How did Archibald Hill contribute to the understanding of hemoglobin's cooperative oxygen binding?

Which aspect of the Hill Equation makes it resemble the equation of a line?

What does the Hill constant (n h) indicate in ligand binding reactions?

Under what circumstances does the Hill constant (n h) equal the number of ligand binding sites (n)?

Given a ligand concentration of 150 torr and a k d of 30 torr, calculate the fractional saturation of hemoglobin using the Hill Equation with n h = 3.

What does hemoglobin's Hill constant of approximately 3 imply about its binding behavior?

What does the sigmoidal shape of hemoglobin's oxygen binding curve indicate about its cooperativity?