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Dummy variable

Consider the following model
 
ln(y_i)=1.21-0.36F_i+0.18x_i+\hat{\epsilon_i}
where F=1 if female, 0 otherwise. Which of the following statements are correct?

Consider the following model
 
ln(y_i)=1.13-0.18F_i+0.14x_i+0.07F_i\times~x_i+\hat{\epsilon_i}
where F=1 if female, 0 otherwise. Which of the following statements are correct?

  • SCIV
  • SCII
  • SCV
  • Intercept
  • SCI
  • SCIIIM
  • SCIIINM
  • -0.07
  • -0.13
  • 0.04
  • 0.00
  • 1.27
  • -0.18
  • -0.14

Consider the following model
 
ln(y_i)=1.13-0.36F_i-0.14B_i+\hat{\epsilon_i}
where F=1 if female, 0 otherwise, and B=1 if black, 0 otherwise. What would be the model estimates if you included dummy variables for males (M) (instead of females) and non-black (NB) (instead of blacks).

  • G1: x1
  • G3: x1
  • G1: Intercept
  • G1: x3
  • G2: x2
  • G3: Intercept
  • G1: x2
  • G3: x2
  • G2: x1
  • G3: x3
  • G2: x3
  • G2: Intercept
  • 1.05
  • 0.02
  • 1.13
  • 0.14
  • 0.05
  • -0.18
  • -0.18
  • -0.15
  • 0.14
  • 0.14
  • 1.24
  • 0.07

  • ~y_i=\alpha+\beta_1~x_i~
  • ~y_i=\alpha+\beta_1~x_i+\beta_2~D_i+\beta_3~D_i~\times~x_i~where~D_i=1~for~i=1,..n_1
  • ~y_i=\alpha+\beta_1~x_i+\beta_2~D_i~\times~x_i~where~D_i=1~for~i=1,..n_1
  • ~y_i=\alpha+\beta_1~x_i+\beta_2~D_i~where~D_i=1~for~i=n_1
  • ~y_i=\alpha+\beta_1~x_i+\beta_2~D_i~where~D_i=1~for~x_i>x^*
  • ~y_i=\alpha+\beta_1~x_i+\beta_2~D_i~where~D_i=1~for~i=1,..n_1
  • ~y_i=\alpha+\beta_1~x_i+\beta_2~D_i~\times~x_i,~where~D_i=1~for~x_i>x^*

Consider the following model
 
ln(y_i)=1.13-0.36F_i-0.14B_i+0.09F_iB_i+\hat{\epsilon_i}
where F=1 if female, 0 otherwise, and B=1 if black, 0 otherwise. Interpret the coefficient on the interaction term.

  • ~\delta_1~
  • ~\delta_3~
  • ~\delta_2~
  • ~\delta_0~
  • 9.2
  • -26.2
  • 52.8
  • 0.8

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