You are an expert in writing code in many different languages. Your goal is to perform code completion for the following code, keeping in mind the rest of the code and the file meta data.
    Metadata details:
    filename: lmtest2.m
    path of file: ./repos/malini/Codes/FC_EC_calculation code/DynamicFC/jplv7/Ucsd_garch/Tests
    
    the code of the file until where you have to start completion: function results = lmtest2(stdresid,q)
% PURPOSE:
%  Performs an Engle LM test of the squarred residuals regressed on q lags
%  and a constant.  Under the null of no serial correlation, this is asymptotically 
%  distributed X2(q)
% 
% USAGE:
%  results = lmtest2(stdresid,q)
% 
% 
% INPUTS:
%  stdresid - A set of deviates from a garch process OR a ser of deviates suspected of having GARCH
%  q-         The maximum number of lags to regress on.  The statistic and pval will be returned for all sets of 
%             lagged squarrd residuals up to and including q
% 
% OUTPUTS:
%  results, a structure with fields:
%  statistic - A Qx1 vector of statistics
%  pval      - A Qx1 set of appropriate pvals
% 
% COMMENTS:
% 

    
function results = lmtest2(stdresid,q)
% PURPOSE:
%  Performs an Engle LM test of the squarred residuals regressed on q lags
%  and a constant.  Under the null of no serial correlation, this is asymptotically 
%  distributed X2(q)
% 
% USAGE:
%  results = lmtest2(stdresid,q)
% 
% 
% INPUTS:
%  stdresid - A set of deviates from a garch process OR a ser of deviates suspected of having GARCH
%  q-         The maximum number of lags to regress on.  The statistic and pval will be returned for all sets of 
%             lagged squarrd residuals up to and including q
% 
% OUTPUTS:
%  results, a structure with fields:
%  statistic - A Qx1 vector of statistics
%  pval      - A Qx1 set of appropriate pvals
% 
% COMMENTS:
% 
% 
% Author: Kevin Sheppard
% kevin.sheppard@economics.ox.ac.uk
% Revision: 2    Date: 12/31/2001

statistic=zeros(q,1);
pval=zeros(q,1);

sqresid=stdresid.^2;

for i=1:q
   [y,x]=newlagmatrix(sqresid,i,1);
   beta = x\y;
   rsquared=1-((y-x*beta)'*(y-x*beta)/((y-mean(y))'*(y-mean(y))));
   statistic(i)=length(y)*rsquared;
end