If the plot of the residuals is fan shaped,which assumption of regression analysis (if any)is violated?
A)No assumptions are violated.
B)Independence of errors
C)Homoscedasticity
D)Normality

Question

Quizplus · Accepted Answer

A fan-shaped plot of residuals indicates the violation of homoscedasticity assumption. Homoscedasticity assumes that the variance of the residuals is constant across all levels of the predictor variable(s). In the presence of heteroscedasticity, the variance of errors increases or decreases with predictors, leading to the fan-shaped plot of residuals. This can affect the validity of statistical inference and prediction.

If the Plot of the Residuals Is Fan Shaped,which Assumption