The following data on y = concentration of penicillin-G in pig’s blood plasma (units per milliliter) and x = time (in minutes) from administration of a dose of penicillin (22 mg/kg body weight) appeared in the paper “Calculation of Dosage Regimens of Antimicrobial Drugs for Surgical Prophylaxis” (Journal of the American Veterinary Medicine Association [1984]: 1083–1087):

a. Construct a scatterplot for these data.

b. Using the ladder of transformations of Section 5.4 (see Figure 5.31 and Table 5.5), suggest a transformation that might straighten the plot. Give reasons for your choice of transformation.

Figure 5.31

Transcribed Image Text:

X y X y 5 32.6 240 6.4 15 43.3 360 9.2 45 23.1 480 0.4 90 16.7 1440 0.2 180 5.7