fitted.model <- lm(formula, data=data.frame)
For example
fm2 <- lm(y x1 + x2, data=production)
would fit a multiple regression model of y on x1 and x2 (with implicit intercept term).
The important but technically optional parameter data=production specifies that any variables needed to construct the model should come first from the production data frame. This is the case regardless of whether data frame production has been attached to the search list or not.