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You Have Obtained Measurements of Height in Inches of 29  Studenth ^=71.04.84× BFemme ,R2=0.40,SER=2.0(0.3)(0.57)\begin{aligned}\widehat{\text { Studenth }}= & 71.0-4.84 \times \text { BFemme }, \quad R^{2}=0.40, S E R=2.0 \\& (0.3)(0.57)\end{aligned}

Question 21

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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:  Studenth ^=71.04.84× BFemme ,R2=0.40,SER=2.0(0.3)(0.57)\begin{aligned}\widehat{\text { Studenth }}= & 71.0-4.84 \times \text { BFemme }, \quad R^{2}=0.40, S E R=2.0 \\& (0.3)(0.57)\end{aligned} (a)What is the interpretation of the intercept? What is the interpretation of the slope?
How tall are females, on average?

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