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:

Quality-Enhanced

A description for improvements made to a product or service to increase its value or appeal to consumers.

Reported Earnings

The profit a company officially reports to the public in its financial statements, adhering to standard accounting practices.

Current Earnings

The amount of profit a company has generated during a specific period, often before the deduction of taxes and other expenses.

Stock Prices

The current market price of a company's share, reflecting what investors are willing to pay for it at a given time.