A random sample of data was collected on residential sales in a large city. The accompanying table shows the selling price (Y, in $1000s), area (X1, in hundreds of square feet), number of bedrooms (X2), total number of rooms (X3), house age (X4, in years), and location (Z=0 for in-town and inner suburbs, Z = 1 for outer suburbs).

a)Using the formula above, perform a Forward selection procedure, using =0.05.

b) Using the formula above, perform a Backward selection procedure, using =0.05.

c)Using the output in the text, perform an all possible regressions procedure to suggest a best model.

d)Using the output in the text, summarize the stepwise regression to suggest a best model.

e)Which of the models in parts a-d seems to be the best model and why?