A subset of my dataset looks as follows where cells in "cat1_ids" column contains list of "cat1" categories and cells in "person_id_list" column contains list of persons id. There are 2000 "cat1" categories and 1500 person, How to prove "no_of_days" is related to to these two columns? 
After proving a relationship exists the next step is to train a model on this data for predicting "no_of_days". Any suggestions on how to deal with cells containing tuple of values?
(both graphical and statistical methods would be appreciated for proving relationship)

      cat1_ids    person_id_list   no_of_days
    0	(602,)        (12713,)        1.727083
    4	(3, 131)      (12408,)        1.770833
    5	(13,)         (12404,)        0.592361
    6	(442,)        (12327,)        2.518750
    7	(761,)        (12720,)        7.601389

    shape => 75000x3