I am trying to calculate the unstandardised beta for a categorical variable in a linear regression model
y ~ c + βx1
where y (on the original scale) has a mean of 1000ms and a standard deviation 80 ms.
x1 is categorical and takes on two values as 0 or 1.
The standardised beta is 0.14
Is there a way i can derive the beta on the original scale? Is there a formula i would use?
I can find several references to the formula for transforming betas for continuous covariates but not for categorical ones.
Thank you