# Question: Refer to Exercise 13 37 A logarithmic transformation of the dose

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

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

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