Refer to Exercise 13.37. A logarithmic transformation of the dose levels will often result in a linear

Question:

Refer to Exercise 13.37. A logarithmic transformation of the dose levels will often result in a linear relation with the response, y. Let d be the dose level of the drug and x = loge (d). Which of the following three models seems the most appropriate? Justify your answer.
Model 1: y = βo + β1d + ɛ
Model 2: y = βo + β1d + β2d2 + ɛ
Model 3: y = βo + β1x + ɛ
In exercise
Dose Level Response
2………………………… 5, 7, 3
4…………………….. 10, 12, 14
8…………………….. 15, 17, 18
16…………………… 20, 21, 19
32……………………. 23, 24, 29