lollaupligey9

2022-08-18

Finding Multiple regression coefficients

If I have a multiple regression like this $Y=a+{b}_{1}.{X}_{1}+{b}_{2}.{X}_{2},$ how can I calculate the values of ${b}_{1}$ and ${b}_{2}$? I have searched on the web but couldn't find an answer.

If I have a multiple regression like this $Y=a+{b}_{1}.{X}_{1}+{b}_{2}.{X}_{2},$ how can I calculate the values of ${b}_{1}$ and ${b}_{2}$? I have searched on the web but couldn't find an answer.

raffatoaq

Beginner2022-08-19Added 22 answers

Hint: rewrite

$Y=\left(\begin{array}{ccc}{X}_{1}& {X}_{2}& 1\end{array}\right)\left(\begin{array}{c}{\beta}_{1}\\ {\beta}_{2}\\ a\end{array}\right)=X\beta $

and then apply the multidimensional linear regression results.

$Y=\left(\begin{array}{ccc}{X}_{1}& {X}_{2}& 1\end{array}\right)\left(\begin{array}{c}{\beta}_{1}\\ {\beta}_{2}\\ a\end{array}\right)=X\beta $

and then apply the multidimensional linear regression results.

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