Mathematics, 29.07.2020 23:01 black4sureg
To relate the stopping distance of a car to its speed, ten cars were tested at five different speeds, two cars at each speed. The following data were obtained.
Speed (x) 20 20 30 30 40 50 50 60 60
Stop. Dist. y (ft) 16.3 26.7 39.2 63.5 65.7 98.4 104.1 155.6 217.2
Required:
a. Fit a least-squares linear equation to these data. Plot the residuals against the speed.
b. Comment on the goodness of the fit based on the overall F-statistic and the residual plot. Which two assumptions of the linear regression model seem to be violated?
c. Based on the residual plot, what transformation of stopping distance should be used to lin- earize the relationship with respect to speed? A clue to find this transformation is provided by the following engineering argument: In bringing a car to a stop, its kinetic energy is dissipated as its braking energy, and the two are roughly equal. The kinetic energy is pro- portional to the square of the car's speed, while the breaking energy is proportional to the stopping distance, assuming a constant braking force.
d. Make this linearizing transformation and check the goodness of fit. What is the predicted stopping distance according to this model if the car is traveling at 40 mph?
Answers: 2
Mathematics, 21.06.2019 14:00
The product of two negative rational numbers is always zero sometimes zero never zero
Answers: 1
Mathematics, 21.06.2019 16:30
You drop a rubber ball off the roof of a 50 meter high building onto a paved parking lot. it bounces back up with every bounce, but not quite all the way back up to you. after the first bounce it bounces back only 80 percent of the distance it was dropped from. the pattern continues, meaning after every bounce it comes up to just 80 percent of the previous maximum height. so if before the first bounce the height is 50 meters, what height does the ball reach after the fifth bounce? round your answer to one decimal place and chose the correct response from the choices below:
Answers: 1
Mathematics, 21.06.2019 22:30
Which of the functions below could have created this graph?
Answers: 1
Mathematics, 22.06.2019 01:00
Def rotates 90 clockwise about point a to create dβ eβ fβ. therefore, which equation must be true ?
Answers: 2
To relate the stopping distance of a car to its speed, ten cars were tested at five different speeds...
Medicine, 18.10.2020 05:01
Mathematics, 18.10.2020 05:01
Mathematics, 18.10.2020 05:01
Mathematics, 18.10.2020 05:01
Mathematics, 18.10.2020 05:01
Chemistry, 18.10.2020 05:01
Mathematics, 18.10.2020 05:01
History, 18.10.2020 05:01
Computers and Technology, 18.10.2020 05:01
Social Studies, 18.10.2020 05:01
Mathematics, 18.10.2020 05:01
Mathematics, 18.10.2020 05:01
Mathematics, 18.10.2020 05:01
Mathematics, 18.10.2020 05:01
Health, 18.10.2020 05:01
Mathematics, 18.10.2020 05:01