SCENARIO 13-4
a Real Estate Builder Wishes to Determine How

question 237

Multiple Choice

SCENARIO 13-4
A real estate builder wishes to determine how house size (House) is influenced by family income (Income) and family size (Size) .House size is measured in hundreds of square feet and income is measured in thousands of dollars.The builder randomly selected 50 families and ran the multiple regression.Partial Microsoft Excel output is provided below: $\begin{array}{lr}\hline{\text { Regression Statistics }} \\\hline \text { Multiple R } & 0.8479 \\\text { R Square } & 0.7189 \\\text { Adjusted R Square } & 0.7069 \\\text { Standard Error } & 17.5571 \\\text { Observations } & 50\\\hline \end{array}$

$\text { ANOVA }$
$\begin{array}{lrrrrr} & d f & \text { SS } & {M S} & F & \text { Significance } F \\\hline \text { Regression } & & & 37043.3236 & 18521.6618 & 0.0000 \\\text { Residual } & & 14487.7627 & 308.2503 & \\\text { Total } & & 49 & 51531.0863 & &\end{array}$

$\begin{array}{lrrrr}\hline & \text { Coefficients } & \text { Standard Error } &{t \text { Stat }} & \text { P-value } \\\hline \text { Intercept } & -5.5146 & 7.2273 & -0.7630 & 0.4493 \\\text { Income } & 0.4262 & 0.0392 & 10.8668 & 0.0000 \\\text { Size } & 5.5437 & 1.6949 & 3.2708 & 0.0020\\\hline \end{array}$

$\text { Also } \operatorname{SSR}\left(X_{1} \mid X_{2}\right) =36400.6326 \text { and } \operatorname{SSR}\left(X_{2} \mid X_{1}\right) =3297.7917$


-Referring to SCENARIO 13-4, the observed value of the F-statistic is missing from the printout.What are the degrees of freedom for this F-statistic?

• A)2 for the numerator, 47 for the denominator
• B)2 for the numerator, 49 for the denominator
• C)49 for the numerator, 47 for the denominator
• D)47 for the numerator, 49 for the denominator

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Definitions:

Direct Expenses

Costs that can be directly attributed to the production of specific goods or services, such as raw materials and direct labor.

Excess Capacity

The situation where a company can produce more goods or services than currently demanded, indicating underutilization of resources.

Opportunity Cost

The cost of foregoing the next best alternative when making a decision or choosing one option over another.

Outlay Cost

Expenses directly associated with the production of goods or services, such as materials and labor.