Please answer both parts a and b of the following question. Please provide a detailed answer in order to get marked as a helpful answer.

1.) You are conducting a study to analyze gender differences in neurocognitive impairment (NCI) within a sample of cocaine-dependent methadone-maintained patients. You found 3 demographic characteristics that produced significant effects on NCI. They are gender, race, and age.

a.) What statistical analysis would you use to see simultaneously the contributions of socio-demographic variables (gender (male/female), race (White, Black, Latino, Asian), and age (in years) on self-reported NCI, a normal continuous outcome (higher scores indicate higher NCI)?

b) How many independent variables will there be in your model? Describe (1) what they are, (2) how you would create them, and (3) interpretation for each coefficient.