b. (9 pts) A stepwise selection search among these variables generated Fig 4. while a brute-force search generated Figs 5-9. . (2 points) How many first order non-interaction regressions did the stepwise algorithm actually do for this dataset? . (3 points) If financial constraints force us to choose only two cause variables, which com- bination would you choose? Use both stepwise and brute force to answer this and check whether we have agreement between the two methods. . (4 points) Next, imagine we have no restrictions on the size of the model. Use one of the two methods to propose good cause-combinations under each of the following scenarios: - If I were to explain the maximum proportion of variation in the response after penal- izing for model complexity. - If I were to estimate the chances of a friend (that is going to be admitted) getting infected