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Exhibit 17

question 104

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Exhibit 17.8.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 + β1Size + β2Loc1 + β3Loc2 + ε,
Model C: Price = β0 + β1Size + β2Age + β3Loc1 + β4Loc2 + ε,
where,
Price = the price of a home (in $thousands),
Size = the square footage (in square 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. Exhibit 17.8.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>2</sub>Loc1 + β<sub>3</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 $thousands), Size = the square footage (in square 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. Refer to Exhibit 17.8.What is the p-value for testing the significance of Age in Model C? Note: The values of relevant test statistics are shown in parentheses below the estimated coefficients.
Refer to Exhibit 17.8.What is the p-value for testing the significance of Age in Model C?


Definitions:

Connecting Points

The process or technique of determining a path or drawing a line between multiple points in a space.

Option

In finance, it refers to a contract which gives the buyer the right, but not the obligation, to buy or sell an underlying asset at a specified price on or before a specified date.

Observations

Data points or individual pieces of information collected during a study or research.

Simple Linear Regression

An analytical technique that utilizes a linear equation to depict the connection between a single independent variable and a dependent variable.

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