(a) The coefficient of determination of the expanded data set is R? = %. (Round to one decimal place as needed.) How does the addition of the twelfth car to the data set affect R2? A. It decreases R2. В. It increases R2. C. It does not affect R?. (b) Is the point corresponding to the twelfth car influential? Is it an outlier? A. No, it is not influential. No, it is not an outlier. B. Yes, it is influential. Yes, it is an outlier. C. Yes, it is influential. No, it is not an outlier. D. No, it is not influential. Yes, it is an outlier.

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Chapter1: Starting With Matlab
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Question
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 = - 0.005x+ 38.737. A twelfth car weighs 3,425 pounds and
gets 11 miles per gallon.
(a) Compute the coefficient of determination of the expanded data set. What effect does the addition of the twelfth car to the data set have on R?
(b) Is the point corresponding to the twelfth car influential? Is it an outlier?
Click the icon to view the data table.
Data Table
Weight
|(pounds), x
Miles per
Gallon, y
Car 1
3,761
22
Car 2
3,987
22
Car 3
3,526
22
Car 4
3,175
24
Car 5
2,579
27
Car 6
3,731
19
Car 7
2,605
26
Car 8
3,779
18
Car 9
3,312
22
Car 10
2,992
25
Car 11
2,755
25
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 = - 0.005x+ 38.737. A twelfth car weighs 3,425 pounds and gets 11 miles per gallon. (a) Compute the coefficient of determination of the expanded data set. What effect does the addition of the twelfth car to the data set have on R? (b) Is the point corresponding to the twelfth car influential? Is it an outlier? Click the icon to view the data table. Data Table Weight |(pounds), x Miles per Gallon, y Car 1 3,761 22 Car 2 3,987 22 Car 3 3,526 22 Car 4 3,175 24 Car 5 2,579 27 Car 6 3,731 19 Car 7 2,605 26 Car 8 3,779 18 Car 9 3,312 22 Car 10 2,992 25 Car 11 2,755 25
(a) The coefficient of determination of the expanded data set is R
%.
(Round to one decimal place as needed.)
How does the addition of the twelfth car to the data set affect R2?
A.
It decreases R2.
В.
It increases R².
C. It does not affect R2.
(b) Is the point corresponding to the twelfth car influential? Is it an outlier?
A. No, it is not influential. No, it is not an outlier.
B. Yes, it is influential. Yes, it is an outlier.
C. Yes, it is influential. No, it is not an outlier.
D. No, it is not influential. Yes, it is an outlier.
Transcribed Image Text:(a) The coefficient of determination of the expanded data set is R %. (Round to one decimal place as needed.) How does the addition of the twelfth car to the data set affect R2? A. It decreases R2. В. It increases R². C. It does not affect R2. (b) Is the point corresponding to the twelfth car influential? Is it an outlier? A. No, it is not influential. No, it is not an outlier. B. Yes, it is influential. Yes, it is an outlier. C. Yes, it is influential. No, it is not an outlier. D. No, it is not influential. Yes, it is an outlier.
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