2) Please answer questions A and B based on the following Best Subsets Regressio

Question

2) Please answer questions A and B based on the following Best Subsets Regression.

Best Subsets Regression: Sales versus Price, Promotional exp, Quality

Response is Sales

P

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o

m

o

t

i

o

n Q

a u

P l a

r l

i e i

Mallows c x t

Vars R-Sq R-Sq(adj)       Cp S e p y

   1 81.3       79.8 6.1 7.8239 X

   1 58.0       54.5 26.2 11.734 X

   1   9.5        2.0 68.1 17.221 X

   2 85.7       83.0 4.4 7.1630 X X

   2 82.9       79.8 6.8 7.8193 X X

   2 69.2       63.6 18.6 10.499 X X

   3 88.4       84.9 4.0 6.7523 X X X

A) Excluding the combination that includes all the variables, which variables would you consider to include into the model based on Mallows Cp criterion? (10 points)

B) If you want to consider a regression model with just one independent variable, which one would you include according to R-Sq(adj) criterion? (10 points)

Explanation / Answer

a) The model with smallest Mallows Cp-- Price , Prom Exp and quality

b)

  The model with largest R-Sq (adj) -- Price

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