Interpretation of continuous variable in an odds ratio for logistic regression I have an odds ratio of 1.02 for x variable (Age, a continuous variable measured in units "1 year"). My response variable is Y. I would interpret this as for every increase in Age by 1 year the odds of Y happening increase by 2%.
My question is can I say for every 10 year increase in Age, the odds of Y happening increase by 20% or would I have to group my continuous variable into 10 year categories to interpret this correctly?
Kind regards,

Let's say your model, expressed in terms of odds,
$$ \dfrac{p}{1-p} = \exp(\beta_0 + \beta_1x) = B\exp(\beta_1x) $$
Here $B = \exp(\beta_0)$, and $\exp(\beta_1)=1.02$ as per your question.  A ten year increase in age would increase the odds by a factor of
$$ \exp(\beta_110) = \Big(\exp(\beta_1)\Big)^{10} \approx 1.22 $$
