# linear and logistic regression

how are relationship between coefficient of linear regression and logistic regression (or odds ratio)? I want compare coefficient of linear regression with odds ratios of logistic regression. Is there a relationship between these two coefficent?

• Could you be more specific about what you mean by "linear regression"? How, exactly, is it being performed (there are many different ways to apply least-squares regression to a binary response variable) and what precisely is its relationship to the logistic regression you are doing? – whuber Jun 20 '16 at 15:29
• Consider looking at link – Kontorus Jun 20 '16 at 15:31

$Y = ax_1 + b$
$a$ = the change in $Y$ correlated with a one-unit change in $x_1$, given that all else is held constant.
$Y = \frac{1}{1+e^{-\beta_0+\beta_1x}}$
$\beta_1$ = the change in the log-odds correlated with a one-unit change in $x_1$, given that all else is held constant.