Multiple Linear Regression Deriving the Confidence Interval for Mean Response, E(y)

[@serviwebm4644]

Thank you for this. Was looking for the mean response variance proof everywhere!

[@Stats4Everyone]

Yay! Thank you for this comment. I happy to hear that you found this video helpful :-)

[@aysan7513]

thanks alot for this content

[@abu-bakrmohamed1707]

Amazing content !

[@willcluett2493]

Thank you for this video. What is the difference between a confidence interval and a prediction interval?

[@Stats4Everyone]

This is a great question! Thank you for his post! I will make a video on this soon, and will return to provide the link. For now, the short answer is that a confidence interval is for a population mean (the average of all values in a population), and a prediction interval is for a single value in the population. Also, this video for deriving a prediction interval may be helpful: kzbin.info/www/bejne/bIW8qpVpf9enjdk

[@Stats4Everyone]

Here is an additional video I made to help discuss this question more: kzbin.info/www/bejne/fICrhYyMgNCXf5Y. Please let me know if you have any follow-up questions :-) Thanks again for the post!