Which assumption is violated when there is heteroscedasticity in dataset? Describe any three methods of detection of heteroscedasticity. 

In econometrics, one of the core assumptions of the classical linear regression model (CLRM) is that the error terms, or disturbances, exhibit constant variance, also referred to as homoscedasticity. When this assumption is violated, meaning the variance of the error terms varies across observations, it results in a problem known as heteroscedasticity. Heteroscedasticity can lead to inefficient estimates and distortions in hypothesis testing, particularly the standard errors of the estimated coefficients, which affect the t-statistics and p-values.

### Assumption Violated with Heteroscedasticity

In the context of Ordinary Least Squares (OLS) regression, the assumption that is violated when heteroscedasticity is present is the homoscedasticity assumption. Specifically, this assumption states that for all values of the independent variables (X), the variance of the error term (ε) should be constant. Mathematically, this can be expressed as:

\[
\text{Var}(\epsilon_i | X_i) = \sigma^2
\]

Where:
____ ________ _________ _____ _________ ________ _____ _____ ____.
__________ ___ _____ _____ ___ ______ __________ _______ ________ ________ ________ ______.
_______ _____ ___ ____ _____ _________ ______.
_______ ___ ____ ______ ___ ___ ____ ___.
______ _______ ______ ___ __________ ____.
_________ __________ _______ _______ __________ ________ _____ ____.
_________ ________ ___ _______ ______ ______ ________ ______ ___.
_____ ______ _______ ____ _____ _________ _________.
___ ________ ________ ____ ________ ____ _______.
_________ ___ ______ ____ _____ _____.
_________ ________ ___ ___ _______ ___ ____ _____.
____ _________ _________ _______ _________ __________ __________ ____ ____ _______ ___ ________.
_____ ________ ______ __________ _________.
_________ ______ _______ _________ __________ _____ _______ ____.
__________ ____ ___ ___ _______ _________ _______ _______ _________ __________ _____ ____.
__________ __________ ___ ___ _______ __________ ________ ____.
___ _______ ________ ____ _________ __________ _________ ________ _________ _________ ________ _______.
__________ _______ ___ ____ _________ _________ _________ _______ __________ _______ ___ __________.
_________ _____ _____ _______ _____ __________ ______.
_____ ______ ___ _________ __________ _______ ____ _______.
___ ____ ______ ________ ____ ________ _________ ___.
________ _________ ________ __________ _______.
__________ _______ _____ _____ _______ _________ ________ _________ _____ _____.
____ ____ _______ ___ ________.
____ _________ _____ ________ ____ _________ ________ _________ ____ _____ _____ ________.
_______ ______ ____ ___ ______ __________ _____ ______.
________ ________ _______ _______ _____ ______ ________.
_________ _____ ________ ___ ________ ___ __________ _______.
________ ______ __________ _________ ________.
______ ______ ______ _____ ______ ______ _________ _________ ______ __________ __________ ______.
____ ___ ______ ___ ______.
___ __________ ______ ________ __________ ______ ____ _________ ________ ___ ____.
_____ ____ ______ _________ ______ _________ _______.
________ __________ ____ _______ ___ ______.
_____ ______ ______ _____ ___ _______ _____ _____.
_____ _______ ________ ___ ____ _____ ______ ___ _________ _________.
______ _____ _________ ______ ______ __________ ____ _________ ________ ________.
____ ______ _____ ___ ____ ________.
_________ ______ __________ _____ _______.
______ ____ ________ __________ _________ _______ _______ _______ ________.
_____ _________ _________ _______ ______ ___ _____ _____ _______ ___ _____ _______.
__________ _________ _________ ____ _____ ________ ______ _______ __________ __________ _________.
___ ______ ______ ___ _____ ________ ____ ___ _________ ________.
_________ _______ _________ __________ _____ ________ ____ _______ ________ ______.
_________ ______ _________ ________ _________ ____ ________ ________.
_____ ________ __________ ___ ____ ____ __________ ________ ________ ___.
_________ ____ ______ ____ ____ _____ _______ ______ ______ _________ __________.
____ __________ ____ _____ ________ _______ _____ ______.
____ ________ _______ ______ _____ __________ ___ _______ __________ ________ ______.
________ ____ ________ ______ ________ _____ __________ ______ _______ _____ ___ ______.
___ ____ _____ ___ ____ ______.
___ ____ ________ _____ __________ ________ ____ ________ __________ _____ _______.
_____ ______ ___ ___ _______ ____ ____ ____.
______ _____ ____ _______ ______ ____ ______ ________ ___.
__________ ______ ______ ____ ____ _________ __________.
________ ______ _________ __________ _____ ______ _______ ___ __________ ___.
________ ___ _______ _______ ______.
________ __________ ________ __________ __________ ___ _____ _____ ___ _________ _____ ________.
___ ________ _________ _______ ____ ________ ____ ___ ____ _________ _________ _______.
_____ ____ _____ _______ ____ __________.
___ ___ __________ ___ _______.
_______ _____ ________ ______ _______ __________ ______ _______ ____.
________ ____ ______ ________ ________ _________.
___ ___ ____ _________ ___ _______.
_____ _____ ________ ______ _____ _______ ____ ______ ________ _________ _______ ______.
__________ __________ _________ __________ __________.
_____ ________ ___ _____ _______ ______ ____.
_____ _________ __________ _____ ______ _________.
_______ ______ _____ _____ ________ ____ _________ ____ _______.
_______ ______ ______ ________ _______ ____ ___ __________ _____ _______ _________ ______.
_________ ________ __________ _________ __________ _______ __________.
______ _________ ___ ___ ____.
_______ ___ ___ _______ _______ ________ ______ _______ _______ _________.
___ __________ ____ ________ _______ __________ ___ ______ _________ _____.
____ _______ __________ __________ _______ ______ ___ _________.
______ ______ _____ ____ _________.
_____ ___ _____ _________ _____ ____ ___.
__________ ______ _______ ___ ____.
_____ ____ ____ ______ _________ _______ __________ _________ ______ __________ ______.
______ ____ __________ __________ ________ _________.
_________ ___ _________ _______ _______ _______ ________ ________ _______ _______.
________ ________ ____ ________ ________ _____ _____ _______ _____ ______ ___ ______.
___ _____ ________ _____ _____ _________ ________ ___.
____ ____ ______ _________ ______ ______ ____ _____ ________ ________ ______ ______.
_________ __________ ____ ______ __________.
Get Full Answer on WhatsApp