gas Hilleagus An engineer wanted to determine how the weight of a car affects gas mileage. The accompanying data represent the weights of various domestic čars and theiP below. Click here to view the car data. Click here to view the table of critical values of the correlation .coefficient. (a) Determine which variable is the likely explanatory variable and which is the likely response variable. Choose the correct answer below. O The explanatory variable is the weight and the response variable is the miles per gallon. O The explanatory variable is the miles per gallon and the response variable is the weight. Question V (b) Draw a scatter diagram of the data. Choose the correct graph below. OA. OB. Oc. OD. 4100- 4100- 31- 3300 3300 2500 15 23 Mies per Gallon 15- 2500 31 3300 4100 23 2500 3300 4100 Weight (bs) 2500 15 Miles per Gallon 31 Weight (ibs) (c) Compute the linear correlation coefficient between the weight of a car and its miles per gallon. (Round to three decimal places as needed.) (d) Comment on the type of relation that appears to exist between the weight of a car and its miles per gallion based on the scatter diagram and the linear correlation coefficient. The variables weight of a car and its miles per gallon are V associated because r is and the absolute value of the correlation coefficient is v than the critical valueO (Round to three decimal places as needed.)

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

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 year. Complete parts (a) through (d)
below.
Click here to view the car data.
Click here to view the table of critical values of the correlation coefficient.
(a) Determine which variable is the likely explanatory variable and which is the likely response variable. Choose the correct answer below.
The explanatory variable is the weight and the response variable is the miles per gallon.
O The explanatory variable is the miles per gallon and the response variable is the weight.
Question Viewer
(b) Draw a scatter diagram of the data. Choose the correct graph below.
O B.
OD.
O A.
С.
31-
4100-
31-
4100-
23
3300-
23-
3300-
15+
2500
3300
Weight (Ibs)
25001
15
Miles per Gallon
157
2500
2500
15
Miles per Gallon
4100
23
31
3300
4100
23
31
Weight (Ibs)
(c) Compute the linear correlation coefficient between the weight of a car and its miles per gallon.
(Round to three decimal places as needed.)
(d) Comment on the type of relation that appears to exist between the weight of a car and its miles per gallon based on the scatter diagram and the linear correlation coefficient.
The variables weight of a car and its miles per gallon are
associated because r is
and the absolute value of the correlation coefficient is
than the critical value
(Round to three decimal places as needed.)
Statcrunch
Next
Miles per Gallon
Weight (Ibs)
Miles per Gallon
Weight (Ibs)
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 year. Complete parts (a) through (d) below. Click here to view the car data. Click here to view the table of critical values of the correlation coefficient. (a) Determine which variable is the likely explanatory variable and which is the likely response variable. Choose the correct answer below. The explanatory variable is the weight and the response variable is the miles per gallon. O The explanatory variable is the miles per gallon and the response variable is the weight. Question Viewer (b) Draw a scatter diagram of the data. Choose the correct graph below. O B. OD. O A. С. 31- 4100- 31- 4100- 23 3300- 23- 3300- 15+ 2500 3300 Weight (Ibs) 25001 15 Miles per Gallon 157 2500 2500 15 Miles per Gallon 4100 23 31 3300 4100 23 31 Weight (Ibs) (c) Compute the linear correlation coefficient between the weight of a car and its miles per gallon. (Round to three decimal places as needed.) (d) Comment on the type of relation that appears to exist between the weight of a car and its miles per gallon based on the scatter diagram and the linear correlation coefficient. The variables weight of a car and its miles per gallon are associated because r is and the absolute value of the correlation coefficient is than the critical value (Round to three decimal places as needed.) Statcrunch Next Miles per Gallon Weight (Ibs) Miles per Gallon Weight (Ibs)
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 year. Complete parts (a) through (d)
below.
Click her
Click her
Critical values for the correlation coefficient
(a) Deter
the correct answ
- X
The
Critical Values for Correlation Coefficient
Car data
The
3
0.997
(b) Draw
Car
Miles per
Weight
(Ibs)
3,765
3,944
3,530
3,175
2,580
3,730
2,605
3,772
3,310
2,991
2,752
4 0.950
5 0.878
6 0.811
7 0.754
8 0.707
9 0.666
10 0.632
11 0.602
12 0.576
13 0.553
14 0.532
15 0.514
16 0.497
17 0.482
18 0.468
19 0.456
20 0.444
21 0.433
22 0.423
23 0.413
24 0.404
25 0.396
26 0.388
27 0.381
Gallon
Car 1
19
O A.
Car 2
17
Car 3
21
Car 4
22
Question Viewer
Car 5
27
Car 6
18
Car 7
26
Car 8
17
Car 9
20
15
23
Miles per Gallon
31
Car 10
25
Car 11
26
(c) Com
r=
(Round
Print
Done
(d) Com
sed on the scatt
The vari
e absolute value
(Round
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 year. Complete parts (a) through (d) below. Click her Click her Critical values for the correlation coefficient (a) Deter the correct answ - X The Critical Values for Correlation Coefficient Car data The 3 0.997 (b) Draw Car Miles per Weight (Ibs) 3,765 3,944 3,530 3,175 2,580 3,730 2,605 3,772 3,310 2,991 2,752 4 0.950 5 0.878 6 0.811 7 0.754 8 0.707 9 0.666 10 0.632 11 0.602 12 0.576 13 0.553 14 0.532 15 0.514 16 0.497 17 0.482 18 0.468 19 0.456 20 0.444 21 0.433 22 0.423 23 0.413 24 0.404 25 0.396 26 0.388 27 0.381 Gallon Car 1 19 O A. Car 2 17 Car 3 21 Car 4 22 Question Viewer Car 5 27 Car 6 18 Car 7 26 Car 8 17 Car 9 20 15 23 Miles per Gallon 31 Car 10 25 Car 11 26 (c) Com r= (Round Print Done (d) Com sed on the scatt The vari e absolute value (Round
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman