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TABLE 14-6 One of the Most Common Questions of Prospective House Buyers

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True/False

TABLE 14-6
One of the most common questions of prospective house buyers pertains to the cost of heating in dollars (Y).To provide its customers with information on that matter,a large real estate firm used the following 2 variables to predict heating costs: the daily minimum outside temperature in degrees of Fahrenheit (X1)and the amount of insulation in inches (X2).Given below is EXCEL output of the regression model. TABLE 14-6 One of the most common questions of prospective house buyers pertains to the cost of heating in dollars (Y).To provide its customers with information on that matter,a large real estate firm used the following 2 variables to predict heating costs: the daily minimum outside temperature in degrees of Fahrenheit (X<sub>1</sub>)and the amount of insulation in inches (X<sub>2</sub>).Given below is EXCEL output of the regression model.   Also SSR (X<sub>1</sub> ∣ X<sub>2</sub>)= 8343.3572 and SSR (X<sub>2</sub> ∣ X<sub>1</sub>)= 4199.2672 -True or False: When an additional explanatory variable is introduced into a multiple regression model,the adjusted r<sup>2</sup> can never decrease. Also SSR (X1 ∣ X2)= 8343.3572 and SSR (X2 ∣ X1)= 4199.2672
-True or False: When an additional explanatory variable is introduced into a multiple regression model,the adjusted r2 can never decrease.


Definitions:

Manipulate

To control or influence someone or something cleverly, unfairly, or unscrupulously, often without their knowledge.

Impressions

The initial perceptions or judgments formed about individuals or situations based on available sensory and contextual information.

Pygmalion Effect

The phenomenon whereby higher expectations lead to an increase in performance.

Performance

Performance refers to the execution of tasks and activities, and how effectively an individual, team, or organization achieves their objectives and goals.

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