You have obtained measurements of height (in inches) of 29 female and 81 male students (Studenth) at your university. An estimated regression of this height on a constant and the following binary variables indicated below: (BFemale) which takes a value of one for females and is zero otherwise, (BMale), which takes a value fone for males and is zero otherwise, Estimated(Studenth) = 71.0 - 4.84(BFemme) , R = 0.40, SER = 2.0 Standard errors are as here: SE(intercept) = (0.3) SE(BFemme) = (0.57) (Values in parentheses are the heterskedasticity-robust standard errors of coefficients, respectively) (a) What are the interpretation of the intercept and slope, respectively? (b) Test the hypothesis that females, on average, are shorter than males, at the 5% level (use any of the explained three approaches that seems fit, and consider the t-statistic for the difference in means = -8.49). (C) Is it likely that the error term is homoskedastic in here? Briefly explain. (d) Suppose that an you modified this regression with two binary variables of female and male on the same equation. Can you run this regression? what problem would you run into?

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Chapter1: Starting With Matlab
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You have obtained measurements of height (in inches) of 29 female and 81 male students (Studenth) at your university. An estimated regression of this height on a constant and the following binary variables is indicated below:
(BFemale) which takes a value of one for females and is zero otherwise,
(BMale), which takes a value of one for males and is zero otherwise,
Estimated(Studenth) = 71.0 - 4.84(BFemme) , R = 0.40, SER = 2.0
Standard errors are as here:
SE(intercept) = (0.3)
SE(BFemme) = (0.57)
(Values in parentheses are the heterskedasticity-robust standard errors of coefficients, respectively)
(a) What are the interpretation of the intercept and slope, respectively?
(b) Test the hypothesis that females, on average, are shorter than males, at the 5% level (use any of the explained three approaches that seems fit, and consider the t-statistic for the difference in means = -8.49).
(C) Is it likely that the error term is homoskedastic in here? Briefly explain.
(d) Suppose that an you modified this regression with two binary variables of female and male on the same equation. Can you run this regression? what problem would you run into?
Transcribed Image Text:You have obtained measurements of height (in inches) of 29 female and 81 male students (Studenth) at your university. An estimated regression of this height on a constant and the following binary variables is indicated below: (BFemale) which takes a value of one for females and is zero otherwise, (BMale), which takes a value of one for males and is zero otherwise, Estimated(Studenth) = 71.0 - 4.84(BFemme) , R = 0.40, SER = 2.0 Standard errors are as here: SE(intercept) = (0.3) SE(BFemme) = (0.57) (Values in parentheses are the heterskedasticity-robust standard errors of coefficients, respectively) (a) What are the interpretation of the intercept and slope, respectively? (b) Test the hypothesis that females, on average, are shorter than males, at the 5% level (use any of the explained three approaches that seems fit, and consider the t-statistic for the difference in means = -8.49). (C) Is it likely that the error term is homoskedastic in here? Briefly explain. (d) Suppose that an you modified this regression with two binary variables of female and male on the same equation. Can you run this regression? what problem would you run into?
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