What happens if the assumption of homoscedasticity is violated in simple linear regression?
- It has no effect on the regression model
- It makes the regression model more accurate
- It makes the regression model perfectly fit the data
- It makes the standard errors and confidence intervals invalid
Homoscedasticity is the assumption that the variance of the residuals is constant across all levels of the independent variable. If this assumption is violated (a condition known as heteroscedasticity), it can lead to unreliable and inefficient estimates of the standard errors. This, in turn, can make the confidence intervals and hypothesis tests invalid.
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