Explain why the value should not be interpreted as a slope

Reference no: EM131404530

Cars with catalytic converters

A quadratic model was applied to motor vehicle toxic emissions data collected over 15 recent years in Mexico City (Environmental Science and Engineering, September 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): yˆ = 325,790 - 321.67x + 0.794x².

(a) Explain why the value βˆ₀ = 325,790 has no practical interpretation.

(b) Explain why the value βˆ₁ = -321.67 should not be interpreted as a slope.

(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.

Reference no: EM131404530

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