A survey of high school students was done to examine whether students had ever driven a car after consuming a substantial amount of alcohol (1=yes, 0=no). Data was collected on their sex (male/female), race (White/non-White), and grade level (9,10,11,12). Researchers realized that the impact of race on consuming alcohol before driving might vary by grade level and decided to fit the following model. Variable Coding = 1 if Intercept   Sex () Female Race () Black Grade level ( 9th grade 10th grade 11th grade [Reference = 12th grade]

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.6: Exponential And Logarithmic Equations
Problem 40E
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  1. A survey of high school students was done to examine whether students had ever driven a car after consuming a substantial amount of alcohol (1=yes, 0=no). Data was collected on their sex (male/female), race (White/non-White), and grade level (9,10,11,12). Researchers realized that the impact of race on consuming alcohol before driving might vary by grade level and decided to fit the following model.

Variable

Coding = 1 if

Intercept

 

Sex ()

Female

Race ()

Black

Grade level (

9th grade

10th grade

11th grade

[Reference = 12th grade]

 

Attached is the logistic model 

1. Compute the OR of drinking before driving for students who self-reported as Black versus non-Black in the 9th grade, adjusting for gender.

2. Compute the OR of drinking before driving for students who self-reported as Black versus non-Black in the 12th grade, adjusting for gender.

3. Compute the OR of drinking before driving for someone in the 9th grade versus 12th grade for a student who self-reported as Black, adjusting for gender.

logit (î;) = −0.88 – 0.40X₁ — 0.72X2 — 2.22X3 — 1.43X4 — 0.58X5 +0.74X₂X3
+0.38X₂X4 +0.01X₂X5
Transcribed Image Text:logit (î;) = −0.88 – 0.40X₁ — 0.72X2 — 2.22X3 — 1.43X4 — 0.58X5 +0.74X₂X3 +0.38X₂X4 +0.01X₂X5
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