(c) Compute the linear correlation coefficient between the weight of a car and its miles per gallon.

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​(c) Compute the linear correlation coefficient between the weight of a car and its miles per gallon.

An engineer wanted to determine how the weight of a car affects gas mileage. The
following data represent the weight of various cars and their gas mileage. Complete parts
(a) through (d).
Car
A
B
C
D
E
Weight
(pounds)
3680
3310
3000
3590
2580
Miles per
Gallon
19
19
Click the icon to view the critical values table.
22
18
27
(b) Draw a scatter diagram of the data. Choose the correct scatter plot.
O A.
B.
Weight (lbs)
mes per galon.
Weight (lbs)
4000
2500+
15
O. C.
40001
2500+
15
..
•
.
mpg
mpg
.
30
B
30
Q
Q
Q
G
d
30-
O D.
15+
2500
ra
(Round to three decimal places as needed.)
30-
18
4000
Weight (lbs)
..
15+
2500
Weight (lbs)
4000
Q
Q
(c) Compute the linear correlation coefficient between the weight of a car and
its miles per gallon.
Transcribed Image Text:An engineer wanted to determine how the weight of a car affects gas mileage. The following data represent the weight of various cars and their gas mileage. Complete parts (a) through (d). Car A B C D E Weight (pounds) 3680 3310 3000 3590 2580 Miles per Gallon 19 19 Click the icon to view the critical values table. 22 18 27 (b) Draw a scatter diagram of the data. Choose the correct scatter plot. O A. B. Weight (lbs) mes per galon. Weight (lbs) 4000 2500+ 15 O. C. 40001 2500+ 15 .. • . mpg mpg . 30 B 30 Q Q Q G d 30- O D. 15+ 2500 ra (Round to three decimal places as needed.) 30- 18 4000 Weight (lbs) .. 15+ 2500 Weight (lbs) 4000 Q Q (c) Compute the linear correlation coefficient between the weight of a car and its miles per gallon.
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