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For multiple regression, the definitions of R2 and adjusted R2 are: R? = 1- SS(Res) SS(Total) SS(Res)/(n-k) adjusted R2 = 1 - SS(Total)/(n-1) where k is the number of betas and n is the sample size. Assume that n > k. Part a) Which of the following is a correct version of adjusted Rand shows clearly that adjustedR? is < Rº. Choose the single best item (n-1)SS(Res) (n-k)SS(Total) OB. 1- (n-k)SS(Res) (n-1)SS(Total) Oc. 1 – SS(Res) (k-1)SS(Res) SS(Total) (n-k)SS(Total) (k-1)SS(Res) SS(Res) OD. 1 – CSS(Total) (n-1)SS(Total) OE. 1_(n-1) Z; y? SS(Res) SS(Total) (k-1)SS(Res) (n-1)SS(Total) O G. 1 — OH. None of the above

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From the information, observe that for a multiple regression, the definition of R. and adjusted R are as follows: R2-1 SS (ReAnd from this, adjusted R2 =1- SS (Res) (k-1) SS (Res) SS(Total) (n-k)SS(Total) (k-1) SS (Res) (n-k) SS (Total) Since be (k-1Hence, the correct option is (A). In this situation, observe that that adjusted R value is increases as a decreases, because

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