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A Realtor Wants to Predict and Compare the Prices of Homes

question 81

Essay

A realtor wants to predict and compare the prices of homes in three neighboring locations.She considers the following linear models:
Model A: Price = β0 + β1Size + β2Age + ε
Model B: Price = β0 + β1 Size + β3 Loc1 + β4 Loc2 + ε
Model C: Price = β0 + β1Size + β2Age + β3 Loc1 + β4 Loc2 +ε
where,
Price = the price of a home (in $1,000s)
Size = the square footage (in sq.feet)
Loc1 = a dummy variable taking on 1 for Location 1,and 0 otherwise
Loc2 = a dummy variable taking on 1 for Location 2,and 0 otherwise
After collecting data on 52 sales and applying regression,her findings were summarized in the following table. A realtor wants to predict and compare the prices of homes in three neighboring locations.She considers the following linear models: Model A: Price = β<sub>0</sub> + β<sub>1</sub>Size + β<sub>2</sub>Age + ε Model B: Price = β<sub>0</sub> + β<sub>1</sub> Size + β<sub>3</sub> Loc1 + β<sub>4</sub> Loc2 + ε Model C: Price = β<sub>0</sub> + β<sub>1</sub>Size + β<sub>2</sub>Age + β<sub>3</sub> Loc1 + β<sub>4</sub> Loc2 +ε where, Price = the price of a home (in $1,000s) Size = the square footage (in sq.feet) Loc1 = a dummy variable taking on 1 for Location 1,and 0 otherwise Loc2 = a dummy variable taking on 1 for Location 2,and 0 otherwise After collecting data on 52 sales and applying regression,her findings were summarized in the following table.   Note: The values of relevant test statistics are shown in parentheses below the estimated coefficients. Using Model B,compute the predicted price of a 2,500-square-foot home in Location 1. Note: The values of relevant test statistics are shown in parentheses below the estimated coefficients.
Using Model B,compute the predicted price of a 2,500-square-foot home in Location 1.

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Definitions:

Political Compromise

The process of making concessions and reaching agreements in the political arena to resolve conflicts or achieve legislative outcomes.

Electors

Individuals selected to represent their state in the United States Electoral College, responsible for formally selecting the President and Vice President.

Separation of Powers

A model of governance where the state's government is divided into branches, each with separate and independent powers and areas of responsibility to prevent any one branch from exercising the core functions of another.

National

Pertaining to or characteristic of a nation; a term that can refer to aspects related to a country such as policies, identity, or affairs.

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