Linear models

In statistics, we use linear models to model the relationship between a dependent variable and one or more predictor variables.

As an example, let's suppose we have n observations Yi and p predictors xj, where n > p. We can write each observation as follows:

For all cases of , we can assume the following:

  • are the unknown, fixed parameters that we want to figure out
  • are the values of the p predictors for the ith response
  • are ...

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