Gas mileage is tested for a car under different driving conditions. At lower speeds, the car is driven in stop-and-go traffic. At higher speeds, the car is overcoming more wind resistance. The variable x given in the table represents the speed (in mph) for a compact car, and m (x) represents the gas mileage (in mpg). Part: 0/3 Part 1 of 3 X 25 30 m(x) 22.8 25.2 35 28.1 40 45 50 55 60 65 30.9 32.1 31.1 28.5 24.3 22.1 (a) Use regression to find a quadratic function to model the data. Round to the nearest ten-thousandth, hundredth, and tenth, respectively. The function is m (x)= A

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Gas mileage is tested for a car under different driving conditions. At lower speeds, the car is driven in stop-and-go traffic. At higher speeds, the car is
overcoming more wind resistance. The variable x given in the table represents the speed (in mph) for a compact car, and m (x) represents the gas mileage (in
mpg).
Part: 0/3
Part 1 of 3
X
25
30
35
40 45 50
m(x) 22.8 25.2 28.1 30.9 32.1
77
55
31.1 28.5 24.3 22.1
(a) Use regression to find a quadratic function to model the data. Round to the nearest ten-thousandth, hundredth, and tenth, respectively.
The function is m (x)
開
60 65
S
S
Transcribed Image Text:Gas mileage is tested for a car under different driving conditions. At lower speeds, the car is driven in stop-and-go traffic. At higher speeds, the car is overcoming more wind resistance. The variable x given in the table represents the speed (in mph) for a compact car, and m (x) represents the gas mileage (in mpg). Part: 0/3 Part 1 of 3 X 25 30 35 40 45 50 m(x) 22.8 25.2 28.1 30.9 32.1 77 55 31.1 28.5 24.3 22.1 (a) Use regression to find a quadratic function to model the data. Round to the nearest ten-thousandth, hundredth, and tenth, respectively. The function is m (x) 開 60 65 S S
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