The following table shows the rate R of vehicular involvement in traffic accidents (per 100,000,000 vehicle-miles)...

The following table shows the rate R of vehicular involvement in traffic accidents (per 100,000,000 vehicle-miles) as a function of vehicular speed s, in miles per hour, for commercial vehicles driving at night on urban streets.

Speed s	Accident rate R
20	1500
25	650
30	200
35	400
40	650
45	1300

(a) Use regression to find a quadratic model for the data. (Round the regression parameters to two decimal places.)
R =

(b) Calculate

R(65).

(Round your answer to two decimal places.)

R(65) =

Explain what your answer means in practical terms.

Commercial vehicles driving at night on urban streets at miles per hour have traffic accidents at a rate of per 100,000,000 vehicle miles.

(c) At what speed is vehicular involvement in traffic accidents (for commercial vehicles driving at night on urban streets) at a minimum? (Round your answer to the nearest whole number.)
mph

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Colby Messinger answered 2 years ago

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