?The time \(t\) (in seconds) required to attain a speed of \(s\) miles per hour from a standing start for a Volkswagen Passat is shown in the table
Chapter 1, Problem 8(choose chapter or problem)
The time \(t\) (in seconds) required to attain a speed of \(s\) miles per hour from a standing start for a Volkswagen Passat is shown in the table. (Source: Car & Driver)
(a) Use the regression capabilities of a graphing utility to find a quadratic model for the data.
(b) Use a graphing utility to plot the data and graph the model.
(c) Use the graph in part (b) to state why the model is not appropriate for determining the times required to attain speeds of less than 20 miles per hour.
(d) Because the test began from a standing start, add the point (0, 0) to the data. Fit a quadratic model to the revised data and graph the new model.
(e) Does the quadratic model in part (d) more accurately model the behavior of the car? Explain.
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