Answer c ​(c) The linear correlation coefficient for the data without Car 12 included is r=−0.943. Compare the results of parts​ (a) and​ (b) to the scatter diagram and linear correlation coefficient without Car 12 included. Why are the results here​ reasonable?   The absolute value of the correlation coefficient ▼     and the sign of the correlation coefficient ▼   changed. did not change. The results here are reasonable because Car 12 ▼   has a weight outside the range of the other cars' weights. does not follow the overall pattern of the data. follows the overall pattern of the data. has a weight within the range of the other cars' weights.

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Answer c
​(c) The linear correlation coefficient for the data without Car 12 included is
r=−0.943.
Compare the results of parts​ (a) and​ (b) to the scatter diagram and linear correlation coefficient without Car 12 included. Why are the results here​ reasonable?
 
The absolute value of the correlation coefficient
 
 
and the sign of the correlation coefficient
 
changed.
did not change.
The results here are reasonable because Car 12
 
has a weight outside the range of the other cars' weights.
does not follow the overall pattern of the data.
follows the overall pattern of the data.
has a weight within the range of the other cars' weights.
An engineer wanted to determine how the weight of a car affects gas mileage. The accompanying data represent the weights of various domestic cars and their gas mileages in the city for a certain model yea
Suppose that we add Car 12 to the original data. Car 12 weighs 3,305 pounds and gets 19 miles per gallon. Complete parts (a) through (f) below.
Click the icon to view the data table.
(a) Draw the scatter diagram with Car 12 included.
Choose the correct graph below.
O A.
31-
23-
15+
2500 3300 4100
Weight (lbs)
Q
OB.
31-
23-
15
H
2500 3300 4100
Weight (lbs)
(b) Compute the linear correlation coefficient with Car 12 included.
The linear correlation coefficient with Car 12 included is r=
(Round to three decimal places as needed.)
Q
Q
per Gallon
31-
23-
15
2500 3300
+++++>
4100
Car
Car 1
Car 2
Car 3
Car 4
Car 5
Car 6
Car 7
Car 8
Car 9
Car 10
Car 11
Weights and Gas Mileages
3,755
3,944
Weight (lbs) Miles per Gallon
21
17
21
22
27
18
26
17
20
25
26
3,590
3,175
2,580
3,730
Q
2,605
3,772
Q
3,310
2,991
2,752
O D.
31-
23-
HICH
**
15-3+++++++------------------>
2500 3300 4100
X
Q
Q
✔
Transcribed Image Text:An engineer wanted to determine how the weight of a car affects gas mileage. The accompanying data represent the weights of various domestic cars and their gas mileages in the city for a certain model yea Suppose that we add Car 12 to the original data. Car 12 weighs 3,305 pounds and gets 19 miles per gallon. Complete parts (a) through (f) below. Click the icon to view the data table. (a) Draw the scatter diagram with Car 12 included. Choose the correct graph below. O A. 31- 23- 15+ 2500 3300 4100 Weight (lbs) Q OB. 31- 23- 15 H 2500 3300 4100 Weight (lbs) (b) Compute the linear correlation coefficient with Car 12 included. The linear correlation coefficient with Car 12 included is r= (Round to three decimal places as needed.) Q Q per Gallon 31- 23- 15 2500 3300 +++++> 4100 Car Car 1 Car 2 Car 3 Car 4 Car 5 Car 6 Car 7 Car 8 Car 9 Car 10 Car 11 Weights and Gas Mileages 3,755 3,944 Weight (lbs) Miles per Gallon 21 17 21 22 27 18 26 17 20 25 26 3,590 3,175 2,580 3,730 Q 2,605 3,772 Q 3,310 2,991 2,752 O D. 31- 23- HICH ** 15-3+++++++------------------> 2500 3300 4100 X Q Q ✔
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