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$ \Bbb E$(grades) = $\bigg(\alpha$, teacher='Female',

and,

$\bigg( \alpha+\beta $, teacher='Male'

given that I have loaded up the required data, how should I go about fitting this model in R? Then I need to find the least squared estimates of both $\alpha$ and $\beta$ which I think I will be able to do once I can fit the model. Thanks!

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For discrete variables like Male vs. Female, the best you can do is average the population. So $\alpha=$ average grade from a Female teacher, $\beta=$average grade from a Male teacher minus $\alpha$

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  • $\begingroup$ so now I understand how the variables can make sense, but I don't know how I would use R to average grades from male and female separately. $\endgroup$
    – cheeseman123
    Commented Mar 19, 2013 at 2:07
  • $\begingroup$ @cheeseman123: I don't know R at all, so can't help there. $\endgroup$
    – Ross Millikan
    Commented Mar 19, 2013 at 2:09

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