear regression?

a. The residuals are normally distributed.
b. There is a linear relation between the dependent and independent variables
c. The independent variable is correlated with the residuals.
d. The variance of the residuals is constant.

Answer 1

The least likely assumption of linear regression is that the independent variable is correlated with the residuals.

Step-by-step explanation:

The least likely assumption of linear regression is c. The independent variable is correlated with the residuals. The assumptions of linear regression include:

1. The residuals are normally distributed.
2. There is a linear relationship between the dependent and independent variables.
3. The variance of the residuals is constant.

Assumption c suggests that there is a correlation between the independent variable and the residuals, which would violate the assumption of independence. Therefore, it is the least likely assumption of linear regression.