If the curves are constructed randomly and independently then in some cases a linear relationship would be implied by the central limit theorem.
Not sure if this is helpful or not—CLT assumptions may or may not be valid in the instances you’re thinking of. I think my brain just went “Sum of many different variables leading to a surprising regular pattern? That reminds me of CLT”.
If the curves are constructed randomly and independently then in some cases a linear relationship would be implied by the central limit theorem.
Not sure if this is helpful or not—CLT assumptions may or may not be valid in the instances you’re thinking of. I think my brain just went “Sum of many different variables leading to a surprising regular pattern? That reminds me of CLT”.