A Realtor Wants to Predict and Compare the Prices of Homes

question 86

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.
Using Model B, compute the test statistic for testing the joint significance of the two dummy variables Loc1 and Loc2.

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Definitions:

Cell Division

The process by which a parent cell divides into two or more daughter cells, essential for growth, repair, and reproduction in living organisms.

Endocrine Gland

Glands in the body that secrete hormones directly into the bloodstream to regulate various functions.

Hormones

Chemical messengers produced by the endocrine glands that regulate the activity of certain cells or organs, essential for every activity of daily living, including the processes of digestion, metabolism, growth, reproduction, and mood control.

Posterior Pituitary Gland

A gland located at the base of the brain that releases hormones like oxytocin and vasopressin, which are produced in the hypothalamus.