Researchers are interested in the relationship between sports and depression.

Researchers are interested in the relationship between sports and depression. The PHQ-9 is a screening tool used to provisionally diagnose depression and is scored out of 27 points. The literature shows that age and income are covariates of interest. They conduct a case-control study.

1.1 Researchers decided to treat depression and sports as binary variables. They construct the following regression equation to assess the adjusted association between sports and depression:

E(Y[X = x) Inc = Bo + B1(X) + B2(A) + B3(W) – E(Y X = x)

where: 

X = Spots (0=not participating in a sport;1=participating in a sport) 

A = Age (0=18-65 years old; 1=65+ years old) 

W = Income (0 = below the poverty line; 1 = above the poverty line)

How can the investigators can obtain the odds ratio for sports participation from the above regression equation?

1.2

Imagine the researchers obtained an odds ratio of 0.9 for sports participation from the above model. How will you interpret this estimate.  

1.3

What kind of regression model does the equation in 1.2 denote? 

Cox regression

Linear regression

Logistic regression

None of the above