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. Car ownership (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

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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
Transcribed Image 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
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