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TABLE 14-13
as a Project for His Business Yi=α+β1X1i+β2X2i+β3X3i+ε Y_{i}=\alpha+\beta_{1} X_{1 i}+\beta_{2} X_{2 i}+\beta_{3} X_{3 i}+\varepsilon

Question 159

Multiple Choice

TABLE 14-13
As a project for his business statistics class, a student examined the factors that determined parking meter rates throughout the campus area. Data were collected for the price per hour of parking, blocks to the quadrangle, and one of the three jurisdictions: on campus, in downtown and off campus, or outside of downtown and off campus. The population regression model hypothesized is
Yi=α+β1X1i+β2X2i+β3X3i+ε Y_{i}=\alpha+\beta_{1} X_{1 i}+\beta_{2} X_{2 i}+\beta_{3} X_{3 i}+\varepsilon

where Y is the meter price;
X1 is the number of blocks to the quad;
X2 is a dummy variable that takes the value 1 if the meter
is located in downtown and off campus and the value 0 otherwise;
X3 is a dummy variable that takes the value 1 if the meter
is located outside of downtown and off campus, and the value 0 otherwise.
The following Excel results are obtained.
Regression Statistics Multiple R0.9659R Square0.9331Adjusted R Square0.9294Standard Error 0.0327Observations58\begin{array}{lc}\hline \text {Regression Statistics } \\\hline \text {Multiple R} & 0.9659 \\ \text {R Square}& 0.9331 \\ \text {Adjusted R Square} & 0.9294 \\ \text {Standard Error }& 0.0327 \\ \text {Observations} & 58 \\\hline\end{array}

ANOVA
 d f  SS M S  F  Significance F  Regression30.80940.2698251.19951.0964E31 Residual 540.05800.0010 Total570.8675\begin{array}{lrcccr}\hline & \text { d f } & \text { SS} & \text { M S } & \text { F }& \text { Significance F }\\\hline \text { Regression} & 3 & 0.8094 & 0.2698 & 251.1995 & 1.0964 \mathrm{E}-31 \\ \text { Residual }& 54 & 0.0580 & 0.0010 & & \\ \text { Total} & 57 & 0.8675 & & & \\\hline\end{array}

 CoefficientsStandard Error t Stat  p-valueIntercept0.51180.013637.46752.4904X10.00450.00341.32760.1898X20.23920.012319.39425.3581E26X30.00020.01230.02140.9829\begin{array}{lcccl}\hline & \text { Coefficients} & \text {Standard Error }& \text {t Stat }& \text { p-value} \\\hline \text {Intercept} & 0.5118 & 0.0136 & 37.4675 & 2.4904 \\\mathrm{X1 } & -0.0045 & 0.0034 & -1.3276 & 0.1898 \\\mathrm{X2 } & -0.2392 & 0.0123 & -19.3942 & 5.3581 \mathrm{E}-26 \\\mathrm{X3 } & -0.0002 & 0.0123 & -0.0214 & 0.9829 \\\hline\end{array}

-Referring to Table 14-13, if one is already outside of downtown and off campus but decides to park 3 more blocks from the quad, the estimated average parking meter rate will


A) decrease by 0.4979.
B) decrease by 0.0139.
C) decrease by 0.0135.
D) decrease by 0.0045.

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