A Realtor Wants to Predict and Compare the Prices of Homes

question 13

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 + 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.
Using Model C, what is the conclusion for testing the joint significance of the two dummy variables at the 1% significance level?

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Definitions:

Profits

The financial gain realized when the revenue earned from business activities exceeds the expenses, costs, and taxes needed to sustain those activities.

Output

The quantity of goods or services produced by a business, industry, or economy within a specific period.

Shutting Down

A short-run decision by a firm to cease production temporarily due to unfavorable market conditions.

Long Run

A period in economics where all factors of production and costs are variable, allowing for full adjustment to changes.