Consider the following assumptions of regression analysis.

A. The values of dependent variable are normally distributed.

B. The values of residuals have skewed distribution.

C. The variance of dependent variable is constant for all values of the independent variable.

D. The values of the residuals are independent to each other.

Choose the correct answer from the options given below:

Question

Question

This question was previously asked in

UGC NET (Geography) Official Paper-II (Held On: 03 Mar, 2023 Shift 1)

Answer 1

The correct answer is: A, C, and D Only
Key Points
Here is an explanation of each assumption:

A. The values of the dependent variable are normally distributed:

This statement is not entirely accurate.
The assumption in regression analysis is that the residuals (errors) are normally distributed, not the dependent variable itself.

B. The values of residuals have a skewed distribution:

This statement is incorrect.
In regression analysis, the assumption is that the residuals have a normal distribution, which implies that they are symmetric and not skewed.

C. The variance of the dependent variable is constant for all values of the independent variable:

This statement is accurate.
This assumption is known as homoscedasticity, which means that the variance of the residuals is constant across all levels of the independent variable.

D. The values of the residuals are independent of each other:

This statement is accurate.
This assumption is known as the independence of errors, which means that the residuals are not correlated with each other. In other words, the error for one observation should not depend on the error of another observation.

Based on these explanations, the correct answer is A, C, and D Only