Females, on Average, Are Shorter and Weigh Less Than Males $$\widehat { \text { Studentw } } = - 229.21 - 6.36 \times \text { Female } + 5.58 \times \text { Height } , R ^ { 2 } = 0.50 , \text { SER } = 20.99$$

question 22

Essay

Females, on average, are shorter and weigh less than males.One of your friends, who is a
pre-med student, tells you that in addition, females will weigh less for a given height.To
test this hypothesis, you collect height and weight of 29 female and 81 male students at
your university.A regression of the weight on a constant, height, and a binary variable,
which takes a value of one for females and is zero otherwise, yields the following result: $$\widehat { \text { Studentw } } = - 229.21 - 6.36 \times \text { Female } + 5.58 \times \text { Height } , R ^ { 2 } = 0.50 , \text { SER } = 20.99$$ where Studentw is weight measured in pounds and Height is measured in inches.
(a)Interpret the results.Does it make sense to have a negative intercept?

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Definitions:

Economy Will Produce

Refers to the total output of goods and services that an economy generates over a specific time frame.

Outside The Frontier

Referring to production or economic activity occurring at a level below the potential or efficient production frontier, indicating underutilization of resources.

Available Technology

Refers to the current set of tools, machinery, and methods that can be used to produce goods and services.

Inefficient Use

refers to the scenario where resources are not being utilized in the best possible manner, leading to waste or suboptimal outcomes.