There is a linear relationship between the $lo{g}^{**}$ of plasma concentration $($y$)$ and time $($x$)$ for a drug with

the following data.

I. Please plot the above plasma concentration$-$time data on an appropriate graph paper $($linear or

semilog$)$ to produce a straight line, and estimate the following parameters using the graph or linear

regression analysis.

Slope of the linear relationship describing the line $($Slope line in hr ${?}^{-1})$

Intercept of the linear relationship describing the line

The plasma concentration at time zero $(C_0$ in $\{$:$m\frac{g}{L})$

The plasma concentration at $3\mathrm{.}6hr(C_{3\mathrm{.}6}$inm$\frac{g}{L})$

II$.$ Please also determine the slope of the line using the following two points only.

The first and second data points presented above $($Slope $($in ${?}^{-1}$ in

The second and third data points presented above $($Slope $2-3{?}^{-3}i{n}^{-1})$

III. Please compare the slopes obtained above using different methods.

Which of the $3$ calculated slopes $($Slope $lin{e}_{\text{l}\text{i}\text{n}\text{e}},$ Slope ${?}_{1-2},$ or Slope ${?}_{2-3})$ is more accurate? Why?

Slope ${?}_{2-3}$; because it is almost at the middle of the data.

measurement error.

All the slopes are equally accurate; because they are from the same data set.

Slope ${?}_{1-2}$; because the first data point has less measurement error.

$*$Although one can use either common $($log$)$ or natural $($ln$)$ log to draw a line, for consistency in the

answers, please use common log $($base of $10).$