A quadratic model was applied to motor vehicle toxic emissions data collected in City (Environmental Science &

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A quadratic model was applied to motor vehicle toxic emissions data collected in City (Environmental Science & Engineering, Sept. 1, 2000). The following equation was used to predict the percentage (y) of motor vehicles without catalytic converters in the Mexico City fleet for a given year (x):
 = 325,790 - 321.67x + .0794x2.
a. Explain why the value 0 = 325,790 has no practical interpretation.
b. Explain why the value 1 = -321.67 should not be interpreted as a slope.
c. Examine the value of 2 to determine the nature of the curvature (upward or downward) in the sample data.
d. The researchers used the model to estimate "that just after the year 2021 the fleet of cars with catalytic converters will completely disappear." Comment on the danger of using the model to predict y in the year 2021.
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Statistics For Business And Economics

ISBN: 9780321826237

12th Edition

Authors: James T. McClave, P. George Benson, Terry T Sincich

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