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A Realtor Wants to Predict and Compare the Prices of Homes

question 37

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 test statistic for testing the joint significance of the two dummy variables Loc1 and Loc2. 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.


Definitions:

Motivation

The psychological processes that arouse, direct, and maintain human behavior towards achieving a goal.

Emotion

A complex psychological state involving an individual's subjective experience, physiological response, and behavioral or expressive response.

Transcendence Need

A psychological term referring to the human desire to go beyond the self and have experiences with spiritual dimensions or universal truths.

Internal Locus

The belief that one has control over their life events and outcomes, as opposed to external forces having that control.

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