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In: Statistics and Probability

Motorists travelling at higher rates of speed or driving too fast for conditions have less time...

Motorists travelling at higher rates of speed or driving too fast for conditions have less time to react, take longer to stop in an emergency, and don’t always see warning and advisory signs. The faster your speed, the more distance you need to stop. It increases even more in wet or icy road conditions. Following tables shows the speed of a vehicle and total stopping distance (reaction + braking) in ideal weather condition. It is determined that approximately 98.77% of the variation in the total stopping distance can be explained by the variation in the speed.

Speed (km/h)

Total Stopping Distance (meter)

30

21

40

25.70

50

34.80

60

45.20

70

56.70

80

72.00

90

83.00

100

100.90

110

113.94

120

135

(a)   Determine the five-number summary of the Total Stopping Distance. (1 mark)

(b)   Determine if the Total Stopping Distance contains outliers .

(c)    Calculate the least squares regression equation for predicting the Total Stopping Distance from the speed of a vehicle.

(d)   Calculate the residual if the speed of your vehicle is 70 km/h. (1 mark)


Solutions

Expert Solution

check the calculations. Study the related chapters.

orchestra answered 2 years ago
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