A question regarding correlation

I have a short question regarding the data analysis. I have 2 data sets. The first one is a signal which is yes / no / maybe and a second one is a data set which is response tot his signal in percentage. The percentage increases after each yes and maybe (Like a rain fact and plant disease level). The signal response (second data set is delayed in time). I need to find out the relationships betweeen this to data sest (signal and response). Which is the best method to do this in R.PS.I tried cross correlation but results are not clear.Thank you all!