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

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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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