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The weight of a car (in pounds) can influence the mileage (in mpg) that the car can obtain. A random sample of 18 cars was taken and the weight and mileage were recorded for each. The data are in the table below. a) State the random variables. rv X = the mean weight rv Y = the mean weight X, weight (in pounds) 3500 2250 4500 3500 3500 3000 5500 4000 4500 3500 4000 2250 2250 3000 2500 3000 3000 2750 of the mean mileage of the mean weight Y, mileage (in mpg) 28 41.1 17 28 32.6 31.4 13.2 23.4 19.5 31.3 23.6 53.3 38.9 31.4 40.9 31.5 32.2 36.3

The weight of a car (in pounds) can influence the mileage (in mpg) that the car can obtain. A random sample of 18 cars was taken and the weight and mileage were recorded for each. The data are in the table below. a) State the random variables. rv X = the mean weight rv Y = the mean weight X, weight (in pounds) 3500 2250 4500 3500 3500 3000 5500 4000 4500 3500 4000 2250 2250 3000 2500 3000 3000 2750 of the mean mileage of the mean weight Y, mileage (in mpg) 28 41.1 17 28 32.6 31.4 13.2 23.4 19.5 31.3 23.6 53.3 38.9 31.4 40.9 31.5 32.2 36.3

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 9PPS
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The weight of a car (in pounds) can influence the mileage (in mpg) that the car can obtain. A random sample of 18 cars was taken and the weight and mileage were recorded for each. The data are in the table below.

X, weight (in pounds) Y, mileage (in mpg)
3500 28
2250 41.1
4500 17
3500 28
3500 32.6
3000 31.4
5500 13.2
4000 23.4
4500 19.5
3500 31.3
4000 23.6
2250 53.3
2250 38.9
3000 31.4
2500 40.9
3000 31.5
3000 32.2
2750 36.3
The weight of a car (in pounds) can influence the mileage (in mpg) that the car can obtain. A random sample of 18 cars was taken and the weight and mileage were recorded for each. The data are in the table below. a) State the random variables. rv X = the mean weight rv Y = the mean weight X, weight (in pounds) 3500 2250 4500 3500 3500 3000 5500 4000 4500 3500 4000 2250 2250 3000 2500 3000 3000 2750 of the mean mileage of the mean weight Y, mileage (in mpg) 28 41.1 17 28 32.6 31.4 13.2 23.4 19.5 31.3 23.6 53.3 38.9 31.4 40.9 31.5 32.2 36.3
Transcribed Image Text:The weight of a car (in pounds) can influence the mileage (in mpg) that the car can obtain. A random sample of 18 cars was taken and the weight and mileage were recorded for each. The data are in the table below. a) State the random variables. rv X = the mean weight rv Y = the mean weight X, weight (in pounds) 3500 2250 4500 3500 3500 3000 5500 4000 4500 3500 4000 2250 2250 3000 2500 3000 3000 2750 of the mean mileage of the mean weight Y, mileage (in mpg) 28 41.1 17 28 32.6 31.4 13.2 23.4 19.5 31.3 23.6 53.3 38.9 31.4 40.9 31.5 32.2 36.3
f) Should you use the regression equation to predict the mileage of a randomly selected car that has a weight of 4488 pounds? yes, this X-value is between Xmin and Xmax Should you use the regression equation to predict the mileage of a randomly selected car that has a weight of 7948 pounds? no, this X-value is not between Xmin and Xmax Looking at your answers above, predict the mileage for the one above that it made sense to do so. Make sure you use the stored equation and not the rounded equation from part c. Round final answer to 3 decimal places. 4488 • The predicted mileage for a randomly selected car that has a weight of 19.658 x mpg g) Compute the residual for the following ordered pair in the data: (4000, 23.4). Make sure you use the stored equation and not the rounded equation from part c. Round final answer to 3 decimal places. The residual for the car with a weight of 4000 pounds is Interpret what this value means in the context of this problem. • The actual mileage of a randomly selected car with a weight of 4000 pounds is Select an answer what was predicted. o pounds is
Transcribed Image Text:f) Should you use the regression equation to predict the mileage of a randomly selected car that has a weight of 4488 pounds? yes, this X-value is between Xmin and Xmax Should you use the regression equation to predict the mileage of a randomly selected car that has a weight of 7948 pounds? no, this X-value is not between Xmin and Xmax Looking at your answers above, predict the mileage for the one above that it made sense to do so. Make sure you use the stored equation and not the rounded equation from part c. Round final answer to 3 decimal places. 4488 • The predicted mileage for a randomly selected car that has a weight of 19.658 x mpg g) Compute the residual for the following ordered pair in the data: (4000, 23.4). Make sure you use the stored equation and not the rounded equation from part c. Round final answer to 3 decimal places. The residual for the car with a weight of 4000 pounds is Interpret what this value means in the context of this problem. • The actual mileage of a randomly selected car with a weight of 4000 pounds is Select an answer what was predicted. o pounds is
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