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The data in the table represent the weights of various domestic cars and their miles per gallon in the city for the 2008 model year. For these data, the least-squares regression line is y = - 0.006x + 41.337. A twelfth car weighs 3,425 pounds and gets 12 miles per gallon. (a) The coefficient of determination of the expanded data set is R2 = %. (Round to one decimal place as needed.) Data Table How does the addition of the twelfth car to the data set affect R2? Weight |(pounds), x Miles per Gallon, y A. It increases R2. Car 1 Car 2 Car 3 3,771 22 B. It decreases R2. 3,990 19 C. It does not affect R2. 3,534 20 Car 4 3,172 24 (b) Is the point corresponding to the twelfth car influential? Is it an outlier? Car 5 Car 6 Car 7 2,579 27 3,730 20 O A. No, it is not influential. Yes, it is an outlier. 2,605 25 O B. Yes, it is influential. No, it is not an outlier. Car 8 Car 9 Car 10 3,777 19 O C. No, it is not influential. No, it is not an outlier. 3,308 19 O D. Yes, it is influential. Yes, it is an outlier. 2,997 26 Car 11 2,751 27

The data in the table represent the weights of various domestic cars and their miles per gallon in the city for the 2008 model year. For these data, the least-squares regression line is y = - 0.006x + 41.337. A twelfth car weighs 3,425 pounds and gets 12 miles per gallon. (a) The coefficient of determination of the expanded data set is R2 = %. (Round to one decimal place as needed.) Data Table How does the addition of the twelfth car to the data set affect R2? Weight |(pounds), x Miles per Gallon, y A. It increases R2. Car 1 Car 2 Car 3 3,771 22 B. It decreases R2. 3,990 19 C. It does not affect R2. 3,534 20 Car 4 3,172 24 (b) Is the point corresponding to the twelfth car influential? Is it an outlier? Car 5 Car 6 Car 7 2,579 27 3,730 20 O A. No, it is not influential. Yes, it is an outlier. 2,605 25 O B. Yes, it is influential. No, it is not an outlier. Car 8 Car 9 Car 10 3,777 19 O C. No, it is not influential. No, it is not an outlier. 3,308 19 O D. Yes, it is influential. Yes, it is an outlier. 2,997 26 Car 11 2,751 27

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.6: Regression And Median-fit Lines
Problem 6PPS
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The data in the table represent the weights of various domestic cars and their miles per gallon in the city for the 2008 model year. For these data, the least-squares regression line is y = - 0.006x + 41.337. A twelfth car weighs 3,425 pounds and gets 12 miles per gallon. (a) The coefficient of determination of the expanded data set is R = %. (Round to one decimal place as needed.) Data Table How does the addition of the twelfth car to the data set affect R? Miles per Weight |(pounds), x A. It increases R. Gallon, y Car 1 3,771 22 B. It decreases R2. Car 2 3,990 19 C. It does not affect R2. 3,534 Car 3 20 Car 4 3,172 24 (b) Is the point corresponding to the twelfth car influential? Is it an outlier? Car 5 2,579 27 Car 6 3,730 20 A. No, it is not influential. Yes, it is an outlier. Car 7 2,605 25 B. Yes, it is influential. No, it is not an outlier. Car 8 3,777 19 C. No, it is not influential. No, it is not an outlier. Car 9 3,308 19 D. Yes, it is influential. Yes, it is an outlier. Car 10 2,997 26 Car 11 2,751 27
Transcribed Image Text:The data in the table represent the weights of various domestic cars and their miles per gallon in the city for the 2008 model year. For these data, the least-squares regression line is y = - 0.006x + 41.337. A twelfth car weighs 3,425 pounds and gets 12 miles per gallon. (a) The coefficient of determination of the expanded data set is R = %. (Round to one decimal place as needed.) Data Table How does the addition of the twelfth car to the data set affect R? Miles per Weight |(pounds), x A. It increases R. Gallon, y Car 1 3,771 22 B. It decreases R2. Car 2 3,990 19 C. It does not affect R2. 3,534 Car 3 20 Car 4 3,172 24 (b) Is the point corresponding to the twelfth car influential? Is it an outlier? Car 5 2,579 27 Car 6 3,730 20 A. No, it is not influential. Yes, it is an outlier. Car 7 2,605 25 B. Yes, it is influential. No, it is not an outlier. Car 8 3,777 19 C. No, it is not influential. No, it is not an outlier. Car 9 3,308 19 D. Yes, it is influential. Yes, it is an outlier. Car 10 2,997 26 Car 11 2,751 27
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