4. Slow down and save Fuel efficiency for many cars is related to how fast the car is driven. To explore this relationship, some researchers calculated the mean fuel efficiency for nine different car models at 13 different speeds. Here are the results. Speed (mph) 15 20 25 30 35 40 45 50 55 60 65 70 75 Mean fuel efficiency (mpg) 24.4 27.9 30.5 31.7 31.2 31.0 31.6 32.4 32.4 31.4 29.2 26.8 24.8 (a) Calculate a quadratic model for these data using speed as the explanatory variable. (b) Sketch the scatterplot, along with the quadratic model. (c) Calculate and interpret the residual for the cars traveling 60 miles per hour.
4. Slow down and save Fuel efficiency for many cars is related to how fast the car is driven. To explore this relationship, some researchers calculated the mean fuel efficiency for nine different car models at 13 different speeds. Here are the results. Speed (mph) 15 20 25 30 35 40 45 50 55 60 65 70 75 Mean fuel efficiency (mpg) 24.4 27.9 30.5 31.7 31.2 31.0 31.6 32.4 32.4 31.4 29.2 26.8 24.8 (a) Calculate a quadratic model for these data using speed as the explanatory variable. (b) Sketch the scatterplot, along with the quadratic model. (c) Calculate and interpret the residual for the cars traveling 60 miles per hour.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
Related questions
Question
Transcribed Image Text:4.
Slow down and save Fuel efficiency for many cars is
related to how fast the car is driven. To explore this
relationship, some researchers calculated the mean fuel
efficiency for nine different car models at 13 different
speeds. Here are the results.
Speed (mph)
15
20
25
30
35
40
45
50
55
60
65
70
75
Mean fuel efficiency (mpg)
24.4
27.9
30.5
31.7
31.2
31.0
31.6
32.4
32.4
31.4
29.2
26.8
24.8
(a) Calculate a quadratic model for these data using speed as
the explanatory variable.
(b) Sketch the scatterplot, along with the quadratic model.
(c) Calculate and interpret the residual for the cars traveling
60 miles per hour.
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