Suppose you initialize backward stepwise regression from the saturated model. Use Plant rather than Manager in this model. Must the backward search eventually reach the model chosen by the forward...

Suppose you initialize backward stepwise regression from the saturated model. Use Plant rather than Manager in this model. Must the backward search eventually reach the model chosen by the forward search? Try it and see.

Apply forward stepwise regression to build a more parsimonious model from this collection of potential explanatory variables. Be sure to avoid over-fitting. Interpret, if you can, the model obtained by stepwise. Is collinearity a problem?