Solved

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 258

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, what is the correct interpretation for the estimated coefficient for X2?


A) All else equal, the estimated average difference in costs between parking on campus, and parking outside of downtown and off campus is - $0.24 per hour.
B) All else equal, the estimated average difference in costs between parking in downtown and off campus, and parking either outside of downtown and off campus or on campus is - $0.24 per hour.
C) All else equal, the estimated average difference in costs between parking in downtown and off campus, and parking outside of downtown and off campus is - $0.24 per hour.
D) All else equal, the estimated average difference in costs between parking in downtown and off campus, and parking on campus is - $0.24 per hour.

Correct Answer:

verifed

Verified

Unlock this answer now
Get Access to more Verified Answers free of charge

Related Questions