You are given a synthetic dataset 'friend$\_$pairs.csv$\text{'}$ with the following columns:

Column Description

from The ID of a student

to The ID of a student

from$\_$answer The answer of the $$from$$ student

to$\_$answer The answer of the $$to$$ student

weight A numeric weight

Unique 'from' and $\text{'}$to$\text{'}$ pairs specify students who study together. Each pair is associated with $4$

dataset rows representing all permutations of their answers to a given question: $\{($Right$,$ Right$),$

$($Right$,$ Wrong$),($Wrong$,$ Right$),($Wrong$,$ Wrong$)\}.$ The 'weight' column indicates the relative

occurrence of each answer pair. For instance, the table below shows that these students are more

likely to have the same answer $($they are in agreement$),$ either both right or both wrong, with $($Right$,$

Right$)$ occurring more frequently than $($Wrong$,$ Wrong$).$