TABLE 14-5
a Microeconomist Wants to Determine How Corporate

Multiple Choice

TABLE 14-5
A microeconomist wants to determine how corporate sales are influenced by capital and wage spending by companies. She proceeds to randomly select 26 large corporations and record information in millions of dollars. The Microsoft Excel output below shows results of this multiple regression.
$$\begin{array}{l}\text { Regression Statistics }\\\begin{array} { l r } \hline \text { Multiple R } & 0.830 \\\text { R Square } & 0.689 \\\text { Adjusted R Square } & 0.662 \\\text { Standard Error } & 17501.643 \\\text { Observations } & 26\end{array}\end{array}$$

ANOVA
$\begin{array}{lcrrrr}\hline & \text { d f }&\text { S S } & \text { M S } & \text { F }&\text { Significance F } \\\hline \text {Regression} & 2 & 15579777040 & 7789888520 & 25.432 & 0.0001 \\\text {Residual }& 23 & 7045072780 & 306307512 & & \\\text {Total }& 25 & 22624849820 & & & \\\hline\end{array}$

$$\begin{array} { l c c c c } & \text { Coefficients } & \text { Standard Error} & \text { t Stat } & \text { p-value } \\\text { Intercept } & 15800.0000 & 6038.2999 & 2.617 & 0.0154 \\\text { C apital } & 0.1245 & 0.2045 & 0.609 & 0.5485 \\\text { W ages } & 7.0762 & 1.4729 & 4.804 & 0.0001 \\\hline\end{array}$$



TABLE 14-3
$\text {SUMMARY OUTPUT}$

$\begin{array}{lc}\hline \text { Regression Statistics } \\\hline \text {Multiple R} & 0.991 \\ \text {R Square }& 0.982 \\ \text {Adjusted R Square }& 0.976 \\ \text {Standard Error }& 0.299 \\ \text {Observations }& 10 \\\hline\end{array}$

ANOVA
$\begin{array}{lrrrrr}\hline & \text { d f}& \text { SS } & \text {MS } & \text { F } & \text {Significance F } \\\hline \text { Regression} & 2 & 33.4163 & 16.7082 & 186.325 & 0.0001 \\ \text {Residual }& 7 & 0.6277 & 0.0897 & & \\ \text {Total} & 9 & 34.0440 & & & \\\hline\end{array}$


$\begin{array}{lcccr}\hline & \text {Coefficients} & \text { Standard Error} & \text { t Stat }& \text { p -value} \\\hline \text {Intercept }& -0.0861 & 0.5674 & -0.152 & 0.8837 \\ \text {GDP} & 0.7654 & 0.0574 & 13.340 & 0.0001 \\ \text {Price }& -0.0006 & 0.0028 & -0.219 & 0.8330 \\\hline\end{array}$

-Referring to Table 14-5, the observed value of the F-statistic is given on the printout as 25.432. What are the degrees of freedom for this F-statistic?

A) 23 for the numerator, 25 for the denominator
B) 25 for the numerator, 2 for the denominator
C) 2 for the numerator, 23 for the denominator
D) 2 for the numerator, 25 for the denominator