Derivatives of the compound TIBO (20) inhibit the enzyme reverse transcriptase, which catalyses the conversion of retroviral

Question:

Derivatives of the compound TIBO (20) inhibit the enzyme reverse transcriptase, which catalyses the conversion of retroviral RNA to DNA. A QSAR analysis of the activity A of a number of TIBO derivatives suggests the following equation: log A = bv + bvS + b2W where 5 is a parameter related to the drug's solubility in water and W is a parameter related to the width of the first atom in a subsistent X shown in 20.

(a) Use the following data to determine the values of bvp bv and b2. Hint. The QSAR equation relates one dependent variable, log A, to two independent variables, Sand W. To fit the data, you must use the mathematical procedure of multiple regressions which can be performed with mathematical software or an electronic spreadsheet.

X H Cl SCH3 OCH3 CN CHO Br CH3 CCH

Log A 7.36 8.37 8.3 7.47 7.25 6.73 8.52 7.87 7.53

S3.534.24 4.09 3.45 2.96 2.89 4.39 4.03 3.80

W 1.00 1.80 1.70 1.35 1.60 1.60 1.95 1.60 1.60

(b) What should be the value of W for a drug with 5 = 4.84 and 10gA= 7.60?

HN- 20