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function pred = regress_pred(price, quantity)
days = size(price, 1) - size(quantity, 1);
product_count = size(price, 2);
test_count = size(quantity, 1);
test_set = 1:test_count;
pred_set = test_count+1:size(price, 1);
pred = zeros(days, product_count);
for i = 1:product_count
[m,n] = regress(price(test_set, i), quantity(test_set, i));
pred(:, i) = m .* price(pred_set, i) + n;
end
endfunction
function [m, n] = regress(x, y)
mn = [ x ones(length(x), 1) ] \ y;
m = mn(1);
n = mn(2);
endfunction
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