If there are three kinds of cat food an experimenter will be feeding to cats and measueing the amount, they are feed, to then predict the number to active minutes the cat has in a day. They want to include the kind of cat food as a dummy variable. (a) Propose a scheme with 2 dummy variable in addition to the constant that would work and show it works? (b) Do the following propsed dummy variable schemes work? (show your work)

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