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

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Advance Math

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

SpeedsAccidentrate R
201500
25650
30200
35400
40650
451300

(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 streetsat  miles per hour have traffic accidents at a rateof  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 aminimum? (Round your answer to the nearest whole number.)
mph

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