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 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)=BO + B1X1 +B2X2 +B3X3 b) Interpret the parameters B2 and B3 for the model in b) above c) Suppose a log-linear model is now used to estimate E(log Y) B0 +B1X1 +B2X2 +B3X3 d) Interpret the coefficients B1 and B3 from the model in part d) 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. 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 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
b) Interpret the parameters B2 and B3 for the model in b) above
c) Suppose a log-linear model is now used to estimate E(log Y) =B0 +B1X1 +B2X2 +B3X3
d) Interpret the coefficients B1 and B3 from the model in part d) 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. 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 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 b) Interpret the parameters B2 and B3 for the model in b) above c) Suppose a log-linear model is now used to estimate E(log Y) =B0 +B1X1 +B2X2 +B3X3 d) Interpret the coefficients B1 and B3 from the model in part d) above
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