You Have Obtained Measurements of Height in Inches of 29 $\widehat {\text { Studenth }}$

question 21

Essay

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: $\widehat {\text { Studenth }}$ = 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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Definitions:

Cation

Positively charged ion that is formed when an atom loses one or more electrons.

Valence Shell

The outermost shell of an electron orbiting the nucleus of an atom, determining the atom's chemical properties and reactivity.

Anion

A negatively charged ion, which forms when an atom or molecule gains one or more electrons.

Chemical Elements

Substances that cannot be broken down into simpler substances by chemical means, consisting of atoms with the same number of protons.