Question

In the same sample of 300 25-35 year olds, you decide to create a obesity (obese versus not obese). You are interested in examining the relationship between obesity, years of education, and race. 2. dichotomous variable for Write the equation of the multiple regression model with only main effects. (0.5pt) a.

Answer 1

a.

Multiple regression models with only main effects is,

ln(P/1-P) = $\beta_0$ +
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Years Edu + $\beta_2$ race

where P is the probability of being obese.

b.

i.

With the given coefficients, the models with only main effects is,

ln(P/1-P) = -0.266 - 0.043 Years Edu + 0.141 Woman

ii.

P-value (P > |z|) for Years Edu is less than 0.05 significance level. Thus, Years Edu is statistically significant with obesity.

P-value (P > |z|) for Women is greater than 0.05 significance level. Thus, Women is not statistically significant with obesity.

iii.

For, Years Edu = 0.96, Women = 1.15

ln(P/1-P) = -0.266 - 0.043 * 0.96 + 0.141 * 1.15 = -0.14513

odds = P/(1-P) = exp(-0.14513) = 0.8649