Hemoglobin carries oxygen and carbon dioxide throughout the body. The oxygen saturation curve for hemoglobin $($Fraction or percentage of hemoglobin that is saturated$)$ can be approximated using

the Hill Equation: This equation can be re$-$arranged as follows $($see attached$)$

You can plot ln$($Y$/(1-$Y$))$ vs ln$($PO$2)$ to estimate n$.$ Use this data to

estimate the value of P$50$ as well.

a$.$ Use basic linear regression $($or calculate the value of n using the linear portion of the transformed data $($using y$=$ mx$+$b$)$ using the linear portion of the transformed data $($Hint: You can visually select

the points from your transformed data$).$ What is your value for n$?$ Make sure you plot the measured values and your predicted values on the same graph.

b$.$ What happens to your curve if P$50=20,28$ and $35$ mmHg$?($Plot all three on one curve$).$ How the Hill Equation:

$Y=\frac{(p{O}_2{)}^n}{(P_{50}{)}^n+(p{O}_2{)}^n}$

This equation can be re$-$arranged as follow:

$ln(\frac{Y}{1-Y})=n**ln(p{O}_2)-n**ln(P_{50})$do

these changes affect the predicted oxygen transport?

c$.$ What happens to your curve if n $=2,2\mathrm{.}5,$ or $3?($Plot all three on one curve$).$ How do these changes

affect the predicted oxygen transport?