Class 9 part 1 Residual Standard Errors

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All the slides and R scripts are available on my GitHub repository for the course:

This is our class 9 which we finish our discussion in simple regression model. This class comes in 2 parts. Part 1 is available on YouTube and Part 2 (application in R) will be recorded in class and published afterward.
  1. Pedram Jahangiry
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Комментарии
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The "behind the scenes" proofs you show really help solidify things for me. I am glad they won't be on the exam but seeing how each thing affects the variance helps me understand what is going on a lot better.

danielneilson
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This is pretty simple, but I want to make sure I have things right. The more variance the "X" has or the observations have, the better. The lower the variance of beta hat, the better?

matthewwheldon
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In my mind, I don't understand why the variance of the residuals are a good estimate for our error terms. Is it just because on average they are similar over many observations or is there another reason?

supahdondo