dynare/matlab/cosn.m

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function co = cosn(H);
% function co = cosn(H);
% computes the cosine of the angle between the H(:,1) and its
% projection onto the span of H(:,2:end)
% Not the same as multiple correlation coefficient since the means are not
% zero
y = H(:,1);
X = H(:,2:end);
% y = H(:,1);
% X = H(:,2:end);
yhat = X*(X\y);
co = y'*yhat/sqrt((y'*y)*(yhat'*yhat));