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Instruction 13-10
as a Project for His Business Statistics Class,a

Question 249

Multiple Choice

Instruction 13-10
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,number of city blocks to the centre of the university,and one of the three jurisdictions: on campus,in the CBD and off campus,or outside of the CBD and off campus.The population regression model hypothesised is:
Yi = α + β1x1i + β2x2i + β3x2i + εi
Where
Y is the meter price
x1 is the number of blocks to the centre of the university
x2 is a dummy variable that takes the value 1 if the meter is located in the CBD 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 the CBD and off campus,and the value 0 otherwise
The following Excel results are obtained.
 Regression Statistics  Multiple R 0.9659 R Square 0.9331 Adjusted R Square 0.9294 Standard Error 0.0327 Observations 58\begin{array}{l}\text { Regression Statistics }\\\begin{array}{lr}\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\end{array}\end{array}
ANOVA
DfSSMSF Significance F  Regression 30.80940.2698251.19950.0000 Residual 540.05800.0010 Total 570.8675\begin{array}{lrrrrr} & D f & S S & M S & F & \text { Significance F } \\\hline \text { Regression } & 3 & 0.8094 & 0.2698 & 251.1995 & 0.0000 \\\text { Residual } & 54 & 0.0580 & 0.0010 & & \\\text { Total } & 57 & 0.8675 & & &\end{array}

 Coefficients  Standard Error t Stat P-value  Intercept 0.51180.013637.46752.4904X10.00450.00341.32760.1898X20.23920.012319.39420.0000X30.00020.01230.02140.9829\begin{array}{lrrrr} & \text { Coefficients } & \text { Standard Error } & {t \text { Stat }} & {P \text {-value }} \\\hline \text { Intercept } & 0.5118 & 0.0136 & 37.4675 & 2.4904 \\\mathrm{X}_{1} & -0.0045 & 0.0034 & -1.3276 & 0.1898 \\\mathrm{X}_{2} & -0.2392 & 0.0123 & -19.3942 & 0.0000 \\\mathrm{X}_{3} & -0.0002 & 0.0123 & -0.0214 & 0.9829\end{array}
-Referring to Instruction 13-10,if one is already outside of the CBD and off campus but decides to park three more blocks from the centre of the university,the estimated mean parking meter rate will


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

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