I have been given this formula to find the coefficients $b_1$ and $b_2$ as in the following image :
$b_1 = \left(\dfrac{r_{y,x_1}-r_{y,x_2}r_{x_1,x_2}}{1-(r_{x_1,x_2})^2} \right) \left( \dfrac{SD_y}{SD_{x_1}}\right)$
$b_2 = \left(\dfrac{r_{y,x_2}-r_{y,x_1}r_{x_1,x_2}}{1-(r_{x_1,x_2})^2} \right) \left( \dfrac{SD_y}{SD_{x_2}}\right)$
My question is what would the formula for coefficient $b_3, b4$ and $b_5$ look like. I have been unable to find this whilst searching the web.
Thanks.