You have obtained measurements of height in inches of 29 female and 81 male students (Studenth)at your university.A regression of the height on a constant and a binary variable (BFemme),which takes a value of one for females and is zero otherwise,yields the following result: = 71.0 - 4.84×BFemme ,R2 = 0.40,SER = 2.0
(0.3)(0.57)
(a)What is the interpretation of the intercept? What is the interpretation of the slope? How tall are females,on average?
(b)Test the hypothesis that females,on average,are shorter than males,at the 1% level.
(c)Is it likely that the error term is homoskedastic here?
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