A Realtor Wants to Predict and Compare the Prices of Homes

question 109

Short Answer

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 + β₁ Size + β₂ Age + ε
Model B: Price = β₀ + β₁ Size + β₃ Loc1 + β₄ Loc2 + ε
Model C: Price = β₀ + β₁ Size + β₂ Age + 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. Note: The values of relevant test statistics are shown in parentheses below the estimated coefficients.
Which of these three models would you choose to make the predictions of the home prices?

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Definitions:

Become Cautious

To adopt a more careful and considerate approach towards decision-making or actions, often due to perceived risks or uncertainties.

Escalation of Commitment

The phenomenon where people increase their investment in a decision despite new evidence suggesting it may be wrong, often due to cognitive biases or emotional attachment.

Framing Error

A cognitive bias where the context or way in which information is presented affects decision-making or judgement.

Auction Fever

Auction fever describes the emotional excitability and competitive bidding that can lead individuals to pay more for items in auctions than they are worth or had intended to spend.