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Function input for regression analysis

I know the lm() function, but I'd like to make my 'own' regression analysis
by using matrix algebra. 
Thats why I wrote the function, 
but I dont know what values to pick to make it suitable for every dataset. 

If I pick a statistical model like lm(y~x) as input, the function would not
know what objects it had to use
for the matrix algebra.

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