According to the 2014 National Survey on Drug Use and Health, 11.4% of adolescents in the United States had at least one major depressive episode (MDE) in the year prior to be being surveyed. The percentage of MDE among adolescents was approximately three times higher for female adolescents (17.3%) than for male adolescents (5.7%). (a) Consider the American adolescent population as the sample space of interest. Enter the three percents cited here using probability notation. (Enter your answers rounded to three decimal places.) P(MDE) = %3! . 0197 X oc .020 X P(MDE | female) = Je P(MDE | male) .00 7 %3D (b) Is MDE independent of sex in the American adolescent population? Select the best explanation. O No, MDE is not independent of sex in the American adolescent population. Knowing the sex does not change the probability of MDE. O None of the options are correct. Yes, MDE is independent of sex in the American adolescent population since P(MDE) P(male) = P(MDE | male). No, MDE is not independent of sex in the American adolescent population. Knowing the sex of the adolescent changes the probability of MDE.

Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.

A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related.

Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as p…