Suppose a data file from a certain study has information for the following variables: 1. Gender- (X1) 2. Monthly income in US dollars- (Y) 3. Carownership (own a car/does not own a car)-(X2) 4. Age...

Extracted text: Suppose a data file from a certain study has information for the following variables: 1. Gender- (X1) 2. Monthly income in US dollars- (Y) 3. Carownership (own a car/does not own a car)-(X2) 4. Age (X3) From such a hypothetical data set, answer the following questions: a) Suggest how you can define dummy variables for the nominal variables gender, and car ownership b) Suggest the null and alternative hypotheses for a global F-test examining the joint significance of coefficients of the independent variables in the model E(Y)=B0 + B1X1 +B2X2 +B3X3 c) Interpret the parameters BO, B1, B2, and B3 for the model in b) above