Ridge regression in matlab -

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i have doubt ridge regression in matlab. have mentioned @ http://www.mathworks.com/help/stats/ridge.html, ridge regression mean centers , make std equal 1 predictors. however, see doesn't. e.g.

let x be

 1     1     2  1     3     5  1     9    12  1    12    50

let y be

1 2 3 4

it doesn't normalization of xs 0 mean , unit variance. clarifications what's going on? mean ridge should normalization of data i.e x 0 mean , unit variance , calculate coefficients. expecting ridge(y,x,0,0) give me result of r=inv(x'*x)*x'y r takes x , y normalized

the output must same, ridge regression makes calculation more stable numerically (less sensitive multicollinearity).

== update ==

now understand better ask :) documentation says:

b = ridge(y,x,k,scaled) uses {0,1}-valued flag scaled determine if coefficient estimates in b restored scale of original data. ridge(y,x,k,0) performs additional transformation.

you've set both third , fourth parameters 0, means ridge parameter zero, , result won't scaled, should same inv(x'*x)*x'y (this ridge regression formula becomes if ridge parameter k set 0).


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