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# hw11sol - STA 6934(5 HW#11 Variable Cocaine/Crack Use(x1...

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STA 6934 HW#11 (5) Variable Coefficient Cocaine/Crack Use (x1) 1.354 Marital Status(x2) 0.779 Number of Prenatal visits(x3) -0.098 Alcohol use(x4) 0.723 Level of Education(x5) 0.298 ln{ p/ 1 – p} = + 1.354x1 + 0.779x2 – 0.098x3 + 0.7234x4 + 0.298 x5 a) As x3 increases, p decreases. Therefore, as an expectant mother’s number of prenatal visits to the doctor increases, the probability that her child will be born with congenital syphilis decreases. b) For marital status, ‘0 represents married and ‘1 represents unmarried! OR = e 0.779 = 2.179. So odds of syphilis are 2.2 times higher for unmarried mothers. c) For cocaine consumption: ‘1’ represents usage of drugs and ‘0’ represents non-usage of drugs. OR = e 1.354 = 3.872. So odds of syphilis are almost 4 times higher for a drug user. d) Confidence Intervals: Se(B) = 0.162 (1.354-1.96(Se (B)), 1.354 + 1.96(Se (B)) ( 1.03, 1.67) Now, a 95% CI for OR term will have (e 1.03 , e 1.67 ) = (2.8, 5.31) This implies there is a significant relationship as CI excludes 1. Hence, for cocaine users, the odds of congenital syphilis are higher than for non-cocaine users.

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hw11sol - STA 6934(5 HW#11 Variable Cocaine/Crack Use(x1...

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