The total time needed to bring a car to stop after the driver perceives danger is the reaction time plus the braking time. Reaction time is the time between the perception of danger and applying the brakes, and braking time is the time for stopping after applying the brakes. The table below gives the stopping distance d (in feet) of the car traveling at speeds v (in miles per hour) from the instant of danger perception. a. Fit a least squares 2nd degree polynomial of the form d = a, + a1v + azv² b. Estimated when v = 45 mph

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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Problem 6: Non-linear Regression Model
The total time needed to bring a car to stop after the driver
perceives danger is the reaction time plus the braking time.
Reaction time is the time between the perception of danger
and applying the brakes, and braking time is the time for
stopping after applying the brakes. The table below gives
the stopping distance d (in feet) of the car traveling at
speeds v (in miles per hour) from the instant of danger
perception.
a. Fit a least squares 2nd degree polynomial of the form
d = a, + a1v + a2v²
b. Estimated when v = 45 mph
d
V
ft
mph
20
54
30
90
40
145
50
210
60
305
70
400
Transcribed Image Text:Problem 6: Non-linear Regression Model The total time needed to bring a car to stop after the driver perceives danger is the reaction time plus the braking time. Reaction time is the time between the perception of danger and applying the brakes, and braking time is the time for stopping after applying the brakes. The table below gives the stopping distance d (in feet) of the car traveling at speeds v (in miles per hour) from the instant of danger perception. a. Fit a least squares 2nd degree polynomial of the form d = a, + a1v + a2v² b. Estimated when v = 45 mph d V ft mph 20 54 30 90 40 145 50 210 60 305 70 400
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