Why or how can we say errors(residuals) are independent and they follow the normal probabilties in regression analysis?

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While I am studying linear regression analysis and I have encountered a sentence salying "errors are independent and follow normal probabilities". I can only guess what it says but I can't trust my guess about it.

Can you guys please let me know what it means?

Thank you in advance.

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It means that the errors (presumably in different measurements) are independent random variables with jointly normal distribution.