I am trying to interpret some coefficients on their natural scale from a

Stan model fit to standardized inputs. The model predicts when plants

are damaged by frost in the spring (0/1 outcome) based on a few climate

predictors, all standardized by subtracting the mean and dividing by 2

SD. I have a mean spring temperature (MST) input and would like to say

‘for every 2 degrees of MST warming, frost damage changes X%’ … my

current calculations for this are:

```
invlogit(intercept + (coefMST/(sd(MST)*2))*mean(MST)) -
invlogit(intercept + (coefMST/(sd(MST)*2))*(mean(MST)-2)))*100
```

I am new to these models, especially using standardized inputs, so am

wondering if my conversion is correct or if I need to also back-convert

the intercept or something else … Thanks!