Question 1 : An experiment was conducted to determine the effects

of two different drugs on reducing the growth of tumor size for patients with stomach cancer in Saskatchewan. For each patient, and after 6 months of taking the drug, tumor size reduction was measured, at a given dose value, as a percentage of the original size before taking the drug. All recordings are :

Patient# 123456789 DoseAmountofDrug(inmm)"A"(x) 2 3 1 5 21 9 11 15 17

Tumor Size Reduction (yA) 11 15 11 18 44 20 18 21 31

and

DoseAmountofDrug(inmm)"B"(x) 2 3 1 5 21 9 11 15 17

Tumor Size Reduction (yB) 12 18 13 28 61 27 18 33 36

1. (14 points) Find the best fitting line (between x and y) for each drug and plot it. Plot both lines at one graph.
2. (3 points) Find the point of intersection of both lines in part 1.
3. (3 points) Find the relative potency of Drug "B" relative to Drug
4. "A" at x = 4.3mm, x = 2.3mm, and x = 6.3mm.

Hint : Relative potency refers to "the ratio of the predicted values

of Drug "B" relative to Drug "A" at a given dose (x) value", that is yB,predicted , at x = 4.3mm.

yA,predicted Solution :

Patient# 123456789

1