Mathematics, 05.05.2020 07:59 Wocking310
( 2 , 6 ) , ( 3 , 12 ) , ( 4 , 15 ) , ( 5 , 21 ) We want to find the line t = m s + q , with slope m and y-intercept q , that best fits this data. Namely, we go ahead and try to solve the system A x = b with A = ⎡ ⎢ ⎢ ⎢ ⎢ ⎣ 2 1 3 1 4 1 5 1 ⎤ ⎥ ⎥ ⎥ ⎥ ⎦ , b = ⎡ ⎢ ⎢ ⎢ ⎢ ⎣ 6 12 15 21 ⎤ ⎥ ⎥ ⎥ ⎥ ⎦ and x = [ m q ] However, this system is very likely to be inconsistent. So instead we write down the normal equation A T A x = A T b and solve it to get the least squares solution x = [ m , q ] T .
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( 2 , 6 ) , ( 3 , 12 ) , ( 4 , 15 ) , ( 5 , 21 ) We want to find the line t = m s + q , with slope m...
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