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
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question

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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