SCENARIO 13-12
as a Project for His Business Statistics Class $\alpha$

question 274

Multiple Choice

SCENARIO 13-12
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 whether the parking is on or off campus.The population regression
model hypothesized is
where
Yi = $\alpha$ + $\beta$ 1 X1i + $\beta$ 2 X 2i + $\varepsilon$
Y is the meter price per hour
X1 is the number of blocks to the quad
X2 is a dummy variable that takes the value 1 if the meter is located on campus and 0 otherwise
The following Excel results are obtained. $\begin{array}{l}\begin{array}{lr}\hline{\text { Regression Statistics }} \\\hline \text { Multiple R } & 0.5536 \\\text { R Square } & 0.3064 \\\text { Adjusted R Square } & 0.2812 \\\text { Standard Error } & 0.4492 \\\text { Observations } & 58 \\\hline\end{array}\\\\\text { ANOVA }\\\begin{array}{lrrrrr}\hline &d f & \text { SS } &M S & F &\text { Significance } F\\\hline \text { Regression } & 2 & 4.9035 & 2.4518 & 12.1501 & 0.0000 \\\text { Residual } & 55 & 11.0984 & 0.2018 & & \\\text { Total } & 57 & 16.0019 & &\\\hline \end{array}\\\\\begin{array}{lrrrrrr}\hline & \text { Coefficients } & \text { Standard Error } & t \text { Stat } & \text { P-value } & \text { Lower 99\% } & \text { Upper 99\% } \\\hline \text { Intercept } & 1.6500 & 0.2028 & 8.1359 & 0.0000 & 1.1089 & 2.1912 \\\text { Block } & -0.2504 & 0.0529 & -4.7355 & 0.0000 & -0.3915 & -0.1093 \\\text { Campus } & 0.1552 & 0.1297 & 1.1966 & 0.2366 & -0.1908 & 0.5011 \\\hline\end{array}\end{array}$

-Referring to SCENARIO 13-12, what is the correct interpretation for the estimated coefficient for X2?

• A)Holding the effect of the distance from the quad constant, the estimated mean costs for parking on campus is $0.16 per hour more than parking off campus.
• B)Holding the effect of the distance from the quad constant, the estimated mean costs for parking off campus is $0.16 per hour more than parking on campus.
• C)Holding the effect of the distance from the quad constant, the estimated mean costs for parking on campus is $0.16 per hour more than parking off campus for each additional block away from the quad.
• D)Holding the effect of the distance from the quad constant, the estimated mean costs for parking off campus is $0.16 per hour more than parking on campus for each additional block away from the quad.

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