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Consider a hypothetical dataset where we want to explore the association between sex {which is categorized by male. female}. race {which is categorized by Asian. Black. Latino. White). and salary {in USD. continuous). Suppose we run a multiple linear regression. where the outcome Y is salary. Xme is race. Xsex is the indication of sex. which has the value 1 if the individual is male. otherwise I]. In the data to be analyzed. we have 3 columns. the column names are salary. race. sex. the data are loaded as name data.
1. Write down the multiple linear regression that includes two coyariates only
2. How many coef?cients can you obtain from the model? How many for each coyariate
3. Assume in the model. the coef?cient of Xsex is -1??. how will you explain this number to a non-statistician? What if it is l??? Write down the two explanations.
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LINEAR PROGRAMMING MODELS
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